Alvarez Juan, Hajek Bruce
Department of Mathematics and Statistics, University of Saskatchewan, 142 McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, S7N 5E6, Canada.
J Chem Phys. 2006 Oct 28;125(16):164703. doi: 10.1063/1.2363187.
This paper explores stochastic models for the study of ion transport in biological cells. It considers one-dimensional models with time-varying concentrations at the boundaries. The average concentration and flux in the channel are obtained as kernel representations, where the kernel functions have a probabilistic interpretation which contributes to a better understanding of the models. In particular, the kernel representation is given for the flux at a boundary point, providing a correct version of a representation found in the literature. This requires special attention because one of the kernel functions exhibits a singularity. This kernel representation is feasible due to the linearity of the system that arises from the assumed independence between ions.
本文探讨了用于研究生物细胞中离子运输的随机模型。它考虑了边界处浓度随时间变化的一维模型。通道中的平均浓度和通量以核表示的形式获得，其中核函数具有概率解释，这有助于更好地理解这些模型。特别地，给出了边界点处通量的核表示，提供了文献中一个表示的正确版本。这需要特别注意，因为其中一个核函数表现出奇异性。由于假设离子之间相互独立而产生的系统的线性，这种核表示是可行的。
