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Noise-induced bistability in a simple mutual inhibition system
Taichi Haruna1, Tomohiro Shirakawa2
1Department of Information and Sciences, School of Arts and Sciences, Tokyo Woman's Christian University, 2-6-1 Zempukuji, Suginami-ku, Tokyo 167-8585, Japan.
Physical Review. E
|September 19, 2023
Summary
This study reveals how noise can induce bistability in a mutual inhibition system. A transition from unimodal to bimodal probability density is shown to occur even with monotone external signals.
Area of Science:
- * Computational neuroscience and theoretical biology.
- * Focus on dynamical systems and stochastic processes.
Background:
- * Bistability, the presence of two stable states, is crucial in biological systems.
- * Understanding noise-induced transitions is key to explaining biological variability.
Purpose of the Study:
- * To establish a general condition for noise-induced bistability in a bivariate mutual inhibition system.
- * To investigate the mechanism behind this transition, particularly its occurrence with monotone external signals.
Main Methods:
- * Analysis of a simple bivariate mutual inhibition system with slow fluctuating responses.
- * Calculation of the mean first passage time to elucidate transition mechanisms.
- * Examination of marginal stationary probability density functions.
Main Results:
- * A general condition for the transition from unimodal to bimodal probability density is derived.
- * This transition is demonstrated to occur even when the response to external signals is monotone.
- * The mean first passage time analysis reveals the underlying mechanism for the observed bistability.
Conclusions:
- * Noise can robustly induce bistability in mutual inhibition systems, irrespective of signal monotonicity.
- * The identified transition mechanism is general and applicable to various biological contexts.
- * Further discussion on the genericity of this noise-induced bistability mechanism is provided.
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