Mathematical modeling of regulatory mechanisms of cardiological pathologies in the tumor process

Abstract

The article considers mathematical modeling of regulatory mechanisms of the cardiovascular system, based on the method of functional differential equations of cardiac regulation and equations for the quantitative description of blood movement in vessels and tissues using the reduced Navier-Stokes equations and the equations of active and passive transfers in normal and in case of tumor processes in human organs. The results of computational experiments showed the presence of five areas of functioning: a trivial attractor, stationary mode, stable oscillations with a constant period, irregular oscillations (a risk zone for life-threatening arrhythmias during chemical and radiation therapy) and a “black hole” (sudden cardiac death during antitumor treatment).