Modeling of blood microcirculation, heat and mass transfer in human tissues

A mathematical model of the structure of the blood vessels system which provides blood microcirculation in the superficial tissues of human, namely the skin, to provide blood supply as a fluid, which heats / cools, and determines thermoregulation in changes of ambient temperature and overheating / supercooling is proposed. The model is based on data from current studies of the structure of microcirculatory beds based on microCT technologies. The microvascular system is modeled as a fractal binary tree optimized for uniform supply of a nutrient fluid (blood for biological tissues) due to the homogeneous distribution of capillaries, optimal values for diameters, lengths and branching angles in bifurcations of tubes that provide flow distribution with minimal energy costs. The model has been developed to use in computer-based monitoring systems for the planning of physiotherapy procedures for different diseases.Key words: optimal fluid transport systems, microcirculation, mathematical modeling. Pages of the article in the issue: 58-61Language of the article: UkrainianA mathematical model of the structure of the blood vessels system which provides blood microcirculation in the superficial tissues of human, namely the skin, to provide blood supply as a fluid, which heats / cools, and determines thermoregulation in changes of ambient temperature and overheating / supercooling is proposed. The model is based on data from current studies of the structure of microcirculatory beds based on microCT technologies. The microvascular system is modeled as a fractal binary tree optimized for uniform supply of a nutrient fluid (blood for biological tissues) due to the homogeneous distribution of capillaries, optimal values for diameters, lengths and branching angles in bifurcations of tubes that provide flow distribution with minimal energy costs. The model has been developed to use in computer-based monitoring systems for the planning of physiotherapy procedures for different diseases.Key words: optimal fluid transport systems, microcirculation, mathematical modeling.Pages of the article in the issue: 58 - 61Language of the article: Ukrainia