Mathematical models for predicting the epidemiologic and economic impact of vaccination against human papillomavirus infection and disease.

Infection with human papillomavirus (HPV) is the primary cause of cervical cancer, other anogenital cancers, genital warts, and recurrent respiratory papillomatosis. Clinical studies have demonstrated that a prophylactic HPV vaccine can prevent infection, genital warts, and the precancerous lesions that lead to cervical cancer. Given the absence of data on the long-term effectiveness of HPV vaccination, a number of mathematical models have been developed to provide insight to policy makers by projecting the long-term epidemiologic and economic consequences of vaccination and evaluate alternative vaccination policies. This paper reviews the state of these models. Three types of HPV mathematical models have been reported in the literature: cohort, population dynamic, and hybrid. All have demonstrated that vaccination can significantly reduce the incidence of cervical cancer in the long term. However, only the cohort and hybrid models have evaluated the cost-effectiveness of vaccination strategies for preventing cervical cancer. These models have generally shown that vaccinating females can be cost-effective. None has accounted for the potential benefits of vaccinating the population to reduce the burden of recurrent respiratory papillomatosis and cancers of the vagina, vulva, anus, penis, and head/neck. Given that only the population dynamic model can account for both the direct and indirect (i.e., herd immunity effects) benefits of vaccination in the population, future research should focus on further development of dynamic models by expanding the range of epidemiologic outcomes tracked and including the ability to assess the cost-effectiveness of alternative vaccination policies.

[1]  J. Holmes,et al.  The cost-effectiveness of human papillomavirus screening for cervical cancer , 2005, The European Journal of Health Economics.

[2]  J. J. Linehan,et al.  SCREENING FOR CERVICAL CANCER , 1974 .

[3]  D J Nokes,et al.  Evaluating the cost-effectiveness of vaccination programmes: a dynamic perspective. , 1999, Statistics in medicine.

[4]  J. Ferlay,et al.  Global Cancer Statistics, 2002 , 2005, CA: a cancer journal for clinicians.

[5]  L. Mango,et al.  Design and methods of a population-based natural history study of cervical neoplasia in a rural province of Costa Rica: the Guanacaste Project. , 1997, Revista panamericana de salud publica = Pan American journal of public health.

[6]  G. Sanders,et al.  Decision science and cervical cancer , 2003, Cancer.

[7]  C. Wheeler,et al.  Early assessment of the efficacy of a human papillomavirus type 16 L1 virus-like particle vaccine. , 2004, Vaccine.

[8]  M. Nygård,et al.  Screening histories of women with CIN 2/3 compared with women diagnosed with invasive cervical cancer: a retrospective analysis of the Norwegian Coordinated Cervical Cancer Screening Program , 2005, Cancer Causes & Control.

[9]  A. Miller,et al.  A cohort study of cervical cancer screening in British Columbia. , 1982, Clinical and investigative medicine. Medecine clinique et experimentale.

[10]  Calum MacAulay,et al.  Natural History of Cervical Intraepithelial Neoplasia , 2005, Acta Cytologica.

[11]  S. Goldie Health economics and cervical cancer prevention: a global perspective. , 2002, Virus research.

[12]  D. Silverman,et al.  Cancer incidence and mortality trends among whites in the United States, 1947-84. , 1987, Journal of the National Cancer Institute.

[13]  Guoyu Tao,et al.  The estimated direct medical cost of sexually transmitted diseases among American youth, 2000. , 2004, Perspectives on sexual and reproductive health.

[14]  G. Garnett,et al.  Public health paradoxes and the epidemiological impact of an HPV vaccine. , 2000, Journal of clinical virology : the official publication of the Pan American Society for Clinical Virology.

[15]  C J L M Meijer,et al.  The causal relation between human papillomavirus and cervical cancer. , 2002, Journal of clinical pathology.

[16]  Milton C Weinstein,et al.  Projected clinical benefits and cost-effectiveness of a human papillomavirus 16/18 vaccine. , 2004, Journal of the National Cancer Institute.

[17]  C. Wheeler,et al.  A controlled trial of a human papillomavirus type 16 vaccine. , 2002, The New England journal of medicine.

[18]  Stefan Wagenpfeil,et al.  Validation of health economic models: the example of EVITA. , 2003, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[19]  N. Kiviat,et al.  Concurrent and sequential acquisition of different genital human papillomavirus types. , 2000, The Journal of infectious diseases.

