Harmonic oscillators: the quantization of simple systems in the old quantum theory and their functional roles in biology

This article introduces quantum physics into biology in an intuitive and non-intimidating manner. It extends the quantum aspects of harmonic oscillators, and electromagnetic fields, to their functional roles in biology. Central to this process are the De Broglie wave-particle duality equation, and the adiabatic invariant parameters, magnetic moment, angular momentum and magnetic flux, determined by Ehrenfest as imposing quantum constraints on the dynamics of charges in motion. In mechanisms designed to explain the generation of low-level light emissions in biology we have adopted a biological analog of the electrical circuitry modeled on the parallel plated capacitor, traversed by helical protein structures, capable of generating electromagnetic radiation in the optical spectral region. The charge carrier required for the emissions is an accelerating electron driven, in a cyclotron-type mechanism, by ATP-induced reverse electron transfer with the radial, emission, components, mediated by coulombic forces within the helical configurations. Adenine, an essential nucleotide constituent of DNA, was examined with its long wavelength absorption maximum determining the energetic parameters for the calculations. The calculations were made for a virtual 5-turn helix where each turn of the helix emits a different frequency, generating a biological quantum series. The components of six adiabatic invariant equations were found to be embedded in Planck's constant rendering them discrete, finite, non-random, non-statistical-Planck's constant precludes probability. A mechanism for drug-induced hallucination is described that might provide insights as to the possible role of electromagnetic fields in consciousness. Sodium acceleration through a proposed nerve membrane helical channel generated electromagnetic emissions in the microwave region in confirmation of reported microwave emission for active nerves and may explain saltatory nerve conduction. Theoretical calculations for a helical DNA system gave a conduction resistance in agreement with a experimentally determined parameter.     

A model for NADH-tetrazolium reductase

Summary In the presence of light, reduced nicotinamide adenine dinucleotide (NADH) and riboflavin formed a complex which was able to reduce certain tetrazolium salts. Neither NADH (10^–3 M) nor riboflavin (10^–4 M) alone was able to induce tetrazolium reduction in the presence of oxygen, but in a nitrogen atmosphere photoreduction of riboflavin induced reduction of tetrazolium salts. Only electrophilic nitro and thiazolyl substituted tetrazolium salts with more positive redox potentials were reduced by the NADH-riboflavin complex, and only monoformazans were produced from the ditetrazolium salts. The reduction kinetics of these tetrazolium salts are given, and the spectral area capable for induction of electron transfer in the NADH-riboflavin complex is screened. It is concluded that the electron transfer in flavin nucleotide dependent dehydrogenase systems will probably proceed without direct interference with the apoenzyme. This may have practical implications for the histochemistry of tetrazolium reductases especially as regards fixation. The catalytic action of light on tetrazolium reduction should also be taken into consideration when tetrazolium salts are used as electron acceptors in a histochemical reaction.     

Expression and characterization of ferredoxin and flavin adenine dinucleotide binding domains of the reductase component of soluble methane monooxygenase from Methylococcus capsulatus (Bath)

