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Erschienen in: PharmacoEconomics 2/2009

01.02.2009 | Original Research Article

Comparison of Markov Model and Discrete-Event Simulation Techniques for HIV

verfasst von: Prof. Kit N. Simpson, Alvin Strassburger, Walter J. Jones, Birgitta Dietz, Rukmini Rajagopalan

Erschienen in: PharmacoEconomics | Ausgabe 2/2009

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Abstract

Background: Markov models have been the standard framework for predicting long-term clinical and economic outcomes using the surrogate marker endpoints from clinical trials. However, they are complex, have intensive data requirements and are often difficult for decision makers to understand. Recent developments in modelling software have made it possible to use discrete-event simulation (DES) to model outcomes in HIV. Using published results from 48-week trial data as model inputs, Markov model and DES modelling approaches were compared in terms of clinical outcomes at 5 years and lifetime cost-effectiveness estimates.
Methods: A randomly selected cohort of 100 antiretroviral-naive patients with a mean baseline CD4+ T-cell count of 175 cells/mm3 treated with lopinavir/ritonavir was selected from Abbott study M97-720. Parameter estimates from this cohort were used to populate both a Markov and a DES model, and the long-term estimates for these cohorts were compared. The models were then modified using the relative risk of undetectable viral load as reported for atazanavir and lopinavir/ritonavir in the published BMS 008 study. This allowed us to compare the mean cost effectiveness of the models. The clinical outcomes included mean change in CD4+ T-cell count, and proportion of subjects with plasma HIV-1 RNA (viral load [VL]) <50 copies/mL, VL 50–400 copies/mL and VL >400 copies/mL. US wholesale acquisition costs (year 2007 values) were used in the mean cost-effectiveness analysis, and the cost and QALY data were discounted at 3%.
Results: The results show a slight predictive advantage of the DES model for clinical outcomes. The DES model could capture direct input of CD4+ T-cell count, and proportion of subjects with plasma HIV-1 RNA VL <50 copies/mL, VL 50–00 copies/mL and VL >400 copies/mL over a 48-week period, which the Markov model could not. The DES and Markov model estimates were similar to the actual clinical trial estimates for 1-year clinical results; however, the DES model predicted more detailed outcomes and had slightly better long-term (5-year) predictive validity than the Markov model. Similar cost estimates were derived from the Markov model and the DES. Both models predict cost savings at 5 and 10 years, and over a lifetime for the lopinavir/ritonavir treatment regimen as compared with an atazanavir regimen.
Conclusion: The DES model predicts the course of a disease naturally, with few restrictions. Thismay give themodel superior face validity with decision makers. Furthermore, this model automatically provides a probabilistic sensitivity analysis, which is cumbersome to perform with a Markov model. DES models allow inclusion of more variables without aggregation, which may improve model precision. The capacity of DES for additional data capture helps explain why this model consistently predicts better survival and thus greater savings than the Markov model. The DES model is better than the Markov model in isolating long-term implications of small but important differences in crucial input data.
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Literatur
1.
Zurück zum Zitat Weinstein M, O’Brien B, Hornberger J, 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. Value Health 2003; 6 (9): 9–17PubMedCrossRef Weinstein M, O’Brien B, Hornberger J, 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. Value Health 2003; 6 (9): 9–17PubMedCrossRef
