Kinetic modeling of 2e-/1H+ and 2e-/2H+ bidirectional catalytic cycles

When a redox enzyme or synthetic catalyst is interfaced with an electrode, the electrochemical response depends on the details of the catalytic cycle. Here we focus on the steady-state catalytic waveshape of enzymes such as formate dehydrogenase (2e-/1H+), hydrogenases (2e-/2H+) and other bidirectional molecular catalysts that can be adsorbed on, and undergo direct electron transfer with an electrode. We seek to examine the relations between the dependence on pH of the waveshape, the sequence of events in the catalytic cycle, and the properties of the catalytic intermediates (their reduction potentials and pKa's). Discussing the interpretation of the dependence on pH of the limiting currents and catalytic potentials in various simple situations leads us to introduce the concept of "catalytic pKa". The reasoning is general and could be used in relation to any bidirectional two-electron catalytic cycle. Understanding what defines and tunes the catalytic potentials will be crucial for the design of reversible catalysts, which operate at a fast rate in either direction in response to even a small overpotential.

The Contribution of Proton-Donor pKa on Reactivity Profiles of [FeFe]-hydrogenases

The [FeFe]-hydrogenases are enzymes that catalyze the reversible activation of H₂ coupled to the reduction–oxidation of electron carriers. Members of the different taxonomic groups of [FeFe]-hydrogenases display a wide range of preference, or bias, for H₂ oxidation or H₂ production reactions, despite sharing a common catalytic cofactor, or H-cluster. Identifying the properties that control reactivity remains an active area of investigation, and models have emerged that include diversity in the catalytic site coordination environments and compositions of electron transfer chains. The kinetics of proton-coupled electron transfer at the H-cluster might be expected to be a point of control of reactivity. To test this hypothesis, systematic changes were made to the conserved cysteine residue that functions in proton exchange with the H-cluster in the three model enzymes: CaI, CpII, and CrHydA1. CaI and CpII both employ electron transfer accessory clusters but differ in bias, whereas CrHydA1 lacks accessory clusters having only the H-cluster. Changing from cysteine to either serine (more basic) or aspartate (more acidic) modifies the sidechain pKa and thus the barrier for the proton exchange step. The reaction rates for H₂ oxidation or H₂ evolution were surveyed and measured for model [FeFe]-hydrogenases, and the results show that the initial proton-transfer step in [FeFe]-hydrogenase is tightly coupled to the control of reactivity; a change from cysteine to more basic serine favored H₂ oxidation in all enzymes, whereas a change to more acidic aspartate caused a shift in preference toward H₂ evolution. Overall, the changes in reactivity profiles were profound, spanning 10⁵ in ratio of the H₂ oxidation-to-H₂ evolution rates. The fact that the change in reactivity follows a common trend implies that the effect of changing the proton-transfer residue pKa may also be framed as an effect on the scaling relationship between the H-cluster di(thiolmethyl)amine (DTMA) ligand pKa and E_m values of the H-cluster. Experimental observations that support this relationship, and how it relates to catalytic function in [FeFe]-hydrogenases, are discussed.