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

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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• Thermodynamics of switching in multistable non-equilibrium systems
• Quasi-potential Calculation and Minimum Action Method for Limit Cycle
• Comment on "Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States"