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arXiv · 1107.4449

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

Shunsuke Teraguchi·Yutaro Kumagai·Alexis Vandenbon·Shizuo Akira·Daron M Standley
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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.

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Shunsuke Teraguchi, Yutaro Kumagai, Alexis Vandenbon, Shizuo Akira, Daron M Standley. 2011-07-22. Stochastic Binary Modeling of Cells in Continuous Time as an Alternative to Biochemical Reaction Equations. https://doi.org/10.1103/physreve.84.062903

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