Rate-controlling steps of oxidative phosphorylation in rat liver mitochondria. A synoptic approach of model and experiment

The metabolic control theory: Its development and its application to mitochondrial oxidative phosphorylation

Metabolic Control Theory (MCT) and Metabolic Control Analysis (MCA) are the two sides, theoretical and experimental, of the measurement of the sensitivity of metabolic networks in the vicinity of a steady state. We will describe the birth and the development of this theory from the first analyses of linear pathways up to a global mathematical theory applicable to any metabolic network. We will describe how the theory, given the global nature of mitochondrial oxidative phosphorylation, solved the problem of what controls mitochondrial ATP synthesis and then how it led to a better understanding of the differential tissue expression of human mitochondrial pathologies and of the heteroplasmy of mitochondrial DNA, leading to the concept of the threshold effect.

Targeting Mitochondrial Singlet Oxygen Dynamics Offers New Perspectives for Effective Metabolic Therapies of Cancer

The occurrence of mitochondrial respiration has allowed evolution toward more complex and advanced life forms. However, its dysfunction is now also seen as the most probable cause of one of the biggest scourges in human health, cancer. Conventional cancer treatments such as chemotherapy, which mainly focus on disrupting the cell division process, have shown being effective in the attenuation of various cancers but also showing significant limits as well as serious sides effects. Indeed, the idea that cancer is a metabolic disease with mitochondria as the central site of the pathology is now emerging, and we provide here a review supporting this "novel" hypothesis re-actualizing past century Otto Warburg's thoughts. Our conclusion, while integrating literature, is that mitochondrial activity and, in particular, the activity of cytochrome c oxidase, complex IV of the ETC, plays a fundamental role in the effectiveness or non-effectiveness of chemotherapy, immunotherapy and probably radiotherapy treatments. We therefore propose that cancer cells mitochondrial singlet oxygen (¹O₂) dynamics may be an efficient target for metabolic therapy development.

Cell energy metabolism: An update

In living cells, growth is the result of coupling between substrate catabolism and multiple metabolic processes that take place during net biomass formation and maintenance processes. During growth, both ATP/ADP and NADH/NAD⁺ molecules play a key role. Cell energy metabolism hence refers to metabolic pathways involved in ATP synthesis linked to NADH turnover. Two main pathways are thus involved in cell energy metabolism: glycolysis/fermentation and oxidative phosphorylation. Glycolysis and mitochondrial oxidative phosphorylation are intertwined through thermodynamic and kinetic constraints that are reviewed herein. Further, our current knowledge of short-term and long term regulation of cell energy metabolism will be reviewed using examples such as the Crabtree and the Warburg effect.

Catalytic Coupling of Oxidative Phosphorylation, ATP Demand, and Reactive Oxygen Species Generation

Competing models of mitochondrial energy metabolism in the heart are highly disputed. In addition, the mechanisms of reactive oxygen species (ROS) production and scavenging are not well understood. To deepen our understanding of these processes, a computer model was developed to integrate the biophysical processes of oxidative phosphorylation and ROS generation. The model was calibrated with experimental data obtained from isolated rat heart mitochondria subjected to physiological conditions and workloads. Model simulations show that changes in the quinone pool redox state are responsible for the apparent inorganic phosphate activation of complex III. Model simulations predict that complex III is responsible for more ROS production during physiological working conditions relative to complex I. However, this relationship is reversed under pathological conditions. Finally, model analysis reveals how a highly reduced quinone pool caused by elevated levels of succinate is likely responsible for the burst of ROS seen during reperfusion after ischemia.

Virtual mitochondrion: towards an integrated model of oxidative phosphorylation complexes and beyond

The modelling of OXPHOS (oxidative phosphorylation) in order to integrate all kinetic and thermodynamic aspects of chemiosmotic theory has a long history. We briefly review this history and show how new ways of modelling are required to integrate a local model of the individual respiratory complexes into a global model of OXPHOS and, beyond that, into a reliable overall model of central metabolism.

