Hawker, M, Cao, P, Kelly, RA, Sneyd, J and Siekmann, I (2025) A Ca2+ puff model based on integrodifferential equations. Journal of Mathematical Biology, 90. ISSN 0303-6812

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Abstract

The calcium signalling system is important for many cellular processes within the human body. Signals are transmitted within the cell by releasing calcium (Ca 2 + ) from the endoplasmic reticulum (ER) into the cytosol via clusters of Ca 2 + channels. Mathematical models of Ca 2 + release via inositol 1,4,5-trisphosphate receptors (IP3R) are used to compute Ca 2 + transients in regions that are difficult to measure directly. In particular, accounting for the data on Ca 2 + puffs as stochastic Ca 2 + release events in models remains challenging. Parameterising Markov models for representing the IP3R with steady-state single channel data obtained at fixed combinations of the ligands Ca 2 + and inositol-trisphosphate (IP3) has previously been demonstrated to be insufficient. However, by extending an IP3R model based on steady-state data with an integral term that incorporates the delayed response of the channel to varying Ca 2 + concentrations we succeed in generating realistic Ca 2 + puffs. By interpreting the integral term as a weighted average of Ca 2 + concentrations that extend over a time interval of length  τ into the past we conclude that the IP3R requires a certain amount of memory of past ligand concentrations.

Item Type:	Article
Uncontrolled Keywords:	Integrodifferential equations; Piecewise deterministic Markov processes; Stochastic calcium dynamics; Time delayed Markov models; Inositol 1,4,5-Trisphosphate Receptors; Calcium Signaling; Models, Biological; Humans; Markov Chains; Calcium; Inositol 1,4,5-Trisphosphate; Mathematical Concepts; Endoplasmic Reticulum; Animals; Computer Simulation; Stochastic Processes; 01 Mathematical Sciences; 06 Biological Sciences; Bioinformatics; 31 Biological sciences; 49 Mathematical sciences
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QH Natural history > QH301 Biology
Divisions:	Computer Science and Mathematics
SWORD Depositor:	A Symplectic
Date Deposited:	26 Mar 2025 16:40
Last Modified:	26 Mar 2025 16:45
DOI or ID number:	10.1007/s00285-025-02202-3
URI:	https://researchonline.ljmu.ac.uk/id/eprint/26008

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