Mathematical model of left ventricle during the process of contraction

The paper is devoted to mathematical modeling of left ventricle (LV) work during contraction and blood ejection to the blood vessel system. As opposed to preceding works actual left ventricle contours obtained by means of ultrasonic investigation was used in the construction of a proposed model. In addition the algorithm of contraction was constructed in such a manner that the blood stream volume flowing from the model corresponded to the experimentally measured stream volume ejected through the LV outlet hole, whose diameter stayed constant. For this purpose the special model parameter was defined for control of the contraction process. The dependence of this parameter on time was obtained as a result of the integral equation in which the desired function entered both in explicit and implicit forms and also entered the variable limit of integration. This desired function was obtained by means of the special algorithm for numerical solution. As a result the integral characteristic of the contraction process was obtained which may be used as additional information of pathology cases of LV work. Bibliogr. 4. Il. 10.