Abstract

FO-ATP synthase (FO) is a rotary motor that converts potential energy from ions, usually protons, moving from high- to low-potential sides of a membrane into torque and rotary motion. Here we propose a mechanism whereby electric fields emanating from the proton entry and exit channels act on asymmetric charge distributions in the c-ring, due to protonated and deprotonated sites, and drive it to rotate. The model predicts a scaling between time-averaged torque and proton motive force, which can be hindered by mutations that adversely affect the channels. The torque created by the c-ring of FO drives the γ-subunit to rotate within the ATP-producing complex (F1) overcoming, with the aid of thermal fluctuations, an opposing torque that rises and falls with angular position. Using the analogy with thermal Brownian motion of a particle in a tilted washboard potential, we compute ATP production rates vs. proton motive force. The latter shows a minimum, needed to drive ATP production, which scales inversely with the number of proton binding sites on the c-ring.

Highlights

  • IntroductionLiving organisms rely on molecular machines and pumps [1] that transport ions through membranes, enable movement, and carry out myriads of other activities

  • Living organisms rely on molecular machines and pumps [1] that transport ions through membranes, enable movement, and carry out myriads of other activities. Such machines usually extract their energy from adenosine triphosphate (ATP), consisting of adenosine bound to three phosphate groups

  • The torque generation mechanism proposed here is based on the turnstile rotary mechanism proposed by Vik and Antonio [3], similar to Junge et al’s model [4,22], in which the a-subunit contains two offset half-channels allowing entry and exit of protons that bind to the rotor (Fig. 1)

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Summary

Introduction

Living organisms rely on molecular machines and pumps [1] that transport ions through membranes, enable movement, and carry out myriads of other activities. Such machines usually extract their energy from adenosine triphosphate (ATP), consisting of adenosine bound to three phosphate groups. There are three known types of rotary electric motors/pumps in biology [2]: the FO-portion (FO) of ATP synthase (F-ATPase, the smallest known rotary electric motor), the bacterial flagellar motor, and the V0-portion of V-type ATPases They contain a rotor (c-, MS-, or K-ring) embedded in a membrane. The rotor can be driven to rotate by ions moving from high to low potential or, in some cases and especially in Vtype ATPases, by extracting energy from ATP hydrolysis as they pump protons or other ions ‘‘uphill’’ against the concentration gradient and/or membrane potential

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