Mathematical Modeling of Pulsatile Blood Flow with Microbial Suspensions Under Magnetic Influence

Abstract

The research evaluates pulsatile blood flow mathematical modeling while applying both microbial suspensions and magnetic field conditions. A model uses blood as an incompressible Newtonian fluid combined with microbial suspensions to develop simulations matching real medical scenarios where microorganisms exist in bloodstream conditions. Blood flow models incorporate physiological pulses due to their vital role in healthcare but include magnetic features to examine how this force influences dynamic behaviors which healthcare applications utilize through targeted delivery systems and magnetic resonance capabilities. The model employs Navier-Stokes equations alongside microbial transport dynamics to evaluate parameters consisting of velocity profiles and pressure gradients and microbial distribution patterns across different magnetic field strengths. Analysis through numerical methods reveals how magnetic forces influence stability, energy use and microbial organization in a simulated system. The study demonstrates how magnetic fields modify flow patterns to create controlled bacterial suspension transport systems and reduce turbulence during selected operating configurations. Research findings show utility potential for biomedical developments focusing on magnetically steered drug methods along with microbial disease solutions and blood pressure analyses. The analysis reveals parameters which improve therapeutic effects through magnetic field optimization without harming blood flow integrity. The work establishes a practical connection between mathematical modeling and medical technology application to support experimental research and theoretical developments.