Electron tunneling chains of mitochondria

The single, simple concept that natural selection adjusts distances between redox cofactors goes a long way towards encompassing natural electron transfer protein design. Distances are short or long as required to direct or insulate promiscuously tunneling single electrons. Along a chain, distances are usually 14 A or less. Shorter distances are needed to allow climbing of added energetic barriers at paired-electron catalytic centers in which substrate and the required number of cofactors form a compact cluster. When there is a short-circuit danger, distances between shorting centers are relatively long. Distances much longer than 14 A will support only very slow electron tunneling, but could act as high impedance signals useful in regulation. Tunneling simulations of the respiratory complexes provide clear illustrations of this simple engineering.     

Electron tunneling through proteins

Electron transfer processes are vital elements of energy transduction pathways in living cells. More than a half century of research has produced a remarkably detailed understanding of the factors that regulate these 'currents of life'. We review investigations of Ru-modified proteins that have delineated the distance- and driving-force dependences of intra-protein electron-transfer rates. We also discuss electron transfer across protein-protein interfaces that has been probed both in solution and in structurally characterized crystals. It is now clear that electrons tunnel between sites in biological redox chains, and that protein structures tune thermodynamic properties and electronic coupling interactions to facilitate these reactions. Our work has produced an experimentally validated timetable for electron tunneling across specified distances in proteins. Many electron tunneling rates in cytochrome c oxidase and photosynthetic reaction centers agree well with timetable predictions, indicating that the natural reactions are highly optimized, both in terms of thermodynamics and electronic coupling. The rates of some reactions, however, significantly exceed timetable predictions: it is likely that multistep tunneling is responsible for these anomalously rapid charge transfer events.     

Biological electron transfer

Many oxidoreductases are constructed from (a) local sites of strongly coupled substrate-redox cofactor partners participating in exchange of electron pairs, (b) electron pair/single electron transducing redox centers, and (c) nonadiabatic, long-distance, single-electron tunneling between weakly coupled redox centers. The latter is the subject of an expanding experimental program that seeks to manipulate, test, and apply the parameters of theory. New results from the photosynthetic reaction center protein confirm that the electronic-tunneling medium appears relatively homogeneous, with any variances evident having no impact on function, and that control of intraprotein rates and directional specificity rests on a combination of distance, free energy, and reorganization energy. Interprotein electron transfer between cytochromec and the reaction center and in lactate dehydrogenase, a typical oxidoreductase from yeast, are examined. Rates of interprotein electron transfer appear to follow intraprotein guidelines with the added essential provision of binding forces to bring the cofactors of the reacting proteins into proximity.     

Photo-induced charge transfer. A critical test of the mechanism and range of biological electron transfer processes.

The vibronic coupling theory of electron tunneling between biomolecules requires that all such tunnelings involve vibronic coupling, finds temperature dependence to tunneling at finite temperatures, and predicts relatively short tunneling distances. This theory might be expected to apply to most electron transfers involved in the membrane-bound electron transfer reactions of photosynthesis and oxidative phosphorylation. This paper calculates the properties of a weak charge-transfer optical absorption band, whose predicted characteristics are a direct and simple consequence of the model that describes vibronically coupled tunneling. The new absorption band provides the basis for a critical experimental test of the constructs and parameters of the tunneling theory. If the tunneling theory is valid, the oscillator strength of such bands will be the most reliable measure of the tunneling matrix element and of the distance between the sites exchanging an electron.     

Characterization of Electron Tunneling and Hole Hopping Reactions between Different Forms of MauG and Methylamine Dehydrogenase within a Natural Protein Complex

