The mathematical model of heat transfer in Matlab for device of cardiopulmonary by pass in cardiology

Abstract

The heat transfer models for device of cardiopulmonary bypass in the form of a system of ordinary differential equations are presented. The numerical model allows us to estimate the temperature of the process parameters of hypothermia and hyperthermia heart and to investigate changes in the gradient of the temperature on the surface of the myocardium at the time of registration of thermal images of the heart. The numerical model of heat transfer during extracorporeal circulation in the form of a system of ordinary differential equations was created. It allows to estimate the parameters of temperature propagation and temperature gradients at the surface of the myocardium at the time of registration of thermal images of the heart. Comparison of the model with real patients intraoperative infra-red thermography shows that this method can provide additional important information regarding temperature and vascularuniformity in time of myocardial cooling and heating. This method increasing safety of myocardium protection and assistive in solutions ofweaning from cardiopulmonary bypass.Запропоновано модель теплопередачі для пристрою штучного кровообігу у вигляді системи диференціальних рівнянь. Чисельна модель дозволяє оцінити температурні параметри гіпотермії і гіпертермії серця і досліджувати зміни градієнта температури на поверхні міокарда в момент реєстрації теплових зображень серця.