Beyond the chemical master equation: Stochastic chemical kinetics coupled with auxiliary processes.

ABSTRACT: The chemical master equation and its continuum approximations are indispensable tools in the modeling of chemical reaction networks. These are routinely used to capture complex nonlinear phenomena such as multimodality as well as transient events such as first-passage times, that accurately characterise a plethora of biological and chemical processes. However, some mechanisms, such as heterogeneous cellular growth or phenotypic selection at the population level, cannot be represented by the master equation and thus have been tackled separately. In this work, we propose a unifying framework that augments the chemical master equation to capture such auxiliary dynamics, and we develop and analyse a numerical solver that accurately simulates the system dynamics. We showcase these contributions

SUBMITTER: Lunz D 

PROVIDER: S-EPMC8352075 | biostudies-literature | 2021 Jul

REPOSITORIES: biostudies-literature