The accuracy and spatial resolution of the measurement of tissue oxygen removal rate

Solution of an oxygen diffusion-absorption problem

The problem of oxygen diffusion into absorbing tissue is complex, and any attempt to model this process involves simplifications of the actual biological processes. Herein is presented a mathematical model of this problem, using cylindrically-shaped sections of tissue. Experimental data has been found for this problem in the literature, and good agreement is obtained for two cases using this model. It is shown that the truncation method is a useful and accurate method for solving oxygen diffusion-absorption problems. Furthermore, if enough experimental data is available, then some conclusions may be made concerning the boundary shapes and the absorption function obtained by modeling this data. These may possibly be used as predictive guidelines for other studies.