Ebel W
J Math Biol. 1985;21(3):243-71. doi: 10.1007/BF00276225.
The concept of a mobile carrier combining reversibly with a substrate is considered as a possible mechanism for facilitated transport across biological membranes. The mathematical model is a system of three reaction diffusion equations with certain boundary conditions. Two limiting cases are discussed in detail: The case of a "thin" membrane where the diffusion of bound and unbound carrier from one surface to the other may be simulated by a single jump. If the diffusion rate of the substance to be transported is small, then an approximate stationary solution is derived using singular perturbation theory. Finally, the results of numerical simulations are presented for a wide range of parameters.
可移动载体与底物可逆结合的概念被视为促进跨生物膜转运的一种可能机制。数学模型是一个具有特定边界条件的三反应扩散方程组。详细讨论了两种极限情况：“薄”膜的情况，其中结合和未结合载体从一个表面扩散到另一个表面可通过单次跳跃来模拟。如果待转运物质的扩散速率较小，则使用奇异摄动理论导出近似稳态解。最后，给出了广泛参数范围内的数值模拟结果。
