Application of different approaches to generate virtual patient populations for the quantitative systems pharmacology model of erythropoiesis

J Pharmacokinet Pharmacodyn. 2022 Oct;49(5):511-524. doi: 10.1007/s10928-022-09814-y. Epub 2022 Jul 7.

Abstract

In a standard situation, a quantitative systems pharmacology model describes a "reference patient," and the model parameters are fixed values allowing only the mean values to be described. However, the results of clinical trials include a description of variability in patients' responses to a drug, which is typically expressed in terms of conventional statistical parameters, such as standard deviations (SDs) from mean values. Therefore, in this study, we propose and compare four different approaches: (1) Monte Carlo Markov Chain (MCMC); (2) model fitting to Monte Carlo sample; (3) population of clones; (4) stochastically bounded selection to generate virtual patient populations based on experimentally measured mean data and SDs. We applied these approaches to generate virtual patient populations in the QSP model of erythropoiesis. According to the results of our research, stochastically bounded selection showed slightly better results than the other three methods as it allowed the description of any number of patients from clinical trials and could be applied in the case of complex models with a large number of variable parameters.

Keywords: Distribution; Fitting; Mean; Quantitative systems pharmacology; Standard deviation; Virtual patients population.

MeSH terms

  • Erythropoiesis*
  • Humans
  • Markov Chains
  • Monte Carlo Method
  • Network Pharmacology*