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A Ca2+ puff model based on integrodifferential equations.

Molly Hawker1, Pengxing Cao2, Ross A Kelly3,4

  • 1School of Computer Science and Mathematics, Liverpool John Moores University, 3 Byrom Street, Liverpool, Merseyside, L3 3AF, UK. molly@jungledog.co.uk.

Journal of Mathematical Biology
|March 25, 2025
PubMed
Summary
This summary is machine-generated.

Mathematical models of calcium (Ca2+) release through inositol 1,4,5-trisphosphate receptors (IP3R) can now simulate realistic Ca2+ puffs. This is achieved by incorporating a memory term reflecting past calcium concentrations, improving cellular signaling models.

Keywords:
Integrodifferential equationsPiecewise deterministic Markov processesStochastic calcium dynamicsTime delayed Markov models

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Area of Science:

  • Cellular Biology
  • Biophysics
  • Mathematical Modeling

Background:

  • Calcium signaling is crucial for cellular processes, involving calcium release from the endoplasmic reticulum (ER) via IP3R channels.
  • Modeling calcium transients and stochastic events like Ca2+ puffs is essential but challenging.
  • Previous models using steady-state data for IP3R parameterization were insufficient.

Purpose of the Study:

  • To develop improved mathematical models for calcium release through IP3R.
  • To accurately simulate stochastic calcium release events (Ca2+ puffs).
  • To investigate the role of ligand concentration history in IP3R function.

Main Methods:

  • Extension of existing IP3R Markov models with an integral term.
  • Incorporation of a delayed response to calcium concentration variations.
  • Parameterization using steady-state single-channel data and analysis of the integral term's properties.

Main Results:

  • The extended model successfully generates realistic Ca2+ puffs.
  • The integral term represents a weighted average of past calcium concentrations.
  • The model suggests IP3R exhibits a memory of past ligand concentrations.

Conclusions:

  • A novel integral term in IP3R models enhances the simulation of Ca2+ puffs.
  • IP3R channel activity is influenced by the history of calcium concentrations.
  • This finding improves the accuracy of mathematical models for cellular calcium signaling.