Soluble methane monooxygenase (sMMO) from Methylococcus capsulatus (Bath) catalyzes the selective oxidation of methane to methanol, the first step in the primary catabolic pathway of methanotrophic bacteria. A reductase (MMOR) mediates electron transfer from NADH through its FAD and [2Fe-2S] cofactors to the dinuclear non-heme iron sites housed in a hydroxylase (MMOH). The structurally distinct [2Fe-2S], FAD, and NADH binding domains of MMOR facilitated division of the protein into its functional ferredoxin (MMOR-Fd) and FAD/NADH (MMOR-FAD) component domains. The 10.9 kDa MMOR-Fd (MMOR residues 1-98) and 27.6 kDa MMOR-FAD (MMOR residues 99-348) were expressed and purified from recombinant Escherichia coli systems. The Fd and FAD domains have absorbance spectral features identical to those of the [2Fe-2S] and flavin components, respectively, of MMOR. Redox potentials, determined by reductive titrations that included indicator dyes, for the [2Fe-2S] and FAD cofactors in the domains are as follows: -205.2 +/- 1.3 mV for [2Fe-2S](ox/red), -172.4 +/- 2.0 mV for FAD(ox/sq), and -266.4 +/- 3.5 mV for FAD(sq/hq). Kinetic and spectral properties of intermediates observed in the reaction of oxidized MMOR-FAD (FAD(ox)) with NADH at 4 degrees C were established with stopped-flow UV-visible spectroscopy. Analysis of the influence of pH on MMOR-FAD optical spectra, redox potentials, and NADH reaction kinetics afforded pK(a) values for the semiquinone (FAD(sq)) and hydroquinone (FAD(hq)) MMOR-FAD species and two protonatable groups near the flavin cofactor. Electron transfer from MMOR-FAD(hq) to oxidized MMOR-Fd is extremely slow (k = 1500 M(-1) s(-1) at 25 degrees C, compared to 90 s(-1) at 4 degrees C for internal electron transfer between cofactors in MMOR), indicating that cofactor proximity is essential for efficient interdomain electron transfer.     

Tetrazolium Reduction by Guard Cells in Abaxial Epidermis of Vicia faba: Blue Light Stimulation of a Plasmalemma Redox System

The stomata in the abaxial epidermis of Vicia faba were examined for the location of redox systems using tetrazolium salts. Three distinct redox systems could be demonstrated: chloroplast, mitochondrial, and plasmalemma. The chloroplast activity required light and NADP. Mitochondrial activity required added NADH and was suppressed by preincubation with KCN. The plasmalemma redox system in guard cells also required NADH, but was insensitive to KCN and was stimulated by blue light. The involvement of an NADH dehydrogenase in the blue light stimulated redox system in guard cells was suggested by the sensitivity to plantanetin, an inhibitor of NADH dehydrogenase. The redox system of mitochondria was the most active followed by that of plasmalemma. The activity of chloroplasts was the least among the three redox systems. The plasmalemma mediated tetrazolium reduction was stimulated by exogenous flavins and suppressed by Kl or phenylacetate, inhibitors of flavin excitation. We therefore conclude that an NADH-dependent, flavin mediated electron transport system, sensitive to blue light, operates in the plasmalemma of guard cells.     

On the stability of Suydam modes in a nonuniformly rotating plasma

A simplified wave equation is derived that describes both Suydam modes in a nonuniformly rotating plasma column in a helical magnetic field and related flute modes. A study is made of a low-pressure plasma under the assumption that the azimuthal component of the magnetic field is much weaker than the axial component. It is shown that, when the monotonic radial variation of the plasma rotation velocity is sufficiently sharp, the plasma core becomes stable against short-wavelength Suydam modes. The instabilities that can develop in a nonuniformly rotating plasma are classified.     

Molecular mechanism of metabolic NAD(P)H-dependent electron-transfer systems: The role of redox cofactors

NAD(P)H-dependent electron-transfer (ET) systems require three functional components: a flavin-containing NAD(P)H-dehydrogenase, one-electron carrier and metal-containing redox center. In principle, these ET systems consist of one-, two- and three-components, and the electron flux from pyridine nucleotide cofactors, NADPH or NADH to final electron acceptor follows a linear pathway: NAD(P)H?→?flavin?→?one-electron carrier?→?metal containing redox center. In each step ET is primarily controlled by one- and two-electron midpoint reduction potentials of protein-bound redox cofactors in which the redox-linked conformational changes during the catalytic cycle are required for the domain-domain interactions. These interactions play an effective ET reactions in the multi-component ET systems. The microsomal and mitochondrial cytochrome P450 (cyt P450) ET systems, nitric oxide synthase (NOS) isozymes, cytochrome b₅ (cyt b₅) ET systems and methionine synthase (MS) ET system include a combination of multi-domain, and their organizations display similarities as well as differences in their components. However, these ET systems are sharing of a similar mechanism. More recent structural information obtained by X-ray and cryo-electron microscopy (cryo-EM) analysis provides more detail for the mechanisms associated with multi-domain ET systems. Therefore, this review summarizes the roles of redox cofactors in the metabolic ET systems on the basis of one-electron redox potentials. In final Section, evolutionary aspects of NAD(P)H-dependent multi-domain ET systems will be discussed.     