Acetoacetate as regulator of palmitic acid-induced uncoupling involving liver mitochondrial ADP/ATP antiporter and aspartate/glutamate antiporter

The effect of acetoacetate on palmitate-induced uncoupling with the involvement of ADP/ATP antiporter and aspartate/glutamate antiporter has been studied in liver mitochondria. The incubation of mitochondria with acetoacetate during succinate oxidation in the presence of rotenone, oligomycin, and EGTA suppresses the accumulation of conjugated dienes. This is considered as a display of antioxidant effect of acetoacetate. Under these conditions, acetoacetate does not influence the respiration of mitochondria in the absence or presence of palmitate but eliminates the ability of carboxyatractylate or aspartate separately to suppress the uncoupling effect of this fatty acid. The action of acetoacetate is eliminated by beta-hydroxybutyrate or thiourea, but not by the antioxidant Trolox. In the absence of acetoacetate, the palmitate-induced uncoupling is limited by a stage sensitive to carboxyatractylate (ADP/ATP antiporter) or aspartate (aspartate/glutamate antiporter); in its presence, it is limited by a stage insensitive to the effect of these agents. In the presence of Trolox, ADP suppresses the uncoupling action of palmitate to the same degree as carboxyatractylate. Under these conditions, acetoacetate eliminates the recoupling effects of ADP and aspartate, including their joint action. This effect of acetoacetate is eliminated by beta-hydroxybutyrate or thiourea. It is supposed that the stimulating effect of acetoacetate is caused both by increase in the rate of transfer of fatty acid anion from the inner monolayer of the membrane to the outer one, which involves the ADP/ATP antiporter and aspartate/glutamate antiporter, and by elimination of the ability of ADP to inhibit this transport. Under conditions of excessive production of reactive oxygen species in mitochondria at a high membrane potential and in the presence of small amounts of fatty acids, such effect of acetoacetate can be considered as one of the mechanisms of antioxidant protection.

Bench-to-bedside review: Mitochondrial injury, oxidative stress and apoptosis--there is nothing more practical than a good theory

Apoptosis contributes to cell death in common intensive care unit disorders such as traumatic brain injury and sepsis. Recent evidence suggests that this form of cell death is both clinically relevant and a potential therapeutic target in critical illness. Mitochondrial reactive oxygen species (ROS) have become a target for drug discovery in recent years since their production is characteristic of early stages of apoptosis. Among many antioxidant agents, stable nitroxide radicals targeted to mitochondria have attracted attention due to their ability to combine electron and free radical scavenging action with recycling capacities. Specific mechanisms of enhanced ROS generation in mitochondria and their translation into apoptotic signals are not well understood. This review focuses on several contemporary aspects of oxidative stress-mediated mitochondrial injury, particularly as they relate to oxidation of lipids and their specific signaling roles in apoptosis and phagocytosis of apoptotic cells.

Flux control analysis of mitochondrial oxidative phosphorylation in rat skeletal muscle: pyruvate and palmitoyl-carnitine as substrates give different control patterns

Flux control analysis of eight reactions involved in oxidative phosphorylation of mitochondria from rat quadriceps muscle was performed under circumstances resembling in vivo conditions of carbohydrate or fatty acid oxidation. The major flux control at a respiration rate of 55% of state 3 was associated with the ADP-generating system, i.e., 0.58 +/- 0.05 with pyruvate, but significantly lower, 0.40 +/- 0.05, with palmitoyl-carnitine as substrate. The flux control coefficients of complex I, III and IV, the ATP synthase, the ATP/ADP carrier and the P(i) carrier were 0.070 +/- 0.03, 0.083 +/- 0.04, 0.054 +/- 0.01, 0.11 +/- 0.03, 0.090 +/- 0.03 and 0.026 +/- 0.01, respectively, with pyruvate as substrate. With palmitoyl-carnitine all control coefficients were significantly different, except for the P(i) carrier (i.e., 0.024 +/- 0.001, 0.036 +/- 0.01, 0.052 +/- 0.02, 0.020 +/- 0.002, 0.034 +/- 0.02 and 0.012 +/- 0.002, respectively), probably caused by the shift from NADH to FADH(2) oxidation. The sum of flux control coefficients was not significantly different from unity with pyruvate, while only 0.58 with palmitoyl-carnitine, indicating significant control contributions from the enzymes involved with the fatty acid oxidation or transport. Flux control of ADP generation was specifically tested at three different respiration rates, 30, 55 and 75% of state 3. At all respiration rates control was higher with pyruvate and pyruvate + palmitoyl-carnitine compared with palmitoyl-carnitine as substrate. Also the control was lower at 75% compared to 30% of the state 3 respiration both with pyruvate and pyruvate + palmitoyl-carnitine as substrate, suggesting that muscle respiration moves from "demand control" to "supply control" as respiration increases.

