Phenomenological cluster-based model of Ca2+ waves and oscillations for inositol 1,4,5-trisphosphate receptor (IP3R) channels

Svitlana Braichenko, Atul Bhaskar, and Srinandan Dasmahapatra
Phys. Rev. E 98, 032413 – Published 21 September 2018
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Abstract

Clusters of IP3 receptor channels in the membranes of the endoplasmic reticulum of many nonexcitable cells release calcium ions in a cooperative manner giving rise to dynamical patterns such as Ca2+ puffs, waves, and oscillations that occur on multiple spatial and temporal scales. We introduce a minimal yet descriptive reaction-diffusion model of IP3 receptors for a saturating concentration of IP3 using a principled reduction of a detailed Markov chain description of individual channels. A dynamical systems analysis reveals the possibility of excitable, bistable, and oscillatory dynamics of this model that correspond to three types of observed patterns of calcium release: puffs, waves, and oscillations, respectively. We explain the emergence of these patterns via a bifurcation analysis of a coupled two-cluster model, compute the phase diagram, and quantify the speed of the waves and period of oscillations in terms of system parameters. We connect the termination of large-scale Ca2+ release events to IP3 unbinding or stochasticity.

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  • Received 14 November 2017
  • Revised 29 March 2018

DOI:https://doi.org/10.1103/PhysRevE.98.032413

©2018 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living Systems

Authors & Affiliations

Svitlana Braichenko* and Atul Bhaskar

  • Faculty of Engineering and the Environment, University of Southampton, SO17 1BJ Southampton, United Kingdom

Srinandan Dasmahapatra

  • School of Electronics and Computer Science, University of Southampton, SO17 1BJ Southampton, United Kingdom

  • *Corresponding author: braichenko.svitlana@gmail.com

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Issue

Vol. 98, Iss. 3 — September 2018

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