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活性结构产生的细胞内和细胞外电位的数学建模:结构直径阶跃变化的影响。

Mathematical modelling of intra- and extracellular potentials generated by active structures: effects of a step change in structure diameter.

作者信息

Dimitrova N

出版信息

Gen Physiol Biophys. 1987 Feb;6(1):19-34.

PMID:3596223
Abstract

A mathematical model developed in our laboratory is used to estimate and analyse extracellular potentials generated in a volume conductor by a geometrically inhomogeneous structure with a step increase or a step decrease in its diameter. The transmembrane potentials were calculated using the model of Hodgkin and Huxley (1952) and the method of Joyner et al. (1978). Variations in waveforms of the transmembrane and extracellular potentials were described and discussed. Differences in waveforms of the extracellular potentials and in declines of their components are due to changes in the source which generates these potentials. In case of a propagation block the peak-to-peak amplitude of the extracellular potentials calculated over the area of the block may be higher than that over the area of propagation of action potentials. The possible applications of the results to the analysis of extracellular potentials recorded around actual motoneurons during their orthodromic or antidromic activation are discussed.

摘要

我们实验室开发的一个数学模型用于估计和分析在容积导体中由直径呈阶跃增加或阶跃减小的几何非均匀结构产生的细胞外电位。跨膜电位使用霍奇金和赫胥黎(1952年)的模型以及乔伊纳等人(1978年)的方法进行计算。描述并讨论了跨膜电位和细胞外电位波形的变化。细胞外电位波形及其成分衰减的差异是由于产生这些电位的源的变化所致。在存在传播阻滞的情况下,在阻滞区域计算得到的细胞外电位的峰峰值幅度可能高于动作电位传播区域的峰峰值幅度。讨论了这些结果在分析实际运动神经元在顺向或逆向激活期间记录到的细胞外电位方面的可能应用。

相似文献

1
Mathematical modelling of intra- and extracellular potentials generated by active structures: effects of a step change in structure diameter.活性结构产生的细胞内和细胞外电位的数学建模:结构直径阶跃变化的影响。
Gen Physiol Biophys. 1987 Feb;6(1):19-34.
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Mathematical modelling of intra- and extracellular potentials generated by active structures with short regions of increased diameter.
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The formation of extracellular potentials over the innervation zone: Are these potentials affected by changes in fibre membrane properties?神经支配区域细胞外电位的形成:这些电位是否受纤维膜特性变化的影响?
Med Biol Eng Comput. 2016 Dec;54(12):1845-1858. doi: 10.1007/s11517-016-1487-8. Epub 2016 Apr 5.
2
Calculation of spatially filtered signals produced by a motor unit comprising muscle fibres with non-uniform propagation.对由包含具有非均匀传播特性的肌纤维的运动单位产生的空间滤波信号的计算。
Med Biol Eng Comput. 2001 Mar;39(2):202-7. doi: 10.1007/BF02344805.
3
Difference in excitability along geometrically inhomogeneous structures and occurrence of "hot spots".
沿几何结构不均匀区域的兴奋性差异及“热点”的出现。
Biol Cybern. 1991;66(2):185-9. doi: 10.1007/BF00243294.