Numerical simulation of non–linear skin model with energy dissipation during hyperthermia and its validation with experimental data

Abstract

This work deals with a non–linear skin model with energy dissipation exposed to hyperthermia therapy based on a Gaussian–type external heat source and also consider that the blood perfusion rate relies linearly on temperature. Since skin tissue is very sensitive to temperature, it is crucial to predict the temperature response with energy dissipation to ensure hyperthermia efficacy and minimize adverse effects. The present model, which is supported by experimental data, indicates that the temperature profile of skin tissue increases less in comparison to the non–linear Pennes model due to energy dissipation. A hybrid strategy is utilized to get computed outcomes for the present problem and obtained outcome is compared to the analytical outcome in a specific situation and is confirmed with high precision through table and graph. To damage a significant number of cancerous cells width, we have to manage or reduce enough value of the antenna constant accordingly, and the length of the probe region may be changed according to the position of the tumor or cancer cells in skin tissue. The temperature profile at the targeted area reduces when the values of rate of thermal conductivity, rate of blood perfusion per unit volume and blood perfusion constant increase.

KEYWORDS:

• FERK (4,5) approach
• Gaussian type external heat source
• non–linear skin model with energy dissipation
• temperature–dependent blood perfusion rate

Acknowledgments

First author would like to thanks the CSIR, New Delhi, India, for the financial support under the Senior Research Fellowship (SRF) (09/013(0931)/2020-EMR-I) scheme and also to the Department of Mathematics (Institute of Science), Banaras Hindu University (BHU), Varanasi (U.P), India, for providing necessary facilities. We thank all anonymous reviewers for spending their valuable time to give valuable comments so that our manuscript is improved.

Disclosure statement

No potential conflict of interest was reported by the author(s).