Sensitivity analysis of temperature field in the heated soft tissue with respect to the perturbations of porosity

被引：13

作者：

Kaluza, Grazyna ^{[1
]}

Majchrzak, Ewa ^{[1
]}

Turchan, Lukasz ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Computat Mech & Engn, Konarskiego 18A, PL-44100 Gliwice, Poland

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 49卷

关键词：

Bioheat transfer; Generalized dual-phase lag equation; Sensitivity analysis; Finite difference method; PHASE-LAG MODEL; LIVING BIOLOGICAL TISSUES; BOUNDARY-ELEMENT METHOD; BIOHEAT TRANSFER; THERMAL-DAMAGE; SKIN TISSUE; LASER IRRADIATION; PROCESSED MEAT; POROUS-MEDIA; CONDUCTION;

D O I：

10.1016/j.apm.2017.05.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The thermal processes occurring in the heated soft tissues are described by generalized dual-phase lag model supplemented by appropriate boundary and initial conditions. A key parameter in this model is the porosity associated with the diameter of blood vessels and the diameter of the surrounding tissue. Using the direct approach, the sensitivity analysis of the tissue and blood temperatures with respect to these diameters is discussed. The basic problem and additional ones concerning the sensitivity functions are solved by means of the explicit scheme of finite difference method. In the final part the results of computations are presented and the conclusions are formulated. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：498 / 513

页数：16

共 35 条

[1] NUMERICAL SIMULATION OF THERMAL DAMAGE TO LIVING BIOLOGICAL TISSUES INDUCED BY LASER IRRADIATION BASED ON A GENERALIZED DUAL PHASE LAG MODEL [J].

Afrin, Nazia ;

Zhou, Jianhua ;

Zhang, Yuwen ;

Tzou, D. Y. ;

Chen, J. K. .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2012, 61 (07) :483-501

[2]

[Anonymous], 2013, COMPUT ASSIST METHOD

[3] New interpretation of non-Fourier heat conduction in processed meat [J].

Antaki, PJ .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2005, 127 (02) :189-193

[4] On the Nusselt number in heat transfer between multiple parallel blood vessels [J].

Cousins, AK .

JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1997, 119 (01) :127-129

[5] Sensitivity analysis for transient heat conduction in a solid body - Part I: External boundary modification [J].

Dems, K ;

Rousselet, B .

STRUCTURAL OPTIMIZATION, 1999, 17 (01) :36-45

[6] 3D MODEL OF THERMAL INTERACTIONS BETWEEN HUMAN FOREARM AND ENVIRONMENT [J].

Duda, Mateusz ;

Mochnacki, Bohdan .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2015, 14 (03) :17-23

[7]

Dziewonski M, 2011, MECKA, P82

[8] Ranking of parameters in bioheat transfer using Taguchi analysis [J].

Jamil, Muhammad ;

Ng, E. Y. K. .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2013, 63 :15-21

[9] Numerical analysis of the interactions between laser and soft tissues using generalized dual-phase lag equation [J].

Jasinski, M. ;

Majchrzak, E. ;

Turchan, L. .

APPLIED MATHEMATICAL MODELLING, 2016, 40 (02) :750-762

[10] MODELLING OF THERMAL DAMAGE IN LASER IRRADIATED TISSUE [J].

Jasinski, Marek .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2015, 14 (04) :67-78

← 1 2 3 4 →