Medical Radiology and Radiation Safety. 2015. Vol. 60. No. 1. P. 54-61

RADIATION PHYSICS, TECHNOLOGY AND DOSIMETRY

L.Ya. Klepper

Formation Optimum Doses Fields in Interstitial Radiotherapy as the Problem of the Covering of the Target by Circles of Identical Radius

Central Economic Mathematical Institute of RAS, Moscow, Russia, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. This email address is being protected from spambots. You need JavaScript enabled to view it.

ABSTRACT

The purpose of work consists in description of the problem of optimum sources accommodation in a target at interstitial radiotherapy of malignant tumor by methods of the «Parisian grid» and methods of optimum sources accommodation which are reduced to problems of an optimum covering of a target by identical circles of the minimal radius. Connection between two methods is tracked. It is shown, that particular decisions can be equivalent to the «Parisian grid» method. Examples of the problem decision and the analysis of the decisions received are presented.

Key words: interstitial radiotherapy, optimum distribution of intrastats

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For citation: Klepper LYa. Formation Optimum Doses Fields in Interstitial Radiotherapy as the Problem of the Covering of the Target by Circles of Identical Radius. Medical Radiology and Radiation Safety. 2015;60(1):54-61. Russian.

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