Mathematical modeling of the magnetic field generated by a network of parallel narrow capillaries

Abstract

Abstract A three-dimensional mathematical model was constructed that simulates the movement of red blood cells (RBCs) through narrow capillaries. The charges located on RBC membrane generate a magnetic field (MF) in the surrounding space. The movement of erythrocytes along a capillary network built from parallel narrow capillaries is considered. The distribution of magnetic field strength (MFS) in planes parallel to the plane of the capillary network has been constructed. In the plane of a parallel capillary network, the dependence of the maximum and minimum values of MFS on the distance between the centers of the capillaries has been determined. It is shown that as the distance between the capillaries decreases, the magnitude of MFS in the plane parallel to the plane in which the capillaries lie increases, and the difference between the maximum and minimum values of MFS decreases.