Respiration, photosynthesis, and metabolism require the transfer of electrons through and between proteins over relatively long distances. It is critical that this electron transfer (ET) occur with specificity to avoid cellular damage, and at a rate that is sufficient to support the biological activity. A multistep hole hopping mechanism could, in principle, enhance the efficiency of long-range ET through proteins as it does in organic semiconductors. To explore this possibility, two different ET reactions that occur over the same distance within the protein complex of the diheme enzyme MauG and different forms of methylamine dehydrogenase (MADH) were subjected to kinetic and thermodynamic analysis. An ET mechanism of single-step direct electron tunneling from diferrous MauG to the quinone form of MADH is consistent with the data. In contrast, the biosynthetic ET from preMADH, which contains incompletely synthesized tryptophan tryptophylquinone, to the bis-Fe(IV) form of MauG is best described by a two-step hole hopping mechanism. Experimentally determined ET distances matched the distances determined from the crystal structure that would be expected for single-step tunneling and multistep hopping. Experimentally determined relative values of electronic coupling (H(AB)) for the two reactions correlated well with the relative H(AB) values predicted from computational analysis of the structure. The rate of the hopping-mediated ET reaction is also 10-fold greater than that of the single-step tunneling reaction despite a smaller overall driving force for the hopping-mediated ET reaction. These data provide insight into how the intervening protein matrix and redox potentials of the electron donor and acceptor determine whether the ET reaction proceeds via single-step tunneling or multistep hopping.     

Tunneling in PSII.

With available high resolution structures of PSII and a collection of reported redox midpoint potentials for most of the cofactors, it is possible to compare the expected electron tunneling rates with experimental rates to determine which electron transfer reactions are likely to reflect simply engineered electron tunneling, and which are more sophisticated and associated with large product rearrangements or the making and breaking of bonds. Reliable reorganization energies are largely lacking in this photosystem compared to PSI and purple bacteria and contribute about an order of magnitude uncertainty in tunneling rate estimates. Nevertheless it seems clear that as in purple bacterial reaction centers and PSI, with the notable exception of the oxygen evolving center, the majority of electron transfers within PSII are electron-tunneling limited at room temperature. Tunneling simulations also suggest that the short circuit between pheophytin and the adjacent chlorophyll cation may be fast enough to challenge triplet decay as the principle means of charge recombination from Q(A)(-) at room temperature.     

Distance metrics for heme protein electron tunneling

There is no doubt that distance is the principal parameter that sets the order of magnitude for electron-tunneling rates in proteins. However, there continue to be varying ways to measure electron-tunneling distances in proteins. This distance uncertainty blurs the issue of whether the intervening protein medium has been naturally selected to speed or slow any particular electron-tunneling reaction. For redox cofactors lacking metals, an edge of the cofactor can be defined that approximates the extent in space that includes most of the wavefunction associated with its tunneling electron. Beyond this edge, the wavefunction tails off much more dramatically in space. The conjugated porphyrin ring seems a reasonable edge for the metal-free pheophytins and bacteriopheophytins of photosynthesis. For a metal containing redox cofactor such as heme, an appropriate cofactor edge is more ambiguous. Electron-tunneling distance may be measured from the conjugated heme macrocycle edge or from the metal, which can be up to 4.8 A longer. In a typical protein medium, such a distance difference normally corresponds to a approximately 1000 fold decrease in tunneling rate. To address this ambiguity, we consider both natural heme protein electron transfer and light-activated electron transfer in ruthenated heme proteins. We find that the edge of the conjugated heme macrocycle provides a reliable and useful tunneling distance definition consistent with other biological electron-tunneling reactions. Furthermore, with this distance metric, heme axially- and edge-oriented electron transfers appear similar and equally well described by a simple square barrier tunneling model. This is in contrast to recent reports for metal-to-metal metrics that require exceptionally poor donor/acceptor couplings to explain heme axially-oriented electron transfers.     

Cupredoxins--a study of how proteins may evolve to use metals for bioenergetic processes

Cupredoxins are small proteins that contain type I copper centers, which are ubiquitous in nature. They function as electron transfer shuttles between proteins. This review of the structure and properties of native cupredoxins, and those modified by site-directed mutagenesis, illustrates how these proteins may have evolved to specifically bind copper, develop recognition sites for specific redox partners, tune redox potential for a particular function, and allow for efficient electron transfer through the protein matrix. This is relevant to the general understanding of the roles of metals in energy metabolism, respiration and photosynthesis.     

