|
|
Simulation Analysis of Microporous Characteristics of Spherical Cells Based on Electroporation and Pore Radii Change Equation |
Guo Fei*, Zhang Lin, Liu Xin, Peng Hao |
(Chongqing Key Laboratory of Complex Systems and Bionic Control,Chongqing University of Posts and Telecommunications,Chongqing 400065,China) |
|
|
Abstract In order to explore the theoretical mechanism of electroporation (EP),a 2D-axisymmetric model of single cell EP was established in this paper. The asymptotic electroporation equation and the pore radii evolution equation were included in the model to express the pore density and radii of EP. The perforation area was calculated more accurate by the axisymmetry of the model. Thus the temporal and spatial distribution characteristics of the micropores can be obtained,and the influence of the field strength and pulse width on EP was discussed. The results showed that 7 862 micropores were produced under the microsecond pulse electric field (μsPEF) of 100 μs and 2 kV/cm,and the perforation area accounted for 6.3% of the cell surface;the temporal and spatial distribution of the parameters of EP were consistent with the results of literature,which verified the correctness of the constructed model;in the range of 1 to 5 kV/cm,the number of pores was directly proportional to the field strength,the pore radius at P1 was in inverse proportion to the field strength,while the ratio of pore area to cell area increased from 1.3% to 12.9%;two groups of nsPEF and μsPEF with the same energy were selected for comparative study,it was found that at the end of the pulse,the number of pores generated by the former was 353.1 times of the latter one,and the pore radius at P1 of the latter was 19.3 times of the former one,indicated that nsPEF was conducive to the growth of the number of pores,while the μsPEF was conducive to the expansion of the pore radii. The simulation results showed that microporous characteristics determined the occurrence and development of EP,and the accurate calculation of microporosity was the key to explain the effect of EP.
|
Received: 13 December 2019
|
|
|
|
|
[1] Rems L,MiklavčičD.Tutorial:Electroporation of cells in complex materials and tissue[J].Journal of Applied Physics,2016,119(20):201101. [2] 姚陈果,王剑飞,李成祥,等.ns脉冲电场诱导细胞脂双层膜电穿孔的仿真分析[J].高电压技术,2010,36(2):423-427. [3] 姚陈果.新型复合脉冲不可逆电穿孔治疗肿瘤关键技术及临床应用研究进展[J].高电压技术,2018,44(1):248-263. [4] 米彦,芮少琴,李成祥,等.高频ns脉冲串作用下肝脏肿瘤热效应的多参数有限元仿真[J].高电压技术,2017,43(8):2477-2485. [5] 徐进,米彦,卞昌浩,等.高频纳秒脉冲电场作用下多细胞系统穿孔特性仿真[J].高电压技术,2016,42(8):2577-2586. [6] Pakhomova ON,Gregory BW,Semenov I,et al.Two modes of cell death caused by exposure to nanosecond pulsed electric field[J].PLoS ONE,2013,8(7):1-10. [7] 张鹰,曾新安,温其标,等.强脉冲电场对细胞膜通透性及其DNA的影响[J].高电压技术,2007,33(2):90-93. [8] 常博皞,彭辉,田进海,等.电穿孔介导小干扰RNA高效转染小鼠附植前胚胎[J].生物工程学报,2012,28(5):613-622. [9] Heller R,Grasso RJ.Transfer of human membrane surface components by incorporating human cells into intact animal tissue by cell-tissue electrofusion in vivo[J].Biochim Biophys Acta,1990,1024(1):185-188. [10] Li Chengxiang,Ke Qiang,Yao Chenguo,et al.Cell electrofusion based on nanosecond/microsecond pulsed electric fields[J].PLoS ONE,2018,13(5):1-14. [11] Schwan HP.Electrical properties of tissue andcell suspensions[J].Advances in Biological and Medical Physics,1957,5:147-209. [12] Kotnik T,Miklavčič D.Second-order model of membrane electric field induced by alternating external electric fields[J].IEEE Transactions on Biomedical Engineering,2000,47(8):1074-1081. [13] Gimsa J,Wachner D.Analytical description of the transmembrane voltage induced on arbitrarily oriented ellipsoidal and cylindrical cells[J].Biophysical Journal,2001,81(4):1888-1896. [14] Pastushenko VF,Chizmadzhev YA,Arakelyan VB.247-electric breakdown of bilayer lipid membranes II.Calculation of the membrane lifetime in the steady-state