自形成磁性液体热疗的电磁感应热及生物热传递的数值计算
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摘要
建立了肿瘤和正常生物组织的双球模型,采用了赫尔姆兹线圈产生磁性液体热疗的均匀磁场,利用有限元方法计算自形成CoFe2O4磁性液体热疗的电磁感应热及生物热传递,得出肿瘤组织和健康组织的温度均随时间上升后趋于稳定;肿瘤组织中心的稳定温度最高,温度随着与中心的距离增大而不断减小后趋于稳定;在合适参数下,健康组织的温度处于安全温度范围,磁性液体热疗达到了预期效果。肿瘤组织半径越大,温度下降越慢,稳定温度也越高;在肿瘤组织的区域内,温度变化较小,在健康组织范围内,温度下降后趋于稳定。磁性液体体积分数越大,肿瘤组织中心温度越高。
In this paper,bilayered spherical model is used in magnetic fluids hyperthermia.The uniform magnetic field is generated by Helmuz coil for magnetic fluids hyperthermia.Electromagnetically induced heating and bioheat transfer for self-formed CoFe2O4 magnetic fluids are numerical analyzed by the finite element analysis method.The temperature of tumor and healthy tissue first increased with time and then reached a stable value.The highest temperature was found in center of tumor and the temperature first decreased with the increasing distance to the center of tumor,and then kept a stable value.The temperature of healthy tissue was a security value and the desired effect of magnetic fluids hyperthermia was obtained in a suitable parameters.The larger the radius of tumor tissue was,the slower the temperature droped and the higher the stability temperature was.The drop rate of temperature was flat in tumor tissue,but reached a stable value in healthy tissue.The temperature increased with the increasing volume fraction of magnetic fluids in the center of tumor tissue.
In this paper,bilayered spherical model is used in magnetic fluids hyperthermia.The uniform magnetic field is generated by Helmuz coil for magnetic fluids hyperthermia.Electromagnetically induced heating and bioheat transfer for self-formed CoFe2O4 magnetic fluids are numerical analyzed by the finite element analysis method.The temperature of tumor and healthy tissue first increased with time and then reached a stable value.The highest temperature was found in center of tumor and the temperature first decreased with the increasing distance to the center of tumor,and then kept a stable value.The temperature of healthy tissue was a security value and the desired effect of magnetic fluids hyperthermia was obtained in a suitable parameters.The larger the radius of tumor tissue was,the slower the temperature droped and the higher the stability temperature was.The drop rate of temperature was flat in tumor tissue,but reached a stable value in healthy tissue.The temperature increased with the increasing volume fraction of magnetic fluids in the center of tumor tissue.
引文
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[2]Rosensweig R E.Ferrohydrodynamics[M].New York:Cambridge University Press,1985.
[3]Li J,Dai D,Liu X,et al.Preparation and characterization of self-formed CoFe2O4ferrofluid[J].Journal of Materials Research,2007,22(4):886-892.
[4]Jordan A,Wust P,Fahling H,et al.Inducive heating of ferrimegnetic particles and magnetic fluids:physical evaluation of their potential for hyperthermia[J].International Journal of Hyperthermia,2009,25(7):499-511.
[5]Zhang L Y,Gu H C,Wang X M.Magnetite ferrofluid with high specific absorption rate for application in hyperthermia[J].Journal of Magnetism and Magentic Materials,2007,311(1):228-233.
[6]Wu L,Cheng J J,Liu W Z,et al.Numerical analysis of electromagnetically induced heating and bioheat transfer for magnetic fluid hyperthermia[J].IEEE Transactions on Magnetics,2015,51(2):1-4.
[7]Subramanian M,Miaskowski A,Pearce G,et al.A coil system for real-time magnetic fluid hyperthermia microscopy studies[J].International Journal of Hyperthermia,2016,32(1):1-9.
[8]Rosensweig R E.Heating magnetic fluid with alternating magnetic field[J].Journal of Magnetism and Magentic Materials,2002,252(1-3):370-374.
[9]Marin C N,Marinova I,Fannin P C.Theoretical evaluation of the heating rate of ferrofluids[J].Journal of Thermal Analysis and Calorimetry,2015,119(2):1199-1203.
[10]Huang S,Wang S Y,Gupta A,et al.On the measurement technique for specific absorption rate of nanoparticles in an alternating electromagnetic field[J].Measurement Science and Technology,2012,23(3):035701.
[11]Fannin P C,Marin C N,Raj K,et al.An experimental study of the dynamic properties of nanoparticle colloids with identical magnetization but different particle size[J].Journal of Magnetism and Magentic Materials,2012,324(21):3443-3447.
[12]Payet B,Siblini A,Blanc-Mignon M F,et al.Comparison between a magneto-optical method and Fannin's technique for the measurement of Brown's relaxation frequency of ferrofluids[J].IEEE Transactions on Magnetics,1999,35(3):2018-2023.
[13]Li Qiang,Tan Xingyi,Yang Yongming,et al.Heating rate of self-formed CoFe2O4 magnetic fluids[J].Journal of Functional Materials,2017,48(7):07098-07103(in Chinese).李强,谭兴毅,杨永明,等.自形成CoFe2O4磁性液体的热效率[J].功能材料,2017,48(7):07098-07103.
[14]Parekh K,Upadhyay R,Mehta R,et al.Experimental investigation of nearly monodispersed ternary Mn0.5Zn0.5Fe2O4 magnetic fluid[J].Magnetohydrodynamics,2007,43(4):393-399.
[15]Sundar L S,Singh M K,Sousa A C M.Investigation of thermal conductivity and viscosity of Fe3O4nanofluid for heat transfer applications[J].International Communications in Heat and Mass Transfer,2013,44(5):7-14.
[16]Pankhurst Q A,Connolly J,Jones S K,et al.Applications of magnetic nanoparticles in biomedicine[J].Journal of Physics D:Applied Physics,2003,36(13):R167-R181.