在弥漫性去极化期间扩散的物质：传播速度、触发和浓度时程的解析表达式。
Diffusing substances during spreading depolarization: analytical expressions for propagation speed, triggering, and concentration time courses.
机构信息
NeuroImaging, MIRA Institute for Biomedical Technology and Technical Medicine, Institute for Biomedical Technology and Technical Medicine, University of Twente, 7500 AE Enschede, The Netherlands.
出版信息
J Neurosci. 2013 Apr 3;33(14):5915-23. doi: 10.1523/JNEUROSCI.5115-12.2013.
Abstract
Spreading depolarization (SD) is an important phenomenon in stroke and migraine. However, the processes underlying the propagation of SD are still poorly understood, and an elementary model that is both physiological and quantitative is lacking. We show that, during the onset and propagation of SD, the concentration time courses of excitatory substances such as potassium and glutamate can be described with a reaction-diffusion equation. This equation contains four physiological parameters: (1) a concentration threshold for excitation; (2) a release rate; (3) a removal rate; and (4) an effective diffusion constant. Solving this equation yields expressions for the propagation velocity, concentration time courses, and the minimum stimulus that can trigger SD. This framework allows for analyzing experimental results in terms of these four parameters. The derived time courses are validated with measurements of potassium in rat brain tissue.
摘要
去极化扩散（SD）是中风和偏头痛中的一个重要现象。然而，SD 传播背后的过程仍然知之甚少，缺乏既具有生理学意义又定量的基本模型。我们表明，在 SD 的发作和传播过程中，兴奋性物质如钾和谷氨酸的浓度时间过程可以用反应-扩散方程来描述。这个方程包含四个生理参数：（1）兴奋的浓度阈值；（2）释放速率；（3）清除速率；和（4）有效扩散常数。求解这个方程可以得到传播速度、浓度时间过程以及能够引发 SD 的最小刺激的表达式。这个框架允许根据这四个参数来分析实验结果。推导出的时间过程用大鼠脑组织中钾的测量值进行了验证。
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