Department of Mathematics, Applied Mathematics, and Statistics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, OH 44106, United States of America.
Biomed Phys Eng Express. 2022 Jun 3;8(4). doi: 10.1088/2057-1976/ac71d0.
The transport of gases across cell membranes plays a key role in many different cell functions, from cell respiration to pH control. Mathematical models play a central role in understanding the factors affecting gas transport through membranes, and are the tool needed for testing the novel hypothesis of the preferential crossing through specific gas channels. Since the surface pH of cell membrane is regulated by the transport of gases such as COand NH, inferring the membrane properties can be done indirectly from pH measurements. Numerical simulations based on recent models of the surface pH support the hypothesis that the presence of a measurement device, a liquid-membrane pH sensitive electrode on the cell surface may disturb locally the pH, leading to a systematic bias in the measured values. To take this phenomenon into account, it is necessary to equip the model with a description of the micro-environment created by the pH electrode. In this work we propose a novel, computationally lightweight numerical algorithm to simulate the surface pH data. The effect of different parameters of the model on the output are investigated through a series of numerical experiments with a physical interpretation.
气体跨细胞膜运输在许多不同的细胞功能中起着关键作用，从细胞呼吸到 pH 值控制。数学模型在理解影响气体通过细胞膜运输的因素方面起着核心作用，是测试特定气体通道优先穿越的新假设所需的工具。由于细胞膜表面 pH 值受到 CO 和 NH 等气体的运输调节，因此可以通过 pH 值测量间接推断膜性质。基于最近表面 pH 值模型的数值模拟支持以下假设：存在测量设备，即细胞膜表面的液体膜 pH 敏感电极可能会局部扰乱 pH 值，导致测量值出现系统偏差。为了考虑到这一现象，有必要在模型中描述 pH 电极所创建的微环境。在这项工作中，我们提出了一种新颖的、计算量轻的数值算法来模拟表面 pH 值数据。通过一系列具有物理解释的数值实验，研究了模型不同参数对输出的影响。
