Finite Volume Model to Study Calcium Diffusion in Neuron Involving JRYR, JSERCA and JLEAK

TL;DR

This paper develops a finite volume model to simulate calcium diffusion in neurons, incorporating receptor, SERCA, and leak mechanisms, and uses MATLAB to analyze calcium profiles and parameter interactions.

Contribution

It introduces a novel finite volume approach to model calcium dynamics in neurons including key biological parameters and boundary conditions.

Findings

Calcium profiles vary with different receptor and pump parameters.

The model successfully simulates calcium diffusion under biophysical boundary conditions.

Parameter interactions influence calcium signaling patterns.

Abstract

Calcium dynamics is the highly responsible for intracellular electrical (action potential) and chemical (neurotransmitter) signaling in neuron cell. The Mathematical modeling of calcium dynamics in neurons lead to the reaction diffusion equation which involves the parameters like diffusion coefficient, free calcium, bound calcium, buffers and bound buffer. Here the parameters like receptors, serca and leak are also incorporated in the model. Appropriate boundary conditions have been framed based on biophysical conditions of the problem. The finite volume method has been employed to obtain the solution. The computer program has been developed using MATLAB 7.11 for the entire problem to compute Ca2+ profiles and study the relationships among various parameters.