Mathematical modeling

Methods in Comparative Effectiveness Research

Volumn , Issue , 2017, Pages 409-446

  Roberts, Mark S ^a   Smith, Kenneth J ^b   Chhatwal, Jagpreet ^c  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b UNIVERSITY OF PITTSBURGH SCHOOL OF MEDICINE   (United States)

^c HARVARD MEDICAL SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85047133666     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9781315159409     Document Type: Chapter

References (55)

1. Guyatt GH, Haynes RB, Jaeschke RZ et al. Users' Guides to the Medical Literature: XXV. Evidence-based medicine: Principles for applying the users' guides to patient care. Evidence-Based Medicine Working Group. JAMA 2000;284:1290-6.
2. Evidence-Based Medicine Working Group. Evidence-based medicine. A new approach to teaching the practice of medicine. JAMA 1992;268:2420-5.
3. Sox HC, Goodman SN. The methods of comparative effectiveness research. Annual Review of Public Health 2012;33:425-45.
4. Patient-Centered Outcomes Research Institute. The PCORI Methodology Report, 2012. Retrieved from: http://www.pcori.org/content/pcori-methodology-report. (Accessed January 18, 2015).
5. Eddy DM, Hollingworth W, Caro JJ et al. Model transparency and validation: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force-7. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2012;32:733-43.
6. Briggs AH, Weinstein MC, Fenwick EA et al. Model parameter estimation and uncertainty analysis: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force Working Group-6. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2012;32:722-32.
7. Pitman R, Fisman D, Zaric GS et al. Dynamic transmission modeling: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force Working Group-5. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2012;32:712-21.
8. Karnon J, Stahl J, Brennan A, Caro JJ, Mar J, Moller J. Modeling using discrete event simulation: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force-4. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2012;32:701-11.
9. Siebert U, Alagoz O, Bayoumi AM et al. State-transition modeling: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force-3. Medical Decision Making: An International Journal of the Society for Medical Decision Making2012;32:690-700.
10. Roberts M, Russell LB, Paltiel AD et al. Conceptualizing a model: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force-2. Medical Decision Making: An International Journal of the Society for Medical Decision Making2012;32:678-89.
11. Caro JJ, Briggs AH, Siebert U, Kuntz KM, Force I-SMGRPT. Modeling good research practices—Overview: A report of the ISPOR-SMDM Modeling Good Research Practices Task Force-1. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2012;32:667-77.
12. 3: A cost-effectiveness analysis. Journal of Acquired Immune Deficiency Syndromes 1991;4:521-31.
13. Freedberg KA, Tosteson AN, Cotton DJ, Goldman L. Optimal management strategies for HIV-infected patients who present with cough or dyspnea: A cost-effective analysis. Journal of General Internal Medicine 1992;7:261-72.
14. Doubilet P, Begg CB, Weinstein MC, Braun P, McNeil BJ. Probabilistic sensitivity analysis using Monte Carlo simulation. A practical approach. Medical Decision Making: An International Journal of the Society for Medical Decision Making1985;5:157-77.
15. Briggs AH, Ades AE, Price MJ. Probabilistic sensitivity analysis for decision trees with multiple branches: Use of the Dirichlet distribution in a Bayesian framework. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2003;23:341-50.
16. Ades AE, Claxton K, Sculpher M. Evidence synthesis, parameter correlation and probabilistic sensitivity analysis. Health Economics 2006;15:373-81.
17. Kim LG, Thompson SG. Uncertainty and validation of health economic decision models. Health Economics 2010;19:43-55.
18. Braithwaite RS, Shechter S, Chang CC, Schaefer A, Roberts MS. Estimating the rate of accumulating drug resistance mutations in the HIV genome. Value in Health: The Journal of the International Society for Pharmacoeconomics and Outcomes Research 2007;10:204-13.
19. Braithwaite RS, Shechter S, Roberts MS et al. Explaining variability in the relationship between antiretroviral adherence and HIV mutation accumulation. The Journal of Antimicrobial Chemotherapy 2006;58:1036-43.
20. Schlessinger L, Eddy DM. Archimedes: A new model for simulating health care systems—The mathematical formulation. Journal of Biomedical Informatics2002;35:37-50.
21. Stahl JE. Modelling methods for pharmacoeconomics and health technology assessment: An overview and guide. PharmacoEconomics 2008;26:131-48.
22. Sanders GD, Bayoumi AM, Sundaram V et al. Cost-effectiveness of screening for HIV in the era of highly active antiretroviral therapy. The New England Journal of Medicine 2005;352:570-85.
23. Sonnenberg FA, Beck JR. Markov models in medical decision making: A practical guide. Medical Decision Making: An International Journal of the Society for Medical Decision Making 1993;13:322-38.
24. Roberts M, Sonnenberg F. Decision modeling techniques. In: Chapman G, Sonnenberg F, eds. Decision Making in Health Care: Theory, Psychology, Applications. New York: Cambridge University Press. 2000.
25. Bonabeau E. Agent-based modeling: Methods and techniques for simulating human systems. PNAS 2015;112:7280-7.
26. Chhatwal J, He T. Economic evaluations with agent-based modelling: An introduction. PharmacoEconomics 2015;33:423-33.
