Extracellular zinc ion inhibits ClC-0 chloride channels by facilitating slow gating

Extracellular Zn²⁺ was found to reversibly inhibit the ClC-0 Cl^- channel. The apparent on and off rates of the inhibition were highly temperature sensitive, suggesting an effect of Zn²⁺ on the slow gating (or inactivation) of ClC-0. In the absence of Zn²⁺, the rate of the slow- gating relaxation increased with temperature, with a Q₁₀ of ~37. Extracellular Zn²⁺ facilitated the slow-gating process at all temperatures, but the Q₁₀ did not change. Further analysis of the rate constants of the slow-gating process indicates that the effect of Zn²⁺ is mostly on the forward rate (the rate of inactivation) rather than the backward rate (the rate of recovery from inactivation) of the slow gating. When ClC-0 is bound with Zn²⁺, the equilibrium constant of the slow-gating process is increased by ~30-fold, reflecting a 30-fold higher Zn²⁺ affinity in the inactivated channel than in the open-state channel. As examined through a wide range of membrane potentials, Zn²⁺ inhibits the opening of the slow gate with equal potency at all voltages, suggesting that a two-state model is inadequate to describe the slow-gating transition. Following a model originally proposed by Pusch and co-workers (Pusch, M., U. Ludewig, and T.J. Jentsch. 1997.J. Gen. Physiol. 109:105-116), the effect of Zn²⁺ on the activation curve of the slow gate can be well described by adding two constraints: (a) the dissociation constant for Zn²⁺ binding to the open channel is 30 μM, and (b) the difference in entropy between the open state and the transition state of the slow-gating process is increased by 27 J/mol/°K for the Zn²⁺-bound channel. These results together indicate that extracellular Zn²⁺ inhibits ClC-0 by facilitating the slow-gating process.