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 | |
| 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.
Keywords
- Bioheat transfer
- Biomechanics
- Discretization
- Iterative solver
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications