Exact solution of a model of diffusion in an infinite chain or monolayer of cells coupled by gap junctions.
Exact solution of a model of diffusion in an infinite chain or monolayer of cells coupled by gap junctions.
复制标题
通过间隙连接耦合的无限链或单层细胞中扩散模型的精确解。
DOI：
10.1016/s0006-3495(90)82406-1
复制
发表时间：
1990
影响因子：
3.4
通讯作者：
Brink,PR
中科院分区：
文献类型：
--
作者：
Ramanan,SV;Brink,PR
在两种初始条件下，得到了由间隙连接耦合的无限长细胞链的解析解：（a）一个内部细胞最初均匀地填充到一个固定的浓度，（B）内部细胞无限期地保持在恒定的浓度。该解可以通过乘积法（Carslaw和Jaeger. 1959.固体中的热传导。牛津大学出版社.）到单层。我们还可以通过乘积法纳入通过质膜的渗漏。我们通过拟合蚯蚓分隔轴突的扩散数据和单层细胞的理论分布图来证明这些结果的实用性。这些解析解的使用使人们能够克服将细胞质扩散和连接渗透性的影响合并为有效扩散系数的方法的局限性。
Analytic solutions are found for an infinite chain of cells coupled by gap junctions under two initial conditions: (a) One inner cell initially filled uniformly to a fixed concentration and (b) inner cell maintained indefinitely at constant concentration. The solution can be extended by the product method (Carslaw and Jaeger. 1959. Conduction of Heat in Solids. Oxford University Press.) to monolayers. We can also incorporate leakage through the plasma membrane by the product method. We demonstrate the utility of these results by fitting diffusion data from the septate axon of earthworm and by plots of theoretical profiles from monolayers of cells. Use of these analytic solutions enables one to overcome the limitations of methods that lump the effects of cytoplasmic diffusion and junctional permeability into an effective diffusion coefficient.