Analysis of the time-space fractional bioheat transfer equation for biological tissues during laser irradiation

被引：32

作者：

Wang, Xiaoping ^{[1
]}

Qi, Haitao ^{[1
]}

Yang, Xiu ^{[1
]}

Xu, Huanying ^{[1
]}

机构：

[1] Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2021年 / 177卷

基金：

中国国家自然科学基金;

关键词：

Bioheat transfer; Time-space fractional heat conduction; model; Laser irradiation; Finite difference method; HYPERBOLIC HEAT-CONDUCTION; OLDROYD-B FLUID; THERMAL-DAMAGE; SKIN TISSUE; NUMERICAL-SIMULATION; THEORETICAL-ANALYSIS; MODEL; FLOW;

D O I：

10.1016/j.ijheatmasstransfer.2021.121555

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Laser technology has been widely used in biomedical therapies and external surgeries. To promote its applications, a good thermal model is required to analyze the temperature distribution within the living tissues. In this paper, we develop a time-space fractional hyperbolic bioheat transfer model to study the non-Fourier bioheat transfer process within the living biological tissues during laser irradiation. Based on the the L 1 approximation for the Caputo time fractional derivative and the central difference scheme for the Riesz fractional derivative, the finite difference algorithm is developed for the laser irradiation problem. The efficiency and accuracy of this method have been verified by using three numerical examples. In view of the thermophysical properties of the biological tissues, the effect of time and space fractional parameters, phase lag time and blood perfusion rate on temperature distribution within living biological tissues have been analyzed and shown graphically. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：15

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