[1]

Pennes HH (1948) Analysis of tissue and arterial blood temperature in the resting human forearm. J Appl Phisiol 1: 93122.

[2]

Dillenseger JL, Esneault S (2010) Fast FFTbased bioheat transfer equation computation. Comput Biol Med 40: 119123.

[3]

Zhao JJ, Zhang J, Kang N, et al. (2005) A two level finite difference scheme for one dimensional Pennes' bioheat equation. Appl Math Comput 171: 320331.

[4]

Huang HW, Horng TL (2015) Bioheat transfer and thermal heating for tumor treatment. Heat Transfer and Fluid Flow in Biological Processes Amsterdam: Elsevier, 142.

[5]

Bedin L, Bazán FSV (2014) On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach. Appl Math Comput 236: 422436.

[6]

Karaa S, Zhang J, Yang F (2005) A numerical study of a 3D bioheat transfer problem with different spatial heating. Math Comput Simulat 68: 375388.

[7]

Askarizadeh H, Ahmadikia H (2015) Analytical study on the transient heating of a twodimensional skin tissue using parabolic and hyperbolic bioheat transfer equations. Appl Math Model 39: 37043720.

[8]

Deng ZS, Liu J (2002) Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. J Biomech Eng 124: 638649.

[9]

Dutta J, Kundu B (2017) A revised approach for an exact analytical solution for thermal response in biological tissues significant in therapeutic treatments. J Therm Biol 66: 3348.

[10]

Bojdi ZK, Hemmat AA (2017) Wavelet collocation methods for solving the Pennes bioheat transfer equation. Optik 130: 345355.

[11]

Kansa EJ (1990) Multiquadrics—A scattered data approximation scheme with applications to computational fluiddynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput Math Appl 19: 147161.

[12]

Beatson RK, Levesley J, Mouat CT (2011) Better bases for radial basis function interpolation problems. J Comput Appl Math 236: 434446.

[13]

Zerroukat M, Power H, Chen CS (1998) A numerical method for heat transfer problems using collocation and radial basis functions. Int J Numer Meth Eng 42: 12631278.

[14]

Cao L, Qin QH, Zhao N (2010) An RBFMFS model for analysing thermal behaviour of skin tissues. Int J Heat Mass Tran 53: 12981307.

[15]

Jamil M, Ng EYK (2013) Evaluation of meshless radial basis collocation method (RBCM) for heterogeneous conduction and simulation of temperature inside the biological tissues. Int J Therm Sci 68: 4252.

[16]

Hon YC, Mao XZ (1998) An efficient numerical scheme for Burgers' equation. Appl Math Comput 95: 3750.

[17]

Sarra SA (2005) Adaptive radial basis function methods for time dependent partial differential equations. Appl Numer Math 54: 7994.

[18]

Driscoll TA, Heryudono ARH (2007) Adaptive residual subsampling methods for radial basis function interpolation and collocation problems. Comput Math Appl 53: 927939.

[19]

Zhang J, Chauhan S (2019) Realtime computation of bioheat transfer in the fast explicit dynamics finite element algorithm (FEDFEM) framework. Numer Heat Transfer, Part B 75: 217238.

[20]

Zhang J, Chauhan S (2019) Neural network methodology for realtime modelling of bioheat transfer during thermotherapeutic applications. Artif Intell Med 101: 101728.

[21]

Fahmy MA (2019) Boundary element modeling and simulation of biothermomechanical behavior in anisotropic laserinduced tissue hyperthermia. Eng Anal Bound Elem 101: 156164.

[22]

Fahmy MA (2020) A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermoporoelastic structures. Arab J Basic Appl Scis 27: 112.

[23]

Verma R, Kumar S (2020) Computational study on constant and sinusoidal heating of skin tissue using radial basis functions. Comput Biol Med 121: 103808.

[24]

Hoffman JD, Hoffman JD, Frankel S (2001) Numerical Methods for Engineers and Scientists CRC Press.

[25]

Kengne E, Mellal I, Hamouda MB, et al. (2014) A mathematical model to solve bioheat transfer problems through a bioheat transfer equation with quadratic temperaturedependent blood perfusion under a constant spatial heating on skin surface. J Biomed Sci Eng 7: 721730.

[26]

Zhang ZW, Wang H, Qin QH (2015) Meshless method with operator splitting technique for transient nonlinear bioheat transfer in twodimensional skin tissues. Int J Mol Sci 16: 20012019.

[27]

Woolfe G, MacDonald AD (1944) The evaluation of the analgesic action of pethidine hydrochloride (Demerol). J Pharmacol Exp Ther 80: 300307.

[28]

Gholami M, Saboory E, Mehraban S, et al. (2015) Time dependent antinociceptive effects of morphine and tramadol in the hot plate test: Using different methods of drug administration in female rats. Iran J Pharm Res 14: 303311.

[29]

Da Silva S, França AS, Pinatti M (2011) Onedimensional simulation of heat transfer in the canine knee joint during therapeutic heating and cooling. Braz J Biom Eng 27: 163174.

[30]

Tita B, AbdelHaq H, Vitalone A, et al. (2001) Analgesic properties of Epilobium angustifolium, evaluated by the hot plate test and the writhing test. Farmaco 56: 341343.

[31]

Narasimhan A, Jha KK (2012) Bioheat transfer simulation of retinal laser irradiation. Int J Numer Meth Biomed Eng 28: 547559.

[32]

Ezzat MA, ElBary AA, AlSowayan NS (2016) Tissue responses to fractional transient heating with sinusoidal heat flux condition on skin surface. Anim Sci J 87: 13041311.

[33]

Shih TC, Kou HS, Liauh CT, et al. (2002) Thermal models of bioheat transfer equations in living tissue and thermal dose equivalence due to hyperthermia. Biomed Eng: Appl, Basis, Commun 14: 8696.

[34]

Zhang J, Chauhan S (2020) Fast computation of soft tissue thermal response under deformation based on fast explicit dynamics finite element algorithm for surgical simulation. Comput Meth Prog Bio 187: 105244.

[35]

Zhang J, Lay RJ, Roberts SK, et al. (2020) Towards realtime finitestrain anisotropic thermoviscoelastodynamic analysis of soft tissues for thermal ablative therapy. Comput Meth Prog Bio 198: 105789.
