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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Irina Bashkirtseva & Lev Ryashko, 2025. "Analysis of Variability of Complex Stochastic Oscillations in a Tristable Calcium Model," Mathematics, MDPI, vol. 13(7), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1060-:d:1619736
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    References listed on IDEAS

    as
    1. Bao, Han & Rong, Kang & Chen, Mo & Zhang, Xi & Bao, Bocheng, 2023. "Multistability and synchronization of discrete maps via memristive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Chanu, Athokpam Langlen & Singh, R.K. Brojen & Jeon, Jae-Hyung, 2024. "Exploring the interplay of intrinsic fluctuation and complexity in intracellular calcium dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
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