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Working Group: | Breast | Colorectal |
Lung | Prostate |
General Methods
Breast Working Group
Plevritis SK, Kurian AW, Sigal BM, Daniel BL, Ikeda DM, Stockdale FE, Garber AM. Cost-effectiveness of screening BRCA1/2 mutation carriers with breast magnetic resonance imaging. JAMA 2006 May 24;295(20):2374-84.
Context: Women with inherited BRCA1/2 mutations are at high risk for breast cancer, which mammography often misses. Screening with contrast-enhanced breast magnetic resonance imaging (MRI) detects cancer earlier but increases costs and results in more false-positive scans. Objective: To evaluate the cost-effectiveness of screening BRCA1/2 mutation carriers with mammography plus breast MRI compared with mammography alone. Design, Setting, and Patients: A computer model that simulates the life histories of individual BRCA1/2 mutation carriers, incorporating the effects of mammographic and MRI screening was used. The accuracy of mammography and breast MRI was estimated from published data in high-risk women. Breast cancer survival in the absence of screening was based on the Surveillance, Epidemiology and End Results database of breast cancer patients diagnosed in the prescreening period (1975-1981), adjusted for the current use of adjuvant therapy. Utilization rates and costs of diagnostic and treatment interventions were based on a combination of published literature and Medicare payments for 2005. Main Outcome Measures: The survival benefit, incremental costs, and cost-effectiveness of MRI screening strategies, which varied by ages of starting and stopping MRI screening, were computed separately for BRCA1 and BRCA2 mutation carriers. Results: Screening strategies that incorporate annual MRI as well as annual mammography have a cost per quality-adjusted life-year (QALY) gained ranging from less than 45,000 dollars to more than 700,000 dollars, depending on the ages selected for MRI screening and the specific BRCA mutation. Relative to screening with mammography alone, the cost per QALY gained by adding MRI from ages 35 to 54 years is 55,420 dollars for BRCA1 mutation carriers, 130,695 dollars for BRCA2 mutation carriers, and 98,454 dollars for BRCA2 mutation carriers who have mammographically dense breasts. Conclusions: Breast MRI screening is more cost-effective for BRCA1 than BRCA2 mutation carriers. The cost-effectiveness of adding MRI to mammography varies greatly by age.
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Plevritis SK, Salzman P, Sigal BM, Glynn PW. A natural history model of stage progression applied to breast cancer. Stat Med 2006 Apr 5; [Epub ahead of print].
Abstract: Invasive breast cancer is commonly staged as local, regional or distant disease. We present a stochastic model of the natural history of invasive breast cancer that quantifies (1) the relative rate that the disease transitions from the local, regional to distant stages, (2) the tumour volume at the stage transitions and (3) the impact of symptom-prompted detection on the tumour size and stage of invasive breast cancer in a population not screened by mammography. By symptom-prompted detection, we refer to tumour detection that results when symptoms appear that prompt the patient to seek clinical care. The model assumes exponential tumour growth and volume-dependent hazard functions for the times to symptomatic detection and stage transitions. Maximum likelihood parameter estimates are obtained based on SEER data on the tumour size and stage of invasive breast cancer from patients who were symptomatically detected in the absence of screening mammography. Our results indicate that the rate of symptom-prompted detection is similar to the rate of transition from the local to regional stage and an order of magnitude larger than the rate of transition from the regional to distant stage. We demonstrate that, in the even absence of screening mammography, symptom-prompted detection has a large effect on reducing the occurrence of distant staged disease at initial diagnosis.
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Stout NK, Rosenberg MA, Trentham-Dietz A, Smith MA, Robinson SM, Fryback DG. Retrospective Cost-effectiveness Analysis of Screening Mammography. J Natl Cancer Inst 2006;98(11):774-782.
Background: Many guidelines recommend screening mammography every 1 – 2 years for women older than 40 years; more than 70% of women now participate in routine screening. No studies have examined the societal impact of screening practices over the past decade in the United States on costs and quality-adjusted life-years (QALYs). We performed a retrospective cost-effectiveness analysis comparing actual and alternative screening mammography scenarios. Methods: We used a discrete-event simulation model of breast cancer epidemiology to estimate the costs and the number of QALYs that were associated with observed screening mammography patterns in the United States from 1990 to 2000 for women aged 40 years or older. We also estimated costs and QALYS for no screening and for 64 alternative screening scenarios. Incremental cost-effectiveness ratios were computed. Sensitivity analyses were performed on key parameters. Results: Actual U.S. screening patterns from 1990 to 2000 accrued 947.5 million QALYs and cost $166 billion over the lifetimes of the screened women, resulting in a gain of 1.7 million QALYs for an additional cost of $62.5 billion compared with no screening. Among those polices that were not dominated — i.e., for which no alternative existed that produced more QALYs for lower costs — screening all women aged 40 – 80 years annually per some U.S. guidelines was the most expensive option, costing $58 000 per additional QALY gained compared with the next most costly alternative, screening all women aged 45 – 80 years annually. Many alternative screening scenarios generated more QALYs for less cost (with savings up to $6 billion) than actual screening patterns over the study period. Sensitivity analysis showed that conclusions about the costeffectiveness of screening mammography policies were highly sensitive to small, short-term detrimental effects on quality of life from the screening test itself. Conclusions: Choosing among the effi cient policies to guide current screening recommendations requires consideration of costs to promote participation in screening and measurement of acute quality-of-life effects of mammography.
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Cronin K.A.,Yu B., Krapcho M., Miglioretti D.L., Fay M.P.,Izmirlian G., Ballard-Barbash R., Geller B.M., Feuer E.J. Modeling The Dissemination Of Mammography In The United States. Cancer Causes Control 2005;16:701-712.
Objective: This paper presents a methodology for piecing together disparate data sources to obtain a comprehensive model for the use of mammography screening in the US population for the years 1975-2000. Methods: Two aspects of mammography usage, the age that a woman receives her first mammography and the interval between subsequent mammograms, are modeled separately. The initial dissemination of mammography is based on cross-sectional self report data from national surveys and the interval length between screening exams is fit using longitudinal mammography registry data. Results: The two aspects of mammography usage are combined to simulate screening histories for individual women that are representative of the US population. Simulated mammography patterns for the years 1994-2000 were found to be similar to observed screening patterns from the state level mammography registry for Vermont. Conclusions: The model presented gives insight into screening practices over time and provides an alternative public health measure for screening usage in the US population. The comprehensive description of mammography use from its introduction represents an important first step to understanding the impact of mammography on breast cancer incidence and mortality.
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Mandelblatt JS, Schechter CB, Yabroff KR, Lawrence W, Dignam J, Extermann M,
Fox S, Orosz G, Silliman R, Cullen J, Balducci L; Breast Cancer in Older Women
Research Consortium. Toward optimal screening strategies for older women. J
Gen Intern Med 2005 Jun;20(6):487-96.
Context: Optimal ages of breast cancer screening cessation
remain uncertain. Objective: To evaluate screening policies
based on age and quartiles of life expectancy (LE). Design and Population: We
used a stochastic model with proxies of age-dependent biology to evaluate the
incremental U.S. societal costs and benefits of biennial screening from age 50
until age 70, 79, or lifetime. Main Outcome Measures: Discounted
incremental costs per life years saved (LYS). Results: Lifetime
screening is expensive (151,434 dollars per LYS) if women have treatment and
survival comparable to clinical trials (idealized); stopping at age 79 costs
82,063 dollars per LYS. This latter result corresponds to costs associated with
an LE of 9.5 years at age 79, a value expected for 75% of 79-year-olds, about
50% of 80-year-olds, and 25% of 85-year-olds. Using actual treatment and survival
patterns, screening benefits are greater, and lifetime screening of all women
might be considered (114,905 dollars per LYS), especially for women in the top
25% of LE for their age (50,643 dollars per LYS, life expectancy of approximately
7 years at age 90). Conclusions: If all women receive idealized
treatment, the benefits of mammography beyond age 79 are too low relative to
their costs to justify continued screening. However, if treatment is not ideal,
extending screening beyond age 79 could be considered, especially for women in
the top 25% of life expectancy for their age.
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Rosenberg J, Chia YL, Plevritis S. The effect of age, race, tumor size, tumor grade, and disease stage on invasive ductal breast cancer survival in the U.S. SEER database. Breast Cancer Res Treat Jan 2005;89(1):47-54.
Purpose: To examine the effect of patient and tumor characteristics on breast cancer survival as recorded in the U.S. National Cancer Institute's Surveillance, Epidemiology, and End Results (SEER) database from 1973 to 1998. Methods: A sample of 72,367 female cases from 1973 to 1998 aged 21-90 years with invasive ductal breast cancer were examined with Cox proportional hazards regression to determine the effect of age at diagnosis, race, tumor size, tumor grade, disease stage, and year of diagnosis on disease-specific survival. Results: Larger tumor size and higher tumor grade were found to have large negative effects on survival. Blacks had a 47 % greater risk of death than whites. Year of diagnosis had a positive effect, with a 15 % reduction in risk for each decade in the time period under study. The effects of patient age and disease stage violated the proportional hazards assumption, with distant disease having much poorer short-term survival than one would expect from a proportional hazards model, and younger age groups matching or even falling below the survival rate of the oldest group over time. Conclusion: Tumor size, grade, race, and year of diagnosis all have significant constant effects on disease-specific survival in breast cancer, while the effects of age at diagnosis and disease stage have significant effects that vary over time.
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Shen Y, Yang Y, Inoue LY, Munsell MF, Miller AB, Berry DA. Role of detection method in predicting breast cancer survival: analysis of randomized screening trials. J Natl Cancer Inst 17 Aug 2005;97(16):1195-203.
