Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations
Molecular Networks
2015-05-28 v1
Abstract
We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic process, while reducing each biochemical quantity to a binary value at the level of individual cells. The system can be analytically represented by a finite set of ordinary linear differential equations, which provides a continuous time course prediction of each molecular state. In this letter, we introduce our formalism and demonstrate it with several examples.
Keywords
Cite
@article{arxiv.1107.4449,
title = {Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations},
author = {Shunsuke Teraguchi and Yutaro Kumagai and Alexis Vandenbon and Shizuo Akira and Daron M Standley},
journal= {arXiv preprint arXiv:1107.4449},
year = {2015}
}
Comments
10pages, 3 figures