Lattice Boltzmann method for solving the bioheat equation

Physics in Medicine and Biology

Volumn 53, Issue 3, 2008, Pages

  Zhang, Haifeng ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BIOHEAT EQUATION; FINITE ELEMENT SIMULATION; LATTICE BOLTZMANN METHOD; TREATMENT PLANNING;

BLOOD; BOLTZMANN EQUATION; FINITE ELEMENT METHOD; TEMPERATURE DISTRIBUTION; TUMORS;

HEMODYNAMICS;

ALGORITHM; ANALYTIC METHOD; ARTICLE; BODY TEMPERATURE; CALCULATION; LATTICE BOLTZMANN; PREDICTION; PRIORITY JOURNAL; SIMULATION; TREATMENT PLANNING;

ALGORITHMS; BODY TEMPERATURE; COMPUTER SIMULATION; ENERGY TRANSFER; HEAT; MODELS, BIOLOGICAL; THERMAL CONDUCTIVITY; THERMOGRAPHY;

EID: 41849112361     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/53/3/N01     Document Type: Article

References (24)

1. Chen S Y and Doolen G D 1998 Lattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 30 329-64
2. Deng Z S and Liu J 2002 Monte Carlo method to solve multidimensional bioheat transfer problem Numer. Heat Transf. B 42 543-67
3. Deng Z S and Liu J 2004 Mathematical modeling of temperature mapping over skin surface and its implementation in thermal disease diagnostics Comput. Biol. Med. 34 495-521
4. D'Orazio A, Corcione M and Celata G P 2004 Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition Int. J. Therm. Sci. 43 575-86
5. Gautherie M 1980 Thermopathology of breast cancer: measurements and analysis of in vivo temperature and blood flow Ann. New. York. Acad. Sci. 335 383-415
6. Gupta N, Chaitanya R and Mishra S C 2006 Lattice Boltzmann method applied to variable thermal conductivity conduction and radiation problems J. Thermophys. Heat Transf. 20 895-902
7. He X Y, Chen S Y and Doolen G D 1998 A Novel thermal model for the lattice Boltzmann method in incompressible limit J. Comput. Phys. 146 282-300
8. Ho J R, Kuo C P, Jiaung W S and Twu C J 2002 Lattice Boltzmann scheme for hyperbolic heat conduction equation Numer. Heat Transf. B 41 591-607
9. Hu L, Gupta A, Gore P J and Xu L X 2004 Effect of forced convection on the skin thermal expression of breast cancer. ASME Trans. J. Biomech. Eng. 126 204-11
10. Inamuro T, Yoshino M and Ogino F 1995 A non-slip boundary condition for lattice Boltzmann simulations Phys. Fluids 7 2928-30
11. Liu J and Wang C C 1997 Bioheat Transfer (Beijing: Chinese Scientific)
12. Mishra S C and Roy H K 2007 Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method J. Comput. Phys. 223 89-107
13. Ozisik M N 1980 Heat Conduction (New York: Wiley)
14. Pennes H H 1948 Analysis of tissue and arterial blood temperatures in the resting human forearm J. Appl. Physiol. 1 93-122
15. Rossi M R and Rabin Y 2007 Experimental verification of numerical simulations of cryosurgery with application to computerized planning Phys. Med. Biol. 52 4553-67
16. Samaras T, Christ A and Kuster N 2006 Effects of geometry discretization aspects on the numerical solution of the bioheat transfer equation with the DFTD technique Phys. Med. Biol. 51 N221-9
17. Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford: Clarendon)
18. Trakic A, Liu F and Crozier S 2006 Transient temperature rise in a mouse due to low-frequency regional hyperthermia Phys. Med. Biol. 51 1673-91
19. Velivelli A C and Bryden K M 2006 Parallel performance and accuracy of lattice Boltzmann and traditional finite difference methods for solving the unsteady two-dimensional Burger's equation Physica A 362 139-45
20. Wang J K, Wang M R and Li Z X 2007 A lattice Boltzmann algorithm for fluid-solid conjugate heat transfer Int. J. Therm. Sci. 46 228-34
21. Wang M R, Wang J K, Pan N and Chen S Y 2007 Mesoscopic predictions of the effective thermal conductivity for microscale random porous media Phys. Rev. E 75 036702
22. Wang Y L and Zhu L 2007 Targeted brain hypothermia induced by an interstitial cooling device in human neck: theoretical analyses Eur. J. Appl. Physiol. 101 31-40
23. Wu Z, Liu H H, Lebanowski L, Liu Z Q and Hor P H 2007 A basic step toward understanding skin surface temperature distributions caused by internal heat sources Phys. Med. Biol. 52 5379-92
24. Zhao G, Zhang H F, Guo X J, Luo D W and Gao D Y 2007 Effects of blood flow and metabolism on multidimensional heat transfer during cryosurgery Med. Eng. Phys. 29 205-15