Background: Screening mammography detects breast cancers earlier than those detected symptomatically, and so mammographically detected breast cancers tend to have better prognoses. The so-called stage shift that results from screen detection is subject to lead-time and length biases, and so earlier detection may not translate into longer survival. We used data from three large breast cancer screening trials--Health Insurance Plan (HIP) of New York and two Canadian National Breast Cancer Screening Studies (CNBSS)--to investigate survival benefits of breast cancer screening beyond stage shift. We also address whether method of detection is an independent prognostic factor in breast cancer. Methods: The HIP trial randomly assigned approximately 62,000 women to screening and control groups. The two CNBSS trial cohorts CNBSS-1 and CNBSS-2 included a total of 44,970 women in the screening group and 44,961 in the control group. After adjusting for stage and other tumor characteristics in a Cox proportional hazards model, survival distributions were compared by method of breast cancer detection with both univariate and multivariable analyses. All P values are two-sided. Results: Breast cancers detected by screening mammography had a shift in stage distribution to earlier stages (for HIP, P < .001; for CNBSS-1, P = .03; and for CNBSS-2, P < .001). After adjusting for tumor size, lymph node status, and disease stage in a Cox proportional hazards model, method of detection was a statistically significant independent predictor of disease-specific survival. Patients with interval cancers had a 53% (95% confidence interval [CI] = 17% to 100%) greater hazard of death from breast cancer than patients with screen-detected cancers, and patients with cancer in the control groups had a 36% (95% CI = 10% to 68%) greater hazard of death than patients with screen-detected cancer. Conclusion: There was an apparent survival benefit beyond stage shift for patients with screen-detected breast cancers compared with patients with breast cancers detected otherwise. Method of detection appears to be an important prognostic factor, even after adjusting for known tumor characteristics. This finding suggests that clinical trialists should routinely collect information about method of detection.
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Andersen LD, Remington PL, Trentham-Dietz A, Robert S. Community trends in the early detection of breast cancer in Wisconsin, 1980-1998. Am J Prev Med Jan 2004;26(1):51-5.
Background: Early detection of breast cancer is an important public health goal. Rates of early detection have increased over the past several decades, contributing to recent declines in mortality. Despite these overall trends, however, some populations have experienced less progress than others. Methods: The rates of early detection, measured as the percentage of breast cancers diagnosed as breast carcinoma in situ, were calculated using data from Wisconsin's population-based tumor registry from 1980 to 1998. Trends in breast cancer (percent diagnosed in situ) were examined over time by socioeconomic characteristics of ZIP code of residence, using census data. Results: The percentage of breast cancer cases that were breast carcinoma in situ was more than five times greater in the later period (1994-1998) (13.9%), compared with the early period (1980-1984) (2.6%). In the middle period (1987-1991), breast cancer was diagnosed as breast carcinoma in situ about one-third less frequently among women in areas with the lowest urbanization, median family income, and percent educated beyond high school, compared with communities with the highest levels of these variables. Recently disparities in early detection rates by community income and education indicators declined slightly, whereas disparities in percent of breast carcinoma in situ by urbanization did not. Conclusions: Communities with lower levels of income, education, and urbanization lagged in the early detection of breast cancer during the 1980s and, despite some progress during the 1990s, continue to be underserved. Women in these communities should be targeted for interventions to improve the early detection of breast cancer.
Boer R, Plevritis S, Clarke L. Diversity
of model approaches for breast cancer screening: a review of model
assumptions by the Cancer Intervention and Surveillance Network
(CISNET) Breast Cancer Groups. Stat Methods Med Res 2004
Dec;13(6):525-38.
Abstract: The National Cancer Institute-sponsored Cancer
Intervention and Surveillance Network program on breast cancer is
composed of seven research groups working largely independently
to model the impact of screening and adjuvant therapy on breast
cancer mortality trends in the US from 1975 to 2000. Each of the
groups has chosen a different modeling methodology without purposeful
attempt to be in contrast with each other. The seven groups have
met biannually since November 2000 to discuss their methodology
and results. This article investigates the differences in methodology.
To facilitate this comparison, each of the groups submitted a description
of their model into a uniformly structured web based 'model profiler'.
Six of the seven models simulate a preclinical natural history that
cannot be observed directly with parameters estimated from published
evidence concerning screening and therapy effects. The remaining
model regards published evidence on intervention effects as prior
information and updates that with information from the US population
in a Bayesian type analysis. In general, the differences between
the models appear to be small, particularly among the models driven
by natural history assumptions. However, we demonstrate that such
apparently small differences can have a large impact on surveillance
of population trends. We describe a systematic approach to evaluating
differences in model assumptions and results, as well as differences
in modeling culture underlying the differences in model structure
and parameters.
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Chia L, Salzman P, Plevritis SK, Glynn PW.
Simulation-based parameter estimation for complex models: a breast
cancer natural history modeling illustration. Stat Methods Med
Res 2004 Dec;13(6):507-24.
Abstract: Simulation-based parameter estimation offers a
powerful means of estimating parameters in complex stochastic models.
We illustrate the application of these ideas in the setting of a
natural history model for breast cancer. Our model assumes that
the tumor growth process follows a geometric Brownian motion; the
parameters are estimated from the SEER registry. Our discussion
focuses on the use of simulation for computing the maximum likelihood
estimator for this class of models. The analysis shows that simulation
provides a straightforward means of computing such estimators for
models of substantial complexity.
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Hanin LG, Yakovlev AY. Multivariate distributions
of clinical covariates at the time of cancer detection. Stat
Methods Med Res 2004 Dec;13(6):457-89.
Abstract: Many screening trials conducted in the past have generated a wealth of interesting data. These data
represent an invaluable source of information for furthering our knowledge about the natural history of the
disease. The traditional approach to modeling cancer screening tends to describe the process of tumor
development in only one dimension, that is, the time natural history. A broader methodological idea is
to construct a stochastic model of cancer development and detection that yields the multivariate
distribution of observable variables at the time of diagnosis. By focusing on such multivariate observations,
rather than just on the age of patients at diagnosis, this idea seeks to invoke an additional source of
information (available only at the time of detection) in order to improve an estimation of unobservable
quantitative parameters of cancer latency. In this article, we discuss modeling techniques that make the
above-mentioned problems approachable. A special focus is placed on analytical tools for deriving joint
distributions of clinical covariates at the time of cancer detection under an arbitrary screening protocol.
In addition, some future research avenues and public health implications of the proposed approach are
discussed.
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Hu P, Zelen M. Planning of randomized early detection trials. Stat
Methods Med Res 2004;13:491-506.
Abstract: Consider a randomized clinical trial to evaluate the benefit of screening an asymptomatic population.
Suppose that the subjects are randomized into a usual care and a study group. The study group receives one
or more periodic early detection examinations aimed at diagnosing disease early, when there are no signs or
symptoms. Early detection clinical trials differ from therapeutic trials in that power is affected by: (i) the
number of exams, (ii) the time between exams and (iii) the ages at which exams will be given. These design
options do not exist in therapeutic trials. Furthermore; long-term follow-up may result in a reduction of
power. In general, power increases with number of examinations, and the optimal follow-up time
is dependent on the spacing between examinations. Clinical trials in which the usual care group receives
benefit are also discussed. Two designs are discussed, for example the 'up-front design' in which all subjects
receive an initial exam and then are randomized to the usual care and study groups and the 'close-out
design' in which the usual care group receives an exam which is timed to be given at the same time as the
last exam in the study group. Both families of designs significantly reduce the power. Power calculations are
made for two clinical trials, which actually used these two designs.
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Lee S, Huang H, Zelen M. Early detection of disease and the scheduling
of examinations. Stat Methods Med Res 2004;13:443-56.
Abstract: Special examinations exist for many chronic diseases, which can diagnose the disease while it is asymptomatic,
with no signs or symptoms. The earlier detection of disease may lead to more cures or longer
survival. This possibility has led to public health programs which recommend populations to have periodic
screening examinations for detecting specific chronic diseases, for example, cancer, diabetes, cardiovascular
disease and so on. Such examination schedules when embedded in a public health program are invariably
costly and are ordinarily not chosen on the basis of possible trade-offs in costs and benefits for different
screening schedules. The possible candidate number of examination schedules is so large that it is not
feasible to carry out clinical trials to compare different schedules. Instead, this problem can be investigated
by developing a theoretical model which can predict the eventual disease specific mortality for different
examination schedules. We have developed such a model. It is a stochastic model which assumes that i) the
natural history of the disease is progressive and ii) any benefit from earlier diagnosis is due to a change in
the distribution of disease stages at diagnosis (stage shift). The model is general and can be applied to any
chronic disease which satisfies our two basic assumptions. We discuss the basic ideas of schedule sensitivity
and lifetime schedule Q1 sensitivity and its relation to the reduction in disease specific mortality. Our theory is
illustrated by applications to screening breast cancer. The investigation of schedules compares not only
examination schedules with equal intervals between examinations but also staggered schedules using the
threshold method. (Examinations are carried out when an individual’s risk status reaches a preassigned
threshold value.)
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Mandelblatt J, Schechter CB, Yabroff
KR, Lawrence W, Dignam J, Muennig P. Benefits and costs of interventions
to improve breast cancer outcomes in African American women. J
Clin Oncol 2004 Jul 1;22(13):2554-66.
Context: Historically, African American women have experienced
higher breast cancer mortality than White women despite lower incidence. Objective: To
evaluate whether costs of increasing rates of screening or application of intensive
treatment will be off set by survival benefits for African American women. Design
and Population:
We use a stochastic simulation model of the natural history of breast
cancer to evaluate the incremental societal costs and benefits of
status quo versus targeted biennial screening or treatment improvements
among African Americans 40 years and over.
Main Outcome Measures: Numbers of mammograms, stage, all-cause mortality,
and discounted costs per life year saved (LYS). Results:
At the current screening rate of 76%, there is little incremental
benefit associated with further increasing screening and the costs
are high - $124,053 and $124,217 per LYS for lay health worker and
patient reminder interventions, respectively, compared to the status
quo. Using reminders would cost $51,537 per LYS if targeted to virtually
un-screened women or $78,130 per LYS if targeted to women with a
two-fold increase in baseline risk. If all patients received the
most intensive treatment recommended, costs increase but deaths
decrease, for a cost of $52,678 per LYS. Investments of up to $6,000
per breast cancer patient could be used to enhance treatment and
still yield cost-effectiveness ratios of less than $75,000 per LYS.
Conclusions: Except in pockets of un-screened or high-risk
women, further investments in interventions to increase screening
are unlikely to be an efficient use of resources. Ensuring that
African American women receive intensive treatment appears to be
the most cost effective approach to decreasing the disproportionate
mortality experienced by this population.
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Lee SJ, Zelen M. Modeling the early detection
of breast cancer. Ann Oncol 2003;14:1199-1202.