Modeling mitochondrial function

The mitochondrion represents a unique opportunity to apply mathematical modeling to a complex biological system. Understanding mitochondrial function and control is important since this organelle is critical in energy metabolism as well as playing key roles in biochemical synthesis, redox control/signaling, and apoptosis. A mathematical model, or hypothesis, provides several useful insights including a rigorous test of the consensus view of the operation of a biological process as well as providing methods of testing and creating new hypotheses. The advantages of the mitochondrial system for applying a mathematical model include the relative simplicity and understanding of the matrix reactions, the ability to study the mitochondria as a independent contained organelle, and, most importantly, one can dynamically measure many of the internal reaction intermediates, on line. The developing ability to internally monitor events within the metabolic network, rather than just the inflow and outflow, is extremely useful in creating critical bounds on complex mathematical models using the individual reaction mechanisms available. However, many serious problems remain in creating a working model of mitochondrial function including the incomplete definition of metabolic pathways, the uncertainty of using in vitro enzyme kinetics, as well as regulatory data in the intact system and the unknown chemical activities of relevant molecules in the matrix. Despite these formidable limitations, the advantages of the mitochondrial system make it one of the best defined mammalian metabolic networks that can be used as a model system for understanding the application and use of mathematical models to study biological systems.

Metabolic control of mitochondrial properties by adenine nucleotide translocator determines palmitoyl-CoA effects. Implications for a mechanism linking obesity and type 2 diabetes

Inhibition of the mitochondrial adenine nucleotide translocator (ANT) by long-chain acyl-CoA esters has been proposed to contribute to cellular dysfunction in obesity and type 2 diabetes by increasing formation of reactive oxygen species and adenosine via effects on the coenzyme Q redox state, mitochondrial membrane potential (Deltapsi) and cytosolic ATP concentrations. We here show that 5 microm palmitoyl-CoA increases the ratio of reduced to oxidized coenzyme Q (QH(2)/Q) by 42 +/- 9%, Deltapsi by 13 +/- 1 mV (9%), and the intramitochondrial ATP/ADP ratio by 352 +/- 34%, and decreases the extramitochondrial ATP/ADP ratio by 63 +/- 4% in actively phosphorylating mitochondria. The latter reduction is expected to translate into a 24% higher extramitochondrial AMP concentration. Furthermore, palmitoyl-CoA induced concentration-dependent H(2)O(2) formation, which can only partly be explained by its effect on Deltapsi. Although all measured fluxes and intermediate concentrations were affected by palmitoyl-CoA, modular kinetic analysis revealed that this resulted mainly from inhibition of the ANT. Through Metabolic Control Analysis, we then determined to what extent the ANT controls the investigated mitochondrial properties. Under steady-state conditions, the ANT moderately controlled oxygen uptake (control coefficient C = 0.13) and phosphorylation (C = 0.14) flux. It controlled intramitochondrial (C = -0.70) and extramitochondrial ATP/ADP ratios (C = 0.23) more strongly, whereas the control exerted over the QH(2)/Q ratio (C = -0.04) and Deltapsi (C = -0.01) was small. Quantitative assessment of the effects of palmitoyl-CoA showed that the mitochondrial properties that were most strongly controlled by the ANT were affected the most. Our observations suggest that long-chain acyl-CoA esters may contribute to cellular dysfunction in obesity and type 2 diabetes through effects on cellular energy metabolism and production of reactive oxygen species.

Virtual mitochondria: metabolic modelling and control

Inside the eukaryotic cell, mitochondria are internal organelles of prokaryotic origin, responsible for energy supply in the cell. The control of the mitochondrial ATP production is a complex problem with different patterns according to different tissues and organs. Our aim is to continue to develop the modelling of oxidative phosphorylation in different tissues, to model other parts of mitochondrial metabolism and to include this virtual mitochondria in a virtual cell. In constructing the complete metabolic map of mitochondria, we will take advantage of the sequenced genomes of eukaryotic organism (10-15% of the yeast genome concerns mitochondria).

