The Solution of a Two-dimensional Time-dependent Diffusion Problem Concerned with Oxygen Metabolism in Tissues

An approximate numerical solution of the diffusion equationin a semi-infinite two-dimensional domain is ibtained usingfa hopscotch technique. The solution describes the movement ofoxygen in a metabolizing medium covered by a finite layer ofanother non-metabolizing material. The initial condition isdetermined by the steady state resulting from a uniform concertrationof oxygen concerntration within a circular area r R in thebounding surface, and zero oxygen gradient normal to the surfaceforr > R. The time-dependence of oxygen flux into the circularares is obtained by an interpolation and integration method.