Abstract: A mathematical model was developed to predict
the outcome of early detection clinical trials or programs targeted
at evaluating mortality benefit from earlier diagnosis of breast
cancer. The model was applied to eight randomized breast cancer
trials, which were carried out to evaluate the benefits of mammography,
physical examination or their combination. The model assumes that
breast cancer is a progressive disease and any mortality benefit
from earlier diagnosis is generated from a favorable shift in the
stage at diagnosis relative to usual care. The model predicted the
reduction in mortality for seven of the eight trials within the
reported confidence intervals. Input data required by the models
are: stage shift distribution, examination schedules, population
age distribution, follow up time, and survival conditional on stage
at diagnosis. Survival distributions were obtained from the 1973-82
SEER database whereas the remaining data was obtained for each of
the trials. Information on sensitivity and stage was ordinarily
available during the early phase of the trials. The theoretical
model has the promise of being able to predict the long-term outcome
of early detection trials or programs during the initial examination
phase. The theoretical model is general and may be applied to other
chronic diseases, which satisfy the basic assumptions.
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Mandelblatt J, Saha S, Teutsch S.
The cost-effectiveness of screening mammography beyond age 65 years:
a systematic review for the U.S. Preventive Services Task Force.
Ann Intern Med 2003 Nov 18;139(10):835-42.
Context: Women older than 65 to 69 have been under-represented
in mammography screening trials. There is also a paucity of data
on breast cancer biology in this age group, and competing causes
of mortality may offset any gains from screening. Objective:
To review the evidence about the costs and benefits of screening
after age 65. Methods: We used Medline and the National Health
Service Economic Evaluation Database to conduct a search of published
breast cancer cost-effectiveness research published between January
1989 and March 2002. We included research conducted from a societal
or government perspective that included data on extending screening
after age 65. We excluded reviews, duplicate publications, and analyses
of other screening technologies. Results: We identified 115
studies; 10 met our inclusion criteria. Only one study modeled age-dependent
assumptions of disease biology. None of the studies fully captured
the potential harms of screening, including anxiety associated with
positive results, over diagnosis, earlier knowledge of cancer, and
living longer with the consequences of treatment. Models differed
in the specific strategies compared and analytic approaches. All
suggested that extending biennial screening to age 75 or 80 extends
life at a reasonable cost, with costs per year of life gained ranging
from about $34,000 to $88,000 in year 2002 dollars, compared to
stopping at about age 65. Two studies suggested that was more cost-effective
to target women with few comorbidities than those with greater competing
risks of non-breast cancer mortality. Conclusions: Current
estimates suggest that biennial breast cancer screening continues
to save lives at reasonable costs for older women without significant
comorbidity. More data is needed on the biology of disease in older
women and preferences for potential benefits and harms.
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Polsky D, Mandelblatt JS, Weeks JC, Venditti L, Hwang YT, Glick HA, Hadley J, Schulman KA. Economic evaluation of breast cancer treatment: considering the value of patient choice. J Clin Oncol 15 Mar 2003;21(6):1139-46.
Purpose: To use 5 years of primary data to compare the incremental cost-effectiveness of breast conservation and radiation versus mastectomy with the restriction of choice to a single therapy versus providing a choice of either therapy. Patients and Methods: We evaluated a random retrospective cohort of 2,517 Medicare beneficiaries treated for newly diagnosed stage I or II breast cancer from 1992 through 1994. The outcome measures were quality-adjusted life-years (QALYs) and 5-year medical costs. Risk and propensity score adjustments were used in the analysis. Results: A breast conservation and radiation regimen has significantly higher costs than mastectomy in the first year after surgery; the adjusted 5-year costs are $14,054 (95% confidence interval, $9,791 to $18,312) greater than those of mastectomy. The adjusted incremental cost-effectiveness ratio comparing breast conservation and radiation to mastectomy was $219,594 per QALY for the comparison of the two strategies. If the possibility of patient choice from maintaining the availability of multiple treatments versus restricting choice to mastectomy alone provides a quality-of-life gain of 0.031 QALYs, then the cost-effectiveness ratio of this choice option is $80,440 per QALY. Conclusion: The current system of providing a choice between mastectomy and breast conservation surgery is economically attractive when the economic analysis includes the benefit of patient choice of treatment.
Tan SYGL, Oortmarssen GJ, van Piersma N. Estimating
parameters of a microsimulation model for breast cancer screening
using the score function method. Ann Oper Res 2003;119:43-61.
Abstract: In developing decision-making models for the evaluation
of medical procedures, the model parameters can be estimated by
fitting the model to data observed in (randomized) trials. For complex
models that are implemented by discrete event simulation (microsimulation)
of individual life histories, the Score Function (SF) method can
potentially be an appropriate approach for such estimation exercises.
We test this approach for a microsimulation model for breast cancer
screening that is fitted to data from the HIP randomized trial for
early detection of breast cancer. Comparison of the parameter values
estimated using the SF method and the analytical solution shows
that method performs well on this simple model. The precision of
the estimated parameter values depends (as expected) on the size
of the sample of simulated life histories, and on the number of
parameters estimated. Using analytical representations for parts
of the microsimulation model can increase the precision of the estimated
parameter values. Compared to the Nelder and Mead Simplex method
which is often used in stochastic simulation because of its ease
of implementation, the SF method is clearly more efficient (ratio
computer time: precision of estimates). The additional analytical
investment needed to implement the SF method in an (existing) simulation
model may well be worth the effort.
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Yabroff KR, Washington KS, Leader A, Neilson E, Mandelblatt J. Is the promise of cancer-screening programs being compromised? Quality of follow-up care after abnormal screening results. Med Care Res Rev Sep 2003;60(3):294-331.
Abstract: Cancer screening has increased dramatically in the United States, yet in some populations, particularly racial minorities or the poor, advanced disease at diagnosis remains high. One potential explanation is that follow-up of abnormal tests is suboptimal, and the benefits of screening are not being realized. The authors used a conceptual model of access to care and integrated constructs from models of provider and patient health behaviors to review published literature on follow-up care. Most studies reported that fewer than 75 percent of patients received some follow-up care, indicating that the promise of screening may be compromised. They identified pervasive barriers to follow-up at the provider, patient, and health care system levels. Interventions that address these barriers appear to be effective. Improvement of data infrastructure and reporting will be important objectives for policy makers, and further use of conceptual models by researchers may improve intervention development and, ultimately, cancer control.
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Lee SJ, Zelen M. Statistical models for screening:
planning public health programs. In: Beam C, editor. Biostatistical
applications in cancer research. Boston: Kluwer Academic Publishers; 2002. p.
19-36.
Abstract: The Threshold Method and Schedule Sensitivity
Method proposed by Lee and Zelen (JASA, 1998) were used to plan
breast cancer screening programs. The Threshold Method constructs
examination schedules so that the probability of being in the pre-clinical
state (earlier stage of cancer) is bounded by a pre-selected value
during the surveillance time. The Schedule Sensitivity Method is
based on the ratio of the expected number of cases diagnosed on
scheduled examinations to the expected total number of cases. The
Threshold Method offers a way to choose the spacings of exams according
to the risk of having disease. The Schedule Sensitivity Method can
be used to compare the ''efficiency'' of different screening programs.
Both methods were utilized to plan and evaluate public health programs
for the early detection of cancer.
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Mariotto A, Feuer EJ, Harlan LC, Wun
LM, Johnson KA, Abrams J. Trends in use of adjuvant multi-agent
chemotherapy and tamoxifen for breast cancer in the United States:
1975-1999. J Natl Cancer Inst 2002 Nov 6;94(21):1626-34.
Background: Estimate the complete history of the dissemination
of adjuvant multi-agent chemotherapy, tamoxifen and the combined
use of both for early stage breast cancer patients from 1975 to
1997. Data and methods: We have used data from 8 registries
of the Surveillance, Epidemiology and End-Results (SEER) of patients
diagnosed with stages I, II node negative (II-), II node positive
(II+) and IIIA from 1975 to 1997 (192,518 patients). The SEER information
on the use of adjuvant systemic therapy is incomplete. Data from
a series of population-based patterns of care (POC) studies that
randomly selected cases from the SEER registries was used in order
to verify with the treatment physicians information on treatment
and to correct the SEER bias. The POC data included 7,117 breast
cancer women diagnosed between 1987-1991 and 1995. Modeling and
information on the start point of dissemination was also used.
Results: The models revealed patterns of care compatible with
results from clinical trials. The dissemination of multi-agent chemotherapy
was higher among pre-menopausal women while the dissemination of
tamoxifen was higher among post-menopausal. The dissemination of
multi-agent chemotherapy for post-menopausal women diagnosed in
stages II+/IIIA showed a distinct pattern. It reached a peak in
1983 and decreased from 1983 to 1987, indicating a clear substitution
of multi-agent chemotherapy by tamoxifen. After 1986, the combined
use of multi-agent chemotherapy and tamoxifen increased for almost
all stages and ages. Conclusions: This work showed how modeling
can be used to piece together disparate data sources, some of which
having inherent biases, to estimate the curves that represent the
dissemination of multi-agent chemotherapy, tamoxifen and the combined
use of both for breast cancer patients from 1975 to 1997. These
dissemination curves are important in understanding the relationship
between medical research findings and translation of these results
into general practice as well as measuring the impact of treatment
advances on population mortality.
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Zelen M, Lee SJ. Models and the Early Detection
of Disease: Methodological Consideration. In: Beam C, editor. Biostatistical
applications in cancer research. Boston: Kluwer Academic Publishers;
2002.
Abstract: This paper reviews the role of models in the early
detection of disease. Among the topics discussed are: natural histories
(progressive and non-progressive disease models, length and lead
time biases, stable and non-stable disease models, theory of length
biased sampling and it consequences, planning early detection clinical
trials, parametric procedures for estimating sensitivity and the
mean sojourn time in the pre-clinical state. Illustrations are drawn
from breast cancer applications.
[top] [breast
working group] [close]
Bartoszynski R, Edler L, Hanin L,
Kopp-Schneider A, Pavlova L, Tsodikov A, Zorin A, Yakovlev AY. Modeling
cancer detection: tumor size as a source of information on unobservable
stages of carcinogenesis. Math Biosci 2001 Jun;171(2):113-42.
Abstract: This paper is concerned with modern approaches
to mechanistic modeling of the process of cancer detection. Measurements
of tumor size at diagnosis represent a valuable source of information
to enrich statistical inference on the processes underlying tumor
latency. One possible way of utilizing this information is to model
cancer detection as a quantal response variable. In doing so, one
relates the chance of detecting a tumor to its current size. We
present various theoretical results emerging from this approach
and illustrate their usefulness with numerical examples and analyses
of epidemiological data. An alternative approach based on a threshold
type mechanism of tumor detection is briefly described.
[top] [breast
working group] [close]
Hanin LG, Tsodikov AD, Yakovlev AY. Optimal
regimens of cancer screening. Math Comput Model 2001;33:1419-30.
