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

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