On a Multiscale Analysis of a Micro-Model of Heat Transfer in Biological Tissues

TL;DR

This paper develops a multiscale homogenized model for heat transfer in biological tissues, capturing micro-scale interactions between tissue cells and blood, with implications for thermotherapy and thermoregulation.

Contribution

It introduces a new homogenized macro-model for bio-heat transfer that accounts for micro-scale tissue-blood interactions using homogenization techniques.

Findings

The macro-model includes additional terms reflecting micro-scale effects.

Homogenization reveals new insights into tissue-blood heat exchange.

Model applicability to thermotherapy and thermoregulation systems.

Abstract

A bio-heat transfer model for biological tissues in a micro-scale and periodical settings is investigated . It is assumed that the model is a two-component system consisting of solid particles representing tissue cells and interconnected pores containing either arterial or venous blood. This tissue-blood system is described by two energy equations, one equation for the solid tissues and the other for the surrounding blood. On the interface between them, it is assumed that the heat transfer is governed by Newton's cooling law. Using homogenization techniques, it is shown that the obtained macro-model presents some extra-terms and it can be seen as a new mathematical model for human thermotherapy and human thermoregulation system.