Abstract: The goal of the present work is to study methodological,
mathematical, and computational aspects of optimization procedure
for screening regimens and discuss its biomedical significance with
application to early detection of breast cancer. The problem of
optimal screening design is set up as a search for optimal schedules
of medical exams subject to certain constraints on their number
and timing. The paper deals with a screening efficiency functional
defined as the expected difference between tumor sizes at detection
in the absence and presence of screening. It is assumed that in
the absence of screening a tumor can be detected spontaneously,
i.e. by symptomatic surfacing of the disease typically followed
by appropriate medical exams, or asymptomatically as a result of
unrelated medical tests, and that the same mechanism is in place
also in the presence of screening and competes with the latter.
Thus, the efficiency functional under study characterizes the net
effect of screening and is completely determined by tumor natural
history from the birth of a patient to the time of the last exam
in the screening schedule. The functional coincides with the Kantorovich
distance between tumor sizes at detection with and without screening
which leads to a convenient computational formula. Optimal schedules
are obtained by a numerical algorithm
[top] [breast
working group] [close]
Saha S, Hoerger TJ, Pignone MP, Teutsch SM,
Helfand M, Mandelblatt JS; Cost Work Group, Third US Preventive
Services Task Force. The art and science of incorporating cost effectiveness
into evidence-based recommendations for clinical preventive services.
Am J Prev Med 2001 Apr;20(3 Suppl):36-43.
Abstract: As medical technology continues to burgeon and
the cost of using all effective clinical services exceeds available
resources, decisions regarding the use of services may increasingly
rely on assessments of the cost-effectiveness of medical technologies.
Cost-effectiveness is particularly relevant when shaping policies
regarding the implementation of preventive services, since these
policies typically represent major investments in the future health
of large populations, rather than smaller and more targeted investments
in the management of acutely or chronically ill individuals. As
such, decisions regarding the implementation of preventive services
frequently involve implicit, if not explicit, reliance on cost-effectiveness
data. Realizing this, the Third United States Preventive Services
Task Force (USPSTF) has initiated a process for reviewing cost-effectiveness
analyses with the intent of including relevant information from
them in the next edition of the Guide to Clinical Preventive Services.
In this paper, we provide an overview and examples of some potential
roles for using cost-effectiveness analyses to complement preventive
services recommendations, discuss the limitations of cost-effectiveness
data in the context of shaping evidence-based preventive health
care policies, outline the USPSTF approach to using cost-effectiveness
analyses, and discuss the methods the USPSTF is developing to assess
the quality and results of cost-effectiveness studies. While this
paper focuses on clinical preventive services (i.e., screening,
counseling, immunizations, and chemoprophylaxis), the framework
we have developed should be broadly portable to other health care
services.
[top] [breast
working group] [close]
Shen Y, Zelen M. Screening sensitivity and
sojourn time from breast cancer early detection clinical trials:
mammograms and physical examinations. J Clin Oncol 2001 Aug
1;19(15):3490-9.
Purpose: To estimate sensitivities of breast cancer screening
modalities and preclinical duration of the disease from eight breast
cancer screening clinical trials. Materials and Methods:
Screening programs invariably lead to diagnosis of disease before
signs or symptoms are present. Two key quantities of screening programs
are the sensitivity of the disease detection modality, and the mean
sojourn time. The knowledge of these quantities is related to potential
benefit. The observed screening histories in a periodically screened
cohort make it possible to estimate these quantities of interest.
We applied recently developed statistical methods to data from eight
randomized breast cancer screening trials to estimate the sensitivities
of early detection modalities and mean sojourn time (MST). Moreover,
when a screening trial involves two screening modalities, our methods
enable the estimation of the individual sensitivity of each screening
modality. Results: We analyzed breast cancer data from the
HIP, Edinburgh, Swedish two-county, Malmö, Stockholm, Gothenburgh
and Canadian (two) screening trials. Among these studies, we have
relatively complete data from the HIP, Edinburgh and the two Canadian
studies. The screening sensitivity for mammography, for physical
exam, and MST are: the HIP: 0.39 (sd=.11), 0.47 (.14) and 2.5 (1.2)
years; and Edinburgh: 0.63 (.13), 0.40 (.08) and 4.3 (.37) years;
Canadian (age 40-49 at entry): 0.61 (.13), 0.59 (.12) and 1.9 (1.2)
years; Canadian (age 50-59 at entry): 0.66 (.10), 0.39 (.06) and
3.1 (.94) years. Conclusion: The public debate on early breast
cancer detection is mainly centered on mammograms. However, the
current study indicates that a physical exam is of comparable importance.
Public access to complete trial data will allow better understanding
of screening benefits. Cautious interpretation of trial differences
is required due to various experimental designs and the age-dependency
of screening sensitivity and MST.
[top] [breast
working group] [close]
Yabroff KR, O'Malley A, Mangan P, Mandelblatt J. Inreach and outreach interventions to improve mammography use. J Am Med Womens Assoc 2001;56(4):166-73, 188.
Objective: to assess the effectiveness of patient-targeted interventions in increasing mammography use when performed outside (outreach) or inside the primary care medical setting (inreach). Methods: We performed a meta-analysis of controlled interventions to increase mammography use in patients in the United States published between 1980 and February 2001. Interventions were classified by setting (inreach or outreach), mechanism of action (behavioral, cognitive, sociologic, or a combination), type of control group (active or usual care), number of strategies, and mode of delivery (static or interactive). Summary estimates were calculated with DerSimonian and Laird random effects models for each group of interventions. Results: We included 66 studies with 98 separate interventions. Inreach and outreach interventions were equally effective in increasing mammography use. Compared to active controls, behavioral interventions with multiple strategies increased mammography use by 14.0% (95% CI, 8.7-19.2) in inreach and 18.7% (95% CI, 4.9-32.4) in outreach settings. Theory-based educational strategies delivered interactively increased mammography use by 10.7% (95% CI, 6.8-14.7) and 19.9% (95% CI, 10.6-29.1) in inreach and outreach settings, respectively. Interventions that combined behavioral and theory-based educational strategies with usual care controls increased mammography use by 14.0% (95% CI, 7.9-20.2) in inreach and 27.3% (95% CI, 14.7-40.0) in outreach settings. Finally, sociologic interventions increased mammography use by 10.7% (95% CI, 3.4-18.0) and 9.1% (95% CI, 1.7-13.3) in inreach and outreach settings, respectively. Conclusions: Inreach and outreach interventions to increase mammography use were similarly effective within intervention categories based on mechanism of action, mode of delivery, and type of control group. Ultimate decisions about intervention strategies will depend on the characteristics of the target population, practical considerations, and relative cost-effectiveness.
[top] [breast
working group] [close]
Colorectal Working Group
Jeon J, Meza R, Moolgavkar SH, Luebeck EG. Evaluation of screening strategies for pre-malignant lesions using a biomathematical approach. Math Biosci 2008:213;56-70.
We derive mathematical expressions for the size distribution of screen-detectable pre-malignant lesions, both conditional and unconditional
on no prior detection of cancer in the tissue of interest, based on a general multistage clonal expansion model of carcinogenesis. We apply these expressions to simulate the natural history of colorectal cancer and to evaluate the effect of a screen for adenomatous
polyps and concomitant intervention on cancer risk. Our approach allows the efficient simulation of multiple screens and interventions
and determination of the optimal timing of the screens. We further demonstrate the utility of our approach by computing the benefits of
up to two colonoscopies on the lifetime risk of colorectal cancer.
[top] [colorectal
working group] [close]
Miglioretti DL, Brown ER. A marginalized diffusion model for estimating age at first lower endoscopy use from current-status data. Journal of the Royal Statistical Society, Series C (Applied Statistics) 2008;57(1):61-74.
We propose an approach for estimating the age at first lower endoscopy examination
from current status data that were collected via two series of cross-sectional surveys. To
model the national probability of ever having a lower endoscopy examination, we incorporate
birth cohort effects into a mixed influence diffusion model.We link a state-specific model to the
national level diffusion model by using a marginalized modelling approach. In future research,
results from our model will be used as microsimulation model inputs to estimate the contribution
of endoscopy examinations to observed changes in colorectal cancer incidence and mortality.
[top] [colorectal
working group] [close]
Rutter CM, Miglioretti DM, Yu, O. A hierarchical non-homogeneous Poisson model for meta-analysis of adenoma counts. Statistics in Medicine, 2007; 26:98-109.
Abstract: We use a hierarchical model for a meta-analysis that combines information from autopsy studies of adenoma prevalence and counts. The studies we included reported findings using a variety of adenoma prevalence groupings and age categories. We use a non-homogeneous Poisson model for multinomial bin probabilities. The Poisson model allows risk to depend on age and sex, and incorporates extra-Poisson variability. We evaluate model fit using the posterior predicted distribution of adenoma prevalence reported by the studies included in our analyses and validate our model using adenoma prevalence reported by more recent colonoscopy studies. For 1990, the estimated adenoma prevalence among Americans at age 60 is 40.3 per cent for men compared to 29.2 per cent for women.
[top] [colorectal
working group] [close]
Vogelaar I, van Ballegooijen M, Schrag D, Boer R, Winawer SJ, Habbema JD, Zauber AG. How much can current interventions reduce colorectal cancer mortality in the U.S.: mortality projections for scenarios of risk-factor modification, screening, and treatment. Cancer 2006 Aug 24;107(7):1624-33.
Background: Although colorectal cancer (CRC) is the second leading cause of cancer death in the U.S., available interventions to reduce CRC mortality are disseminated only partially throughout the population. This study assessed the potential reduction in CRC mortality that may be achieved through further dissemination of current interventions for risk-factor modification, screening, and treatment. Methods: The MISCAN-COLON microsimulation model was used to simulate the 2000 U.S. population with respect to CRC risk-factor prevalence, screening use, and treatment use. The model was used to project age-standardized CRC mortality from 2000 to 2020 for 3 intervention scenarios. Results: Without changes in risk-factor prevalence, screening use, and treatment use after 2000, CRC mortality would decrease by 17% by the Year 2020. If the 1995 to 2000 trends continue, then the projected reduction in mortality would be 36%. However, if trends in the prevalence of risk factors could be improved above continued trends, if screening use increased to 70% of the target population, and if the use of chemotherapy increased among all age groups, then a 49% reduction would be possible. Screening drove most (23%) of the projected mortality reduction with these optimistic trends; however, decreasing risk factors (16%) and increasing use of chemotherapy (10%) also contributed substantially. The contribution of risk factors may have been overestimated, because effect estimates could not be obtained from randomized controlled trials. Conclusions: Currently available interventions for risk-factor modification, screening, and treatment have the potential to reduce CRC mortality by almost 50% by the Year 2020. However, without action now to further increase the uptake of current effective interventions, the reduction in CRC mortality may be only 17%.
