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Application of the chemical master equation and its analytical solution to the illness-death model (2404.07238v1)
Published 9 Apr 2024 in physics.bio-ph, q-bio.PE, and stat.ME
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.
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