Real-time optical studies of respiratory Complex I turnover

Reduction of Complex I (NADH:ubiquinone oxidoreductase I) from Escherichia coli by NADH was investigated optically by means of an ultrafast stopped-flow approach. A locally designed microfluidic stopped-flow apparatus with a low volume (0.2 μl) but a long optical path (10 mm) cuvette allowed measurements in the time range from 270 μs to seconds. The data acquisition system collected spectra in the visible range every 50 μs. Analysis of the obtained time-resolved spectral changes upon the reaction of Complex I with NADH revealed three kinetic components with characteristic times of < 270 μs, 0.45–0.9 ms and 3–6 ms, reflecting reduction of different FeS clusters and FMN. The rate of the major (τ = 0.45–0.9 ms) component was slower than predicted by electron transfer theory for the reduction of all FeS clusters in the intraprotein redox chain. This delay of the reaction was explained by retention of NAD⁺ in the catalytic site. The fast optical changes in the time range of 0.27–1.5 ms were not altered significantly in the presence of 10-fold excess of NAD⁺ over NADH. The data obtained on the NuoF E95Q variant of Complex I shows that the single amino acid replacement in the catalytic site caused a strong decrease of NADH binding and/or the hydride transfer from bound NADH to FMN.     

Estimation of P-to-O ratio in Bacillus subtilis and its influence on maximum riboflavin yield.

Simultaneous growth and riboflavin overproduction were investigated using a previously developed stoichiometric model of Bacillus subtilis metabolism. A fit of model predictions to experimental data was used to obtain estimates of fundamental energetic parameters of B. subtilis. Although multiple solutions describe the experimental data, evidence for a P-to-O ratio of about 1(1/3) mole of ATP produced per atom of oxygen consumed in oxidative phosphorylation was provided by genomic analysis of electron transport components, because no homologue of the proton-translocating NADH dehydrogenase I was found in the B. subtilis genome database. These results allow us to devise a rational metabolic engineering strategy to improve riboflavin production. The potential influence of increased energy coupling in oxidative phosphorylation on riboflavin yield is discussed. Higher coupling is most significant under carbon-limiting conditions in slow-growing cells, that is, in fed-batch processes of industrial interest.     

Electron transfer reactions in the soluble methane monooxygenase of Methylococcus capsulatus (Bath)

Aerobic stopped-flow experiments have confirmed that component C is the methane monooxygenase component responsible for interaction with NADH. Reduction of component C by NADH is not the rate-limiting step for component C in the methane monooxygenase reaction. Removal and reconstitution of the redox centres of component C suggest a correlation between the presence of the FAD and Fe2S2 redox centres and NADH: acceptor reductase activity and methane monooxygenase activity respectively, consistent with the order of electron flow: NADH----FAD----Fe2S2----component A. This order suggests that component C functions as a 2e-1/1e-1 transformase, splitting electron pairs from NADH for transfer to component A via the one-electron-carrying Fe2S2 centre. Electron transfer has been demonstrated between the reductase component, component C and the oxygenase component, component A, of the methane monooxygenase complex from Methylococcus capsulatus (Bath) by three separate methods. This intermolecular electron transfer step is not rate-determining for the methane monooxygenase reaction. Intermolecular electron transfer was independent of component B, the third component of the methane monooxygenase. Component B is required to switch the oxidase activity of component A to methane mono-oxygenase activity, suggesting that the role of component B is to couple substrate oxidation to electron transfer, via the methane monooxygenase components.     

