How noise can generate calcium spike-type oscillations in deterministic equilibrium modes

Irina Bashkirtseva and Lev Ryashko
Phys. Rev. E 105, 054404 – Published 9 May 2022

Abstract

Stochastic excitability of spiking oscillatory regimes in the calcium kinetics is studied on the basis of the Li-Rinzel conceptual model. The probabilistic mechanisms of the noise-induced generation of large-amplitude oscillations in parametric zones, where the original deterministic model has only stable equilibria, are investigated numerically and analytically. A parametric statistical description of interspike intervals is curried out and the phenomenon of coherence resonance is discussed. For the analytical study of the stochastic excitement, the confidence domain method using a stochastic sensitivity technique is applied. In this analysis, a key role of mutual arrangement of the confidence ellipses and separatrices detaching the sub- and supercritical regions is demonstrated. It is shown that in the Li-Rinzel model such separatrices are the stable manifolds of the saddle equilibria and the transient semiattractors.

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  • Received 21 January 2022
  • Revised 13 March 2022
  • Accepted 20 April 2022

DOI:https://doi.org/10.1103/PhysRevE.105.054404

©2022 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsNonlinear DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

Irina Bashkirtseva* and Lev Ryashko

  • Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, Ekaterinburg, Russia

  • *Irina.Bashkirtseva@urfu.ru
  • Corresponding author: Lev.Ryashko@urfu.ru

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Issue

Vol. 105, Iss. 5 — May 2022

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