Control in Biological Systems and Medicine

Optimization of radiation therapy in a model for a heterogeneous population of tumor cells

V. K. Ivanov

Obninsk

Abstract: In terms of the state-of-art data of clinical radiobiology a mathematical model of X-ray therapy is designed which includes two different subpopulations of cancer cells; The method of Lagrangeans leads to an analytical (in a simple case) and a numerical solution of the optimal treatment control problem. Optimal procedures of fractioning radiation are studied for various dynamics of tumor cell distribution. Possible applicalions of the modeling results are discussed.

UDC: 53.072, 51, 615.849.1, 616-006


Received: 20.05.1985

 English version: Automation and Remote Control, 1986, 47:5, 678–683

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