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

Wensheng Shen, Jun Zhang, Fuqian Yang

Research output: Contribution to journalArticlepeer-review

91 Scopus citations


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 languageEnglish
Pages (from-to)1251-1265
Number of pages15
JournalMathematical and Computer Modelling
Issue number11-12
StatePublished - 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.


  • Bioheat transfer
  • Biomechanics
  • Discretization
  • Iterative solver

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications


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