THE SOLUTION OF MATHEMATICAL MODEL FOR TRANSPORT OF OXYGEN IN PERIPHERAL NERVE WITH THE FIRST-ORDER CHEMICAL KINETICS USING FINITE-DIFFERENCE TECHNIQUE DURING PRANAYAMA Page No: 1567-1571

Sarita Singh, V K Katiyar and P Pradhan

Keywords: Nerve oxygen consumption, peripheral nerve, oxygen transport, tissue, forward and backward reaction, first order chemical kinetics.

Abstract: We modeled time dependent transport of oxygen in peripheral nerve by the simulation of steady-state oxygen tension, diffusion, chemical reactions and consumption of oxygen in capillaries using Krogh cylinder symmetry. These parameters were assumed to change rapidly to new. To characterize the approach of the oxygen tension to a new value, a monoexponential function is defined. Diffusion of oxygen is radial from capillary to a surrounding cylinder tissue and from arterial distance to veins, diffusion is axial. The time-dependent transport of oxygen is peripheral nerve with forward and backward reactions including first-order chemical kinetics has been considered, which makes this model different from the earlier studied models. We used Finite difference technique for the solution of this model.



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