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改进的生物细胞簇电建模数值方法。

Improved numerical approach for electrical modeling of biological cell clusters.

机构信息

Department of Electrical Engineering, Centre of Technological Science, University of Santa Catarina State (UDESC), Joinville, Santa Catarina, Brazil.

出版信息

Med Biol Eng Comput. 2010 Apr;48(4):311-9. doi: 10.1007/s11517-010-0591-4. Epub 2010 Mar 6.

DOI:10.1007/s11517-010-0591-4
PMID:20213488
Abstract

This article presents an efficient numerical approach to simulate the process of polarization and ion conduction in membranes of biological cells subjected to intense electric fields. The proposed method uses Coulomb's law to calculate the electric field on the surface of the cell membrane and the continuity equation for calculating the difference in electric potential between the faces of the membrane. The behavior of the membrane conductance is described by a model of electroporation proposed in literature. This method provides results that agree well with the analytical model of polarization of an isolated cell suspended in electrolytic solution and also provides results for the conductance of the membrane during electroporation of cells in concentrated suspensions that agree with experimental results already published.

摘要

本文提出了一种高效的数值方法,用于模拟在强电场作用下生物细胞膜的极化和离子传导过程。该方法使用库仑定律计算细胞膜表面的电场,以及连续方程计算膜两面之间的电势差。膜电导的行为由文献中提出的电穿孔模型来描述。该方法提供的结果与悬浮在电解质溶液中的孤立细胞的极化分析模型吻合较好,并且对于细胞在浓缩悬浮液中的电穿孔过程中的膜电导提供的结果与已经发表的实验结果吻合较好。

相似文献

1
Improved numerical approach for electrical modeling of biological cell clusters.改进的生物细胞簇电建模数值方法。
Med Biol Eng Comput. 2010 Apr;48(4):311-9. doi: 10.1007/s11517-010-0591-4. Epub 2010 Mar 6.
2
Numerical simulation of electroporation in spherical cells.球形细胞电穿孔的数值模拟。
Artif Organs. 2004 Apr;28(4):357-61. doi: 10.1111/j.1525-1594.2004.47355.x.
3
[Analytical model for the transmembrane voltage induced on a permeabilized cell membrane in suspensions exposed to DC pulse fields].[悬浮液中暴露于直流脉冲电场的透化细胞膜上诱导产生的跨膜电压的分析模型]
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2007 Feb;24(1):1-4.
4
Theoretical and experimental analysis of electroporated membrane conductance in cell suspension.细胞悬浮液中电穿孔膜电导率的理论和实验分析。
IEEE Trans Biomed Eng. 2011 Dec;58(12):3310-8. doi: 10.1109/TBME.2010.2103074. Epub 2010 Dec 30.
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Modeling environment for numerical simulation of applied electric fields on biological cells.用于对生物细胞施加电场进行数值模拟的建模环境。
Electromagn Biol Med. 2007;26(3):239-50. doi: 10.1080/15368370701572712.
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Modeling electroporation in a single cell.单细胞电穿孔建模。
Biophys J. 2007 Jan 15;92(2):404-17. doi: 10.1529/biophysj.106.094235. Epub 2006 Oct 20.
7
Effective conductivity of a suspension of permeabilized cells: a theoretical analysis.透化细胞悬浮液的有效电导率:理论分析
Biophys J. 2003 Aug;85(2):719-29. doi: 10.1016/S0006-3495(03)74515-9.
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Numerical study of the electrical conductivity and polarization in a suspension of spherical cells.球形细胞悬浮液中电导率和极化的数值研究。
Bioelectrochemistry. 2006 May;68(2):213-7. doi: 10.1016/j.bioelechem.2005.08.001. Epub 2005 Oct 26.
9
Experimental characterization and numerical modeling of tissue electrical conductivity during pulsed electric fields for irreversible electroporation treatment planning.脉冲电场不可逆电穿孔治疗规划中组织电导率的实验表征和数值建模。
IEEE Trans Biomed Eng. 2012 Apr;59(4):1076-85. doi: 10.1109/TBME.2012.2182994. Epub 2012 Jan 6.
10
Effect of electric field induced transmembrane potential on spheroidal cells: theory and experiment.电场诱导跨膜电位对球状细胞的影响:理论与实验
Eur Biophys J. 2003 Sep;32(6):519-28. doi: 10.1007/s00249-003-0296-9. Epub 2003 Apr 24.

引用本文的文献

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A Microdosimetric Study of Electropulsation on Multiple Realistically Shaped Cells: Effect of Neighbours.对多个逼真形状细胞进行电脉冲刺激的微剂量学研究:相邻细胞的影响。
J Membr Biol. 2016 Oct;249(5):691-701. doi: 10.1007/s00232-016-9912-3. Epub 2016 Jun 18.
2
In silico validation procedure for cell volume fraction estimation through dielectric spectroscopy.通过介电谱估计细胞体积分数的计算机模拟验证程序。
J Biol Phys. 2015 Jun;41(3):223-34. doi: 10.1007/s10867-014-9374-8. Epub 2015 Jan 10.

本文引用的文献

1
The effect of electroporation pulses on functioning of the heart.电穿孔脉冲对心脏功能的影响。
Med Biol Eng Comput. 2008 Aug;46(8):745-57. doi: 10.1007/s11517-008-0346-7. Epub 2008 Apr 16.
2
Electrochemotherapy in treatment of tumours.电化学疗法治疗肿瘤
Eur J Surg Oncol. 2008 Feb;34(2):232-40. doi: 10.1016/j.ejso.2007.05.016. Epub 2007 Jul 5.
3
Membrane electroporation theories: a review.膜电穿孔理论综述
Med Biol Eng Comput. 2006 Mar;44(1-2):5-14. doi: 10.1007/s11517-005-0020-2.
4
Numerical study of the electrical conductivity and polarization in a suspension of spherical cells.球形细胞悬浮液中电导率和极化的数值研究。
Bioelectrochemistry. 2006 May;68(2):213-7. doi: 10.1016/j.bioelechem.2005.08.001. Epub 2005 Oct 26.
5
Electroporation of the heart.心脏电穿孔
Europace. 2005 Sep;7 Suppl 2:146-54. doi: 10.1016/j.eupc.2005.04.011.
6
Effect of cell electroporation on the conductivity of a cell suspension.细胞电穿孔对细胞悬液电导率的影响。
Biophys J. 2005 Jun;88(6):4378-90. doi: 10.1529/biophysj.104.048975. Epub 2005 Mar 25.
7
Electroporation: theory and methods, perspectives for drug delivery, gene therapy and research.电穿孔:理论与方法、药物递送、基因治疗及研究前景
Acta Physiol Scand. 2003 Apr;177(4):437-47. doi: 10.1046/j.1365-201X.2003.01093.x.
8
An approach to electrical modeling of single and multiple cells.一种针对单个细胞和多个细胞的电学建模方法。
Proc Natl Acad Sci U S A. 2003 Mar 18;100(6):3203-8. doi: 10.1073/pnas.0636434100. Epub 2003 Mar 7.
9
Dependence of induced transmembrane potential on cell density, arrangement, and cell position inside a cell system.诱导跨膜电位对细胞系统内细胞密度、排列及细胞位置的依赖性。
IEEE Trans Biomed Eng. 2002 Jun;49(6):605-12. doi: 10.1109/TBME.2002.1001975.
10
Effective conductivity of cell suspensions.细胞悬液的有效电导率。
IEEE Trans Biomed Eng. 2002 Jan;49(1):77-80. doi: 10.1109/10.972843.