Heat Transfer in Biological Spherical Tissues during Hyperthermia of Magnetoma

Abstract

Hyperthermia therapy is now being used to treat cancer. However, understanding the pattern of temperature increase in biological tissues during hyperthermia treatment is essential. In recent years, many physicians and engineers have studied the use of computational and mathematical models of heat transfer in biological systems. The rapid progress in computing technology has intrigued many researchers. Many medical procedures also use engineering techniques and mathematical modeling to ensure their safety and assess the risks involved. One such model is the modified Pennes bioheat conduction equation. This paper provides an analytical solution to the modified Pennes bioheat conduction equation with a single relaxation time by incorporating in it the (MGT) equation. The suggested model examines heat transport in biological tissues as forming an infinite concentric spherical region during magnetic fluid hyperthermia. To investigate thermal reactions caused by temperature shock, specifically the influence of heat generation through heat treatment on a skin tumor [AEGP9], the Laplace transformation, and numerical inverse transformation methods are used. This model was able to explain the effects of different therapeutic approaches such as cryotherapy sessions, laser therapy, and physical occurrences, transfer, metabolism support, and blood perfusion. Comparison of the numerical results of the suggested model with those in the literature confirmed the validity of the model’s numerical results.

Mathematical modeling of heat transfer in tissues with skin tumor during thermotherapy

“…However, the authors propose a different perspective by considering the human skin as an elastic material, which better represents the physical reality. We assume that a spherical cancer tissue of radius 0.02 m [ 53 ] is imbedded in healthy skin tissue. To investigate the heat transmission in both the healthy and tumor cells within the cutaneous areas of the human skin, the authors employ the generalized thermoelasticity model.…”

“…To investigate the heat transmission in both the healthy and tumor cells within the cutaneous areas of the human skin, the authors employ the generalized thermoelasticity model. The thermophysical properties of human skin and blood that were used in the numerical computations are listed in Table 1 [ 53 ]. The initial temperature is set at T 0 = 37° c and the thermal relaxation time τ 0 = 2 s.…”

“…The cancer is assumed to be a solid sphere with radius R inside the normal skin tissue as shown in Fig 1 [ 53 ].…”

“…In addition, the physical and thermal properties of the tumor tissue are assumed to be uniform along the radial direction. These assumptions lead to the simplification of the differential equation system into a 1D form (radial direction), that captures essential aspects of the biological thermal response during heat therapy on spheroidal skin tumor while minimizing computational complexity [ 53 , 58 ]. The skin can be considered as a laminated composite structure, where each layer is assumed to be a homogeneous material with linear thermoelastic properties [ 59 ].…”

Computational Modeling of Microwave Tumor Ablation

“…The modeling of heat transport in biological tissues must include tissue heat exchange, blood-tissue convection, blood perfusion, and metabolic heat production [ 72 ]. Heat transport in tissues can be considered from different viewpoints: Molecular, microscopic, or macroscopic [ 73 ].…”