Abstract
Cost-effectiveness analysis is an important topic in public health, which can provide valuable information for medical decisions. Several modeling methods are available for conducting cost-effectiveness analysis. However, it is difficult when the data is incomplete. To solve this problem, a Markov model is proposed to model patients’ health states transition, and two hybrid metaheuristics are proposed to estimate the transition probabilities. Based on the estimated transition probabilities, cost-effectiveness analysis is conducted to compare different medical interventions. Numerical experiments and case study validate the effectiveness and practicability of the proposed method. The case study gives the physicians effective instructions by comparing two different immunosuppressants after renal transplantation.
Similar content being viewed by others
References
Agur Z, Hassin R, Levy S (2006) Optimizing chemotherapy scheduling using local search heuristics. Oper Res 54:829–846
Baykasoğlu A, Gindy NN (2001) A simulated annealing algorithm for dynamic layout problem. Comput Oper Res 28:1403–1426
Bhatti AB, Usman M (2015) Chronic renal transplant rejection and possible anti-proliferative drug targets. Cureus 7(11):e376
Borie F, Combescure C, Daurès J-P, Trétarre B, Millat B (2004) Cost-effectiveness of two follow-up strategies for curative resection of colorectal cancer: comparative study using a Markov model. World J Surg 28:563–569
Briggs A, Claxton K, Sculpher M (2006) Further developments in decision analytic models for economic evaluation. Oxford University Press, New York, p 237
Cevik M, Ergun MA, Stout NK, Trentham-Dietz A, Craven M, Alagoz O (2015) Using active learning for speeding up calibration in simulation models. Med Decis Mak 36:581–593
Chakkera HA, Weil EJ, Pham P-T, Pomeroy J, Knowler WC (2013) Can new-onset diabetes after kidney transplant be prevented? Diabetes Care 36:1406–1412
Chu PC, Beasley JE (1997) A genetic algorithm for the generalised assignment problem. Comput Oper Res 24:17–23
Cole EH, Johnston O, Rose CL, Gill JS (2008) Impact of acute rejection and new-onset diabetes on long-term transplant graft and patient survival. Clin J Am Soc Nephrol 3:814–821
Dahabreh IJ, Wong JB, Trikalinos TA (2017) Validation and calibration of structural models that combine information from multiple sources. Expert Rev Pharmacoecon Outcomes Res 17:27–37
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evolut Comput 6:182–197
Dosiou C, Sanders GD, Araki SS, Crapo LM (2008) Screening pregnant women for autoimmune thyroid disease: a cost-effectiveness analysis. Eur J Endocrinol 158:841–851
Faris PD, Ghali WA, Brant R, Norris CM, Galbraith PD, Knudtson ML, Investigators A (2002) Multiple imputation versus data enhancement for dealing with missing data in observational health care outcome analyses. J Clin Epidemiol 55:184–191
Golberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addion Wesley, Boston, p 102
Goldstein DA et al (2015) Cost-effectiveness analysis of regorafenib for metastatic colorectal cancer. J Clin Oncol 33:3727
Graham DM, Isaranuwatchai W, Habbous S, De Oliveira C, Liu G, Siu LL, Hoch JS (2015) A cost-effectiveness analysis of human papillomavirus vaccination of boys for the prevention of oropharyngeal cancer. Cancer 121:1785–1792
Hardinger KL, Bohl DL, Schnitzler MA, Lockwood M, Storch GA, Brennan DC (2005) A randomized, prospective, pharmacoeconomic trial of tacrolimus versus cyclosporine in combination with thymoglobulin in renal transplant recipients. Transplantation 80:41–46
Hoos HH, Stützle T (2004) Stochastic local search: foundations and applications. Elsevier, Amsterdam
Hou MM, Gao F, Song HT, Xu YF (2009) Cost-effectiveness analysis of 2 immunosuppressive regimens for patients after renal transplantation. China Pharm (5):8
Hwang C-R (1988) Simulated annealing: theory and applications. Acta Applicandae Mathematicae 12:108–111
Jürgensen JS, Arns W, Haß B (2010) Cost-effectiveness of immunosuppressive regimens in renal transplant recipients in Germany: a model approach. Eur J Health Econ 11:15–25
Karnon J, Vanni T (2011) Calibrating models in economic evaluation. Pharmacoeconomics 29:51–62
Karnon J, Stahl J, Brennan A, Caro JJ, Mar J, Möller J (2012) Modeling using discrete event simulation a report of the ISPOR-SMDM modeling good research practices task force–4. Med Decis Mak 32:701–711
