Dynamic Modeling of Blood Flow and Pressure in the Cardiovascular System

Ashutosh Kumar Upadhyay

Abstract: The cardiovascular system is a complex network of blood vessels responsible for transporting vital nutrients, oxygen, and hormones throughout the body. In this paper, we presented a mathematical model for simulating blood flow and pressure in the cardiovascular system, integrating principles from fluid dynamics and vessel mechanics. The model incorporates the continuum equation and Navier - Stokes equations to describe fluid behavior, while considering the viscoelastic properties of vessel walls. Through computational simulations, we investigated the effects of varying blood density, vessel wall thickness, and elasticity on blood flow distribution and pressure gradients. Our findings provided insights into the physiological implications of fluid - structure interactions within the cardiovascular system, highlighting the importance of dynamic modeling in cardiovascular research and clinical practice.

Keywords: Cardiovascular system, Blood flow dynamics, Pressure distribution, Fluid - structure interactions, Dynamic modeling