27. Grefenstette JJ, Brown ST, Rosenfeld R et al. FRED (a Framework for Reconstructing Epidemic Dynamics): An open-source software system for modeling infectious diseases and control strategies using census-based populations. BMC Public Health 2013;13:940.
28. Eddy DM, Schlessinger L. Validation of the Archimedes diabetes model. Diabetes Care 2003;26:3102-10.
29. Eddy DM, Schlessinger L. Archimedes: A trial-validated model of diabetes. Diabetes Care 2003;26:3093-101.
30. Hur C, Chung DC, Schoen RE, Gazelle GS. The management of small polyps found by virtual colonoscopy: Results of a decision analysis. Clinical Gastroenterology and Hepatology: The Official Clinical Practice Journal of the American Gastroenterological Association 2007;5:237-44.
31. Olin RL, Kanetsky PA, Ten Have TR, Nasta SD, Schuster SJ, Andreadis C. Determinants of the optimal first-line therapy for follicular lymphoma: A decision analysis. American Journal of Hematology 2010;85:255-60.
32. Olin RL, Andreadis C. David versus Goliath: Decision analysis predicts results of a large clinical trial in follicular lymphoma. Journal of Clinical Oncology: Official Journal of the American Society of Clinical Oncology 2013;31:3608-9.
33. Beck JR, Kassirer JP, Pauker SG. A convenient approximation of life expectancy (the “DEALE"). I. Validation of the method. American Journal of Medicine1982;73(6):883-8.
34. Beck JR, Pauker SG, Gottlieb JE, Klein K, Kassirer JP. A convenient approximation of life expectancy (the “DEALE"). II. Use in medical decision-making. American Journal of Medicine 1982 Dec;73(6):889-97.
35. Swedish KA, Factor SH, Goldstone SE. Prevention of recurrent high-grade anal neoplasia with quadrivalent human papillomavirus vaccination of men who have sex with men: A nonconcurrent cohort study. Clinical Infectious Diseases2012;54:891-8.
36. Swedish KA, Goldstone SE. Prevention of anal condyloma with quadrivalent human papillomavirus vaccination of older men who have sex with men. PLoS One 2014;9:e93393.
37. Joura EA, Garland SM, Paavonen J et al. Effect of the human papillomavirus (HPV) quadrivalent vaccine in a subgroup of women with cervical and vulvar disease: Retrospective pooled analysis of trial data. BMJ 2012;344: e1401.
38. Deshmukh AA, Chhatwal J, Chiao EY, Nyitray AG, Das P, Cantor SB. Long-term outcomes of adding HPV vaccine to the anal intraepithelial neoplasia treatment regimen in hiv-positive men who have sex with men. Clinical Infectious Diseases2015; 61(10):1527-35.
39. Deshmukh AA, Chiao EY, Das P, Cantor SB. Clinical effectiveness and cost-effectiveness of quadrivalent human papillomavirus vaccination in HIV-negative men who have sex with men to prevent recurrent high-grade anal intraepithelial neoplasia. Vaccine 2014;32:6941-7.
40. Yokota F, Thompson KM. Value of information analysis in environmental health risk management decisions: Past, present, and future. Risk Analysis 2004;24: 635-50.
41. Howard RA. Information value theory. IEEE Transactions on Systems Science and Cybernetics 1966;2:22-6.
42. Howard RA. Value of information lotteries. IEEE Transactions on Systems Science and Cybernetics 1967;3:54-60.
43. Claxton K, Cohen JT, Neumann PJ. When is evidence sufficient? Health Affairs (Millwood) 2005;24:93-101.
44. Claxton K, Neumann PJ, Araki S, Weinstein MC. Bayesian value-of-information analysis. International Journal of Technology Assessment in Health Care 2001;17: 38-55.
45. Briggs A, Sculpher M, Claxton K. Decision Modelling for Health Economic Evaluation. New York, NY: Oxford University Press. 2006.
46. Chhatwal J, Elbasha EH. Transformation of Transition Rates and Probabilities in Discrete-Time Markov Chains: What about Competing Risks? Chicago, IL: Society for Medical Decision Making. 2011.
47. Marino S, Hogue IB, Ray CJ, Kirschner DE. A methodology for performing global uncertainty and sensitivity analysis in systems biology. Journal of Theoretical Biology 2008;254:178-96.
48. Raiffa H, Schlaifer R. Applied Statistical Decision Theory. Boston, MA: Harvard Business School Publications. 1961.
49. Jalal H, Goldhaber-Fiebert JD, Kuntz KM. Computing expected value of partial sample information from probabilistic sensitivity analysis using linear regression metamodeling. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2015;35:584-95.
50. Strong M, Oakley JE, Brennan A. Estimating multiparameter partial expected value of perfect information from a probabilistic sensitivity analysis sample: A nonparametric regression approach. Medical Decision Making: An International Journal of the Society for Medical Decision Making 2014;34:311-26.
51. Minelli C, Baio G. Value of information: A tool to improve research prioritization and reduce waste. PLoS Medicine 2015;12:e1001882.
52. PCORI Board Approves Providing up to $50 Million for CER on Hepatitis C. Retrieved from: http://www.pcori.org/news-release/pcori-board-approves-providing-50-million-cer-hepatitis-c (Accessed December 22, 2015).
53. Myers E, Sanders GD, Ravi D et al. Evaluating the Potential Use of Modeling and Value-of-Information Analysis for Future Research Prioritization within the Evidence-Based Practice Center Program. Rockville, MD. 2011.
54. Myers E, McBroom A, Shen L, Posey R, Gray M. Value of information analysis for patient-centered outcomes research prioritization. Duke Evidence-Based Practice Center for Patient-Centered Outcomes Research Institute. 2012.
55. Rein DB. Value of information and research prioritization. White Paper for the Patient-Centered Outcomes Research Institute: NORC at the University of Chicago. 2012.