Mathematical Model on the Function of Kidney in Reference to a Peristaltic Moment

Sathisha A B; Ashwini M Rao; Basavarajappa K S; Katiyar V K

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P505

Mathematical Model on the Function of Kidney in Reference to a Peristaltic Moment

Sathisha A B, Ashwini M Rao, Basavarajappa K S, Katiyar V K

Citation :

Sathisha A B, Ashwini M Rao, Basavarajappa K S, Katiyar V K, "Mathematical Model on the Function of Kidney in Reference to a Peristaltic Moment," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 43-50, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P505

Abstract

In the present paper, mathematical approach on kidney’s function with a reference to physiological flow parameters is studied. The case of mass transfer due to peristaltic response is analyzed in the model so as to obtain mass average velocity, concentrations based on the wall moment of the ascending limb and descending limb. It is to compute the response of normal and abnormal flow corresponding to the mass average velocity. Equations of motion for biological viewpoint describe Henle’s loop which acts as counter current exchanger. Analytical solutions are presented for obtaining the mass average velocity, concentration of metabolic mass transfer in the function of kidney. Numerical results show the response of the function of kidney which give the evidence of the transposed mass in the kidney measurable mathematically.

Keywords

Kidney, Peristaltic, flow, moment.

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