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首页> 外文期刊>Zeitschrift fur Physik, B. Condensed Matter >On biomembrane electrodiffusive models
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On biomembrane electrodiffusive models

机译：关于生物膜电扩散模型

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摘要

Two models are used in the literature, to study the electric behaviour of cellular membranes such as in protein aggregates, excitable media or ionic currents for examples. The first one is the Electroneutral Model based on Nernst-Planck and Poisson equations with a specific condition of microscopic electroneutrality. The second one is the Cable Model valid for long wavelengths based on an analogy between an electric cable and a cell. Convincing experiments have justified the Cable equation. First, we show that these two models are in contradiction. More precisely the assumption of electroneutrality is not considered in the Cable Model. The main difference between the two models is highlighted by the analysis of the well known voltage instability due to a negative differential conductance. Then, we derive a new semi-microscopic model (the Biomembrane Electrodiffusive Model, called BEM) valid for phenomena at any wavelength. The BEM is based on Nernst-Planck and Poison equations but, doesn't imply microscopic electroneutrality. It reveals the capacitive behaviour of the membrane. In the limit of long wavelengths, one recovers the behaviour described within the Cable framework, as shown precisely in the study of the negative differential conductance analysis. Finally, we demonstrate the intimate link between the last models: the Cable Model appears as the limit of the BEM for large wavelengths with some prerequisites which are discussed. The effects of geometry and asymmetrical media are introduced.
机译：文献中使用了两种模型来研究细胞膜的电行为，例如蛋白质聚集体，可激发介质或离子电流。第一个是基于Nernst-Planck和Poisson方程的电中性模型，具有特定的微观电子中性条件。第二个是电缆模型，基于电缆和单元之间的类比，适用于长波长。令人信服的实验证明了Cable方程的合理性。首先，我们证明这两个模型是矛盾的。更准确地说，电缆模型中未考虑电子中性的假设。两种模型之间的主要区别通过对负负电导引起的众所周知的电压不稳定性的分析得以突出显示。然后，我们得出一个新的半微观模型（生物膜电扩散模型，称为BEM），适用于任何波长的现象。 BEM基于Nernst-Planck和Poison方程，但并不意味着微观电子中性。它揭示了膜的电容行为。在长波长的限制下，可以恢复电缆框架中描述的行为，正如对负差分电导分析的研究所精确显示的那样。最后，我们演示了最后一个模型之间的紧密联系：电缆模型作为BEM的限制出现在大波长上，并讨论了一些先决条件。介绍了几何形状和非对称介质的影响。

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