{"title":"Closed Form Solution to problem of Calcium Diffusion in Cylindrical Shaped Neuron Cell","authors":"Amrita Tripathi, Neeru Adlakha","country":null,"institution":"","volume":56,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1375,"pagesEnd":1379,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/12239","abstract":"Calcium [Ca2+] dynamics is studied as a potential form\r\nof neuron excitability that can control many irregular processes like\r\nmetabolism, secretion etc. Ca2+ ion enters presynaptic terminal and\r\nincreases the synaptic strength and thus triggers the neurotransmitter\r\nrelease. The modeling and analysis of calcium dynamics in neuron\r\ncell becomes necessary for deeper understanding of the processes\r\ninvolved. A mathematical model has been developed for cylindrical\r\nshaped neuron cell by incorporating physiological parameters like\r\nbuffer, diffusion coefficient, and association rate. Appropriate initial\r\nand boundary conditions have been framed. The closed form solution\r\nhas been developed in terms of modified Bessel function. A computer\r\nprogram has been developed in MATLAB 7.11 for the whole\r\napproach.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}