Theoretical studies on the regulation of oxidative phosphorylation in intact tissues

The theoretical studies on the regulation of oxidative phosphorylation that were performed with the aid of kinetic models of this process are overviewed. A definition of the regulation of the flux through a metabolic pathway is proposed and opposed to the control exerted by particular enzymes over this flux. Different kinetic models of oxidative phosphorylation proposed in the literature are presented, of which only the model proposed by myself and co-workers was extensively used in theoretical studies on the regulation and compensation in the oxidative phosphorylation system. These theoretical studies have led to the following conclusions: (1) in isolated mitochondria, an increase in the activity of an artificial ATP-using system stimulates mitochondria mainly via changes in [ADP], while changes in [ATP] and [P(i)] play only a minor role; (2) in non-excitable tissues (e.g. liver), hormones (acting via some cytosolic factor(s)) activate directly both ATP usage and at least some enzymes of the ATP-producing block; (3) in excitable tissues (e.g. skeletal muscle), neural signals stimulate (via some cytosolic factor(s)) in parallel all the steps of oxidative phosphorylation together with ATP usage and substrate dehydrogenation; (4) the decrease in the flux through cytochrome oxidase caused by a decrease in oxygen concentration is, at least partially, compensated by a decrease in Delta p and increase in the reduction level of cytochrome c. A theoretical prediction is formulated that there should exist and be observable a universal cytosolic factor/regulatory mechanism which directly activates (at least in excitable tissues) all complexes of oxidative phosphorylation during an increased energy demand.

Simulation of state 4 → state 3 transition in isolated mitochondria

The mathematical dynamic model of oxidative phosphorylation developed previously and in the accompanying paper was modified to involve isolated mitochondria conditions; it was also used to simulate state 4 --> state 3 transition in rat liver mitochondria incubated with succinate as respiratory substrate and glucose-hexokinase as an ADP-regenerating system. Changes in the respiration rate, protonmotive force and reduction level of ubiquinone and cytochrome c as well as the internal (i) and external (e) ATP/ADP ratio between state 4 and state 3 were calculated and compared with the experimental data. Flux control coefficients with respect to oxygen consumption flux for different reactions and processes of oxidative phosphorylation were simulated for different values of the respiration rate (state 4, state 3 and intermediate states). Flux control coefficients for the oxidation, phosphorylation and proton leak subsystems with respect to the oxidation, phosphorylation and proton leak fluxes for different values of the respiration rate were also calculated. These theoretical data were compared with the experimental results obtained in the frame of metabolic control analysis and the 'top-down' approach to this analysis. A good agreement was obtained. Simulated time courses of the respiration rate, the protonmotive force (Deltap) and other parameters after addition of a small amount of ADP to mitochondria in state 4 mimicked at least semiquantitatively the experimentally measured time courses of these parameters. It was concluded, therefore, that in the present stage, the model is able to reflect different properties of the oxidative phosphorylation system in a broad range of conditions fairly well, allows deeper insight into the mechanisms responsible for control and regulation of this process, and can be used for simulation of new experiments, thus inspiring experimental verification of the theoretical predictions.

The sum of flux control coefficients in the electron-transport chain of mitochondria

The sum of the flux control coefficients for group-transfer reactions such as electron transport has been proposed to be two when the coefficients are calculated from experiments in which the concentrations of the electron carriers are changed (CE) but one when they are calculated from changes in the rates of the electron-transfer processes (Cv). We tested this proposal using electron transport in uncoupled beef heart, potato tuber and rat liver mitochondria. First, with ascorbate plus N,N,N',N"-tetramethyl-p-phenylenediamine as substrate, the CE flux control coefficients of ascorbate, N,N,N',N"-tetramethyl-p-phenylenediamine, mitochondria and oxygen over electron-transport rate were measured by direct titration of the concentrations of these electron carriers. CE values were close to zero, one, one and zero, respectively, giving a sum of CE flux control coefficients of approximately two. At higher concentrations of N,N,N',N'-tetramethyl-p-phenylenediamine, its CE control decreased and the sum decreased towards one as predicted. Secondly, the Cv control coefficients of groups of electron-transfer processes with succinate or ascorbate plus N,N,N',N'-tetramethyl-p-phenylenediamine as substrate were measured. This was achieved by measuring the effects of KCN (or malonate or N,N,N',N'-tetramethyl-p-phenylenediamine) on system flux when intermediates were allowed to relax and on local flux when intermediates were held constant. The Cv flux control coefficients were calculated as the ratio of the effects on system flux and on local flux. The sum of the Cv flux control coefficients was approximately one. Whether a sum of one or a sum of two was obtained depended entirely on the definition of control coefficients that was used, since either sum was obtained from the same set of data depending on the method of calculation. Both definitions are valid, but they give different information. It is important to be aware of which definition is being used when analysing control coefficients in electron-transport chains and other group-transfer systems.