2.
Zurück zum Zitat Stahl JE. Modeling methods for pharmacoeconomics and health technology assessment: an overview and guide. Pharmaceconomics 2008; 26 (2): 131–48CrossRef Stahl JE. Modeling methods for pharmacoeconomics and health technology assessment: an overview and guide. Pharmaceconomics 2008; 26 (2): 131–48CrossRef
3.
Zurück zum Zitat Caro JJ. Pharmacoeconomic analyses using discrete event simulation. Pharmacoeconomics 2005; 23 (4): 323–32PubMedCrossRef Caro JJ. Pharmacoeconomic analyses using discrete event simulation. Pharmacoeconomics 2005; 23 (4): 323–32PubMedCrossRef
4.
Zurück zum Zitat Patten SB. An animated depiction of major depression epidemiology. BMC Psychiatry 2007; 7: 23PubMedCrossRef Patten SB. An animated depiction of major depression epidemiology. BMC Psychiatry 2007; 7: 23PubMedCrossRef
5.
Zurück zum Zitat Matta ME, Patterson SS. Evaluating multiple performance measures across several dimensions at a multi-facility outpatient center. Health Care Manag Sci 2007; 10 (2): 173–94PubMedCrossRef Matta ME, Patterson SS. Evaluating multiple performance measures across several dimensions at a multi-facility outpatient center. Health Care Manag Sci 2007; 10 (2): 173–94PubMedCrossRef
7.
Zurück zum Zitat Hicks C. Long-term safety and durable antiretroviral activity of lopinavir/ritonavir in treatment-naïve patients: 4-year follow-up study. AIDS 2004; 18: 775–9PubMedCrossRef Hicks C. Long-term safety and durable antiretroviral activity of lopinavir/ritonavir in treatment-naïve patients: 4-year follow-up study. AIDS 2004; 18: 775–9PubMedCrossRef
8.
Zurück zum Zitat Johnson M, Grinsztejn B, Rodrigues C, et al. Atazanavir plus ritonavir or saquinavir, and lopinavir/ritonavir in patients experiencing multiple virological failures. AIDS 2005; 19 (7): 685–94PubMedCrossRef Johnson M, Grinsztejn B, Rodrigues C, et al. Atazanavir plus ritonavir or saquinavir, and lopinavir/ritonavir in patients experiencing multiple virological failures. AIDS 2005; 19 (7): 685–94PubMedCrossRef
9.
Zurück zum Zitat Johnson M, Grinsztejn B, Rodrigues C, et al. 96-week comparison of once-daily atazanavir/ritonavir and twice-daily lopinavir/ritonavir in patients with multiple virological failures. AIDS 2006; 20 (5): 711–8PubMedCrossRef Johnson M, Grinsztejn B, Rodrigues C, et al. 96-week comparison of once-daily atazanavir/ritonavir and twice-daily lopinavir/ritonavir in patients with multiple virological failures. AIDS 2006; 20 (5): 711–8PubMedCrossRef
10.
Zurück zum Zitat Gathe J, Podzamczer D, Johnson M, et al. Once-daily vs twice-daily lopinavir in antiretroviral-naive patients: 48-week results [poster #570]. 11th Conference on Retroviruses and Opportunistic Infections; 2004 Feb 8–11; San Francisco (CA) [online]. Available from URL: http://www.retroconference.org/2004/cd/PDFs/570.pdf [Accessed 2007 Oct 22] Gathe J, Podzamczer D, Johnson M, et al. Once-daily vs twice-daily lopinavir in antiretroviral-naive patients: 48-week results [poster #570]. 11th Conference on Retroviruses and Opportunistic Infections; 2004 Feb 8–11; San Francisco (CA) [online]. Available from URL: http://​www.​retroconference.​org/​2004/​cd/​PDFs/​570.​pdf [Accessed 2007 Oct 22]
11.
Zurück zum Zitat Walmsley S, Bernstein B, King M, et al. Lopinavir-ritonavir vs. nelfinavir for the initial treatment of HIV infection. N Engl J Med 2002; 346 (26): 2039–46PubMedCrossRef Walmsley S, Bernstein B, King M, et al. Lopinavir-ritonavir vs. nelfinavir for the initial treatment of HIV infection. N Engl J Med 2002; 346 (26): 2039–46PubMedCrossRef
12.
Zurück zum Zitat Simpson KN, Voit EO, Goodman R, et al. Estimating the social and economic benefits of pharmaceutical innovations: modeling clinical trial results in HIV-disease. Res Hum Cap Dev 2001; 14: 175–98CrossRef Simpson KN, Voit EO, Goodman R, et al. Estimating the social and economic benefits of pharmaceutical innovations: modeling clinical trial results in HIV-disease. Res Hum Cap Dev 2001; 14: 175–98CrossRef
