[Mathematical modeling of thermal regulation in local hyperthermia].
A mathematical model for description of transient heating of biological tissue during the local hyperthermia is proposed. The model is based on the bioheat transfer equation and on equation of thermoregulation which represents integro-differential relationship between the local temperature and the local blood perfusion rate. One-dimensional electromagnetic heating of a semi-infinite homogeneous tissue volume and a local approximation of the problem are studied numerically and analytically. A possibility of the oscillatory local temperature response in return to local constant power heating is investigated for different forms of the thermoregulation equation. It is shown that long-time undamped temperature oscillations are predicted under assumption about memory's mechanism in blood flow regulation is accepted.
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D001833:Body Temperature Regulation; D004574:Electromagnetic Fields; D005334:Fever / Q000503:physiopathology*; D008962:Models, Theoretical
Matematicheskoe modelirovanie termoreguliatsii pri lokal'noĭ gipertermii.