de la Cruz, R;
Perez-Carrasco, R;
Guerrero, P;
Alarcon, T;
Page, KM;
(2018)
Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States.
Physical Review Letters
, 120
, Article 128102. 10.1103/PhysRevLett.120.128102.
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Abstract
Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Transitions 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 nonlocally 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.
| Type: | Article |
|---|---|
| Title: | Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.120.128102 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.120.128102 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, MAMMALIAN-CELL CYCLE, LECAR NEURON MODEL, CIRCADIAN OSCILLATIONS, GENE-EXPRESSION, NOISE, SYSTEMS, BIFURCATIONS, SIMULATION, DROSOPHILA, NETWORK |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1559018 |
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