A computational solution of mathematical model for oxygen transport in peripheral nerve.

Time-dependent transport of oxygen in a peripheral nerve by simulating oxygen release, diffusion, chemical reactions and consumption in capillaries and surrounding peripheral nerve tissue using Krogh cylinder symmetry has been studied. Radial diffusion of oxygen is from a capillary to a surrounding cylinder tissue and axial diffusion to arterial distance to veins. A monoexponential or bioexponential function characterizes the approach of the oxygen tension to a new value. The time-dependent transport of oxygen in peripheral nerve with forward and backward reactions has been considered in this mathematical model which makes it different from earlier-studied models. A numerical technique has been used to find the solution.