Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations

Details Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations

2011-07-22

arxiv.org/abs/1107.4449v1

Biology

Quantitative Biology

Molecular Networks

10pages, 3 figures

Scientific paper

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.

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