Advanced Hemodynamic Modeling of Pulsatile Blood Flow with MagneticNano-particles: Fractional Analysis for Optimizing Biomedical Applications

Abstract

Hemodynamic analysis plays a crucial role in the prevention,
diagnosis, and treatment of human vascular diseases. The use of mag-netic
particles in biomedicine and clinical therapies for targeted drug de-livery
within cells provides simple diagnostic tools. In this article we will study the
periodic pulsatile blood flow in the femoral and coronary ar-teries using
nano-particles. Based on experimental data regarding blood rheology, the
study employs the constitutive equation of an Oldroyd-B fluid. Moreover
to capture more control, the problem is modeled using the ABC fractional
derivative operator and solved through the application of integral transforms.
Furthermore, a comprehensive graphical analysis is conducted to understand
the influence of the fractional order parame-ter and various material factors,
such as amplitude, lead angle, frequency of body acceleration, magnetic field,
particle concentration, and tempera-ture effects, leading to significant
conclusions. The obtained results help to optimize targeted drug delivery to
infected tissues, and hyperthermia treatments.