论文标题

神经元膜通道中离子上的Lorentz力作为经颅静电磁刺激的机制

The Lorentz Force on Ions in Membrane Channels of Neurons as a Mechanism for Transcranial Static Magnetic Stimulation

论文作者

Freire, Manuel J., Bernal-Mendez, Joaquin

论文摘要

经颅静态磁刺激是一种新型的无创方法,可在某些神经系统疾病中降低皮质兴奋性,这与普通的经颅磁刺激不同,它可以利用永久磁体产生的静态磁场。众所周知,即法拉第定律是众所周知的物理原理。相比之下,解释了经颅静态磁刺激中神经元与静态磁场之间相互作用的物理机制尚不清楚,这使得很难改善和微调处理。在目前的工作中,讨论了这种机制可能是沿神经元膜通道的离子上施加的洛伦兹力的可能性。为了支持这一假设,进行维度分析以比较存在静态磁场的离子半径与人轴突和神经元中人轴突和膜通道的尺寸。该分析表明,尽管预计中等静态磁场不会影响离子通量通过轴突,但它仍会影响沿膜通道的离子通量。静态磁场的总体效应是在离子和膜通道的壁之间引入额外的摩擦,从而降低其电导率。通过使用霍奇金 - 赫克斯利模型进行的计算表明,即使膜通道的电导量略有降低也会导致作用电位的抑制,从而抑制神经元活性。

Transcranial static magnetic stimulation is a novel noninvasive method of reduction of the cortical excitability in certain neurological diseases that, unlike ordinary transcranial magnetic stimulation, makes use of static magnetic fields generated by permanent magnets. The physical principle underlying transcranial magnetic stimulation is well known, that is, the Faradays law. By contrast, the physical mechanism that explains the interaction between neurons and static magnetic fields in transcranial static magnetic stimulation remains unclear, which makes it difficult to improve and fine tune the treatment. In the present work it is discussed the possibility that this mechanism might be the Lorentz force exerted on the ions flowing along the membrane channels of neurons. To support this hypothesis, a dimensional analysis it is carried out to compare the Larmor radius of the ions in the presence of a static magnetic field with the dimensions of the cross section of human axons and membrane channels in neurons. This analysis shows that whereas a moderate static magnetic field is not expected to affect the ion flux through axons, nevertheless it can affect the ion flux along membrane channels. The overall effect of the static magnetic field would be to introduce an additional friction between the ions and the walls of the membrane channels, thus reducing its conductance. Calculations performed by using a Hodgkin-Huxley model demonstrate that even a slight reduction of the conductance of the membrane channels can lead to the suppression of the action potential, thus inhibiting neuronal activity.

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