The mathematical modeling of optimal dose fields in radiotherapy of malignant tumors

The specificity of mathematical simulation of optimal dose fields in radiotherapy of malignant tumors is under consideration. The permissible dose field is set now for irradiated body as a system of linear limitations to the doses at control spots (CS) distributed in the lesion focus and in the healthy organs and tissues. An issue related with choosing an adequate number and method of CS distribution, based on uniform continuity of the dose field, is addressed in the paper. An iterative procedure of building the local CS networks is suggested. The method of linear programming (LP) can be used to select an optimal irradiation plan. A method of serial introduction of constraints, which cuts both the LP task scope and its computer-aided solution, is described.