Numerical model of biological tissue heating using the models of bio–heat transfer with delays

The human body is made by 200 different types of cells, which are separated by voids. Blood supplies the nutrients and minerals to all cells within the tissue through these voids. The breast tissue is treated as a porous media in the study. Tumor includes the vascular (blood) and the extra-vascular (solid) regions. The porosity of a tumor is higher than normal tissue. The present work deals with the temperature variation of normal and tumorous breast tissue based on porous media. The finite element method is used to solve the two-dimensional bio-heat equation. The results show that the temperature profile of normal breast tissue in the porous media model is almost identical with the conventional bio-heat model at correction factor is equal to 0:6. The temperature of tumor region in the porous media model is slightly lower than the conventional bio-heat model. When the porosity is increased, the temperature of normal breast tissue is increased. But in tumorous breast tissue, the temperature is slightly increased in skin surface to anterior part of the tumor and slightly decreased in tumor region. The temperature of normal and tumorous breast tissue is increased when metabolism, blood velocity, and room temperature are increased in the porous media model. The central temperature of the tumor region reaches a steady state faster than anterior and posterior temperature of both normal and tumorous breast tissue in conventional bio-heat model and porous media model.

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“…For the thermal equilibrium condition, Φ b = Φ t = Φ [10] The combined (2 and 3) form of heat transfer equations in porous tissue model is:…”

Section: Porous Media Modelmentioning

confidence: 99%

“…They found that when the porosity, metabolic heat generation, and environment temperature are increased, the temperature of muscle is increased. Majchrzak and Turchan [10], Tucci et al [28] described the heat transfer equation in porous media model for simulating a biological tissue in hyperthermia therapy.…”

Section: Introductionmentioning

confidence: 99%

Temperature Variation in Breast Tissue Model With and Without Tumor Based on Porous Media

2021

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“…The latest research and opinions [14,15,28,29] related to the bio-heat transfer problems proceedings in the living biological tissues prove that the bio-heat models should be described by the non-Fourier heat conduction models, among others, by the modified Pennes equation derived from the Cattaneo-Vernotte model or from the dual phase lag model. In the Cattaneo-Vernotte model, the relaxation time appears, while in the second model, the thermalizaton time additionally occurs.…”

Section: Future Research Planmentioning

confidence: 99%

Mathematical Modelling of Thermal and Electrical Processes in the Polyp-Colon System During Electrosurgical Polypectomy

Ciesielski¹,

Siedlecki²,

Janik³

2020

IJHT

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In this paper, the mathematical model of the electrical and thermal processes proceeding during the electrosurgical polypectomy is considered. During a colonoscopy, the endoscopist can remove abnormal growths (polyps) inside the large intestine (the colon). In the electrosurgical polypectomy procedure, a polypectomy snare is tightened around the base of the polyp. Next, the electric current flows for a short moment of time from the snare loop (the first electrode), through the polyp-colon tissues and the other body tissues, to the second electrode placed on the patient's skin. Both electrodes are connected to the electrosurgical generator unit. This medical surgery allows to cut off the polyp stalk from the colon wall. The systems of the partial differential equations that describe the thermal and electrical processes with the appropriate initial-boundary conditions are proposed. The examples of numerical simulations related to two duty cycles of the electrosurgical generator unit are presented. Simulation results can be helpful for the surgeons to choose the optimal heating time and to set other parameters of the electric current that flows by tissues during the endoscopy procedure.

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Numerical model of biological tissue heating using the models of bio–heat transfer with delays

Cited by 2 publications

References 12 publications

Temperature Variation in Breast Tissue Model With and Without Tumor Based on Porous Media

Temperature Variation in Breast Tissue Model With and Without Tumor Based on Porous Media

Mathematical Modelling of Thermal and Electrical Processes in the Polyp-Colon System During Electrosurgical Polypectomy

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