Wawrzkiewicz-Jałowiecka Agata, Borys Przemysław, Grzywna Zbigniew J
Cell Mol Biol Lett. 2015 Dec;20(4):663-84. doi: 10.1515/cmble-2015-0039.
We model the activity of an ion channel gate by Langevin dynamics in a logarithmic potential. This approach enables one to describe the power-law dwell-time distributions of the considered system, and the long-term correlations between the durations of the subsequent channel states, or fractal scaling of statistical characteristics of the gate's movement with time. Activity of an ion channel gate is described as an overdamped motion of the reaction coordinate in a confining logarithmic potential, which ensures great flexibility of the model. Depending on the chosen parameters, it allows one to reproduce many types of gate dynamics within the family of non-Markovian, anomalous conformational diffusion processes. In this study we apply the constructed model to largeconductance voltage and Ca2+-activated potassium channels (BKCa). The interpretation of model assumptions and parameters is provided in terms of this biological system. Our results show good agreement with the experimental data.
我们通过对数势中的朗之万动力学对离子通道门的活动进行建模。这种方法能够描述所考虑系统的幂律驻留时间分布，以及后续通道状态持续时间之间的长期相关性，或者门运动的统计特征随时间的分形标度。离子通道门的活动被描述为反应坐标在限制对数势中的过阻尼运动，这确保了模型具有很大的灵活性。根据所选参数，它允许在非马尔可夫、反常构象扩散过程家族中重现多种类型的门动力学。在本研究中，我们将构建的模型应用于大电导电压和Ca2+激活的钾通道（BKCa）。根据这个生物系统对模型假设和参数进行了解释。我们的结果与实验数据显示出良好的一致性。