Rhein as an electron acceptor for various flavoproteins and for electron transport particles

Rhein (4,5-dihydroxyanthraquinone-2-carboxylic acid) which has been previously employed as an inhibitor for electron transport particles, NADH dehydrogenase, and other flavoproteins is reducible under physiological conditions. Soluble hydrogenase from Alcaligenes eutrophus H 16, several flavoproteins, and electron transport particles from baker's yeast and from beef heart were found to catalyse NADH oxidation with 9 micrometers to 2mM rhein as the electron acceptor. Dithionite or enzymatically reduced rhein (lambda max = 408 nm) is immediately reoxidized to rhein lambda max = 437 nm) by oxygen. Cyclovoltagrams reveal the midpoint redox potentials --0.240 V, -0.270 V, -0.280 V, -0.335 V at pH 6.0, 7.0, 7.7, 9.2, respectively. Due to its redox behaviour, caution should be exercised using rhein as a flavin-site-directed inhibitor for biological electron transfer systems.     

Characterization and partial purification of multiple electron transport activities in plasma membranes from maize (Zea mays) roots

The plasma membrane of eukaryotic cells contains endogenous, integral electron transport proteins. In the maize ( Zea mays L. cv. Golden Cross Bantam) root plasma membrane, these activities include NAD(P)H-ferricyanide reductase. NAD(P)H-duroquinone reductase (1.6.5.1) and NAD(P)H-ascorbate free-radical reductase (EC 1.6.5.4). Differences in degree of stimulation upon vesicle rupture with detergent and in specificities for pyridine nucleotides suggest that these activities constitute distinct components in the membranes. Solubilization of reductase activities was examined using Triton X-100 over a wide range of retergent-to-protein ratios. The Triton-solubilized enzymes were purified using dye-ligand affinity chromatography on Cibacron blue 3G-A agarose utilizing biospecific elution with NADH. Resolution of the redox activities was accomplished upon differential elution with 0.1.1.0 and 10 m M NADH. The distinctive characteristics of the enzymes and the differential chromatographic behavior of the respective activities provided evidence for the presence of separate enzymatic redox components in maize root plasma membranes with implications for an electron transfer chain.     

Location of monitorial fluorophores inCandida utilis

Summary The fluorescent spectra of whole broth, cell-free broth and resuspended cells were compared during the fermentation ofCandida utilis growing in ethanol for the purposes of identifying the location of monitorial fluorophores in cellular systems. Four cellular fluorophores, tryptophan, pyridoxine, NADH and riboflavin were examined. The results indicated that the fluorescence signal of tryptophan and NADH came mainly from intracellular fluorophores, and the fluorescence signal of pyridoxine and riboflavin mainly came from extracellular fluorophores. The contributions of intracellular and extracellular fluorophores to culture fluorescence signals were found to change during the fermentation.     

Aniline hydroxylase activities of haemoglobin: Kinetics and mechanism

The mechanism of the aniline hydroxylase activity of methaemoglobin in a monooxygenase system consisting of NADH as electron donor, riboflavin, FAD, FMN or methylene blue as electron carrier and methaemoglobin as the terminal oxidase has been studied. Hydrogen peroxide is produced from oxygen in a methaemoglobin-independent process. 4-Aminophenol is subsequently produced peroxidatively by an NADH-dependent process; NADH prevents a further oxidation of 4-aminophenol in the presence of haemoglobin. In the absence of electron carrier, NADH slowly reduces haemoglobin and then oxyhaemoglobin reacts with aniline to give 4-aminophenol. In the absence of electron donor and electron carrier, oxyhaemoglobin and aniline give rise to the reversible production of 4-aminophenol.     

Nanowiring of a redox enzyme by metallized peptides

A molecular assembly consisting of a redox enzyme, NADH peroxidase, a metallized double-helical peptide, and a gold nanoparticle immobilized onto a gold wire derivatized with a benzenedithiol compound, initiated and conducted redox signals in the presence of H(2)O(2) and NADH. The current generated by the binding of NADH, the electron donor, was transduced through the molecular assembly with apparently little loss of signal to the solution. The currents measured correlate to an electron transfer rate constant on the order of 3,000 s(-1) within each assembly. This electron transfer rate is two orders of magnitude higher than the endogenous electron transfer rate from NADH to the native enzyme, 27 s(-1). This rate indicates that the metallized peptide is in a conformation conducive for electron transfer and, in conjunction with the redox enzyme, can form effective conduits of electrical signals. This work demonstrates the feasibility of utilizing designed and highly efficient biomolecular assemblies for the production of ultra-sensitive, in-situ biosensors.     