Electrostatic interaction between redox cofactors in photosynthetic reaction centers

Intramolecular electron transfer within proteins is an essential process in bioenergetics. Redox cofactors are embedded in proteins, and this matrix strongly influences their redox potential. Several cofactors are usually found in these complexes, and they are structurally organized in a chain with distances between the electron donor and acceptor short enough to allow rapid electron tunneling. Among the different interactions that contribute to the determination of the redox potential of these cofactors, electrostatic interactions are important but restive to direct experimental characterization. The influence of interaction between cofactors is evidenced here experimentally by means of redox titrations and time-resolved spectroscopy in a chimeric bacterial reaction center (Maki, H., Matsuura, K., Shimada, K., and Nagashima, K. V. P. (2003) J. Biol. Chem. 278, 3921-3928) composed of the core subunits of Rubrivivax gelatinosus and the tetraheme cytochrome of Blastochloris viridis. The absorption spectra and orientations of the various cofactors of this chimeric reaction center are similar to those found in their respective native protein, indicating that their local environment is conserved. However, the redox potentials of both the primary electron donor and its closest heme are changed. The redox potential of the primary electron donor is downshifted in the chimeric reaction center when compared with the wild type, whereas, conversely, that of its closet heme is upshifted. We propose a model in which these reciprocal shifts in the midpoint potentials of two electron transfer partners are explained by an electrostatic interaction between them.     

Redox tuning of the catalytic activity of soluble fumarate reductases from Shewanella

Many enzymes involved in bioenergetic processes contain chains of redox centers that link the protein surface, where interaction with electron donors or acceptors occurs, to a secluded catalytic site. In numerous cases these redox centers can transfer only single electrons even when they are associated to catalytic sites that perform two-electron chemistry. These chains provide no obvious contribution to enhance chemiosmotic energy conservation, and often have more redox centers than those necessary to hold sufficient electrons to sustain one catalytic turnover of the enzyme. To investigate the role of such a redox chain we analyzed the transient kinetics of fumarate reduction by two flavocytochromes c₃ of Shewanella species while these enzymes were being reduced by sodium dithionite. These soluble monomeric proteins contain a chain of four hemes that interact with a flavin adenine dinucleotide (FAD) catalytic center that performs the obligatory two electron–two proton reduction of fumarate to succinate. Our results enabled us to parse the kinetic contribution of each heme towards electron uptake and conduction to the catalytic center, and to determine that the rate of fumarate reduction is modulated by the redox stage of the enzyme, which is defined by the number of reduced centers. In both enzymes the catalytically most competent redox stages are those least prevalent in a quasi-stationary condition of turnover. Furthermore, the electron distribution among the redox centers during turnover suggested how these enzymes can play a role in the switch between respiration of solid and soluble terminal electron acceptors in the anaerobic bioenergetic metabolism of Shewanella.     

Electrical circuitry in biology: emerging principles from protein structure

The rate of electron transfer by tunnelling decreases exponentially with distance, but is generally not rate limiting for distances up to 14A, enabling the robust design of redox systems. Fast transfer over distances greater than 14A is accomplished using diffusible electron carriers, an array of closely spaced redox centres or large-scale motion of a redox-active domain. Recent advances indicate that all three mechanisms are used in interprotein electron transfer. The classic stratagem, diffusible electron carriers, may be extended with either of the other designs. The use of an array of solvent-exposed, closely spaced redox centres can maximise productive collisions. Also, the use of conformational sampling via domain motion within the electron transfer complex optimises tunnelling probability.     

Crystal structure of quinohemoprotein alcohol dehydrogenase from Comamonas testosteroni: structural basis for substrate oxidation and electron transfer.

Quinoprotein alcohol dehydrogenases are redox enzymes that participate in distinctive catabolic pathways that enable bacteria to grow on various alcohols as the sole source of carbon and energy. The x-ray structure of the quinohemoprotein alcohol dehydrogenase from Comamonas testosteroni has been determined at 1.44 A resolution. It comprises two domains. The N-terminal domain has a beta-propeller fold and binds one pyrroloquinoline quinone cofactor and one calcium ion in the active site. A tetrahydrofuran-2-carboxylic acid molecule is present in the substrate-binding cleft. The position of this oxidation product provides valuable information on the amino acid residues involved in the reaction mechanism and their function. The C-terminal domain is an alpha-helical type I cytochrome c with His(608) and Met(647) as heme-iron ligands. This is the first reported structure of an electron transfer system between a quinoprotein alcohol dehydrogenase and cytochrome c. The shortest distance between pyrroloquinoline quinone and heme c is 12.9 A, one of the longest physiological edge-to-edge distances yet determined between two redox centers. A highly unusual disulfide bond between two adjacent cysteines bridges the redox centers. It appears essential for electron transfer. A water channel delineates a possible pathway for proton transfer from the active site to the solvent.     