13.
Zurück zum Zitat Simpson KN, Luo MP, Chumney ECG, et al. Cost effectiveness of lopinavir/ritonavir versus nelfinavir as the first-line highly active antiretroviral therapy regimen for HIV infection. HIV Clin Trials 2004; 5 (5): 294–304PubMedCrossRef Simpson KN, Luo MP, Chumney ECG, et al. Cost effectiveness of lopinavir/ritonavir versus nelfinavir as the first-line highly active antiretroviral therapy regimen for HIV infection. HIV Clin Trials 2004; 5 (5): 294–304PubMedCrossRef
14.
Zurück zum Zitat Simpson KN, Luo M, Chumney ECG, et al. Cost-effectiveness of lopinavir/ritonavir compared to atazanavir in antiretroviral-naïve patients: modeling the combined effects of HIV and heart disease. Clin Drug Invest 2007; 27 (1): 67–74CrossRef Simpson KN, Luo M, Chumney ECG, et al. Cost-effectiveness of lopinavir/ritonavir compared to atazanavir in antiretroviral-naïve patients: modeling the combined effects of HIV and heart disease. Clin Drug Invest 2007; 27 (1): 67–74CrossRef
15.
Zurück zum Zitat Simpson KN, Jones WJ, Rajagopalan R, et al. Cost effectiveness of lopinavir/ritonavir compared with atazanavir plus ritonavir in antiretroviral-experienced patients in the US. Clin Drug Invest 2007; 27 (7): 443–52CrossRef Simpson KN, Jones WJ, Rajagopalan R, et al. Cost effectiveness of lopinavir/ritonavir compared with atazanavir plus ritonavir in antiretroviral-experienced patients in the US. Clin Drug Invest 2007; 27 (7): 443–52CrossRef
16.
Zurück zum Zitat Murphy R, daSilva B, McMillan F, et al. Seven year follow-up of a lopinavir/ritonavir-based regimen in antiretroviral-naïve subjects [poster PE7.9–7]. 10th European AIDS Conference; 2005 Nov 17–20; Dublin Murphy R, daSilva B, McMillan F, et al. Seven year follow-up of a lopinavir/ritonavir-based regimen in antiretroviral-naïve subjects [poster PE7.9–7]. 10th European AIDS Conference; 2005 Nov 17–20; Dublin
17.
Zurück zum Zitat Weinstein MC. Recent developments in decision-analytic modeling for economic evaluation. Pharmacoeconomics 2006; 24 (11): 1043–53PubMedCrossRef Weinstein MC. Recent developments in decision-analytic modeling for economic evaluation. Pharmacoeconomics 2006; 24 (11): 1043–53PubMedCrossRef
18.
Zurück zum Zitat Weinstein MC, Coxon PG, Williams LW, et al. Forecasting coronary heart disease incidence, mortality, and cost: the coronary heart disease policy model. Am J Public Health 1907; 77 (11): 1417–26CrossRef Weinstein MC, Coxon PG, Williams LW, et al. Forecasting coronary heart disease incidence, mortality, and cost: the coronary heart disease policy model. Am J Public Health 1907; 77 (11): 1417–26CrossRef
19.
Zurück zum Zitat Hunink MG, Goldman L, Tosteson AN, et al. The recent decline in mortality from coronary heart disease, 1980–1990: the effect of secular trends in risk factors and treatment. JAMA 1997; 277 (7): 535–42PubMedCrossRef Hunink MG, Goldman L, Tosteson AN, et al. The recent decline in mortality from coronary heart disease, 1980–1990: the effect of secular trends in risk factors and treatment. JAMA 1997; 277 (7): 535–42PubMedCrossRef
20.
Zurück zum Zitat Simpson KN. Design and assessment of cost effectiveness studies in AIDS populations. JAIDS 1995; 10 Suppl. 4: S28–32 Simpson KN. Design and assessment of cost effectiveness studies in AIDS populations. JAIDS 1995; 10 Suppl. 4: S28–32
21.
Zurück zum Zitat Schulman KA, Lynn LA, Glick HA, et al. Cost-effectiveness of low-dose zidovudine therapy for asymptomatic patients with human immunodeficiency virus (HIV) infection. Ann Intern Med 1991; 114: 798–802PubMed Schulman KA, Lynn LA, Glick HA, et al. Cost-effectiveness of low-dose zidovudine therapy for asymptomatic patients with human immunodeficiency virus (HIV) infection. Ann Intern Med 1991; 114: 798–802PubMed
