Modeling the Heating of Biological Tissue based on the Hyperbolic Heat Transfer Equation

TL;DR

This paper proposes a hyperbolic heat transfer model for biological tissue heating, offering a more realistic alternative to traditional Fourier-based models, with applications in laser and radio-frequency surgical procedures.

Contribution

It introduces a hyperbolic heat transfer equation for biological tissues, improving modeling accuracy over classical Fourier-based bioheat equations.

Findings

Hyperbolic model captures finite heat propagation speed.

Application to laser and radio-frequency tissue heating.

Potential to refine surgical techniques.

Abstract

In modern surgery, a multitude of minimally intrusive operational techniques are used which are based on the punctual heating of target zones of human tissue via laser or radio-frequency currents. Traditionally, these processes are modeled by the bioheat equation introduced by Pennes, who considers Fourier's theory of heat conduction. We present an alternative and more realistic model established by the hyperbolic equation of heat transfer. To demonstrate some features and advantages of our proposed method, we apply the obtained results to different types of tissue heating with high energy fluxes, in particular radiofrequency heating and pulsed laser treatment of the cornea to correct refractive errors. Hopefully, the results of our approach help to refine surgical interventions in this novel field of medical treatment.