diffusion approximation[J].Bioelectrochemistry and Bioenergetics,1979,6(1):53-62. [15] Neu JC,Krassowska W.Asymptotic model of electroporation[J].Physical Review E,1999,59(3):3471-3482. [16] Debruin KA,Krassowska W.Modeling Electroporation in a single cell i effects of field strength and rest potential[J].Biophysical Journal,1999,77(3):1213-1224. [17] Lamberti P,Citro N,Egiziano L,et al.A coarse 3D lattice network modeling electroporation phenomenon in an excitable cell[C]//2017 14th International Conference on Synthesis,Modeling,Analysis and Simulation Methods and Applications to Circuit Design (SMACD).Giardini Naxos:IEEE,2017:1-4. [18] 张玉,张琳,刘欣,等.纳秒脉冲作用下球形细胞电穿孔过程仿真[J].高电压技术,2018,44(10):3307-3313. [19] Neu JC,Krassowska W.Modeling postshock evolution of large electropores[J].Physical Review E,2003,67(2):021915. [20] Krassowska W,Filev PD.Modeling electroporation in a single cell[J].Biophysical Journal,2007,92:404-417. [21] Smith KC,Neu JC,Krassowska W.Model of creation and evolution of stable electropores for DNA delivery[J].Biophysical Journal,2004,86(5):2813-2826. [22] Yao Chenguo,Liu Hongmei,Zhao Yajun,et al.Analysis of dynamic processes in single-cell electroporation and their effects on parameter selection based on the finite-element model[J].IEEE Transactions on Plasma Science,2017,45(5):889-900. [23] 赵亚军.复合脉冲消融肿瘤致组织介电与阻抗特性动态变化机理及实验研究[D].重庆:重庆大学,2018. [24] 郭飞,姚陈果,李成祥,等.包含频率色散效应的细胞膜和核膜跨膜电位的仿真[J].电工技术学报,2013,28(11):182-188. [25] 郭飞,刘欣,张琳,等.基于有限元法的色散球形细胞在纳秒脉冲下的跨膜电位仿真[J].高电压技术,2019,45(12):4047-4053. [26] 姚陈果,吕彦鹏,赵亚军,等.基于能量概率与微孔力模型的脉冲电场对细胞电穿孔动态过程的仿真分析[J].电工技术学报,2016,31(23):141-149. [27] Hibino M,Shigemori M,Itoh H,et al.Membrane conductance of an electroporated cell analyzed by submicrosecond imaging of transmembrane potential[J].Biophysical Journal,1991,59(1):209-220. [28] Gowrishankar TR,Esser AT,Vasilkoski Z,et al.Microdosimetry for conventional and supra-electroporation in cells with organelles[J].Biochemical &Biophysical Research Communications,2006,341(4):1266-1276. [29] Pucihar G,Miklavčič D,Kotnik T.A time-dependent numerical model of transmembrane voltage inducement and electroporation of irregularly shaped cells[J].IEEE Transactions on Biomedical Engineering,2009,56(5):1491-1501. [30] 李成祥.不可逆电穿孔治疗肿瘤的作用机理及临床应用关键技术的研究[D].重庆:重庆大学,2011. [31] 姚陈果,赵亚军,李成祥,等.不可逆电穿孔微创消融肿瘤技术的研究进展[J].高电压技术,2014,40(12):3725-3737. [32] Zhuang Jie,Ren Wei,Jing Yu,et al.Dielectric evolution of mammalian cell membranes after exposure to pulsed electric fields[J].IEEE Transactions on Dielectrics &Electrical Insulation,2012,19(2):609-622. [33] Retelj L,Pucihar G,Miklavčič D.Electroporation of intracellular liposomes using nanosecond electric pulses—A theoretical study[J].IEEE Transactions on Biomedical Engineering,2013,60(9):2624-2635. [34] Gabriel B,Teissié J.Direct observation in the millisecond time range of fluorescent molecule asymmetrical interaction with the electropermeabilized cell membrane[J].Biophysical Journal,1997,73(5):2630-2637. [35] Rahman NAA,Jamil MMA,Adon MN.Pulse electric field effect on breast cancer cell properties[C]//2019 IEEE 10th Control and System Graduate Research Colloquium (ICSGRC),Shah Alam:IEEE,2019:100-103. [36] Saulis G,Saulé R.Size of the pores created by an electric pulse:Microsecond vs millisecond pulses[J].Biochimica et Biophysica Acta (BBA)-Biomembranes,2012,1818(12):3032-3039. |
[1] |
Wang Shuai, Zhao Zhongyao, Zhang Xiangyu, Zhao Lina, Li Jianqing, Liu Chengyu. Three-Type Classification Method for Wearable ECG Signal Quality[J]. Chinese Journal of Biomedical Engineering, 2020, 39(5): 550-556. |
[2] |
Zang Lianru, Zhou Yu, Kang Jia, Lin Haixiao, Li Yuan, Xue Yinmin. Study on the Effect of Electrode Spacing and Electrode Diameter on Bipolar Radiofrequency Fat Melting at Constant Power[J]. Chinese Journal of Biomedical Engineering, 2020, 39(5): 566-576. |
|
|
|
|