Analysis of the effect of external heating in the human tissue: A finite element approach

1. Pennes HH. Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of Applied Physiology. 1948:1(2):93-122.10.1152/jappl.1948.1.2.93Search in Google Scholar

2. Scott JA. A finite element model of heat transport in the human eye. Physics in Medicine and Biology. 1988:33(2):227.10.1088/0031-9155/33/2/003Search in Google Scholar

3. Ooi EH, Ang W-T, Ng EYK. Bioheat transfer in the human eye: a boundary element approach. Engineering Analysis with Boundary Elements. 2007;31(6):494-500.10.1016/j.enganabound.2006.09.011Search in Google Scholar

4. Kenneth DR, Hayes LJ. Analysis of tissue injury by burning: comparison of in situ and skin flap models. International Journal of Heat and Mass Transfer. 1991:34(6):1393-1406.10.1016/0017-9310(91)90283-KSearch in Google Scholar

5. Torvi DA, Dale JD. A finite element model of skin subjected to a flash fire. Journal of Biomechanical Engineering. 1994;116(3):250-255.10.1115/1.28957277799624Search in Google Scholar

6. Bagaria HG, Johnson DT. Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment. International Journal of Hyperthermia. 2005;21(1):57-75.10.1080/0265673041000172695615764351Search in Google Scholar

7. Javidi M, Heydari M, Karimi A, et al. Evaluation of the effects of injection velocity and different gel concentrations on nanoparticles in hyperthermia therapy. Journal of Biomedical Physics & Engineering. 2014;4(4):151-162.Search in Google Scholar

8. Liu H-L, Chen Y-Y, Yen J-Y, Lin W-L. Thermal lesion formation and determination for external ultrasound thermal therapy. Biomedical Engineering: Applications, Basis and Communications. 2003;15(3):124-132.Search in Google Scholar

9. Mizera A, Gambin B. Modelling of ultrasound therapeutic heating and numerical study of the dynamics of the induced heat shock response. Communications in Nonlinear Science and Numerical Simulation. 2011;16(5):2342-2349.10.1016/j.cnsns.2010.04.056Search in Google Scholar

10. Sukru O, Helhel S, Cerezci O. Heat analysis of biological tissue exposed to microwave by using thermal wave model of bio-heat transfer (TWMBT). Burns. 2008;34(1):45-49.10.1016/j.burns.2007.01.00917624675Search in Google Scholar

11. Rabin Y, Shitzer A. Numerical solution of the multidimensional freezing problem during cryosurgery. Journal of Biomechanical Engineering. 1998;120(1):32-37.10.1115/1.28343049675678Search in Google Scholar

12. Yeung CJ, Atalar E. A Green’s function approach to local rf heating in interventional MRI. Medical Physics. 2001;28(5):826-832.10.1118/1.136786011393478Search in Google Scholar

13. Supan, Tungjitkusolmun, Staelin ST, Haemmerich D, et al. Three-dimensional finite-element analyses for radio-frequency hepatic tumor ablation. IEEE Transactions on Biomedical Engineering. 2002;49(1):3-9.10.1109/10.97283411797653Search in Google Scholar

14. Sturesson C, Andersson-Engels S. A mathematical model for predicting the temperature distribution in laser-induced hyperthermia. Experimental evaluation and applications. Physics in Medicine and Biology.1995:40(12):2037-2052.10.1088/0031-9155/40/12/0038719943Search in Google Scholar

15. Whiting P, Dowden JM, Kapadia PD, Davis MP. A one-dimensional mathematical model of laser induced thermal ablation of biological tissue. Lasers in Medical Science. 1992:7:357-368.10.1007/BF02594073Search in Google Scholar

16. Nyborg WL. Solutions of the bio-heat transfer equation. Physics in Medicine and Biology. 1988;33(7):785.10.1088/0031-9155/33/7/0023212041Search in Google Scholar

17. Deng Z_S, Liu J. Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. Journal of Biomechanical Engineering. 2002;124(6):638-649.10.1115/1.151681012596630Search in Google Scholar

18. Emmanuel K, Lakhssassi A, Vaillancourt R. Temperature distribution in living biological tissue simultaneously subjected to oscillatory surface and spatial heating: analytical and numerical analysis. International Mathematical Forum. 2012;7(48):2373-2392.Search in Google Scholar

19. Liu K-C. Thermal propagation analysis for living tissue with surface heating. International Journal of Thermal Sciences. 2008;4(5):507-513.Search in Google Scholar

20. Ahmadikia H, Fazlali R, Moradi A. Analytical solution of the parabolic and hyperbolic heat transfer equations with constant and transient heat flux conditions on skin tissue. International Communications in Heat and Mass Transfer. 2012;39(1):121-130.10.1016/j.icheatmasstransfer.2011.09.016Search in Google Scholar

21. Shih T-C, Yuan P, Lin W-L, Kou H-S. Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface. Medical Engineering & Physics. 2007;29(9):946-953.10.1016/j.medengphy.2006.10.00817137825Search in Google Scholar

22. Karaa S, Zhang J, Yang F. A numerical study of a 3D bioheat transfer problem with different spatial heating. Mathematics and Computers in Simulation. 2005;68(4):375-388.10.1016/j.matcom.2005.02.032Search in Google Scholar

