Mouri Kazunari, Shimokawa Tetsuya
Bioinformatics Center, Institute for Chemical Research, Kyoto University, Gokasho Uji, Kyoto 611-0011, Japan.
Biosystems. 2008 Jul-Aug;93(1-2):58-67. doi: 10.1016/j.biosystems.2008.04.010. Epub 2008 Apr 29.
We provide the methodology for the analysis of the cooperative molecular motor model with finite number of motors, which are linearly and rigidly coupled, based on the Fokker-Planck approach. The probability density functions for the position of motors are solved numerically from the stationary Fokker-Planck equations. By using these probability density functions, we provide the analytical expressions, such as the velocity, the rate of the ATP consumption, the energetic efficiency, and the dissipation energy rates. Furthermore, we investigate three specific examples, such as single motor model, 2-motor model, and infinitely coupled motor model. Numerical algorithm to solve the Fokker-Planck equations is also provided.
我们基于福克 - 普朗克方法，提供了一种用于分析具有有限数量线性且刚性耦合分子马达的协同分子马达模型的方法。马达位置的概率密度函数由稳态福克 - 普朗克方程数值求解得到。利用这些概率密度函数，我们给出了诸如速度、ATP 消耗率、能量效率和能量耗散率等的解析表达式。此外，我们研究了三个具体例子，如单马达模型、双马达模型和无限耦合马达模型。还提供了求解福克 - 普朗克方程的数值算法。