[20]  James P. Hughes,et al.  The Theoretical Population-Level Impact of a Prophylactic Human Papilloma Virus Vaccine , 2002, Epidemiology.

[21]  A J Palmer,et al.  The Mt. Hood challenge: cross-testing two diabetes simulation models. , 2000, Diabetes research and clinical practice.

[22]  A. Galvani,et al.  Vaccination against multiple HPV types. , 2005, Mathematical biosciences.

[23]  R. Burk,et al.  Risk factors for subsequent cervicovaginal human papillomavirus (HPV) infection and the protective role of antibodies to HPV-16 virus-like particles. , 2002, The Journal of infectious diseases.

[24]  M. Fahs,et al.  Cost-effective policies for cervical cancer screening. An international review. , 1996, PharmacoEconomics.

[25]  J. W. Henderson Cost-effectiveness of cervical cancer screening strategies , 2004, Expert review of pharmacoeconomics & outcomes research.

[26]  M. J. Evans,et al.  An international review , 2002 .

[27]  M. Lehtinen,et al.  Vaccination against human papillomaviruses shows great promise , 2004, The Lancet.

[28]  J. Peto,et al.  The cervical cancer epidemic that screening has prevented in the UK , 2004, The Lancet.

[29]  R. May,et al.  Infectious Diseases of Humans: Dynamics and Control , 1991, Annals of Internal Medicine.

[30]  K. Holmes,et al.  Epidemiology of genital human papillomavirus infection. , 1988, Epidemiologic reviews.

[31]  F Reed Johnson,et al.  Modeling for health care and other policy decisions: uses, roles, and validity. , 2002, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[32]  Daron G Ferris,et al.  Efficacy of a bivalent L1 virus-like particle vaccine in prevention of infection with human papillomavirus types 16 and 18 in young women: a randomised controlled trial , 2004, The Lancet.

[33]  A. Zbrozek,et al.  Model of Complications of NIDDM: I. Model construction and assumptions , 1997, Diabetes Care.

[34]  D M Eddy,et al.  The frequency of cervical cancer screening. Comparison of a mathematical model with empirical data , 1987, Cancer.

[35]  H. Adami,et al.  International incidence rates of invasive cervical cancer after introduction of cytological screening , 1997, Cancer Causes & Control.

[36]  L. Goldman,et al.  Forecasting coronary heart disease incidence, mortality, and cost: the Coronary Heart Disease Policy Model. , 1987, American journal of public health.

[37]  M. Weinstein,et al.  Medicare and cost-effectiveness analysis. , 2005, The New England journal of medicine.

[38]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[39]  R. Steinbrook The potential of human papillomavirus vaccines. , 2006, The New England journal of medicine.

[40]  D C McCrory,et al.  Mathematical model for the natural history of human papillomavirus infection and cervical carcinogenesis. , 2000, American journal of epidemiology.

[41]  R. Lawrence,et al.  COMMITTEE TO STUDY PRIORITIES FOR VACCINE DEVELOPMENT , 2000 .

[42]  L Beardsley,et al.  Natural history of cervicovaginal papillomavirus infection in young women. , 1998, The New England journal of medicine.

[43]  Geoffrey P Garnett,et al.  Role of herd immunity in determining the effect of vaccines against sexually transmitted disease. , 2005, The Journal of infectious diseases.

[44]  J. Peto,et al.  Human papillomavirus is a necessary cause of invasive cervical cancer worldwide , 1999, The Journal of pathology.

[45]  V. Kataja,et al.  Prevalence, Incidence, and Estimated Life‐time Risk of Cervical Human Papillomavirus Infections in a Nonselected Finnish Female Population , 1990, Sexually transmitted diseases.

[46]  Gillian D. Sanders,et al.  Cost Effectiveness of a Potential Vaccine for Human papillomavirus , 2003, Emerging infectious diseases.

[47]  J D Graham,et al.  Modeling for health care and other policy decisions: uses, roles, and validity. , 2001, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[48]  M. Weinstein,et al.  A comprehensive natural history model of HPV infection and cervical cancer to estimate the clinical impact of a prophylactic HPV‐16/18 vaccine , 2003, International journal of cancer.

[49]  F. Bray,et al.  Trends in Cervical Squamous Cell Carcinoma Incidence in 13 European Countries: Changing Risk and the Effects of Screening , 2005, Cancer Epidemiology Biomarkers & Prevention.