Flavodoxin-mediated electron transfer from photosystem I to ferredoxin-NADP+ reductase in Anabaena: role of flavodoxin hydrophobic residues in protein-protein interactions

Three surface hydrophobic residues located at the Anabaena flavodoxin (Fld) putative complex interface with its redox partners were replaced by site-directed mutagenesis. The effects of these replacements on Fld interaction with both its physiological electron donor, photosystem I (PSI), and its electron acceptor, ferredoxin-NADP+ reductase (FNR), were analyzed. Trp57, Ile59, and Ile92 contributed to the optimal orientation and tightening of the FNR:Fld and PSI:Fld complexes. However, these side chains did not appear to be involved in crucial specific interactions, but rather contributed to the obtainment of the optimal orientation and distance of the redox centers required for efficient electron transfer. This supports the idea that the interaction of Fld with its partners is less specific than that of ferredoxin and that more than one orientation is efficient for electron transfer in these transient complexes. Additionally, for some of the analyzed processes, WT Fld seems not to be the most optimized molecular species. Therefore, subtle changes at the isoalloxazine environment not only influence the Fld binding abilities, but also modulate the electron exchange processes by producing different orientations and distances between the redox centers. Finally, the weaker apoflavodoxin interaction with FNR suggests that the solvent-accessible region of FMN plays a role either in complex formation with FNR or in providing the adequate conformation of the FNR binding region in Fld.     

Energy saving electron pathways in proteins

This paper is a contribution to the discussion of whether the general architecture of electron transfer sites in blue copper proteins is mainly a result of the structural preferences of the metal ion or is induced by the protein. Although the site is probably stable only when protected by the protein, there appears to be no strain from the latter on the structure in the vicinity of the copper atom. For an operative redox site it is further required that the geometry of the site is acceptable for both oxidation states, to avoid high reorganization energy. The site must also be connected to the outer world by suitable tunneling pathways. The blue copper sites appear to fulfill these requirements, but it is difficult to assess the role of evolutionary pressure to form electron transfer proteins in general.     

Electron transfer in proteins: in search of preferential pathways

Electron migration between and within proteins is one of the most prevalent forms of biological energy conversion processes. Electron transfer reactions take place between active centers such as transition metal ions or organic cofactors over considerable distances at fast rates and with remarkable specificity. The electron transfer is attained through weak electronic interaction between the active sites, so that considerable research efforts are centered on resolving the factors that control the rates of long-distance electron transfer reactions in proteins. These factors include (in addition to the distance and nature of the microenvironment separating the reactants) thermodynamic driving force and the configurational changes required upon reaction. Several of these aspects are addressed in this review, which is based primarily on recent work performed by the authors on model systems of blue copper-containing proteins. These proteins serve almost exclusively in electron transfer reactions, and as it turns out, their metal coordination sites are endowed with properties uniquely optimized for their function.     

Role of intramolecular vibrations in long-range electron transfer between pheophytin and ubiquinone in bacterial photosynthetic reaction centers

The dynamics of the elementary electron transfer step between pheophytin and primary ubiquinone in bacterial photosynthetic reaction centers is investigated by using a discrete state approach, including only the intramolecular normal modes of vibration of the two redox partners. The whole set of normal coordinates of the acceptor and donor groups have been employed in the computations of the Hamiltonian matrix, to reliably account both for shifts and mixing of the normal coordinates, and for changes in vibrational frequencies upon ET. It is shown that intramolecular modes provide not only a discrete set of states more strongly coupled to the initial state but also a quasicontinuum of weakly coupled states, which account for the spreading of the wave packet after ET. The computed transition probabilities are sufficiently high for asserting that electron transfer from bacteriopheophytin to the primary quinone can occur via tunneling solely promoted by intramolecular modes; the transition times, computed for different values of the electronic energy difference and coupling term, are of the same order of magnitude (10(2) ps) of the observed one.     