Excitation of eosin when catalyzing electron transport in biochemical systems.

Phenols may participate in electron transport and, as such, catalyze the oxidation of NADH and of acetoacetate in the horseradish peroxidase/Mn²⁺/O₂ system. Eosin can be substituted for the phenol and, in this case, photon emission is observed. The spectrum is mainly eosin fluorescence in the case of NADH oxidation, whereas fluorescence and another emission—presumably phosphorescence—are observed during acetoacetate oxidation. This appears to be the first report of excitation of an electron carrier in biochemical systems.     

The existence and significance of redox-cycling ubiquinone in lysosomes

Summary Ubiquinone is inhomogeneously distributed in subcellular biomembranes. Apart from mitochondria, where ubiquinone was demonstrated to exert bioenergetic and pathophysiological functions, unusually high levels of ubiquinone were also reported to exist in Golgi vesicles and lysosomes. In lysosomes the interior differs from other organelles by the low pH value which is important not only to arrest proteins but also to ensure optimal activity of proteases. Since redox cycling of ubiquinone is associated with the acceptance and release of protons, we assumed that ubiquinone is a part of a redox chain contributing to unilateral proton distribution. A similar function of ubiquinone was earlier reported to exist in Golgi vesicles. Support for the involvement of ubiquinone in a presumed couple of redox carriers came from our observation that almost 70% of total lysosomal ubiquinone was in the divalently reduced state. Further reduction was seen in the presence of external NADH. Analysis of the components involved in the transfer of reducing equivalents from cytosolic NADH to ubiquinone revealed the existence of a flavin adenine dinucleotide-containing NADH dehydrogenase. The latter was found to reduce ubiquinone by means of ab-type cytochrome. Proton translocation into the interior was linked to the activity of the novel lysosomal redox chain. Oxygen was found to be the terminal electron acceptor thereby also regulating acidification of the lysosomal matrix. The role of the proton-pumping redox chain has to be elucidated.Abbreviations DMPO 5,5-dimethyl-1-pyrroline N-oxide - ESR electron spin resonance - FAD flavin adenine dinucleotide - UQ ubiquinone     

Potentiometric study of cytochrome c1aa3 from Thermus thermophilus

We have examined the redox behavior of the cytochrome c1aa3 complex from Thermus thermophilus. In potentiometric titrations the cytochrome c behaves as an independent center having n = 1 and E = 205 mV (NHE). Under the assumption that the individual centers equilibrate independently in this experiment, changes in the absorption band at 603 nm have been resolved into two components: cytochrome a (n = 1, Em = 270 mV, 60% spectral contribution) and cytochrome a3 (n = 2, Em = 360 mV, 40% spectral contribution). The n = 2 process was attributed to strong chemical coupling between cytochrome a3 and CuB. The enzyme was also titrated with a mixture of NADH and PMS, and the results are shown not to conform to a model of intramolecular equilibrium according to the equilibrium constants obtained from the potentiometric titration. It is suggested that a conformational equilibrium within the complex may control electron transfer between cytochromes a and a3.     

Preferential utilization of NADPH as the endogenous electron donor for NAD(P)H:quinone oxidoreductase 1 (NQO1) in intact pulmonary arterial endothelial cells

