Heat Exchange Within the Surrounding Biological Tissue During Magnetic Hyperthermia

Abstract

The paper deals with mathematical modeling and theoretical study of the heat distribution within the surrounding biological tissue during the effect of the magnetic hyperthermia. The mathematical model is formulated and solved numerically by using the finite difference method. The intensity of heat production is used in the present model. The obtained results allow predicting the temperature change in tumor as well as in the surrounding tissue depending on intensity of the tumor heating.

Magnetic Nanomaterials for Arterial Embolization and Hyperthermia of Parenchymal Organs Tumors: A Review

“…The future challenge lies in developing mathematical heat transfer models in tumors and their surrounding biological tissue to preserve healthy tissue [145].…”

Effect of ring-shaped clusters on magnetic hyperthermia: modelling approach

“…Magnetic hyperthermia (MH) is a promising method of treating tumours (including cancers) [1][2][3][4][5][6][7]. The key idea of this method is the injection of biologically intact magnetic nanoparticles into the tumour region 2021 The Author(s) Published by the Royal Society.…”

“…sin 4γ cos2 γ M z 3 + (12cos 2 γ cos 2 2γ − 1)M x 4 + 6cos 2 γ sin 4γ M z (3cos 2 γ − 1)M x 5 + 3 2 sin 2γ M z 5 , H int y i = − 1 24 j+1 j M y j , i = j = 1, 2, . .…”