[top] [colorectal
working group] [close]
Winawer SJ, Zauber AG, Fletcher RH, Stillman JS, O'Brien MJ, Levin B, Smith RA, Lieberman DA, Burt RW, Levin TR, Bond JH, Brooks D, Byers T, Hyman N, Kirk L, Thorson A, Simmang C, Johnson D, Rex DK, US Multi-Society Task Force on Colorectal Cancer, American Cancer Society. Guidelines for colonoscopy surveillance after polypectomy: a consensus update by the US Multi-Society Task Force on Colorectal Cancer and the American Cancer Society. Gastroenterology May 2006;130(6):1872-85.
Abstract: Adenomatous polyps are the most common neoplastic findings discovered in people who undergo colorectal screening or who have a diagnostic work-up for symptoms. It was common practice in the 1970s for these patients to have annual follow-up surveillance examinations to detect additional new adenomas and missed synchronous adenomas. As a result of the National Polyp Study report in 1993, which showed clearly in a randomized design that the first postpolypectomy examination could be deferred for 3 years, guidelines published by a gastrointestinal consortium in 1997 recommended that the first follow-up surveillance take place 3 years after polypectomy for most patients. In 2003 these guidelines were updated and colonoscopy was recommended as the only follow-up examination, stratification at baseline into low risk and higher risk for subsequent adenomas was suggested. The 1997 and 2003 guidelines dealt with both screening and surveillance. However, it has become increasingly clear that postpolypectomy surveillance is now a large part of endoscopic practice, draining resources from screening and diagnosis. In addition, surveys have shown that a large proportion of endoscopists are conducting surveillance examinations at shorter intervals than recommended in the guidelines. In the present report, a careful analytic approach was designed to address all evidence available in the literature to delineate predictors of advanced pathology, both cancer and advanced adenomas, so that patients can be stratified more definitely at their baseline colonoscopy into those at lower risk or increased risk for a subsequent advanced neoplasia. People at increased risk have either 3 or more adenomas, high-grade dysplasia, villous features, or an adenoma 1 cm or larger in size. It is recommended that they have a 3-year follow-up colonoscopy. People at lower risk who have 1 or 2 small (<1 cm) tubular adenomas with no high-grade dysplasia can have a follow-up evaluation in 5-10 years, whereas people with hyperplastic polyps only should have a 10-year follow-up evaluation, as for average-risk people. There have been recent studies that have reported a significant number of missed cancers by colonoscopy. However, high-quality baseline colonoscopy with excellent patient preparation and adequate withdrawal time should minimize this and reduce clinicians concerns. These guidelines were developed jointly by the US Multi-Society Task Force on Colorectal Cancer and the American Cancer Society to provide a broader consensus and thereby increase the use of the recommendations by endoscopists. The adoption of these guidelines nationally can have a dramatic impact on shifting available resources from intensive surveillance to screening. It has been shown that the first screening colonoscopy and polypectomy produces the greatest effects on reducing the incidence of colorectal cancer in patients with adenomatous polyps.
[top] [colorectal
working group] [close]
de Visser M, van Ballegooijen M, Bloemers SM, van Deventer SJ, Jansen JB, Jespersen J, Kluft C, Meijer GA, Stoker J, de Valk GA, Verweij MF, Vlems FA. Report on the Dutch consensus development meeting for implementation and further development of population screening for colorectal cancer based on FOBT. Cell Oncol 2005;27(1):17-29.
Abstract:A consensus development meeting was held to evaluate whether or not in the Netherlands all requirements were fulfilled for implementation of population screening with FOBT for colorectal cancer, or whether consensus was present that fulfilment by additional research or organisational actions could be obtained within 2-3 years. There was consensus that all classical Wilson and Jungner (1968) criteria, and six additional ones added more recently, had already been fulfilled or could be fulfilled within 2-3 years. Consequently, it was concluded that a national population screening for colorectal cancer should be implemented and carried out in the Netherlands in line with current national and European cancer screening programmes. A list of organisational actions to be taken was established. Research that is needed before the actual national launch of the screening within 2-3 years has been defined. Priorities have to be set for research and organisational actions for the coming 2-3 years for the implementation of population screening. In addition, research suggestions have been defined for the next 10-15 years for evaluation and/or improvement of implemented FOBT screening, and for future screening methodology. It was considered essential that infrastructure for future research would be embedded in the screening programme. A project group to arrange this should be formed.
[top] [colorectal
working group] [close]
Loeve F, Boer R, Zauber AG, van Balleooijen
M, van Oortmarssen GJ, Winawer SJ, Habbema JD. National Polyp Study
data: evidence for regression of adenomas. Int J Cancer 2004;111:633-9.
Abstract: The data of the National Polyp Study, a large
longitudinal study on surveillance of adenoma patients, is used
for testing assumptions on the adenoma-carcinoma sequence. The observed
adenoma and colorectal cancer incidence in the National Polyp Study
were compared with the simulated outcomes of the MISCAN-COLON model
of epidemiology and control of colorectal cancer for the U.S. population
based on expert opinion. Variants of this model were explored in
order to identify assumptions on the adenoma-carcinoma sequence
that are consistent with the study observations. The high observed
adenoma detection rates at surveillance and low observed colorectal
cancer incidence in the National Polyp Study could only be explained
by assuming a high incidence rate of adenomas accompanied by regression
of adenomas. The National Polyp Study data suggest that adenoma
prevalence results from a dynamic process of both formation as well
as regression of adenomas. This lowers the expectations for the
effects of colorectal cancer screening strategies that focus on
adenoma detection.
[top] [colorectal
working group] [close]
Loeve F, van Ballegooijen M, Boer R, Kuipers
EJ, Habbema JDF. Colorectal cancer risk in adenoma patients: a nation-wide
study. Int J Cancer 2004:111(1):147-41.
Abstract: Colorectal cancer incidence after adenoma removal
has been studied in selected populations of adenoma patients. Our
study estimates the trend in colorectal cancer incidence after adenoma
removal in actual clinical practice. From PALGA, a nationwide network
and registry of histo- and cytopathology in the Netherlands, we
extracted data of all patients diagnosed with colorectal adenomas
between 1 January 1988 and 1 October 1998. The data were used to
calculate population-based colorectal cancer incidence rates after
adenoma removal. A total of 78,473 adenoma patients were followed
for a mean of 4.5 years after the first adenoma removal. The colorectal
cancer incidence ratio compared with the general population matched
by age and gender was 38.4 (37.3-39.5) in the first year after adenoma
removal and 1.5 (95% confidence interval (CI): 1.4-1.6) after Year
1. The incidence ratio decreased from 2.8 (2.5-3.1) in Year 2 to
0.9 (0.6-1.2) in Years 9-11. This time trend is the opposite of
the upward time trend that was expected after adenoma removal. Adenoma
patients in the Netherlands are at increased risk for colorectal
cancer compared to the general population. The high cancer incidence
in Years 1-5 after polypectomy can be explained by a colonoscopic
sensitivity for cancer of approximately 90%.
[top] [colorectal
working group] [close]
Schrag D. The price tag on progress-chemotherapy
for colorectal cancer. New Eng J Med 2004; 351(4):317-9.
Abstract: From the 1960s until the mid-1990s, fluorouracil
was the primary chemotherapeutic agent available for the treatment
of colorectal cancer. During the past decade, the Food and Drug
Administration (FDA) has approved five new drugs for metastatic
colorectal cancer. Irinotecan (approved in 1996) and oxaliplatin
(2002) are cytotoxic agents that interfere with DNA replication,
and capecitabine (1998) is an oral formulation of fluorouracil.
This spring, the monoclonal antibodies bevacizumab and cetuximab,
targeting vascular endothelial growth factor and epithelial growth
factor receptor, respectively, were approved by the FDA for use
in conjunction with cytotoxic regimens.
[top] [colorectal
working group] [close]
Lung Working Group
Meza R, Hazelton WD, Colditz GA, Moolgavkar SH. Analysis of lung cancer incidence in the nurses' health and the health professionals' follow-up studies using a multistage carcinogenesis model. Cancer Causes Control Apr 2008;19(3):317-28.
Abstract: We analyzed lung cancer incidence among non-smokers, continuing smokers, and ex-smokers in the Nurses Health Study (NHS) and the Health Professionals Follow-Up Study (HPFS) using the two-stage clonal expansion (TSCE) model. Age-specific lung cancer incidence rates among non-smokers are identical in the two cohorts. Within the framework of the model, the main effect of cigarette smoke is on the promotion of partially altered cells on the pathway to cancer. Smoking-related promotion is somewhat higher among women, whereas smoking-related malignant conversion is somewhat lower. In both cohorts the relative risk for a given daily level of smoking is strongly modified by duration. Among smokers, the incidence in NHS relative to that in HPFS depends both on smoking intensity and duration. The age-adjusted risk is somewhat larger in NHS, but not significantly so. After smokers quit, the risk decreases over a period of many years and the temporal pattern of the decline is similar to that reported in other recent studies. Among ex-smokers, the incidence in NHS relative to that in HPFS depends both on previous levels of smoking and on time since quitting. The age-adjusted risk among ex-smokers is somewhat higher in NHS, possibly due to differences in the age-distribution between the two cohorts.
[top] [lung
working group] [close]
Levy DT, Ross
H, Powell L, Bauer J, Lee HR. The role of public policies
in reducing smoking prevalence in Arizona: results from
the Arizona tobacco policy simulation model. J Public
Health Manag Pract 2007 Jan-Feb;13(1):59-67.
Abstract: Arizona was one of the first
few states to implement a comprehensive tobacco control program.
The effect of that program is examined utilizing a computer-simulation
model (SimSmoke) that was developed for the purposes of evaluation,
planning and justifying policies. This approach assesses
the impact to date of tobacco control policies on smoking
prevalence and generates predictions about the effects of
tobacco control policies on past and future smoking prevalence
and associated future premature mortality. SimSmoke estimates
indicate that tobacco control policies reduced smoking rates
in Arizona by about 20% over the period 1993 to 2002. A previous
CDC study obtains similar effects, but does not net out the
effects of individual policies. SimSmoke attributes much
of the reduction, about 61%, to price increases and attributes
38% of the overall effect to media policies, leaving only
a small percent of the smoking reductions attributed to quitlines,
youth access policies and the weak clean air laws. Tobacco
control policies implemented as comprehensive strategies
have significantly affected smoking rates in Arizona, which
leads to large reductions in deaths attributable to smoking.
