Mathematical Modeling of Blood Flow for a Diseased Model with Therapeutic Nanoparticles

TL;DR

This paper develops a mathematical model to analyze blood flow and nanoparticle dispersion in diseased arteries, aiming to improve targeted drug delivery using nanotechnology.

Contribution

It introduces a non-Newtonian blood flow model incorporating nanoparticles and solves it using perturbation methods with permeable boundary conditions.

Findings

Flow characteristics like wall shear stress and pressure are analyzed.

Nanoparticle dispersion behavior in blood flow is characterized.

Insights into nanoparticle interaction with physiological factors are provided.

Abstract

The use of nanoparticles for targeted drug delivery, especially in diseased arteries, is a novel procedure. We are incorporating nanoparticles into blood vessels using a catheter, which could potentially deliver drugs precisely to affected areas, reducing side effects and increasing treatment efficiency. Considering non-Newtonian fluid modeling because blood is a complex fluid with non-linear behavior. In this paper, we are using mathematical modeling to understand blood flow dynamics, temperature, and concentration dispersion, which can provide valuable insights into the behavior of therapeutic nanoparticles in the bloodstream. The perturbation method is used to solve the complex mathematical model with permeable flow boundary conditions. We are investigating flow field characteristics including wall shear stress, pressure, and impedance to understand how nanoparticles disperse and interact with different physiological aspects. In conclusion, the proposed study focuses on the use of nanotechnology and mathematical modeling to understand the effects of therapeutic nanoparticles in diseased arteries, which is an important and valuable contribution to the medical field.