Analysis of Variability of Complex Stochastic Oscillations in a Tristable Calcium Model

Irina Bashkirtseva () and Lev Ryashko
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Irina Bashkirtseva: Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, 620000 Ekaterinburg, Russia
Lev Ryashko: Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, 620000 Ekaterinburg, Russia

Mathematics, 2025, vol. 13, issue 7, 1-17

Abstract: Motivated by important biophysical applications, we study the stochastic version of a mathematical model of calcium oscillations. For the deterministic model proposed by Li and Rinzel, a parametric zone of tristability, where two stable equilibria and a limit cycle coexist, is found for the first time. In this zone, and also in adjacent bi- and monostability zones, different scenarios of noise-induced generation and suppression of complex calcium oscillations are studied in detail. In these studies, along with the traditional direct numerical simulation and statistical processing, a new analytical apparatus of the stochastic sensitivity technique and confidence domains is effectively used.

Keywords: mathematical modelling; calcium oscillations; multistability; stochastic sensitivity; confidence domains; stochastic preference (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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