Dynamic maximum entropy provides accurate approximation of structured population dynamics.

ABSTRACT: Realistic models of biological processes typically involve interacting components on multiple scales, driven by changing environment and inherent stochasticity. Such models are often analytically and numerically intractable. We revisit a dynamic maximum entropy method that combines a static maximum entropy with a quasi-stationary approximation. This allows us to reduce stochastic non-equilibrium dynamics expressed by the Fokker-Planck equation to a simpler low-dimensional deterministic dynamics, without the need to track microscopic details. Although the method has been previously applied to a few (rather complicated) applications in population genetics, our main goal here is to explain and to better understand how the method works. We demonstrate the usefulness of the method for two widel

SUBMITTER: Bod'ova K 

PROVIDER: S-EPMC8668141 | biostudies-literature | 2021 Dec

REPOSITORIES: biostudies-literature