Analytical Solutions of Nonlinear Differential Equations in the Mathematical Model for Inactivation of Nitric Oxide by Rat Cerebellar Slices

Narayanan Mehala; Lakshmanan Rajendran

doi:10.4236/ajac.2014.514099

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AJAC> Vol.5 No.14, October 2014

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Analytical Solutions of Nonlinear Differential Equations in the Mathematical Model for Inactivation of Nitric Oxide by Rat Cerebellar Slices

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DOI: 10.4236/ajac.2014.514099 3,165 Downloads 3,572 Views Citations

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Narayanan Mehala¹, Lakshmanan Rajendran²

Affiliation(s)

¹Department of Mathematics, K.L.N. College of Engineering, Sivagangai, India.
²Department of Mathematics, The Madura College, Madurai, India.

ABSTRACT

A mathematical model for the inactivation of nitric oxide by rat cerebellar slices under non-steady state condition has been analyzed. This diffusion-inactivation model was used to estimate the kinetics of NO consumption by the rat cerebellar slices. He’s Homotopy perturbation method is used to solve the first order nonlinear differential equations which describe the concentrations given by net of diffusion and inactivation by the slices. Analytical expressions for the concentration of nitric oxide have been derived for all values of parameters. The obtained analytical results are compared with the simulation results (Matlab/Scilab program) and are found to be in good agreement.

KEYWORDS

Cyclic Guanosine Monophosphate (CGMP), Inactivation, Mathematical Modeling, Nitric Oxide, Rat Cerebellar Slices

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Mehala, N. and Rajendran, L. (2014) Analytical Solutions of Nonlinear Differential Equations in the Mathematical Model for Inactivation of Nitric Oxide by Rat Cerebellar Slices. American Journal of Analytical Chemistry, 5, 908-919. doi: 10.4236/ajac.2014.514099.

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