The goal was to determine whether endogenous cytosolic NAD(P)H:quinone oxidoreductase 1 (NQO1) preferentially uses NADPH or NADH in intact pulmonary arterial endothelial cells in culture. The approach was to manipulate the redox status of the NADH/NAD(+) and NADPH/NADP(+) redox pairs in the cytosolic compartment using treatment conditions targeting glycolysis and the pentose phosphate pathway alone or with lactate, and to evaluate the impact on the intact cell NQO1 activity. Cells were treated with 2-deoxyglucose, iodoacetate, or epiandrosterone in the absence or presence of lactate, NQO1 activity was measured in intact cells using duroquinone as the electron acceptor, and pyridine nucleotide redox status was measured in total cell KOH extracts by high-performance liquid chromatography. 2-Deoxyglucose decreased NADH/NAD(+) and NADPH/NADP(+) ratios by 59 and 50%, respectively, and intact cell NQO1 activity by 74%; lactate restored NADH/NAD(+), but not NADPH/NADP(+) or NQO1 activity. Iodoacetate decreased NADH/NAD(+) but had no detectable effect on NADPH/NADP(+) or NQO1 activity. Epiandrosterone decreased NQO1 activity by 67%, and although epiandrosterone alone did not alter the NADPH/NADP(+) or NADH/NAD(+) ratio, when the NQO1 electron acceptor duroquinone was also present, NADPH/NADP(+) decreased by 84% with no impact on NADH/NAD(+). Duroquinone alone also decreased NADPH/NADP(+) but not NADH/NAD(+). The results suggest that NQO1 activity is more tightly coupled to the redox status of the NADPH/NADP(+) than NADH/NAD(+) redox pair, and that NADPH is the endogenous NQO1 electron donor. Parallel studies of pulmonary endothelial transplasma membrane electron transport (TPMET), another redox process that draws reducing equivalents from the cytosol, confirmed previous observations of a correlation with the NADH/NAD(+) ratio.     

Investigation of the Edge Plasma Parameters and Measurements of the Plasma Longitudinal Rotation Velocity by a Mach Probe in a Lithium Experiment on the T-11M Tokamak

The edge plasma parameters were measured by means of a Mach probe in a lithium experiment on the T-11M tokamak. The angular and radial distributions of the ion saturation current, along with the radial distribution of the electron temperature, were obtained in different modes of tokamak operation. The radial distributions of the electron temperature and ion saturation current in the main operating mode (L-mode) revealed a peak in the scrape-off-layer of the vertical limiter (lithium emitter), which can indicate the formation of a magnetic island in this region. The measured plasma flow velocity along the magnetic field was found to be close to one-half of the ion sound velocity for Li⁺ ions.     

Domain engineering of the reductase component of soluble methane monooxygenase from Methylococcus capsulatus (Bath)

Soluble methane monooxygenase (sMMO) from Methylococcus capsulatus (Bath) is a three-component enzyme system that catalyzes the conversion of methane to methanol. A reductase (MMOR), which contains [2Fe-2S] and FAD cofactors, facilitates electron transfer from NADH to the hydroxylase diiron active sites where dioxygen activation and substrate hydroxylation take place. By separately expressing the ferredoxin (MMORFd, MMOR residues 1-98) and FAD/NADH (MMOR-FAD, MMOR residues 99-348) domains of the reductase, nearly all biochemical properties of full-length MMOR are retained, except for interdomain electron transfer rates. To investigate the extent to which rapid electron transfer between domains might be restored and further to explore the modularity of MMOR, MMOR-Fd and MMOR-FAD were connected in a non-native fashion. Four different linker sequences were employed to create MMOR reversed-domain (MMOR-RD) constructs, MMOR(99-342)-linker-MMOR(2-98), with a domain connectivity observed in other homologous oxidoreductases. The optical, redox, and electron transfer properties of the four MMOR-RD proteins were characterized and compared with those of wild-type MMOR. The linker sequence plays a key role in controlling solvent accessibility to the FAD cofactor, as evidenced by perturbed flavin optical spectra, decreased FADox/FADsq redox potentials, and increased steady-state oxidase activities in three of the constructs. Stopped-flow optical spectroscopy revealed slow interdomain electron transfer (k < 0.04 s(-1) at 4 degrees C, compared with 90 s(-1) for wild-type MMOR) for all three MMOR-RD proteins with 7-residue linkers. A long (14-residue), flexible linker afforded much faster electron transfer between the FAD and [2Fe-2S] cofactors (k = 0.9 s(-1) at 4 degrees C).