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Myocyte growth and contraction are significantly influenced by Ca \(^{2+}\) signalling. Ca \(^{2+}\) diffusion, Ca \(^{2+}\) out flux through the pumps, Ca \(^{2+}\) in flux through the leak, and buffering processes are important factors to maintain the cytosolic Ca \(^{2+}\) concentration in cardiac myocytes. In the present work, the effect of various parameters like buffer, endoplasmic reticulum fluxes, and diffusion coefficient has been studied. Endoplasmic reticulum (ER) is a storehouse of free Ca \(^{2+}\) ions that holds a large quantity of Ca \(^{2+}\) . Buffers, on the other hand, bind free Ca \(^{2+}\) ions and reduce the density of free Ca \(^{2+}\) ions. A mathematical model is developed to study their parameters in the form of reaction-diffusion equation. The effect of buffer concentration and ER fluxes on cytosolic calcium concentration has been found significant. The proposed model is based on a second-order linear differential equation with appropriate initial and boundary conditions. The finite volume method has been employed to obtain the solution. MATLAB is being used to perform the simulation and obtain the graph.

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Exploring Ca \(^{2+}\) Distribution Within Cardiac Myocytes in the Presence of Excess Buffer: A Finite Volume Approach

  • 会议论文

  • 发表日期：

    2025年

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  • Jay Jani,
  • Brajesh Kumar Jha

摘要

Myocyte growth and contraction are significantly influenced by Ca \(^{2+}\) signalling. Ca \(^{2+}\) diffusion, Ca \(^{2+}\) out flux through the pumps, Ca \(^{2+}\) in flux through the leak, and buffering processes are important factors to maintain the cytosolic Ca \(^{2+}\) concentration in cardiac myocytes. In the present work, the effect of various parameters like buffer, endoplasmic reticulum fluxes, and diffusion coefficient has been studied. Endoplasmic reticulum (ER) is a storehouse of free Ca \(^{2+}\) ions that holds a large quantity of Ca \(^{2+}\) . Buffers, on the other hand, bind free Ca \(^{2+}\) ions and reduce the density of free Ca \(^{2+}\) ions. A mathematical model is developed to study their parameters in the form of reaction-diffusion equation. The effect of buffer concentration and ER fluxes on cytosolic calcium concentration has been found significant. The proposed model is based on a second-order linear differential equation with appropriate initial and boundary conditions. The finite volume method has been employed to obtain the solution. MATLAB is being used to perform the simulation and obtain the graph.