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calcium influx Related Publications

1 Closed Form Solution to problem of Calcium Diffusion in Cylindrical Shaped Neuron Cell

Authors: NEERU ADLAKHA, AMRITA TRIPATHI

Abstract:

Calcium [Ca2+] dynamics is studied as a potential form of neuron excitability that can control many irregular processes like metabolism, secretion etc. Ca2+ ion enters presynaptic terminal and increases the synaptic strength and thus triggers the neurotransmitter release. The modeling and analysis of calcium dynamics in neuron cell becomes necessary for deeper understanding of the processes involved. A mathematical model has been developed for cylindrical shaped neuron cell by incorporating physiological parameters like buffer, diffusion coefficient, and association rate. Appropriate initial and boundary conditions have been framed. The closed form solution has been developed in terms of modified Bessel function. A computer program has been developed in MATLAB 7.11 for the whole approach.

Keywords: reaction diffusion equation, diffusion coefficient, Laplace transform, Modified Bessel function, excess buffer, calcium influx

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