Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue

Wensheng Shen; Jun Zhang; Fuqian Yang

doi:10.1016/j.mcm.2004.09.006

Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue

Wensheng Shen
, Jun Zhang
, Fuqian Yang

Producción científica: Article › revisión exhaustiva

120 Citas (Scopus)

Resumen

A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in biological bodies as a thermoporoelastic media. The heat transfer and elastic deformation in soft tissues are examined based on the Pennes bioheat transfer equation and the modified Duhamel-Neuman equations. The three-dimensional governing equations based on the proposed model is discretized using a 19-point finite-difference scheme. The resulting large sparse linear system is solved by a preconditioned Krylov subspace method. Numerical simulations show that the proposed model is valid under our test conditions and the proposed numerical techniques are efficient.

Idioma original	English
Páginas (desde-hasta)	1251-1265
Número de páginas	15
Publicación	Mathematical and Computer Modelling
Volumen	41
N.º	11-12
DOI	https://doi.org/10.1016/j.mcm.2004.09.006
Estado	Published - may 2005

Nota bibliográfica

Funding Information:
*Author to whom all correspondence should be addressed. This research work was supported in part by NSF under Grants CCR-9988165, CCR-0092532, ACR-0202934, ACR-0234270, in part by DOE under Grant DE-FG02-02ER45961, in part by Kentucky Science and Engineering Foundation under Grant KSEF-02-264-RED-002, and in part by the University of Kentucky Research Committee.

Financiación

*Author to whom all correspondence should be addressed. This research work was supported in part by NSF under Grants CCR-9988165, CCR-0092532, ACR-0202934, ACR-0234270, in part by DOE under Grant DE-FG02-02ER45961, in part by Kentucky Science and Engineering Foundation under Grant KSEF-02-264-RED-002, and in part by the University of Kentucky Research Committee.

Financiadores	Número del financiador
University of Kentucky Research Committee
National Science Foundation Arctic Social Science Program	CCR-0092532, ACR-0234270, ACR-0202934, CCR-9988165
U.S. Department of Energy EPSCoR	DE-FG02-02ER45961
Kentucky Science and Engineering Foundation	KSEF-02-264-RED-002

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/j.mcm.2004.09.006

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title = "Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue",

abstract = "A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in biological bodies as a thermoporoelastic media. The heat transfer and elastic deformation in soft tissues are examined based on the Pennes bioheat transfer equation and the modified Duhamel-Neuman equations. The three-dimensional governing equations based on the proposed model is discretized using a 19-point finite-difference scheme. The resulting large sparse linear system is solved by a preconditioned Krylov subspace method. Numerical simulations show that the proposed model is valid under our test conditions and the proposed numerical techniques are efficient.",

keywords = "Bioheat transfer, Biomechanics, Discretization, Iterative solver",

author = "Wensheng Shen and Jun Zhang and Fuqian Yang",

note = "Funding Information: *Author to whom all correspondence should be addressed. This research work was supported in part by NSF under Grants CCR-9988165, CCR-0092532, ACR-0202934, ACR-0234270, in part by DOE under Grant DE-FG02-02ER45961, in part by Kentucky Science and Engineering Foundation under Grant KSEF-02-264-RED-002, and in part by the University of Kentucky Research Committee.",

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doi = "10.1016/j.mcm.2004.09.006",

language = "English",

volume = "41",

pages = "1251--1265",

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T1 - Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue

AU - Shen, Wensheng

AU - Zhang, Jun

AU - Yang, Fuqian

N1 - Funding Information: *Author to whom all correspondence should be addressed. This research work was supported in part by NSF under Grants CCR-9988165, CCR-0092532, ACR-0202934, ACR-0234270, in part by DOE under Grant DE-FG02-02ER45961, in part by Kentucky Science and Engineering Foundation under Grant KSEF-02-264-RED-002, and in part by the University of Kentucky Research Committee.

PY - 2005/5

Y1 - 2005/5

N2 - A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in biological bodies as a thermoporoelastic media. The heat transfer and elastic deformation in soft tissues are examined based on the Pennes bioheat transfer equation and the modified Duhamel-Neuman equations. The three-dimensional governing equations based on the proposed model is discretized using a 19-point finite-difference scheme. The resulting large sparse linear system is solved by a preconditioned Krylov subspace method. Numerical simulations show that the proposed model is valid under our test conditions and the proposed numerical techniques are efficient.

AB - A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in biological bodies as a thermoporoelastic media. The heat transfer and elastic deformation in soft tissues are examined based on the Pennes bioheat transfer equation and the modified Duhamel-Neuman equations. The three-dimensional governing equations based on the proposed model is discretized using a 19-point finite-difference scheme. The resulting large sparse linear system is solved by a preconditioned Krylov subspace method. Numerical simulations show that the proposed model is valid under our test conditions and the proposed numerical techniques are efficient.

KW - Bioheat transfer

KW - Biomechanics

KW - Discretization

KW - Iterative solver

UR - https://www.scopus.com/pages/publications/26844495202

UR - https://www.scopus.com/pages/publications/26844495202#tab=citedBy

U2 - 10.1016/j.mcm.2004.09.006

DO - 10.1016/j.mcm.2004.09.006

M3 - Article

AN - SCOPUS:26844495202

SN - 0895-7177

VL - 41

SP - 1251

EP - 1265

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11-12

ER -

Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue

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ASJC Scopus subject areas

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