We examine proton pumping in bc-type complexes within respiratory and photosynthetic electron transport chains. Our simple physical model includes a process of population of a first quinone molecule by two electrons and two protons at the N-side of the membrane which is followed by the diffusion of this quinone toward the unloading sites of the bc-complex. Then translocation of the protons to the P-side of the membrane occurs. One of the electrons proceeds to the drain reservoir and the second one populates a second quinone at the N-side to pump more protons. We derive the equations of motion for the proton and electron operators, rewrite them as a set of the rate equations, and couple them to phenomenological Langevin equations governing the motion of the shuttles. We solve the resulting equations numerically and determine the time dependencies of the shuttles positions and electron populations, as well as the quantum yield of the proton pumping and its thermodynamic efficiency.

我们检查质子泵浦在呼吸和光合作用的电子传输链内的bc型复合物中。我们的简单物理模型包括在膜的N侧由两个电子和两个质子填充第一个醌分子的过程，然后该醌向bc的卸载位点扩散-复杂的。然后质子移位到膜的P侧。电子之一进入排泄池，第二电子在N侧填充第二醌，以泵出更多的质子。我们导出质子和电子算子的运动方程，将它们重写为一组速率方程，然后将它们耦合到控制航天飞机运动的现象学Langevin方程。我们用数值方法求解所得方程，并确定航天飞机位置和电子种群的时间依赖性，以及质子泵浦的量子产率及其热力学效率。