Closed-form stochastic solutions for non-equilibrium dynamics and inheritance of cellular components over many cell divisions.

ABSTRACT: Stochastic dynamics govern many important processes in cellular biology, and an underlying theoretical approach describing these dynamics is desirable to address a wealth of questions in biology and medicine. Mathematical tools exist for treating several important examples of these stochastic processes, most notably gene expression and random partitioning at single-cell divisions or after a steady state has been reached. Comparatively little work exists exploring different and specific ways that repeated cell divisions can lead to stochastic inheritance of unequilibrated cellular populations. Here we introduce a mathematical formalism to describe cellular agents that are subject to random creation, replication and/or degradation, and are inherited according to a range of random dynamics at

SUBMITTER: Johnston IG 

PROVIDER: S-EPMC4550007 | biostudies-literature | 2015 Aug

REPOSITORIES: biostudies-literature