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An open-loop approach to calculate noise-induced transitions

Maleki, Farzaneh and Becskei, Attila. (2017) An open-loop approach to calculate noise-induced transitions. Journal of Theoretical Biology. pp. 1-13.

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Abstract

Bistability permits the co-existence of two distinct cell fates in a population of genetically identical cells. Noise induced transitions between two fates of a bistable system are difficult to calculate due to the intricate interplay between nonlinear dynamics and noise in bistable positive feedback loops. Here we opened multivariable feedback loops at the slowest variable to obtain the open-loop function and the fluctuations in the open-loop output. By the subsequent reclosing of the loop, we calculated the mean first passage time (MFPT) using the Fokker-Planck equation in good agreement with the exact stochastic simulation. When an external component interacts with a feedback component, it amplifies the extrinsic noise in the loop. Consequently, the open-loop function is shifted and the transition rates between the two states in the closed loop are increased. Despite this shift, the open-loop output reflects the system faithfully to predict the MFPT in the feedback loop. Therefore, the open-loop approach can help theoretical analysis. Furthermore, the measurement of the mean value, variance, and the reaction time-scale of the open-loop output permits the prediction of MFPT simply from experimental data, which underscores the practical value of the stochastic open-loop approach.
Faculties and Departments:05 Faculty of Science > Departement Biozentrum > Computational & Systems Biology > Synthetic Microbiology (Becskei)
UniBasel Contributors:Maleki, Farzaneh and Becskei, Attila
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Elsevier
ISSN:0022-5193
e-ISSN:1095-8541
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:18 May 2018 11:15
Deposited On:20 Jul 2017 07:44

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