Kasiske BL, Snyder JJ, Gilbertson D, Matas AJ (2003) Diabetes mellitus after kidney transplantation in the United States. Am J Transpl 3:178–185
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simmulated annealing. Science 220:671–680
Knoll GA, Bell RC (1999) Tacrolimus versus cyclosporin for immunosuppression in renal transplantation: meta-analysis of randomised trials. BMJ 318:1104–1107
Kong CY, McMahon PM, Gazelle GS (2009) Calibration of disease simulation model using an engineering approach. Value Health 12:521–529
Levy AR et al (2014) Projecting long-term graft and patient survival after transplantation. Value Health 17:254–260
Li Y, Zhu M, Klein R, Kong N (2014) Using a partially observable Markov chain model to assess colonoscopy screening strategies—a cohort study. Eur J Oper Res 238:313–326
Marcén R (2009) Immunosuppressive drugs in kidney transplantation. Drugs 69:2227–2243
Mayer AD et al (1997) Multicenter randomized trial comparing TACROLIMUS (FK506) and cyclosporine in the prevention of renal allograft rejection1: a report of the European Tacrolimus Multicenter Renal Study Group. Transplantation 64:436–443
McEwan P, Baboolal K, Conway P, Currie CJ (2005) Evaluation of the cost-effectiveness of sirolimus versus cyclosporin for immunosuppression after renal transplantation in the United Kingdom. Clin Ther 27:1834–1846
Morales JM, Andres A, Rengel M, Rodicio JL (2001) Influence of cyclosporin, tacrolimus and rapamycin on renal function and arterial hypertension after renal transplantation. Nephrol Dial Transplant 16:121–124
Mortaz S, Wessman C, Duncan R, Gray R, Badawi A (2012) Impact of screening and early detection of impaired fasting glucose tolerance and type 2 diabetes in Canada: a Markov model simulation. ClinicoEcon Outcomes Res 4:91
Pirsch JD, Miller J, Deierhoi MH, Vincenti F, Filo RS (1997) A comparison of tacrolimus (FK506) and cyclosporine for immunosuppression after cadaveric renal transplantation. Transplantation 63:977–983
Rely K, Galindo-Suárez RM, Alexandre PK, García-García EG, Muciño-Ortega E, Salinas-Escudero G, Martínez-Valverde S (2012) Cost utility of sirolimus versus tacrolimus for the primary prevention of graft rejection in renal transplant recipients in Mexico. Value Health Reg Issues 1:211–217
Robinson R (1993) Cost-effectiveness analysis. BMJ 307:793–795
Siebert U et al (2012) State-transition modeling: a report of the ISPOR-SMDM modeling good research practices task force-3. Value Health 15:812–820
Taylor DC, Pawar V, Kruzikas D, Gilmore KE, Pandya A, Iskandar R, Weinstein MC (2010) Methods of model calibration. Pharmacoeconomics 28:995–1000
Vincenti F, Jensik SC, Filo RS, Miller J, Pirsch J (2002) A long-term comparison of tacrolimus (FK506) and cyclosporine in kidney transplantation: evidence for improved allograft survival at five years. Transplantation 73:775–782
Woodward RS, Flore MC, Machnicki G, Brennan DC (2011) The long-term outcomes and costs of diabetes mellitus among renal transplant recipients: tacrolimus versus cyclosporine. Value Health 14:443–449
Xiao X et al (2000) Survival analysis after kidney transplantation in 1,180 cadaveric graftings. Zhonghua wai ke za zhi [Chin J Surg] 38:578–581
Xie Y, Xin Z, Chen L (2011) Pharmacoeconomic evaluation of mycophenolate mofetil and enteric-coated mycophenalate sodium for immuno-suppression after renal transplantation. Chin Health Econ 3:047
Yu J, Shah BM, Ip EJ, Chan J (2013) A Markov model of the cost-effectiveness of pharmacist care for diabetes in prevention of cardiovascular diseases: evidence from Kaiser Permanente Northern California. J Managed Care Pharm 19:102–114
Zhang L et al (2012) Prevalence of chronic kidney disease in China: a cross-sectional survey. The Lancet 379:815–822
Zhu H-D, Zhong Y (2009) A kind of renewed simulated annealing algorithm. Comput Technol Dev 19:32–35
Acknowledgments
This work was supported by the National Natural Science Foundation of China. [Grant Nos. 71432006, 71471113, 61374095].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Wang, X., Geng, N., Qiu, J. et al. Markov model and meta-heuristics combined method for cost-effectiveness analysis. Flex Serv Manuf J 32, 213–235 (2020). https://doi.org/10.1007/s10696-019-09369-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10696-019-09369-0