A theoretical model to study the influence of an external tilted magnetic field on interstitial fluid flow inside a cylindrical tumor with capillaries

A. Ghanbari and R. Khordad
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A. Ghanbari: Department of Physics, College of Sciences, Yasouj University, Yasouj 75918, Iran
R. Khordad: Department of Physics, College of Sciences, Yasouj University, Yasouj 75918, Iran

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 07, 1-16

Abstract: Interstitial fluid flow (IFF) and blood flow (BF) are analytically derived using the continuity and momentum equations for a cylindrical tumor. We considered a tumor as a rigid porous media with necrotic core, interstitial fluid and two capillaries. The capillaries have two pressures: arterial input and venous output. To describe BF within the capillaries and IFF inside tumor tissues, Poiseuille’s and Darcy’s laws are used. Here, we have divided the tumor into three parts. Our results show that the center of tumor has the maximum interstitial pressure. The pressure reduces toward the first capillary and between two capillaries. The reduction of pressure continues at the outside of the tumor. The effect of tilted external magnetic field is also studied. The results show that the field has a significant effect on the pressure. The magnetic field reduces the drug delivery at the center and exterior parts of the tumor. Furthermore, we have studied the effect of different parameters, such as interstitial resistance, magnetic field and necrotic core, on the interstitial pressure.

Keywords: Interstitial fluid pressure; tumors; magnetic field (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124502516

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