22.
Zurück zum Zitat Simpson K, Andersson F, Shakespeare A, et al. Cost effectiveness of antiviral treatment with zalcitabine in combination with zidovudine for AIDS patients with CD4 counts 300 per mm3 in five European countries. Pharmacoeconomics 1994; 6 (6): 553–62PubMedCrossRef Simpson K, Andersson F, Shakespeare A, et al. Cost effectiveness of antiviral treatment with zalcitabine in combination with zidovudine for AIDS patients with CD4 counts 300 per mm3 in five European countries. Pharmacoeconomics 1994; 6 (6): 553–62PubMedCrossRef
23.
Zurück zum Zitat Chancellor J, Hill A, Simpson K, et al. Cost effectiveness of 3TC and ZDV in patients with HIV-Disease. Pharmacoeconomics 1997; 12 (1): 1–13CrossRef Chancellor J, Hill A, Simpson K, et al. Cost effectiveness of 3TC and ZDV in patients with HIV-Disease. Pharmacoeconomics 1997; 12 (1): 1–13CrossRef
24.
Zurück zum Zitat Biddle AK, Simpson KN. Modeling the cost effectiveness of nevirapine triple combination therapy and dual combination therapy for the treatment of HIV disease in the United Kingdom. J Med Econ 1999; 2: 85–105CrossRef Biddle AK, Simpson KN. Modeling the cost effectiveness of nevirapine triple combination therapy and dual combination therapy for the treatment of HIV disease in the United Kingdom. J Med Econ 1999; 2: 85–105CrossRef
25.
Zurück zum Zitat Schackman BR, Goldie SJ, Weinstein MC, et al. Cost-effectiveness of earlier initiation of antiretroviral therapy for uninsured HIV-infected adults. Am J Public Health 2001; 91 (9): 1456–63PubMedCrossRef Schackman BR, Goldie SJ, Weinstein MC, et al. Cost-effectiveness of earlier initiation of antiretroviral therapy for uninsured HIV-infected adults. Am J Public Health 2001; 91 (9): 1456–63PubMedCrossRef
26.
Zurück zum Zitat Paltiel AD, Weinstein MC, Kimmel AD, et al. Expanded screening for HIV in the United States: an analysis of cost-effectiveness. N Engl J Med 2005; 352 (6): 586–95PubMedCrossRef Paltiel AD, Weinstein MC, Kimmel AD, et al. Expanded screening for HIV in the United States: an analysis of cost-effectiveness. N Engl J Med 2005; 352 (6): 586–95PubMedCrossRef
27.
Zurück zum Zitat Mauskopf J, Lacey L, Kempel A, et al. The cost effectiveness of treatment with lamivudine and zidovudine compared to zidovudine alone: a comparison of Markov model and trial data estimates. Am J Managed Care 1998; 4 (7): 1004–12 Mauskopf J, Lacey L, Kempel A, et al. The cost effectiveness of treatment with lamivudine and zidovudine compared to zidovudine alone: a comparison of Markov model and trial data estimates. Am J Managed Care 1998; 4 (7): 1004–12
28.
Zurück zum Zitat Phillips Z, Bojke L, Schulper M, et al. Good practice guidelines for decision-analytic modeling in health technology assessment. Pharmacoeconomics 2006; 24 (4): 355–71CrossRef Phillips Z, Bojke L, Schulper M, et al. Good practice guidelines for decision-analytic modeling in health technology assessment. Pharmacoeconomics 2006; 24 (4): 355–71CrossRef
30.
Zurück zum Zitat Garrison LP. The ISPOR good practice modeling principles: a sensible approach. Be transparent be reasonable. Value Health 2003; 6 (1): 6–8PubMedCrossRef Garrison LP. The ISPOR good practice modeling principles: a sensible approach. Be transparent be reasonable. Value Health 2003; 6 (1): 6–8PubMedCrossRef
Metadaten
Titel
Comparison of Markov Model and Discrete-Event Simulation Techniques for HIV
verfasst von
Prof. Kit N. Simpson
Alvin Strassburger
Walter J. Jones
Birgitta Dietz
Rukmini Rajagopalan
Publikationsdatum
01.02.2009
Verlag
Springer International Publishing
Erschienen in
PharmacoEconomics / Ausgabe 2/2009
Print ISSN: 1170-7690
Elektronische ISSN: 1179-2027
DOI
https://doi.org/10.2165/00019053-200927020-00006

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