Wall Shear Stress Elevation on Smooth Muscle Cells in the Presence of Nonlinear Magnetic Field- 2D Numerical Simulation

It is known that production of the vascular mediators, prostaglandin E2 and prostaglandin 12 is affected by fluid flow shear stress on vascular smooth muscle cells (SMC). Metabolites of arachidonic acid (AA), PGE2 and PGI2, have been shown to play significant roles in regulating vasomotor tone. The production rates of prostaglandin PGI2 and PGE2 were used as markers of biochemical responsiveness of SMCs to fluid shear stress. A 2D model was developed to simulate interstitial fluid flow in the presence of nonlinear magnetic field, and to assess the importance of this flow on the wall shear stress (WSS) on SMCs. The magnetic field is arising from the thin wire with electric current placed vertically to the arterial blood vessel. A finite volume (FV) based model for viscous flow through a regular array of cylinders/fibers is employed for predicting the permeability associated with this type of media. Blood flow has been considered laminar and incompressible containing Ferro fluid (blood and 4 % vol. Fe304) under steady state conditions. This study indicates that applying a magnetic field increases the WSS along SMCs, in addition, this increment depends upon the position and intensity of the current.