A numerical study of a 3D bioheat transfer problem with different spatial heating

Samir Karaa, Jun Zhang, Fuqian Yang

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


We develop numerical methods for the computer simulation and modeling of a three dimensional heat transfer problem in biological bodies. The technique is intended for the temperature predications and parameter measurements in thermal medical practices and for the studies of thermomechanical interaction of biological bodies at high temperature. We examine a mathematical model based on the classical well-known Pennes equation for heat transfer in biological bodies. A finite difference discretization scheme is used to discretize the governing partial differential equation. A preconditioned iterative solver is employed to solve the resulting sparse linear system at each time step. Numerical results are obtained to demonstrate the efficacy of the proposed numerical methods.

Original languageEnglish
Pages (from-to)375-388
Number of pages14
JournalMathematics and Computers in Simulation
Issue number4
StatePublished - May 16 2005

Bibliographical note

Funding Information:
This research work was supported in part by the U.S. National Science Foundation under grants CCR-9988165, CCR-0092532, ACR-0202934, and ACR-0234270, by the U.S. Department of Energy Office of Science under grant DE-FG02-02ER45961, by the Kentucky Science and Engineering Foundation under grant KSEF-02-264-RED-002, and by the Japanese Research Organization for Information Science and Technology.


  • Bioheat transfer
  • Hyperthermia
  • Pennes equation
  • Preconditioning

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


Dive into the research topics of 'A numerical study of a 3D bioheat transfer problem with different spatial heating'. Together they form a unique fingerprint.

Cite this