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A 3D Fractional Step Computational Modeling of Nerve Impulse Transmission Through an Axonal Membrane: Incorporating Calcium Buffer and Extrusion

In: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author

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  • H. Lefraich

    (University Hassan First, Laboratory (MISI), Faculty of Sciences and Techniques, Department of Mathematics and Computer Science)

Abstract

A large number of cells, like neurons and muscle cells, make use of the membrane potential as a signal. In fact, the potential changes underlie the faculty of the nervous system to process and to transmit information. They also trigger the mechanical activity of effector cells (which can respond to a stimulus, especially a nerve impulse) such as muscles. However, their exact behavior is still not fully understood. A computational model that can relate the ionic concentrations to the propagation of the action potential will have great value in understanding the fundamental principles involved in electrical signaling, describing disease states and profiling the required characteristics of therapeutic agents. In this chapter a physically based 3D model of neuron signaling, that avoid the cable models simplifications, is presented and the propagation of an action potential along the axonal membrane is investigated by means of numerical simulations. A special focus was given to the evolution of the electrical potential and its dependency to ions concentrations, calcium buffer, and extrusion.

Suggested Citation

  • H. Lefraich, 2021. "A 3D Fractional Step Computational Modeling of Nerve Impulse Transmission Through an Axonal Membrane: Incorporating Calcium Buffer and Extrusion," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pages 315-332, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-73241-7_20
    DOI: 10.1007/978-3-030-73241-7_20
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