Cardiolipins and biomembrane function

Evidence is discussed for roles of cardiolipins in oxidative phosphorylation mechanisms that regulate State 4 respiration by returning ejected protons across and over bacterial and mitochondrial membrane phospholipids, and that regulate State 3 respiration through the relative contributions of proteins that transport protons, electrons and/or metabolites. The barrier properties of phospholipid bilayers support and regulate the slow proton leak that is the basis for State 4 respiration. Proton permeability is in the range 10(-3)-10(-4) cm s-1 in mitochondria and in protein-free membranes formed from extracted mitochondrial phospholipids or from stable synthetic phosphatidylcholines or phosphatidylethanolamines. The roles of cardiolipins in proton conductance in model phospholipid membrane systems need to be assessed in view of new findings by Hübner et al. [313]: saturated cardiolipins form bilayers whilst natural highly unsaturated cardiolipins form nonlamellar phases. Mitochondrial cardiolipins apparently participate in bilayers formed by phosphatidylcholines and phosphatidylethanolamines. It is not yet clear if cardiolipins themselves conduct protons back across the membrane according to their degree of fatty acyl saturation, and/or modulate proton conductance by phosphatidylcholines and phosphatidylethanolamines. Mitochondrial cardiolipins, especially those with high 18:2 acyl contents, strongly bind many carrier and enzyme proteins that are involved in oxidative phosphorylation, some of which contribute to regulation of State 3 respiration. The role of cardiolipins in biomembrane protein function has been examined by measuring retained phospholipids and phospholipid binding in purified proteins, and by reconstituting delipidated proteins. The reconstitution criterion for the significance of cardiolipin-protein interactions has been catalytical activity; proton-pumping and multiprotein interactions have yet to be correlated. Some proteins, e.g., cytochrome c oxidase are catalytically active when dimyristoylphosphatidylcholine replaces retained cardiolipins. Cardiolipin-protein interactions orient membrane proteins, matrix proteins, and on the outerface receptors, enzymes, and some leader peptides for import; activate enzymes or keep them inactive unless the inner membrane is disrupted; and modulate formation of nonbilayer HII-phases. The capacity of the proton-exchanging uncoupling protein to accelerate thermogenic respiration in brown adipose tissue mitochondria of cold-adapted animals is not apparently affected by the increased cardiolipin unsaturation; this protein seems to take over the protonophoric role of cardiolipins in other mitochondria. Many in vivo influences that affect proton leakage and carrier rates selectively alter cardiolipins in amount per mitochondrial phospholipids, in fatty acyl composition and perhaps in sidedness; other mitochondrial membrane phospholipids respond less or not at all.(ABSTRACT TRUNCATED AT 400 WORDS)

The contribution of adenine nucleotide loss to ischemia-induced impairment of rat kidney cortex mitochondria

Adenine nucleotides and respiration were assayed with rat kidney mitochondria depleted of adenine nucleotides by pyrophosphate treatment and by normothermic ischemia, respectively, with the aim of identifying net uptake of ATP as well as elucidating the contribution of adenine nucleotide loss to the ischemic impairment of oxidative phosphorylation. Treatment of rat kidney mitochondria with pyrophosphate caused a loss of adenine nucleotides as well as a decrease of state 3 respiration. After incubation of pyrophosphate-treated mitochondria with ATP, Mg2+ and phosphate, the content of adenine nucleotides increased. We propose that kidney mitochondria possess a mechanism for net uptake of ATP. Restoration of a normal content of matrix adenine nucleotides was related to full recovery of the rate of state 3 respiration. A hyperbolic relationship between the matrix content of adenine nucleotides and the rate of state 3 respiration was observed. Mitochondria isolated from kidneys exposed to normothermic ischemia were characterized by a decrease in the content of adenine nucleotides as well as in state 3 respiration. Incubation of ischemic mitochondria with ATP, Mg2+ and phosphate restored the content of adenine nucleotides to values measured in freshly-isolated mitochondria. State 3 respiration of ischemic mitochondria reloaded with ATP recovered only partially. The rate of state 3 respiration increased by ATP-reloading approached that of uncoupler-stimulated respiration measured with ischemic mitochondria. These findings suggest that the decrease of matrix adenine nucleotides contributes to the impairment of ischemic mitochondria as well as underlining the occurrence of additional molecular changes of respiratory chain limiting the oxidative phosphorylation.

