Abstract:In order to research the biomedical mechanism of pulsed electric field (PEF), the equivalent dielectric-circuit compound model of spherical biological cell and the method for calculating the transfer functions of inner and outer membranes are presented in this paper. The time-domain solution of transmembrane potential induced by time-varying electric field is introduced, and the relationship between electric field parameters and transmembrane potential is also analyzed. It is found that different duration can result in different selective effect on inner and outer membranes. Frequency-domain analysis shows that inner and outer membranes exposed to PEF exhibit band-pass and low-pass filter characteristic, respectively. Therefore, different biomedical effects will be induced in response to different field. Both academic analyses and medical experiment results show that the dielectric-circuit compound model agrees well with the dielectric model and the circuit model, and can give explanation for the electroporation and apoptosis induction. The dielectric-circuit compound model provides theoretical guidance for parameter selection and mechanism study on application of PEF in tumor treatment.
米彦, 姚陈果, 李成祥, 廖瑞金, 孙才新. 基于场-路复合模型的细胞内外膜跨膜电位时频特性[J]. 电工技术学报, 2011, 26(2): 14-20.
Mi Yan, Yao Chenguo, Li Chengxiang, Liao Ruijin, Sun Caixin. Time-Frequency Characteristics of Transmenbrane Potentials on Cellular Inner and Outer Membranes Based on Dielectric-Circuit Compound Model. Transactions of China Electrotechnical Society, 2011, 26(2): 14-20.
[1] Weaver J C. Electroporation of cells and tissues[J]. IEEE Transactions on Plasma Science, 2000, 28(1): 24-33. [2] Weaver J C. Electroporation of biological membranes from multicellular to nano scales[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2003, 10(5): 754-768. [3] Chen N, Schoenbach K H, Kolb J F, et al. Leukemic cell intracellular responses to nanosecond electric fields[J]. Biochemical and Biophysical Research Communications, 2004, 317(2): 421-427. [4] Beebe S J, Fox P M, Rec L J, et al. Nanosecond pulsed electric field (nsPEF) effects on cells and tissues: apoptosis induction and tumor growth inhibition[J]. IEEE Transactions on Plasma Science, 2002, 30(1): 286-292. [5] Beebe S J, Fox P M, Rec L J, et al. Nanosecond pulsed electric field effects on human cells[C]. In Proceedings of the 25th International Power Modulator Symposium, California, USA, 2002: 652-656. [6] Gundersen M, Vernier P T, Marcu L, et al. Ultrashort pulse electroporation: applications of high pulsed electric fields to induced caspase activation of human lymphocytes[C]. In Proceedings of 25th International Power Modulator Symposium, California, USA, 2002: 667-670. [7] Vernier P T, Sun Yinghua, Marcu L, et al. Calcium bursts induced by nanosecond electric pulses[J]. Biochemical and Biophysical Research Communi- cations, 2003, 310(2): 286-295. [8] Stacey M, Stickley J, Foxa P, et al. Differential effects in cells exposed to ultra-short, high intensity electric fields: cell survival, DNA damage, and cell cycle analysis[J]. Mutation Research, 2003, 542(1-2): 65-75. [9] Yao C G, Sun C X, Mi Y, et al. Experimental studies on killing and inhibiting effects of steep pulsed electric field (SPEF) to target cancer cells and solid tumor[J]. IEEE Transactions on Plasma Science, 2004, 32(4): 1626-1633. [10] Schoenbach K H, Joshi R P, Kolb J F, et al. Ultrashort electrical pulses open a new gateway into biological cells[J]. Proceedings of the IEEE, 2004, 92(7): 1122-1137. [11] Schoenbach K H, Beebe S J, Buescher E S. Intracellular effect of ultrashort electrical pulses[J]. Bioelectromagnetics, 2001, 22(6): 440-448. [12] Joshi R P, Schoenbach K H. Electroporation dynamics in biological cells subjected to ultrafast electrical pulses: a numerical simulation study[J]. Physical Review E, 2000, 62(1): 1025-1033. [13] Joshi R P, Hu Q, Schoenbach K H. Modeling studies of cell response to ultrashort, high-intensity electric fields-implications for intracellular electromani- pulation[J]. IEEE Transactions on Plasma Science, 2004, 32(4): 1677-1686. [14] 姚陈果, 李成祥, 孙才新, 等. 脉冲电场诱导细胞内外膜穿孔模型与跨膜电位的仿真[J]. 中国电机工程学报, 2006, 26(13): 123-128. [15] 姚陈果, 莫登斌, 孙才新, 等. 细胞内外膜跨膜电位频率响应模型及滤波器特性的研究[J]. 中国生物医学工程学报, 2008, 27(2): 270-275. [16] 姚陈果, 莫登斌, 孙才新, 等. 细胞电参数对内外膜跨膜电位影响的仿真研究[J]. 中国生物医学工程学报, 2007, 26(5): 739-745. [17] Hodgkin A L, Huxley A F. A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes[J]. Journal of Physiology, 1952, 117(4): 500-544. [18] Schoenbach K H, Katsuki S, Stark R H. Bioelectrics- new applications for pulsed power technology[J]. IEEE Transactions on Plasma Science, 2002, 30(1): 293-300. [19] Buescher E S, Schoenbach K H. Effects of submicrosecond, high intensity pulsed electric fields on living cells-intracellular electromanipulation[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2003, 10(5): 788-794. [20] 米彦, 孙才新, 姚陈果, 等. 基于等效电路模型的细胞内外膜跨膜电位频率响应[J]. 电工技术学报, 2007, 22(6): 6-11. [21] Kotnik T, Miklavčič D. Theoretical evaluation of the distributed power dissipation in biological cells exposed to electric fields[J]. Bioelectromagnetics, 2000, 21(5): 385-394. [22] Yao Chenguo, Mi Yan, Li C X, et al. Study of transmembrane potentials on cellular inner and outer membrane-frequency response model and its filter characteristic simulation[J]. IEEE Transactions on Biomedical Engineering, 2008, 55(7): 1792-1799.