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arXiv · 1705.08683

Minimum Action Path theory reveals the details of stochastic biochemical transitions out of oscillatory cellular states

Roberto de la Cruz·Ruben Perez-Carrasco·Pilar Guerrero·Tomas Alarcon·Karen M. Page
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Abstract

Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Tran- sitions between such states are studied as noise-driven escape problems in the chemical species space. Escape can occur via multiple possible multidimensional paths, with probabilities depending non-locally on the noise. Here we characterize the escape from an oscillatory biochemical state by minimizing the Freidlin-Wentzell action, deriving from it the stochastic spiral exit path from the limit cycle. We also use the minimized action to infer the escape time probability density function.

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Roberto de la Cruz, Ruben Perez-Carrasco, Pilar Guerrero, Tomas Alarcon, Karen M. Page. 2017-05-24. Minimum Action Path theory reveals the details of stochastic biochemical transitions out of oscillatory cellular states. https://doi.org/10.1103/physrevlett.120.128102

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