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

Mathematical and Computer Modelling

Volumn 41, Issue 11-12, 2005, Pages 1251-1265

  Shen, Wensheng ^a   Zhang, Jun ^a   Yang, Fuqian ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Bioheat transfer; Biomechanics; Discretization; Iterative solver

Indexed keywords

BIOMECHANICS; COMPUTER SIMULATION; DEFORMATION; LINEAR SYSTEMS; MATHEMATICAL MODELS; THERMOPLASTICS; TISSUE;

BIOHEAT TRANSFER; DISCRETIZATION; ELASTIC DEFORMATION;

HEAT TRANSFER;

EID: 26844495202     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.09.006     Document Type: Article

References (27)

1. Y.C. Fung Biomechanics: Mechanical Properties of Living Tissues 1981 Springer-Verlag Paris
2. H.H. Pennes Analysis of tissue and arterial blood temperatures in resting human forearm J. Appl. Physiol. 1 1948 93 122
3. S. Weinbaum, L.M. Jiji, and D.E. Lemons Theory and experiment for the effect of vascular microstructure on surface tissue heat transfer - Part I: Anatomical foundation and model conceptualization ASME J. Biomech. Eng. 106 1984 321 330
4. L.M. Jiji, S. Weinbaum, and D.E. Lemons Theory and experiment for the effect of vascular microstructure on surface tissue heat transfer - Part II: Model formulation and solution ASME J. Biomech. Eng. 106 1984 331 341
5. M.M. Chen, and K.R. Holmes Microvascular contributions in tissue heat transfer Thermal Characteristics of Tumors: Applications in Detection and Treatment, Annals New York Academy of Sciences Volume 335 1980 Academy of Sciences New York 137 150
6. D. Arora, M. Skliar, and R.B. Roemer Model-predictive control of hyperthermia treatments IEEE Trans. Biomed. Eng. 49 2002 629 639
7. J.W. Lee, K.S. Kim, S.M. Lee, S.J. Eom, and R.V. Troitsky A novel design of thermal anomaly for mammary gland tumor phantom for microwave radiometer IEEE Trans. Biomed. Eng. 49 2002 694 699
8. M.E. Kowalski, and J.M. Jin Model-order reduction of nonlinear models of electromagnetic phased-array hyperthermia IEEE Trans. Biomed. Eng. 50 2003 1243 1254
9. S. Tungjitkusolmun, S.T. Staelin, D. Haemmerich, J.Z. Tsai, H. Gao, J.G. Webster, F.T. Lee Jr., D.M. Mahvi, and V.R. Vorperian Three-dimensional finite-element analyses for radio-frequency hepatic tumor ablation IEEE Trans. Biomed. Eng. 49 2002 3 9
10. J.W. Durkee Jr., and P.P. Antich Exact solutions to the multi-region time-dependent bioheat equation with transient heat sources and boundary conditions Phys. Med. Biol. 36 1991 345 368
11. S.J. Kowalski Thermomechanics of the drying process of fluid-saturated porous media Drying Technology 12 1994 453 482
12. M.P. Cleary Fundamental solutions for a fluid-satured porous solid Int. J. Solids Structures 13 1977 785 806
13. A.N. Skempton The pore pressure coefficients A and B Geotechnique 4 1954 143 147
14. Y.C. Fung Foundations of Solid Mechanics 1965 Prentice-Hall
15. F.C. Henriques, and A.R. Moritz Studies of thermal injury, I: The conduction of heat to and through skin and the temperatures attained therein, a theoretical and experimental investigation Amer. J. Pathol. 23 1947 531 549
16. M.T.A. Saif, B.E. Alaca, and H. Sehitoglu Analytical modeling of electrostatic membrane actuator for micro pumps IEEE Journal of Microelectromechanical System 8 1999
17. S. Karaa, J. Zhang, and F. Yang A numerical study of a 3D bioheat transfer problem with different spatial heating Math. Comput. Simul. 20 2005 375 388
18. Y. Saad, and M.H. Schultz GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM J. Sci. Stat. Comput. 7 1986 856 869
19. Y. Saad Iterative Methods for Sparse Linear Systems 1996 PWS Pub. New Jersey
20. J. Lee, J. Zhang, and C.C. Lu Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems J. Comput. Phy. 185 2003 158 175
21. N. Kang, J. Zhang, and E.S. Carlson Performance of ILU preconditioning techniques in simulating anisotropic diffusion in the human brain Future Generat. Comput. Sys. 20 2004 687 698
22. J. Liu, and L.X. Xu Estimation of blood perfusion using phase shift in temperature response to the sinusoidal heating at the skin surface IEEE Trans. Biomed. Eng. 46 2001 1037 1043
23. Z.S. Deng, and J. Liu Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies ASME J. Biomech. Eng. 124 2002 638 649
24. H.S. Tharp, and R.B. Roemer Optimal power deposition with finite-sized, planar hyperthermia applicator arrays IEEE Trans. Biomed. Eng. 39 1992 569 579
25. R.B. Roemer Engineering aspects of hyperthermia therapy M.L. Yarmush K.R. Killer M. Toner Annual Review of Biomedical Engineering 1999 Annual Reviews New York 347 376
26. D.M. Price Modulated-temperature thermomechanical analysis J. Therm. Anal. 51 1998 231 236
27. A.T. Patera, B.B. Mikic, G. Eden, and H.F. Bowman Winter Annual Meeting of ASME, Advances in Bioengineering 1979 187 191