Mathematical modeling of the interaction of magnetic fields of red blood cells

Abstract

Abstract The article discusses the movement of red blood cells along narrow capillaries with a diameter less than the diameter of the red blood cell. The erythrocyte membrane in the narrow capillary performs a tank-treating motion with a frequency reaching several tens of revolutions per second. Electric charges located on the surface of an erythrocyte move together with the erythrocyte membrane and create a magnetic field in the surrounding space. A two-dimensional model of the movement of red blood cells along narrow capillaries is developed. Various options were considered: either neighboring red blood cells rotate in one direction, or in different directions. With different options, different distributions of the magnetic field strength are obtained. Calculations of the magnetic field were carried out at various distances between red blood cells and the speed of rotation of the erythrocyte membrane. It was shown that at distances between red blood cells less than two capillary diameters, the influence of neighboring red blood cells can be neglected (the difference is less than 3%).