It will be important to maintain these efforts over time
to reduce or keep smoking prevalence down and to minimize
smoking attributable deaths.
[top] [lung
working group] [close]
Levy D, Mumford
E, Cummings M, Gilpin B, Giovino G, Hyland A, Sweanor D,
Warner K. The potential impact of a low-nitrosamine smokeless
tobacco product on cigarette smoking in the United States:
Estimates of a panel of experts. Addict Behav 2006
Jul;31(7):1190-200. Epub 2005 Oct 26.
Objective: To predict the impact
on tobacco use in the US of a "harm reduction" policy that
requires that the smokeless tobacco product meet low nitrosamine
standards, but could be marketed with a warning label consistent
with the evidence of relative health risks. Methods: Low
nitrosamine smokeless tobacco (LN-SLT) and cigarette use
are predicted by a panel of experts using a modified Delphi
approach. We specify a thought experiment to isolate the
changes that would occur after the new LN-SLT policy was
implemented. Results: The panel predicted that the new policy
would accelerate a decrease in smoking prevalence from 1.3
to 3.1 percentage points over 5 years compared to the current
SLT product policy, with greater effects on males than females.
Introduction of the new product was also predicted to result
in modest additional use of SLT overall, with the greatest
increases among males who initiated tobacco use under the
new policy. Conclusion: An overall consensus was reached
that the introduction of a new LN-SLT product under strict
regulations would increase SLT use, but reduce overall smoking
prevalence. This reduction would likely yield substantial
health benefits, but uncertainties surround the role of marketing
and other tobacco control policies.
[top] [lung
working group] [close]
Clements MS, Armstrong BK, Moolgavkar SH. Lung cancer rate predictions using
generalized additive models. Biostatistics 2005 Oct;6(4):576-89. Epub
2005 Apr 28.
Abstract: Predictions of lung cancer incidence and mortality are necessary
for planning public health programs and clinical services. It is proposed that
generalized additive models (GAMs) are practical for cancer rate prediction.
Smooth equivalents for classical age-period, age-cohort, and age-period-cohort
models are available using one-dimensional smoothing splines. We also propose
using two-dimensional smoothing splines for age and period. Variance estimation
can be based on the bootstrap. To assess predictive performance, we compared
the models with a Bayesian age-period-cohort model. Model comparison used cross-validation
and measures of predictive performance for recent predictions. The models were
applied to data from the World Health Organization Mortality Database for females
in five countries. Model choice between the age-period-cohort models and the
two-dimensional models was equivocal with respect to cross-validation, while
the two-dimensional GAMs had very good predictive performance. The Bayesian model
performed poorly due to imprecise predictions and the assumption of linearity
outside of observed data. In summary, the two-dimensional GAM performed well.
The GAMs make the important prediction that female lung cancer rates in these
countries will be stable or begin to decline in the future.
[top] [lung
working group] [close]
Gorlova O, Peng B, Yankelevitz D, Henschke C, Kimmel
M. Estimating the growth rates of primary lung tumours from samples with missing
measurements. Stat Med 2005 Apr 15;24(7):1117-34.
Abstract: .A method to estimate the population variability in tumour
growth rate using incomplete data was developed. We assume exponential growth
and lognormal distribution for the parameter of the growth curve. Estimates of
growth rate obtained based on the cases with two measurements, one of which is
obtained retrospectively, are biased towards lower growth rate. For the data
sets where two measurements are available for some tumours and only one measurement
for others (which means that no tumour was seen in retrospect for those cases),
several approaches were developed that can eliminate or substantially reduce
the bias. The relative error of the best estimates, as assessed by simulation,
rarely exceeds 20 per cent. We found that the results of application of our estimation
procedures to chest X-ray screening data agree well with the expectations.
[top] [lung working group]
[close]
Hazelton WD, Clements MS, Moolgavkar SH. Multistage carcinogenesis and lung
cancer mortality in three cohorts. Cancer Epidemiol Biomarkers Prev 2005
May;14(5):1171-81.
Abstract: Experimental evidence indicates that tobacco smoke
acts both as an initiator and a promoter in lung carcinogenesis. We used the
two-stage clonal expansion model incorporating the ideas of initiation,
promotion, and malignant conversion to analyze lung cancer mortality in
three large cohorts, the British Doctors' cohort and the two American
Cancer Society cohorts, to determine how smoking habits influence
age-specific lung cancer rates via these mechanisms. Likelihood ratio
tests indicate that smoking-related promotion is the dominant model
mechanism associated with lung cancer mortality in all cohorts.
Smoking-related initiation is less important than promotion but
interacts synergistically with it. Although no information on
ex-smokers is available in these data, the model with estimated
variables can be used to project risks among ex-smokers. These
projected risks are in good agreement with the risk among ex-smokers
derived from other studies. We present 10-year projected risks for
current and former smokers adjusted for competing causes of mortality.
The importance of smoking duration on lung cancer risk in these cohorts
is a direct consequence of promotion. Intervention and treatment
strategies should focus on promotion as the primary etiologic mechanism
in lung carcinogenesis.
[top] [lung working group] [close]
Levy DT, Nikolayev L, Mumford EA. Recent trends in smoking
and the role of public policies: results from the SimSmoke Tobacco Control
Policy Simulation Model. Addiction 2005;10(10):1526-37.
Objectives: After a period
of steady decline in smoking prevalence between 1976 and 1990, smoking rates
leveled off between 1990 and 1997, but began falling at a more rapid rate between
1997 and 2003. Trends in smoking prevalence between 1993 and 2003, and the role
of tobacco control policies in affecting those rates, are examined
using a computer simulation model. Methods: A computer
simulation model is used in which smoking rates evolve through initiation and
cessation, which are in turn influenced by tobacco control policies. The results
of the model are compared to measures of smoking prevalence from the National
Health Interview Survey (NHIS). We then consider the effect of tax/price, clean
air laws, media campaigns and youth access policies on predicted smoking rates
over the period 1993-2003. Results: Both the SimSmoke model
and data for recent years indicates that adult smoking prevalence changed little
between 1993 and 1997, and even increased among youth. Between 1997 and 2003,
smoking prevalence has been declining. Most age, gender and racial-ethnic
groups show patterns similar to that of the entire population, with
some important differences. When decomposed into policy changes,
the predominant trends were mostly explained by changes in price/taxes,
with some residual effect of clean air laws, media campaigns and
enforcement of youth access laws. Conclusions: Among public
tobacco control policies, price had the dominant effect on smoking prevalence
between 1993 and 2002, because most states did not implement other policies
to the degree necessary to affect much change. Through continued tax increases,
stronger clean air laws, extensive media campaigns and broader cessation
treatment programs, there is the potential to have much larger reductions
in smoking prevalence than seen between 1993 and 2003, but sustained
efforts will be required.
[top] [lung
working group] [close]
Levy DT, Nikolayev L, Mumford EA, Compton C. The Healthy People 2010 smoking prevalence and tobacco control objectives: results from the SimSmoke tobacco control policy simulation model (United States). Cancer Causes Control 2005 May;16(4):359-71.
Objectives: Healthy People 2010 (HP2010) set a goal
of reducing the adult smoking prevalence to 12% by 2010. Smoking prevalence rates
do not appear to be declining at or near the rate targeted in theHP2010 goals.
The purpose of this paper is to examine the attainability ofHP2010 smoking prevalence
objectives through the stricter tobacco control policies suggested in HP2010. Methods: Atested
dynamic simulation model of smoking trends, known as SimSmoke, is applied. Smoking
prevalence evolves over time through initiation and cessation, behaviors which
are in turned influenced by tobacco control policies. We consider the effect
of changes in taxes/prices, clean air laws, media campaigns, cessation programs
and youth access policies on projected smoking prevalence over the period 2003–2020,
focusing on the levels in 2010. Results: The SimSmoke
model projects that the aging of older cohorts and the impact of policies in
years prior to 2004 will yield a reduction in smoking rates to 18.4% by 2010,
which is substantially above the 2010 target of 12%.When policies similar to
the HP2010 tobacco control policy objectives are implemented, SimSmoke projects
that smoking rates could be reduced to 16.1%. Further reductions might be realized
by increasing the tax rate by $1.00. Conclusions: The SimSmoke
model suggests that the HP2010 smoking prevalence objective is unlikely to be
attained. Although we are unlikely to reach the goals by meeting the HP2010 policy
objectives, they could get us much closer to the goal. Emphasis should be placed
on meeting the tax, clean air, media/comprehensive campaigns, and cessation treatment
objectives.
[top] [lung
working group] [close]
Levy DT, Mumford EA, Cummings KM, Gilpin
EA, Giovino G, Hyland A, Sweanor D, Warner KE. The relative risks
of a low-nitrosamine smokeless tobacco product compared with smoking
cigarettes: estimates of a panel of experts. Cancer Epidemiol
Biomarkers Prev 2004 Dec;13(12):2035-42.
Abstract: A 9-member panel of experts was asked to determine
expert opinions of mortality risks associated with use of low-nitrosamine
smokeless tobacco (LN-SLT) marketed for oral use. A modified Delphi
approach was employed. For total mortality, the estimated median
relative risk for individual users of LN-SLT ages 35 to 49 years
was 9% of the risk associated with smoking and for those ages 50
years and older it was 5% of smoking risk. Median mortality risks
relative to smoking were estimated to be 2%-3% for lung cancer,
10% for heart disease, and 15%-30% for oral cancer. While individual
estimates often varied between 0% and 50%, most panel members were
confident or very confident of their estimates by the last round
of consultation. In comparison to smoking, experts perceive at least
a 90% reduction in the relative risk of LN-SLT. The risks of using
LN-SLT products therefore should not be portrayed as comparable
to those of smoking cigarettes, as has been the practice of some
governmental and public health authorities in the past. Importantly,
the overall public health impact of LN-SLT will reflect use patterns,
its marketing, and governmental regulation of tobacco products.
[top] [lung
working group] [close]
Zeliadt SB, Penson DF, Albertsen PC, Concato J, Etzioni RD. Race independently predicts prostate specific antigen testing frequency following a prostate carcinoma diagnosis. Cancer 1 Aug 2003;98(3):496-503.
