Recovery of Equilibrium Free Energy from Non-Equilibrium Thermodynamics with Mechanosensitive Ion Channels in E. coli

Abstract

Bacterial mechanosensitive channels are major players in cells ability to cope with hypo-osmotic stress. Excess turgor pressure due to fast water influx is reduced as the channels, triggered by membrane tension, open and release osmolytes. However, in vitro measurements of the free energy difference between the open and closed states of ion channels are challenging due to hysteresis effects and inactivation. Exploiting recent developments in statistical physics, we present a general formalism to extract the free energy difference between the closed and open states of mechanosensitive ion channels from non-equilibrium work distributions associated with the channels gating recorded in native patches under ramp stimulation protocols. We show that the work distributions obtained from the gating of MscS channels in E. coli membrane satisfy the strong symmetry relations predicted by the fluctuation theorems and recover the equilibrium free energy difference between the closed and open states of the channel within 1 k B T of its best estimate obtained from an independent experiment.