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Theoretical estimations of the destruction area of a brain tumor under photodynamic therapy

It's proposed reaction-diffusion mathematical model for evaluating efficiency and area of destruction of brain's tumor under photodynamic-laser therapy. The modeling is based on physical mechanism of tissue's effect by singlet oxygen, which display oxidizer's function. Kinetic description of process is proceeded from model of M.J.C. van Gemert, that was worked out diffusion's mechanism of oxygen's spreading in tissue. All calculations are carried out for red laser with wavelength 630 nm and photofrin2, as photosensitizer. The space-time dependencies of concentrations of possibility conditions of oxygen and photosensitizers are calculated. As was theoretical shown, effect of photodynamic destruction of tumor, particularly in brain, not depends from intensity of laser's irradiation, but depends from summation of dose, which is absorbed by tissue in all time of process. The temperature's effects in tumor, that accompany of photodynamic therapy, were calculated also.