Abstract: A 9-member panel of experts was asked to determine
expert opinions of mortality risks associated with use of low-nitrosamine
smokeless tobacco (LN-SLT) marketed for oral use. A modified Delphi
approach was employed. For total mortality, the estimated median
relative risk for individual users of LN-SLT ages 35 to 49 years
was 9% of the risk associated with smoking and for those ages 50
years and older it was 5% of smoking risk. Median mortality risks
relative to smoking were estimated to be 2%-3% for lung cancer,
10% for heart disease, and 15%-30% for oral cancer. While individual
estimates often varied between 0% and 50%, most panel members were
confident or very confident of their estimates by the last round
of consultation. In comparison to smoking, experts perceive at least
a 90% reduction in the relative risk of LN-SLT. The risks of using
LN-SLT products therefore should not be portrayed as comparable
to those of smoking cigarettes, as has been the practice of some
governmental and public health authorities in the past. Importantly,
the overall public health impact of LN-SLT will reflect use patterns,
its marketing, and governmental regulation of tobacco products.
[top] [lung
working group] [close]
Levy DT, Chaloupka F, Gitchell J, Mendez D, Warner KE. The use of simulation models for the surveillance, justification and understanding of tobacco control policies. Health Care Manag Sci Apr 2002;5(2):113-20.
Abstract: Debates over national tobacco legislation and the use of state settlement funds demonstrate a need for information on the effects of tobacco control policies. Computer simulation models that are based on empirical evidence and that account for the variety of influences on tobacco use can be useful tools for informing policy makers. They can identify the effects of different policies, convey the importance of policy approaches to tobacco control, and help policy planners and researchers to better understand policies. This paper examines the role of simulation models in public policy, and discusses several recent models and limitations of those models.
[top] [lung
working group] [close]
Prostate Working Group
Tsodikov A, Garibotti G. Profile information matrix for nonlinear transformation models. Lifetime Data Anal 2006 Oct 5; [Epub ahead of print].
Abstract: For semiparametric models, interval estimation and hypothesis testing based on the information matrix for the full model is a challenge
because of potentially unlimited dimension. Use of the profile information
matrix for a small set of parameters of interest is an appealing alternative.
Existing approaches for the estimation of the profile information matrix are
either subject to the curse of dimensionality, or are ad-hoc and approximate
and can be unstable and numerically inefficient. We propose a numerically
stable and efficient algorithm that delivers an exact observed profile information
matrix for regression coefficients for the class of Nonlinear Transformation
Models [A. Tsodikov (2003) J R Statist Soc Ser B 65:759–774]. The
algorithm deals with the curse of dimensionality and requires neither large
matrix inverses nor explicit expressions for the profile surface.
Tsodikov A, Szabo A, Wegelin J. A population model of prostate cancer incidence. Stat Med 2006 Aug 30;25(16):2846-66.
Abstract: Introduction of screening for prostate cancer using the prostate-specific antigen (PSA) marker of the disease led to remarkable dynamics of the incidence of the disease observed in the last two decades. A statistical model is used to provide a link between dissemination of PSA and the observed transient population responses. The model is used to estimate lead time, overdiagnosis and other relevant characteristics of prostate cancer screening.
Draisma G, Postma R, Schröder FH, van der Kwast TH, de Koning HJ. Gleason score, age and screening: modeling dedifferentiation in prostate cancer. Int J Cancer 2006 Jul 20; [Epub ahead of print].
Abstract: Tumor differentiation as measured by the Gleason score is highly predictive of the course of prostatic cancer after diagnosis. Since the introduction of the prostate-specific antigen (PSA) test tumors are diagnosed with a favorable tumor stage and differentiation grade. Does screening with PSA just detect more tumors with favorable characteristics or is dedifferentiation actually being prevented by early detection and consequent treatment? The latter option implies that tumors dedifferentiate in the preclinical screen-detectable phase. To model the natural history of prostate cancer, we analyzed the age-specific distribution of clinical stage and Gleason score of 2,204 tumors diagnosed in the ERSPC-Rotterdam trial. We fitted two MISCAN simulation models to the observed data: Model I where tumors dedifferentiate before becoming screen-detectable and Model II where dedifferentiation occurs during the screen-detectable pre-clinical phase. The hypothesis of dedifferentiation during the screen-detectable phase was tested by a goodness of fit test of both models.
In the first screening round we observed a significant relation between age and Gleason score in screen detected cancers: the percentage of Gleason scores less than 7 dropped from 76% in men aged 55-59 to 57% in men aged 70-74; Gleason scores greater than 7 rose from 9% to 32%. In the second round after 4 years and in the control arm the association between Gleason score and age was not significant. Model II fitted significantly better than Model I (p<0.001). This study provides epidemiological evidence of dedifferentiation as a major mechanism of progression in prostate cancer. Tumors dedifferentiate during the screen-detectable phase and consequently screening with PSA and early treatment can possibly prevent dedifferentiation.
[top] [prostate working group] [close]
Inoue L, Etzioni R, Slate E, Morrell C.
Combining logitudinal studies of PSA. Biostat 2004;5:483-500.
Abstract: Prostate-Specific Antigen (PSA) is a biomarker
commonly used to screen for prostate cancer. Several studies have
examined PSA growth rates prior to prostate cancer diagnosis. However,
the resulting estimates are highly variable. In this article we
propose a non-linear Bayesian hierarchical model to combine longitudinal
data on PSA growth from three different studies. Our model enables
novel investigations into patterns of PSA growth that were previously
impossible due to sample size limitations. The goals of our analysis
are two-fold. First, to characterize growth rates of PSA accounting
for differences when combining data from different studies. Second,
to investigate the impact of clinical covariates such as advanced
disease and unfavorable histology on PSA growth rates.
[top] [prostate
working group] [close]
Shaw PA, Etzioni R, Zeliadt SB, Mariotto
A, Karnofski K, Penson DF, Weiss NS, Feuer EJ. An ecologic study
of prostate-specific antigen screening and prostate cancer mortality
in nine geographic areas of the United States. Am J Epidemiol
2004 Dec 1;160(11):1059-69.
Abstract: Ecologic studies of cancer screening examine cancer mortality
rates in relation to use of population screening. These studies
can be confounded by treatment patterns or influenced by choice
of outcome and time horizon. Interpretation can be complicated by
uncertainty about when mortality differences might be expected.
The authors examined these issues in an ecologic analysis of prostate-specific
antigen (PSA) screening and prostate cancer mortality across nine
cancer registries in the United States. Results suggested a weak
trend for areas with greater PSA screening rates to have greater
declines in prostate cancer mortality; however, the magnitude of
this trend varied considerably with the time horizon and outcome
measure. A computer model was used to determine whether divergence
of mortality declines would be expected under an assumption of a
clinically significant survival benefit due to screening. Given
a mean lead time of 5 years, the model projected that differences
in mortality between high- and low-use areas should be apparent
by 1999 in the absence of other factors affecting mortality. The
authors concluded that modest differences in PSA screening rates
across areas, together with additional sources of variation, could
have produced a negative ecologic result. Ecologic analyses of the
effectiveness of PSA testing should be interpreted with caution.
[top] [prostate
working group] [close]
Zeliadt SB, Potosky AL, Etzioni R, Ramsey SD, Penson DF. Racial disparity in primary and adjuvant treatment for nonmetastatic prostate cancer: SEER-Medicare trends 1991 to 1999. Urology 2004 Dec;64(6):1171-6.
Objectives: To assess trends in the initial care of nonmetastatic prostate cancer, including the use of primary and adjuvant androgen deprivation therapy (ADT), using population-based treatment claims from 1991 to 1999. Methods: We used a database linking the Surveillance, Epidemiology, and End Results (SEER) registry with Medicare claims to extract treatment information for 90,128 men aged 65 years and older, who were newly diagnosed with nonmetastatic prostate cancer. Results: The use of aggressive therapy has increased among white men over time; but aggressive therapy has recently declined among African-American men. Accounting for age, grade, socioeconomic status, and comorbidity, African-American men were 26% less likely to receive aggressive therapy than white men (odds ratio 0.74; 95% confidence interval 0.70 to 0.79). The use of ADT has increased substantially in both the primary and the adjuvant settings. By 1999, 45.6% of white men and 35.8% of African-American men who selected conservative management received primary ADT; among men treated with external beam radiotherapy, the proportion receiving adjuvant ADT was 53.7% for white men and 42.4% for African-American men (P <0.001). Conclusions: Racial differences in the use of aggressive and conservative therapies are increasing. ADT is becoming a widely adopted component of initial treatment for localized prostate cancer. It is crucial to understand the impact of treatment patterns, including the increased use of ADT, on patient survival, morbidity, and costs of care.
[top] [prostate working group] [close]
Etzioni R, Berry KM, Legler J, Shaw P.
Prostate-specific antigen testing in black and white men: an analysis
of Medicare claims from 1991-1998. Urology 2002 Feb;59(2):251-255.
Background: The objective of this study was to describe
trends in PSA utilization, and associated cancer detection among
black and white Medicare beneficiaries over the age of 65 during
the calendar period from January 1991 through December 1998. Methods:
Medicare claims data were linked with cancer registry data from
the Surveillance, Epidemiology and End Results program of the National
Cancer Institute. Data from a five percent random sample of men
without a diagnosis of prostate cancer were combined with data from
prostate cancer cases diagnosed during the calendar period from
1991-1998. PSA tests conducted after a diagnosis of prostate cancer
were excluded. Results: PSA utilization has stabilized among
white men, reaching an annual rate of 38 percent by 1995 and remaining
at this level through 1998. Annual rates of use among black men
reached 32 percent by 1998, but were still increasing at this time.
By 1996, at least 80 percent of tests in both blacks and whites
were second or later tests. By the end of 1996, 35 percent of white
men and 25 percent of black men were undergoing testing at least
biannually or more frequently. In 1996, 83 percent of diagnoses
in whites and 77 percent in blacks were preceded by a PSA test.
Conclusions: Older black men lag slightly behind older white
men in their utilization of the PSA test, however, annual testing
rates in blacks have yet to stabilize. In both race groups, an overwhelming
majority of diagnoses are associated with a PSA test, whether for
screening or diagnostic purposes. Regular screening rates in blacks
are substantially lower than in whites, but the regular screening
rates are relatively low in both race groups. Should PSA testing
prove efficacious, efforts to promote regular screening among both
black and white men will likely be needed.
