Modeling of oxygen transport in the human body

This work offers a three-dimensional model of erythrocyte motion in the capillary with an account for erythrocyte rolling, volume and e surface area. This model was used to study the motion of red blood cells in the capillary, considering membrane mobility, erythrocyte's shape and position in the capillary, as well as stability of the cell's volume and surface area. The study became a basis for numerical estimates and approximation formulas of the resistance exerted by erythrocytes while moving along the vessel, depending on microhemodynamical parameters (blood vessel diameter, plasma viscosity and erythrocyte content, Young's modulus, speed, cell's volume and surface area). We have developed a model of a red blood cell aggregation moving through capillary fragments, obtained numerical estimates of the blood flow and vascular resistance of the capillary network, estimated the approximation expression of pressure difference allowing for the blood flow and depending on the hematocrit, plasma viscosity, vessel diameter and length, intervals between red cells arriving in the capillary network, erythrocyte speed, volume, surface area and elastic characteristics...