论文标题
tridomain模型,用于钾的钾清关
A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus
论文作者
论文摘要
钾在神经细胞外部狭窄空间中的积累是最近引起了很多关注的经典生物物理学主题。它可能参与钾的积累\ textcolor {black} {}散布抑郁症,也许是偏头痛和某种癫痫,甚至是(投机)学习。定量分析可能有助于评估动作电位后细胞外空间中钾清除的作用。间隙涉及延伸神经长度的三个结构:胶质,细胞外空间和轴突,因此需要将其描述为在神经“电缆方程式”中用于电势的空间中分布在空间中的系统,因为1937年霍奇金的工作。在这里提出了一个三场模型,以便在此处使用三室模型,以便使用potass和Potass累积。该模型允许水和离子的对流,扩散和电迁移。我们依靠Orkand等人的数据来确保我们的模型的相关性,并将其参数与膜,通道和转运蛋白的解剖结构和特性保持一致:我们的模型非常适合其实验数据。对齐模型表明,正如预期的那样,胶质细胞在缓冲钾中具有重要作用。该模型表明,钾主要是通过通过渗透压差异驱动的神经胶质的对流流动的。可能是一个简化的模型,但必须涉及沿视神经的长度向下流动。隔间模型很容易忽略这一流程。我们的模型可用于与视神经截然不同的结构,后者可能在其三个隔间中具有不同的通道和转运蛋白分布。可以将其推广为包括代表血管的第四个(分布式)隔室,以处理进入循环系统的淋巴流。
The accumulation of potassium in the narrow space outside nerve cells is a classical subject of biophysics that has received much attention recently. It may be involved in potassium accumulation \textcolor{black}{including} spreading depression, perhaps migraine and some kinds of epilepsy, even (speculatively) learning. Quantitative analysis is likely to help evaluate the role of potassium clearance from the extracellular space after a train of action potentials. Clearance involves three structures that extend down the length of the nerve: glia, extracellular space, and axon and so need to be described as systems distributed in space in the tradition used for electrical potential in the `cable equations' of nerve since the work of Hodgkin in 1937. A three-compartment model is proposed here for the optic nerve and is used to study the accumulation of potassium and its clearance. The model allows the convection, diffusion, and electrical migration of water and ions. We depend on the data of Orkand et al to ensure the relevance of our model and align its parameters with the anatomy and properties of membranes, channels, and transporters: our model fits their experimental data quite well. The aligned model shows that glia has an important role in buffering potassium, as expected. The model shows that potassium is cleared mostly by convective flow through the syncytia of glia driven by osmotic pressure differences. A simplified model might be possible, but it must involve flow down the length of the optic nerve. It is easy for compartment models to neglect this flow. Our model can be used for structures quite different from the optic nerve that might have different distributions of channels and transporters in its three compartments. It can be generalized to include a fourth (distributed) compartment representing blood vessels to deal with the glymphatic flow into the circulatory system.