Axial blood flow with medicated antimicrobial agents through stenotic aneurysmal arterial segment: An application to eccentric catheter injection with fractional model

• Published in: Zeitschrift für angewandte Mathematik und Mechanik Vol. 105; no. 5
• Main Authors: Mehmood, Obaid Ullah, Bibi, Sehrish, Nawaz, Momna, Naseer, Aamir
• Format: Journal Article
• Language: English
• Published: Weinheim Wiley Subscription Services, Inc 01.05.2025
• Subjects: Annular flow; Antimicrobial agents; Blood flow; Boundary conditions; Catheters; Cylindrical coordinates; Eccentricity; Mathematical analysis; Polar coordinates; Relaxation time; Segments; Shear stress
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.70022

Thread injection is a promising way for embedding clinical inserts inside the human body with minimal careful injury, which rouses the exploration of thread annular flow. The permeable thread is wound onto a spool and then injected into an arterial segment utilizing a pressure gradient. The infusion technique should be smooth, and lateral thread deviations ought to stay away from it. A mathematical analysis of the surgical approach for injecting catheters via a stenotic aneurysmal artery is the subject of this research. Medicated antimicrobial agents are characterized by hybrid nanoparticles, and the blood is treated as a fractional second‐grade fluid. Governing equations are formulated in the cylindrical polar coordinates along with boundary conditions. Limiting to the mild disease case, the issue is expressed in the form of a variation of the eccentricity parameter by a perturbation expansion. Our findings indicate that the axial velocity changes conversely along the catheter radius, eccentricity, and relaxation time. Axial velocity for the aneurysmal segment is higher than that of the stenosis segment. Contrary behavior of shear stress is observed on arterial and catheter walls. Moreover, the resistance impedance in the aneurysmal section is lower as compared to the stenotic segment. By exploring the use of medicated antimicrobial agents with eccentric catheter injection and fractional modeling, this investigation has the potential to transform the treatment of various vascular and cardiovascular conditions, leading to improved patient outcomes.