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Equilibrium relations between the oxidation-reduction reactions and the adenosine triphosphate synthesis in suspensions of isolated liver cells.

ABSTRACT: 1. The redox state of cytochrome c, cytochrome a and the mitochondrial NAD couple, and the phosphorylation state of the adenine nucleotides, were measured in suspensions of isolated rat liver cells. 2. The DeltaG for the transfer of two electrons from the mitochondrial NAD to the cytochrome c couple is calculated to be 104kJ (24.8kcal). 3. The DeltaG associated with the synthesis of ATP at the measured phosphorylation state is calculated to be 95kJ (22.7kcal)/2mol of ATP. 4. The near equality of DeltaG of the electron-transport process and DeltaG required for ATP synthesis indicates near-equilibrium between the mitochondrial respiratory chain and the extramitochondrial phosphorylation state. 5. The existence of near-equilibrium in the coupled reactions implies that the respiratory activity depends on the ratio [ATP]/[ADP][P(i)] and not on the concentrations of the individual reactants. 6. If the overall system of oxidative phosphorylation is at near-equilibrium, all intermediary reactions must also be at equilibrium. Hence if the intramitochondrial and extramitochondrial phosphorylation states are indeed different, it follows that any differences in the activities of ATP, ADP and P(i) must be coupled to ion gradients and/or potentials across the inner mitochondrial membrane in such a way that translocation occurs without loss of free energy. 7. The metabolic state of the mitochondria in the cell can be defined by the turnover number of the cytochromes, the cytoplasmic phosphorylation state, and the oxidation-reduction potential of the NAD couple, rather than by the availability of ADP, substrate and O(2).

SUBMITTER: Wilson DF

PROVIDER: S-EPMC1167970 | biostudies-other | 1974 Apr

REPOSITORIES: biostudies-other

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Project description:A general theoretical framework is developed to account for the effects of an external potential on the energetics of membrane proteins. The framework is based on the free energy relation between two (forward/backward) probability densities, which was recently generalized to non-equilibrium processes, culminating in the work-fluctuation theorem. Starting from the probability densities of the conformational states along the "voltage coupling" reaction coordinate, we investigate several interconnected free energy relations between these two conformational states, considering voltage activation of ion channels. The free energy difference between the two conformational states at zero (depolarization) membrane potential (i.e., known as the chemical component of free energy change in ion channels) is shown to be equivalent to the free energy difference between the two "equilibrium" (resting and activated) conformational states along the one-dimensional voltage couplin reaction coordinate. Furthermore, the requirement that the application of linear response approximation to the free energy functionals of voltage coupling should satisfy the general free energy relations, yields a novel closed-form expression for the gating charge in terms of other basic properties of ion channels. This connection is familiar in statistical mechanics, known as the equilibrium fluctuation-response relation. The theory is illustrated by considering the coupling of a unit charge to the external voltage in the two sites near the surface of membrane, representing the activated and resting states. This is done using a coarse-graining (CG) model of membrane proteins, which includes the membrane, the electrolytes and the electrodes. The CG model yields Marcus-type voltage dependent free energy parabolas for the response of the electrostatic environment (electrolytes etc.) to the transition from the initial to the final configuratinal states, leading to equilibrium free energy difference and free energy barrier that follow the trend of the equilibrium fluctuation relation and the Marcus theory of electron transfer. These energetics also allow for a direct estimation of the voltage dependence of channel activation (Q-V curve), offering a quantitative rationale for a correlation between the voltage dependence parabolas and the Q-V curve, upon site-directed mutagenesis or drug binding. Taken together, by introducing the voltage coupling as the energy gap reaction coordinate, our framework brings new perspectives to the thermodynamic models of voltage activation in voltage-sensitive membrane proteins, offering an a framework for a better understating of the structure-function correlations of voltage gating in ion channels as well as electrogenic phenomena in ion pumps and transporters. Significantly, this formulation also provides a powerful bridge between the CG model of voltage coupling and the conventional macroscopic treatments.

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Equilibrium relations between the oxidation-reduction reactions and the adenosine triphosphate synthesis in suspensions of isolated liver cells.

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