Solutions for transients in arbitrarily branching cables: IV. Nonuniform electrical parameters.
Solutions for transients in arbitrarily branching cables: IV. Nonuniform electrical parameters.
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DOI：
10.1016/s0006-3495(94)80836-7
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发表时间：
1994-03
影响因子：
3.4
通讯作者：
Guy Major;Jonathan D. Evans
中科院分区：
文献类型：
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作者：
Guy Major;Jonathan D. Evans
将带胞体的任意分支无源电缆神经元模型的瞬态解推广到具有非均匀电参数和多个树突分流的模型。对注入电流的响应可以再次表示为指数衰减分量的无穷级数，系统时间常数由递归超越方程的根得到。互易关系和全局参数依赖关系与统一模型相同。无穷多个“原始”电形态学模型映射到一个给定的“核心”电紧张模型；局部和全局原始参数权衡现在是可能的。通过与生物学有关的例子说明了这些解决办法：(1)两圆柱体+体细胞皮质锥体细胞模型中不均匀电参数的影响，(2)在单圆柱体模型中错误地假设均匀性时可能发生的错误，(3)细胞和电极之间的非和相互作用可以显着增加有效容性电极伪影的持续时间，以及(4)海马CA1锥体细胞“卡通”表示中的分路抑制和双穿刺。这些解决方案应该补充分区建模技术。
Solutions for transients in arbitrarily branching passive cable neurone models with a soma are extended to models with nonuniform electrical parameters and multiple dendritic shunts. The response to an injected current can again be represented as an infinite series of exponentially decaying components with system time constants obtained from the roots of a recursive transcendental equation. The reciprocity relations and global parameter dependencies are the same as for uniform models. Infinitely many "raw" electro-morphological models map onto a given "core" electrotonic model; local as well as global raw parameter trade-offs are now possible. The solutions are illustrated by means of biologically relevant examples: (i) the effects of nonuniform electrical parameters in a two-cylinder + soma cortical pyramidal cell model, (ii) the errors that can occur when uniformity is incorrectly assumed in a single cylinder model, (iii) nonsumming interactions between cells and electrodes that can dramatically increase the duration of the effective capacitative electrode artefact, and (iv) shunting inhibition and double impalements in a hippocampal CA1 pyramidal cell "cartoon" representation. These solutions should complement compartmental modelling techniques.