Modeling the Dynamics of Substances within a Self-Consistent Model of a Systemic Circle of Blood Circulation

The considered model is based on quasi-one-dimensional equations of hemodynamics and a model of the convection-diffusion transfer of substances along a closed detailed graph of elastic vessels corresponding to systemic blood circulation. The complexity of the considered graph led to the further development of the used CVSS (cardiovascular simulating system) software package and the construction of new, detailed models that describe the functions of absorption and release of substances by organs and tissues. The obtained models enable us to conduct a series of numerical experiments that reproduce the process of the transfer of insulin and glucose in the systemic circulation.