English

Application of the chemical master equation and its analytical solution to the illness-death model

Biological Physics 2024-04-12 v1 Populations and Evolution Methodology

Abstract

The aim of this article is relating the chemical master equation (CME) to the illness-death model for chronic diseases. We show that a recently developed differential equation for the prevalence directly follows from the CME. As an application, we use the theory of the CME in a simulation study about diabetes in Germany from a previous publication. We find a good agreement between the theory and the simulations.

Keywords

Cite

@article{arxiv.2404.07238,
  title  = {Application of the chemical master equation and its analytical solution to the illness-death model},
  author = {Ralph Brinks},
  journal= {arXiv preprint arXiv:2404.07238},
  year   = {2024}
}

Comments

7 pages, 4 figures