[top] [prostate
working group] [close]
Etzioni R, Penson DF, Legler JM, di Tommaso
D, Boer R, Gann PH, Feuer EJ. Overdiagnosis due to prostate-specific
antigen screening: lessons from U.S. prostate cancer incidence trends.
J Natl Cancer Inst 2002 Jul 3;94(13):981-90.
Background: Overdiagnosis of clinically insignificant prostate
cancer is considered a major potential drawback of Prostate-Specific
Antigen (PSA) screening. Unfortunately quantitative estimates of
the magnitude of this problem are lacking. The objective of this
study was to provide estimates of overdiagnosis rates due to PSA
testing that are consistent with prostate cancer incidence trends
observed in the US from 1988 through 1996. Methods: We developed
a computer simulation model of PSA testing, subsequent prostate
cancer diagnosis, and death. The model uses data from Medicare and
the Surveillance, Epidemiology and End Results registry on PSA testing
patterns and associated cancer detection rates, together with data
from the literature on expected lead time, which is the time by
which PSA advances diagnosis. Given these inputs as well as an assumption
regarding the incidence of prostate cancer that would have been
anticipated in the absence of PSA, the model provides projections
of prostate cancer incidence and overdiagnosis among men aged 65
and above and undergoing PSA testing from 1988 through 1996. By
comparing the model-projected incidence with observed incidence
trends, overdiagnosis rates are estimated. Results: Assuming
that prostate cancer incidence in the absence of PSA would reflect
the consequences of a movement away from surgical toward medical
management of benign prostatic hyperplasia, overdiagnosis rates
consistent with observed incidence ranged from 25% to 35% for Caucasians
and 30% to 40% for African Americans. Conclusions: The observed
incidence trends are consistent with non-trivial rates of overdiagnosis
among PSA-detected cases aged 65 and above. However, these overdiagnosis
rates are considerably lower than might be anticipated given the
prevalence of autopsy-detectable prostate cancer in the population.
The results suggest that the majority of PSA-detected cancers detected
in this population between 1988 and 1996 would have presented clinically
within the lifetime of the patient, and that the minority of PSA-detected
cancers appear to arise from the pool of trivial indolent cases
that are visible only on autopsy.
[top] [prostate
working group] [close]
General Methods
Hanin L, Yakovlev A. Identifiability of the joint distribution of age and tumor size at detection in the presence of screening. Math Biosci Aug 2007;208(2):644-57.
Abstract: In recent years, a stochastic model of cancer development and detection allowing for arbitrary screening schedules has been developed and applied to analysis of screening trials and population-based cancer incidence and mortality data. The model is entirely mechanistic, builds on a minimal set of biologically plausible assumptions, and yields the joint distribution of tumor size and age of a patient at the time of diagnosis. Whether or not parameters of the model can be estimated from data generated by cohort studies depends on model identifiability. The present paper provides a proof of this important property of the model.
[top] [general methods section] [close]
Holford TR. Approaches to fitting age-period-cohort models with unequal intervals. Stat Med 2006 Mar 30;25(6):997-993.
Abstract: Age-period-cohort models have provided useful insights into the analysis of time trends for disease rates, in spite of the well known identifiability problem. Unique parameter estimates that avoid arbitrary constraints are provided by estimable functions of the parameter estimates. For data that are generated using equal interval widths for age and period, the identifiability issue may be expressed in terms of the age, period and cohort slopes. However, when the interval widths are not the same for age and period, additional identifiability problems arise. These may be represented in terms of macro trends, which have the identical identifiability problem seen in the equal interval case, and micro trends, which are the source of the additional problems. A framework for testing estimability is presented, and a variety of potentially interesting functions of the parameters considered. Unlike the equal interval case, drift is not estimable for unequal intervals, but local drift is. In addition, the available functions for forecasting are much more restrictive in the latter case. This estimability problem induces cyclical patterns in the estimates of trend as is demonstrated using data on leukemia in Connecticut males, but this can be avoided through the use of smoothing splines. These methods of are illustrated for three year period and five year age intervals using data on lung cancer mortality in Californian women.
[top] [general methods section] [close]
Pignone M, Saha S, Hoerger T, Lohr KN, Teutsch S, Mandelblatt J. Challenges in systematic reviews of economic analyses. Ann Intern Med 21 Jun 2005;142(12 Pt 2):1073-9.
Abstract: Economic analyses can provide valuable information for health care decision makers. Systematic reviews of economic analyses can integrate information from multiple studies and provide important insights by systematically examining how differences between models lead to different results. We use our experience in developing and implementing systematic reviews of economic analyses for the U.S. Preventive Services T ask Force, particularly our systematic review of the cost-effectiveness of colorectal cancer screening, to illustrate key methodologic challenges and suggest a framework for other researchers in this area.
[top] [general
methods section] [close]
Shen Y, Zelen M. Robust modeling
in screening studies: estimation of sensitivity and preclinical
sojourn time distribution. Biostatistics 2005;
6:604-14.
Abstract: In early-detection clinical trials,
quantities such as the sensitivity of the screening modality
and the preclinical duration of the disease are important
to describe the natural history of the disease and its interaction
with a screening program. Assume that the schedule of a screening
program is periodic and that the sojourn time in the preclinical
state has a piecewise density function. Modeling the preclinical
sojourn time distribution as a piecewise density function
results in robust estimation of the distribution function.
Our aim is to estimate the piecewise density function and
the examination sensitivity using both generalized least
squares and maximum likelihood methods. We carried out extensive
simulations to evaluate the performance of the methods of
estimation. The different estimation methods provide complimentary
tools to obtain the unknown parameters. The methods are applied
to three breast cancer early-detection trials.
[top] [general
methods section] [close]
Broët P, Tsodikov A. De Rycke
Y, Moreau T. Two-sample statistics for testing the equality
of survival functions against improper semi-parametric
accelerated failure time alternatives: An application to
the analysis of a breast cancer clinical trial. Lifetime
Data Anal 2004;10:103-20.
Abstract: This paper presents two-sample statistics
suited for testing equality of survival functions against
improper semi-parametric accelerated failure time alternatives.
These tests are designed for comparing either the short-
or the long-term effect of a prognostic factor, or both.
These statistics are obtained as partial likelihood score
statistics from a time-dependent Cox model. As a consequence,
the proposed tests can be very easily implemented using widely
available software. A breast cancer clinical trial is presented
as an example to demonstrate the utility of the proposed
tests.
[top] [general
methods section] [close]
Davidov O, Zelen M.
Overdiagnosis in early detection programs. Biostatistics 2004;5:603-13.
Abstract: Overdiagnosis refers to the situation
where a screening exam detects a disease that would have
otherwise been undetected in a person's lifetime. The disease
would have not have been diagnosed because the individual
would have died of other causes prior to its clinical onset.
Although the probability of overdiagnosis is an important
quantity for understanding early detection programs it has
not been rigorously studied. We analyze an idealized early
detection program and derive the mathematical expression
for the probability of overdiagnosis. The results are studied
numerically for prostate cancer and applied to a variety
of screening schedules. Our investigation indicates that
the probability of overdiagnosis is remarkably high.
[top] [general
methods section] [close]
Feuer EJ, Etzioni R, Cronin KA, Mariotto
A. The use of modeling to understand the impact of screening
on U.S. mortality: examples from mammography and PSA testing. Stat
Methods Med Res 2004 Dec;13(6):421-42.
Abstract: Surveillance data represent a vital resource
for understanding the impact of cancer control interventions
on the population cancer burden. However, population cancer
trends are a complex product of many factors, and estimating
the contribution of any one of these factors can be challenging.
Surveillance modeling is a technique for estimating the contribution
of one or more interventions of interest to trends in disease
incidence and mortality. In this article, we present several
approaches to surveillance modeling of cancer screening interventions.
We classify models as biological or epidemiological, depending
on whether they model the full unobservable aspects of disease
onset and progression, or models which reduce the complex
process to simpler terms by summarizing portions of the disease
process using population level measures. We also describe
differences between macrolevel models, microsimulation models
and mechanistic models. We discuss procedures for model calibration
and validation, and methods for presenting model results
which are robust with respect to certain types of biased
model estimates. As examples, we present several models of
the impact of mammography screening on breast cancer mortality,
and PSA screening on prostate cancer mortality. Both these
examples are appropriate uses of surveillance modeling, even
though for mammography there is extensive (although somewhat
controversial) randomized trial evidence, whereas for PSA
this biomarker has seen extensive use as a screening test
prior to any controlled trial evidence of its efficacy. Some
of the models presented here were developed as part of the
National Cancer Institute’s Cancer Intervention and
Surveillance Modeling Network.
[top] [general
methods section] [close]
Tsodikov A. Generalized self-consistency
methods for cure models. INSERM Workshop 154, 2004.
Abstract: A large class of semiparametric survival
models can be represented by the survival function G(t |
z) given covariates z treated as a function of an unspecifed
baseline survival function F (or the corresponding cumulative
hazard function H = -log F), and a vector of regression coeffients
. With such semiparametric models, we present a unifed approach
for model building and construction of numerically effcient
algorithms for maximum likelihood inference. The approach
is based on a generalization of the idea of self-consistency
and is motivated by frailties and the EM algorithm. Composition
technique is developed for building hierarchical model families
compatible with the algorithms. An algorithm is provided
to obtain the exact profile information matrix for the parametric
part of the model. The approach is illustrated using cure
models and real data.
[top] [general
methods section] [close]
Zelen M. Forward and backward
recurrence times and length biased sampling: Age specific
models. Lifetime Data Anal 2004; 10:325-34.
Abstract: Consider a chronic disease process
which is beginning to be observed at a point in chronological
time. The backward recurrence and forward recurrence times
are defined for prevalent cases as the time with disease
and the time to leave the disease state, respectively, where
the reference point is the point in time at which the disease
process is being observed. In this setting the incidence
of disease affects the recurrence time distributions. In
addition, the survival of prevalent cases will tend to be
greater than the population with disease due to length biased
sampling. A similar problem arises in models for the early
detection of disease. In this case the backward recurrence
time is how long an individual has had disease before detection
and the forward recurrence time is the time gained by early
diagnosis, i.e., until the disease becomes clinical by exhibiting
signs or symptoms. In these examples the incidence of disease
may be age related resulting in a non-stationary process.
The resulting recurrence time distributions are derived as
well as some generalization of length-biased sampling.
[top] [general
methods section] [close]
Davidov O, Zelen M. The theory
of case-control studies for early detection programs. Biostatistics 2003;4:411-21.
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