23. Kengne E Mellal I, Hamouda MB, Lakhssassi A. A Mathematical Model to Solve Bio-Heat Transfer Problems through a Bio-Heat Transfer Equation with Quadratic Temperature-Dependent Blood Perfusion under a Constant Spatial Heating on Skin Surface. Journal of Biomedical Science and Engineering 2014;7(9):721.10.4236/jbise.2014.79071Search in Google Scholar

24. Sharma PR, Ali S, Katiyar VK. Mathematical modeling of temperature distribution on skin surface and inside biological tissue with different heating. 13th International Conference on Biomedical Engineering. Springer, Berlin, Heidelberg, 2009.Search in Google Scholar

25. Yuan P, Liu H-E, Chen C-W, Kou H-S. Temperature response in biological tissue by alternating heating and cooling modalities with sinusoidal temperature oscillation on the skin. International Communications in Heat and Mass Transfer. 2008;35(9):1091-1096.10.1016/j.icheatmasstransfer.2008.05.012Search in Google Scholar

26. Leilei C, Qin Q-H, Zhao N. An RBF–MFS model for analysing thermal behaviour of skin tissues. International Journal of Heat and Mass Transfer. 2010;53(7):1298-1307.Search in Google Scholar

27. Deng Z-S, Liu J. Parametric studies on the phase shift method to measure the blood perfusion of biological bodies. Medical Engineering & Physics. 2000;22(10):693-702.10.1016/S1350-4533(01)00015-7Search in Google Scholar

28. Liu J, Xu LX. Estimation of blood perfusion using phase shift in temperature response to sinusoidal heating at the skin surface. IEEE Transactions on Biomedical Engineering. 1999;46(9):1037-1043.10.1109/10.78413410493066Search in Google Scholar

29. Partridge PW, Wrobel LC. A coupled dual reciprocity BEM/genetic algorithm for identification of blood perfusion parameters. International Journal of Numerical Methods for Heat & Fluid Flow. 2009;19(1):25-38.10.1108/09615530910922134Search in Google Scholar

30. Mukaddes AMM, Ogino M, Shioya R. Performance evaluation of domain decomposition method with sparse matrix storage schemes in modern supercomputer. International Journal of Computational Methods. 2014;11(supp01):1344007.10.1142/S0219876213440076Search in Google Scholar

31. Mukaddes AMM, Shioya R, Masao O, et al. Finite Element Based Analysis of Bio-Heat Transfer in Human Skin During Burn and Afterwards. International Journal of Computational Methods. https://doi.org/10.1142/S021987622041010810.1142/S0219876220410108Search in Google Scholar

32. Holmes KR. Biological structures and heat transfer. Allerton Workshop on the Future of Biothermal Engineering. 1997.Search in Google Scholar

33. Carslaw HS, Jaeger JC. Conduction of heat in solids. Oxford: Clarendon Press, 1959, 2nd ed. (1959).Search in Google Scholar

34. Leonard JB, Foster KR, Athley TW. Thermal properties of tissue equivalent phantom materials. IEEE Transactions on Biomedical Engineering. 1984;31(7):533-536.10.1109/TBME.1984.3252966735431Search in Google Scholar

35. London RA, Glinsky ME, Zimmerman GB, et al. Laser-Tissue Interaction Modeling With LATIS. Applied Optics. 1997;36(34):9068-9074.10.1364/AO.36.00906818264466Search in Google Scholar

36. Deng Z-S, Liu J. Monte Carlo method to solve multidimensional bioheat transfer problem. Numerical Heat Transfer: Part B: Fundamental. 2002;42(6):543-567.10.1080/10407790260444813Search in Google Scholar

37. Habash R, Bansal R, Krewski D, et al. Thermal therapy, part 1: an introduction to thermal therapy. Critical Reviews in Biomedical Engineering. 2006;34(6):459-489.10.1615/CritRevBiomedEng.v34.i6.20Search in Google Scholar

38. Habash R, Bansal R, Krewski D, et al. Thermal therapy, part 2: hyperthermia techniques. Critical Reviews in Biomedical Engineering. 2006;34(6):491-542.10.1615/CritRevBiomedEng.v34.i6.3017725480Search in Google Scholar

39. Habash R, Bansal R, Krewski D, et al. Thermal therapy, Part III: ablation techniques. Critical Reviews in Biomedical Engineering. 2007;35(1-2):37-121.10.1615/CritRevBiomedEng.v35.i1-2.20Search in Google Scholar

40. Xiaoming H, Bischof JC. Quantification of temperature and injury response in thermal therapy and cryosurgery. Critical Reviews in Biomedical Engineering. 2003;31(5-6):355-422.10.1615/CritRevBiomedEng.v31.i56.10Search in Google Scholar

41. Liu J, Xu LX. Boundary information based diagnostics on the thermal states of biological bodies. International Journal of Heat and Mass Transfer. 2000;43(16):2827-2839.10.1016/S0017-9310(99)00367-1Search in Google Scholar

42. Ma N, Gao X, Zhang XX. Two-Layer Simulation Model of Laser-Induced Interstitial Thermo-Therapy. Lasers in Medical Science. 2004;18:184-189.10.1007/s10103-003-0278-215042421Search in Google Scholar

43. Scott JA. The computation of temperature rises in the human eye induced by infrared radiation. Physics in Medicine and Biology. 1988:33(2):243-257.10.1088/0031-9155/33/2/0043362967Search in Google Scholar