[50]  J. Walboomers,et al.  Distribution of 37 mucosotropic HPV types in women with cytologically normal cervical smears: The age‐related patterns for high‐risk and low‐risk types , 2000, International journal of cancer.

[51]  G. Sanders,et al.  Evaluating Human Papillomavirus Vaccination Programs , 2004, Emerging infectious diseases.

[52]  Sue J Goldie,et al.  Cost-effectiveness of cervical-cancer screening in five developing countries. , 2005, The New England journal of medicine.

[53]  Shalini L Kulasingam,et al.  Potential health and economic impact of adding a human papillomavirus vaccine to screening programs. , 2003, JAMA.

[54]  C. Wheeler,et al.  Efficacy of a bivalent L1 virus-like particle vaccine in prevention of infection with human papillomavirus types 16 and 18 in young women: A randomized, controlled trial , 2005 .

[55]  Milton C Weinstein,et al.  Principles of good practice for decision analytic modeling in health-care evaluation: report of the ISPOR Task Force on Good Research Practices--Modeling Studies. , 2003, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[56]  S. Goldie Chapter 15: Public health policy and cost-effectiveness analysis. , 2003, Journal of the National Cancer Institute. Monographs.

[57]  N. Ling The Mathematical Theory of Infectious Diseases and its applications , 1978 .

[58]  D. Lowy,et al.  Minor capsid protein of human genital papillomaviruses contains subdominant, cross-neutralizing epitopes. , 2000, Virology.

[59]  D. Galloway Papillomavirus vaccines in clinical trials. , 2003, The Lancet. Infectious diseases.

[60]  S. Pauker,et al.  The Markov Process in Medical Prognosis , 1983, Medical decision making : an international journal of the Society for Medical Decision Making.

[61]  David M. Eddy,et al.  Screening for cancer : theory, analysis, and design , 1984 .

[62]  A. Raffle,et al.  Outcomes of screening to prevent cancer: analysis of cumulative incidence of cervical abnormality and modelling of cases and deaths prevented , 2003, BMJ : British Medical Journal.

[63]  I. Katz,et al.  Preventing cervical cancer in the developing world. , 2006, The New England journal of medicine.

[64]  C. Peyton,et al.  Determinants of genital human papillomavirus detection in a US population. , 2001, The Journal of infectious diseases.

[65]  J. Mossong,et al.  Modelling antibody response to measles vaccine and subsequent waning of immunity in a low exposure population. , 2000, Vaccine.

[66]  Cosette M Wheeler,et al.  Prophylactic quadrivalent human papillomavirus (types 6, 11, 16, and 18) L1 virus-like particle vaccine in young women: a randomised double-blind placebo-controlled multicentre phase II efficacy trial. , 2005, The Lancet. Oncology.

[67]  W. Edmunds,et al.  Economic Evaluation of Vaccination Programs: The Impact of Herd-Immunity , 2003, Medical decision making : an international journal of the Society for Medical Decision Making.

[68]  David R. Scott,et al.  A prospective study of human papillomavirus (HPV) type 16 DNA detection by polymerase chain reaction and its association with acquisition and persistence of other HPV types. , 2001, The Journal of infectious diseases.

[69]  T. Rohan,et al.  Cervical coinfection with human papillomavirus (HPV) types as a predictor of acquisition and persistence of HPV infection. , 2001, The Journal of infectious diseases.

[70]  Helen Trottier,et al.  Modeling the sexual transmissibility of human papillomavirus infection using stochastic computer simulation and empirical data from a cohort study of young women in Montreal, Canada. , 2006, American journal of epidemiology.

[71]  M. Boily,et al.  Mathematical Models of Disease Transmission: A Precious Tool for the Study of Sexually Transmitted Diseases , 1997, Canadian journal of public health = Revue canadienne de sante publique.

[72]  N. Bailey,et al.  The mathematical theory of infectious diseases and its applications. 2nd edition. , 1975 .

[73]  M. Stanley Chapter 17: Genital human papillomavirus infections--current and prospective therapies. , 2003, Journal of the National Cancer Institute. Monographs.

[74]  A. Moscicki,et al.  The natural history of human papillomavirus infection as measured by repeated DNA testing in adolescent and young women. , 1998, The Journal of pediatrics.

[75]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..