Magnetic field modulation of electroosmotic-peristaltic flow in tumor microenvironment

Tumors have garnered significant attention in medical research for disrupting blood flow and lymphatic drainage, forming irregular vasculature that alters transport mechanisms, affecting disease progression and treatment strategies. Additionally, tumor growth affects the peristaltic transport, which plays a crucial role in regulating physiological flows within the tumor microenvironment. The interaction of electric and magnetic fields with peristaltic flow can significantly alter the fluid behavior in these conditions. Modeling of peristaltic transport in tumor microenvironment under electroosmotic flow and magnetic fields requires understanding several interactions: peristaltic motion of the surrounding tissue, electroosmotic effects from charged particles in fluid and walls, and magnetohydrodynamic interactions influencing fluid flow under an external magnetic field. The present study aims to investigate the peristaltic flow under a tumor microenvironment in the presence of externally applied electric and magnetic fields using a mathematical model. An analytical method is used to find the exact solutions of the coupled system of governing equations by applying the lubrication approach and the Debye–Hückel linearization. Furthermore, the results are simulated computationally by using MATLAB. The findings reveal that a higher Hartmann number intensifies magnetic resistance, reducing peristaltic flow, whereas electric fields enhance fluid transport by overcoming this resistance. Additionally, an increase in tumor size and shape further restricts fluid movement, highlighting the obstruction effects of tumor growth. Overall, the present work provides new insights into the combined influence of electroosmosis and magnetohydrodynamics on peristaltic transport within tumor environments. These findings have potential applications in controlling and modulating the physiological fluid flow for improved therapeutic delivery and diagnostics.