Electron flow through metalloproteins

Electron transfers in photosynthesis and respiration commonly occur between metal-containing cofactors that are separated by large molecular distances. Understanding the underlying physics and chemistry of these biological electron transfer processes is the goal of much of the work in our laboratories. Employing laser flash-quench triggering methods, we have shown that 20 Å, coupling-limited Fe(II) to Ru(III) and Cu(I) to Ru(III) electron tunneling in Ru-modified cytochromes and blue copper proteins can occur on the microsecond timescale both in solutions and crystals; and, further, that analysis of these rates suggests that distant donor-acceptor electronic couplings are mediated by a combination of sigma and hydrogen bonds in folded polypeptide structures. Redox equivalents can be transferred even longer distances by multistep tunneling, often called hopping, through intervening amino acid side chains. In recent work, we have found that 20 Å hole hopping through an intervening tryptophan is several hundred-fold faster than single-step electron tunneling in a Re-modified blue copper protein.     

Functional LH1 antenna complexes influence electron transfer in bacterial photosynthetic reaction centers

The effect of the light harvesting 1 (LH1) antenna complex on the driving force for light-driven electron transfer in the Rhodobacter sphaeroides reaction center has been examined. Equilibrium redox titrations show that the presence of the LH1 antenna complex influences the free energy change for the primary electron transfer reaction through an effect on the reduction potential of the primary donor. A lowering of the redox potential of the primary donor due to the presence of the core antenna is consistently observed in a series of reaction center mutants in which the reduction potential of the primary donor was varied over a 130 mV range. Estimates of the magnitude of the change in driving force for charge separation from time-resolved delayed fluorescence measurements in the mutant reaction centers suggest that the mutations exert their effect on the driving force largely through an influence on the redox properties of the primary donor. The results demonstrate that the energetics of light-driven electron transfer in reaction centers are sensitive to the environment of the complex, and provide indirect evidence that the kinetics of electron transfer are modulated by the presence of the LH1 antenna complexes that surround the reaction center in the natural membrane.     

Protonmotive cooperativity in cytochrome c oxidase

Cooperative linkage of solute binding at separate binding sites in allosteric proteins is an important functional attribute of soluble and membrane bound hemoproteins. Analysis of proton/electron coupling at the four redox centers, i.e. Cu(A), heme a, heme a(3) and Cu(B), in the purified bovine cytochrome c oxidase in the unliganded, CO-liganded and CN-liganded states is presented. These studies are based on direct measurement of scalar proton translocation associated with oxido-reduction of the metal centers and pH dependence of the midpoint potential of the redox centers. Heme a (and Cu(A)) exhibits a cooperative proton/electron linkage (Bohr effect). Bohr effect seems also to be associated with the oxygen-reduction chemistry at the heme a(3)-Cu(B) binuclear center. Data on electron transfer in cytochrome c oxidase are also presented, which, together with structural data, provide evidence showing the occurrence of direct electron transfer from Cu(A) to the binuclear center in addition to electron transfer via heme a. A survey of structural and functional data showing the essential role of cooperative proton/electron linkage at heme a in the proton pump of cytochrome c oxidase is presented. On the basis of this and related functional and structural information, variants for cooperative mechanisms in the proton pump of the oxidase are examined.     

Protons,pumps, and potentials: Control of cytochrome oxidase

Cytochromec oxidase oxidizes cytochromec and reduces molecular oxygen to water. When the enzyme is embedded across a membrane, this process generates electrical and pH gradients, and these gradients inhibit enzyme turnover. This respiratory control process is seen both in intact mitochondria and in reconstituted proteoliposomes. Generation of pH gradients and their role in respiratory control are described. Both electron and proton movement seem to be implicated. A topochemical arrangement of redox centers, like that in the photosynthetic reaction center and the cytochromebc ₁ complex, ensures charge separation as a result of electron movement. Proton translocation does not require such a topology, although it does require alternating access to the two sides of the membrane by proton-donating and accepting groups. The sites of respiratory control within the enzyme are discussed and a model presented for electron transfer and proton pumping by the oxidase in the light of current knowledge of the transmembranous location of the redox centers involved.