Population balance modeling is considered for cell populations in gene regulatory processes in which one or more intracellular variables undergo stochastic dynamics as determined by Ito stochastic differential equations. This paper addresses formulation and computational issues with sample applications to the spread of drug resistance among bacterial cells. It is shown that predictions from population balances can display qualitative differences from those made with single cell models which are usually encountered in the literature. Such differences are deemed to be important.
Bibliographical noteFunding Information:
The work is supported by a grant from NIH ( GM081888 ) to WSH.
- Biological and biomolecular engineering
- Drug resistance transfer
- Gene regulatory processes
- Mathematical modeling
- Population balance