Numerical Algorithm of Effective Cancer Treatment Based on the Fisher-Kolmogorov Equation

An inverse extremal problem for the Fisher-Kolmogorov model of tumor growth is studied. It is required to minimize the normalized density of tumor cells in a given subdomain, while the drug concentration in the tissue must be limited to specified values. The solvability of the inverse extremal problem is established. An algorithm to find its solution is constructed. The numerical experiments illustrate its efficiency.