Kanada Ryo, Sasaki Kazuo
Cybermedia Center, Osaka University, Toyonaka 560-0043, Japan and Department of Biophysics Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):022711. doi: 10.1103/PhysRevE.88.022711. Epub 2013 Aug 14.
KIF1A is a single-headed molecular motor that moves processively and unidirectionally along a microtubule by using the chemical energy released by hydrolyzing adenosine triphosphate (ATP) into adenosine diphosphate (ADP) and inorganic phosphate (P(i)). Although the movement of KIF1A seems to have successfully been explained by a simple Brownian motor model of the flashing ratchet type, this model is not suited to discuss the energetics of KIF1A. We introduce an elaborated model of the ratchet type to investigate how the chemical free energy is converted into mechanical work by taking account of the binding and release of reactant (ATP) and product (ADP and P(i)) molecules to and from the motor. The efficiency of energy transduction, the power output, and other quantities are calculated from the analytically obtained steady-state solution of the Fokker-Planck equations. It turns out that the concentrations of the reactant and product molecules that optimize both the efficiency and the power are close to those in the cell.
驱动蛋白1A(KIF1A)是一种单头分子马达,它通过水解三磷酸腺苷(ATP)释放化学能,将其转化为二磷酸腺苷(ADP)和无机磷酸(P(i)),从而沿微管进行持续单向移动。尽管KIF1A的运动似乎已成功地用闪烁棘轮型的简单布朗运动模型解释,但该模型并不适合讨论KIF1A的能量学。我们引入一种经过精心设计的棘轮型模型,通过考虑反应物(ATP)和产物(ADP和P(i))分子与马达的结合和释放,来研究化学自由能如何转化为机械功。能量转换效率、功率输出和其他量由福克-普朗克方程解析得到的稳态解计算得出。结果表明,使效率和功率都达到最优的反应物和产物分子浓度与细胞内的浓度相近。