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

Research output: Contribution to journal › Article › peer-review

120 Citations (SciVal)

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.

Original language	English
Pages (from-to)	1251-1265
Number of pages	15
Journal	Mathematical and Computer Modelling
Volume	41
Issue number	11-12
DOIs	https://doi.org/10.1016/j.mcm.2004.09.006
State	Published - May 2005

Bibliographical 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.

Funding

*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.

Funders	Funder number
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

Keywords

Bioheat transfer
Biomechanics
Discretization
Iterative solver

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

Access to Document

10.1016/j.mcm.2004.09.006

Cite this

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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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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

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DO - 10.1016/j.mcm.2004.09.006

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JO - Mathematical and Computer Modelling

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

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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