Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue

Zhuo Jia Fu; Qiang Xi; Leevan Ling; Chang Yong Cao

doi:10.1016/j.ijheatmasstransfer.2016.11.109

Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue

Zhuo Jia Fu^*, Qiang Xi, Leevan Ling^*, Chang Yong Cao

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

33 Citations (Scopus)

Abstract

This paper investigates the thermal behavior inside skin tissue with the presence of a tumor by solving the Pennes bioheat equation. We apply the method of approximate particular solutions (MAPS) to simulate tumor in 3D. The MAPS is a kind of domain-type meshless collocation methods, which has the merits being free of mesh generation and numerical integration. To ensure the interface conditions were exactly satisfied, an affine space decomposition technique is adopted. After verifying the convergence of the proposed method, we provide various simulations to the thermal effects inside the skin tissue due to an arbitrary-shaped tumor, including the location, geometry and size.

Original language	English
Pages (from-to)	1154-1163
Number of pages	10
Journal	International Journal of Heat and Mass Transfer
Volume	108, Part A
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.109
Publication status	Published - May 2017

Scopus Subject Areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

User-Defined Keywords

Affine space decomposition
Meshless method
Method of approximate particular solution
Pennes bioheat equation
Thermal behavior

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10.1016/j.ijheatmasstransfer.2016.11.109

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@article{bb7f1e7f26404b489d964c1aaa6b6bef,

title = "Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue",

abstract = "This paper investigates the thermal behavior inside skin tissue with the presence of a tumor by solving the Pennes bioheat equation. We apply the method of approximate particular solutions (MAPS) to simulate tumor in 3D. The MAPS is a kind of domain-type meshless collocation methods, which has the merits being free of mesh generation and numerical integration. To ensure the interface conditions were exactly satisfied, an affine space decomposition technique is adopted. After verifying the convergence of the proposed method, we provide various simulations to the thermal effects inside the skin tissue due to an arbitrary-shaped tumor, including the location, geometry and size.",

keywords = "Affine space decomposition, Meshless method, Method of approximate particular solution, Pennes bioheat equation, Thermal behavior",

author = "Fu, {Zhuo Jia} and Qiang Xi and Leevan Ling and Cao, {Chang Yong}",

note = "Funding information: The work described in this paper was supported by the National Science Funds of China (Grant Nos. 11302069 and 11372097), the Chinese Postdoctoral Science Foundation (Grant Nos. 2014M561565 and 2015T80492), and the Foundation for Open Project of the State Key Laboratory of Acoustics (Grant No. SKLA201509), the Foundation for Open Project of the Key Laboratory of Road Construction Technology and Equipment, Ministry of Education (Grant No. 310825151132), the Fundamental Research Funds for the Publisher copyright: {\textcopyright} 2016 Published by Elsevier Ltd.",

year = "2017",

month = may,

doi = "10.1016/j.ijheatmasstransfer.2016.11.109",

language = "English",

volume = "108, Part A",

pages = "1154--1163",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue

AU - Fu, Zhuo Jia

AU - Xi, Qiang

AU - Ling, Leevan

AU - Cao, Chang Yong

N1 - Funding information: The work described in this paper was supported by the National Science Funds of China (Grant Nos. 11302069 and 11372097), the Chinese Postdoctoral Science Foundation (Grant Nos. 2014M561565 and 2015T80492), and the Foundation for Open Project of the State Key Laboratory of Acoustics (Grant No. SKLA201509), the Foundation for Open Project of the Key Laboratory of Road Construction Technology and Equipment, Ministry of Education (Grant No. 310825151132), the Fundamental Research Funds for the Publisher copyright: © 2016 Published by Elsevier Ltd.

PY - 2017/5

Y1 - 2017/5

N2 - This paper investigates the thermal behavior inside skin tissue with the presence of a tumor by solving the Pennes bioheat equation. We apply the method of approximate particular solutions (MAPS) to simulate tumor in 3D. The MAPS is a kind of domain-type meshless collocation methods, which has the merits being free of mesh generation and numerical integration. To ensure the interface conditions were exactly satisfied, an affine space decomposition technique is adopted. After verifying the convergence of the proposed method, we provide various simulations to the thermal effects inside the skin tissue due to an arbitrary-shaped tumor, including the location, geometry and size.

AB - This paper investigates the thermal behavior inside skin tissue with the presence of a tumor by solving the Pennes bioheat equation. We apply the method of approximate particular solutions (MAPS) to simulate tumor in 3D. The MAPS is a kind of domain-type meshless collocation methods, which has the merits being free of mesh generation and numerical integration. To ensure the interface conditions were exactly satisfied, an affine space decomposition technique is adopted. After verifying the convergence of the proposed method, we provide various simulations to the thermal effects inside the skin tissue due to an arbitrary-shaped tumor, including the location, geometry and size.

KW - Affine space decomposition

KW - Meshless method

KW - Method of approximate particular solution

KW - Pennes bioheat equation

KW - Thermal behavior

UR - http://www.scopus.com/inward/record.url?scp=85008970159&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2016.11.109

DO - 10.1016/j.ijheatmasstransfer.2016.11.109

M3 - Journal article

AN - SCOPUS:85008970159

SN - 0017-9310

VL - 108, Part A

SP - 1154

EP - 1163

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

ER -

Numerical investigation on the effect of tumor on the thermal behavior inside the skin tissue

Abstract

Scopus Subject Areas

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