Distribution of control of oxidative phosphorylation in mitochondria oxidizing NAD-linked substrates

The flux control distribution of the net rate of state 3 respiration was determined in heart and kidney mitochondria incubated with low concentrations of pyruvate (0.5 mM) or 2-oxoglutarate (1 mM), and in conditions that led to activation of NAD-linked dehydrogenases, i.e., high substrate or Ca2+ concentrations. Control of flux was exerted by the ATP/ADP carrier (flux control coefficient, ci = 0.37) and Site 1 of the respiratory chain (ci = 0.28) when dehydrogenase activity was low. Control of the process shifted to the ATP synthase (ci = 0.32) and the Pi carrier (Ci = 0.27) when dehydrogenases were activated by high pyruvate and high Ca2+. The changes in the control exerted by the ATP/ADP carrier and the ATP synthase were not due to changes in the transmembrane potential, nor to a modification of intramitochondrial ATP/ADP ratios. Applying the summation theorem of the control analysis, it was found that at low Ca2+ and pyruvate concentrations the dehydrogenases shared the control of state 3 respiration with other steps. The NAD-linked dehydrogenases did not exert any significant control at high Ca2+ or high pyruvate concentrations.

An extended dynamic model of oxidative phosphorylation

The presented model based on an earlier one (Korzeniewski, B. and Froncisz, W. (1989) Studia Biophys. 132, 173-187) simulates concentration changes in time of chemical compounds and thermodynamic forces during respiration of cell suspension in a closed chamber. A set of differential equations solved numerically describes the utilization of oxygen up to anaerobiosis and the behaviour of the system after a sudden pulse of oxygen. Flux control coefficients for most important reactions (enzymes) of oxidative phosphorylation were calculated. A good qualitative and (when a direct comparison is possible) quantitative agreement with experimental results can be observed. The following conclusions can be drawn from the simulation: (1) Wilson's steady state model is not in contradiction with sharing of the control over the respiration between some steps and displacement of the ATP/ADP carrier from equilibrium. (2) The overshoot characteristics of the delta microH+ time-course after reoxygenation can be explained without using the lag-phase kinetics of ATP-synthetase. (3) A 'hot region' (sharp changes of many parameters) can be distinguished when the oxygen concentration approaches zero; only cytochrome oxidase is clearly sensitive on oxygen concentration in all its range. (4) Control over oxidative phosphorylation is shared mainly between inputs of the system (ATP utilization and substrate dehydrogenation) and the proton leak.

Ischemia decreases the content of the adenine nucleotide translocator in mitochondria of rat kidney

The activity of the adenine nucleotide translocator is decreased at ischemia. Studies were undertaken to elucidate changes in the adenine nucleotide translocator by determining its content in mitochondria of ischemic rat kidney. After 60 min of ischemia, the content of the adenine nucleotide translocator amounted only to about 55%, of that measured in control mitochondria. At the same time, the flux control coefficient was increased. These changes paralled the well-known effects of ischemia: the decrease in oxidative phosphorylation and in adenine nucleotides. It is supposed that the decrease in the adenine nucleotide translocatar content accounts, at least partially, for the ischemia-induced impairment of mitochondria.

Influence of NAD-linked dehydrogenase activity on flux through oxidative phosphorylation

1. We have examined systematically the relationship between the percentage reduction of cardiac mitochondrial NAD and the flux through oxidative phosphorylation, as measured by O2 uptake. Reduction of NAD was varied by varying the concentration of palmitoyl-L-carnitine, pyruvate, 2-oxoglutarate or glutamate in the presence of malate as the oxidizable substrate. 2. In the presence of ADP (State 3 respiration) there was a substantially linear positive relationship between O2 uptake and the percentage reduction of NAD. Coupled respiration in the absence of ADP also showed an increase with increasing NADH, with the exact shape of the relationship being variable. 3. When pyruvate and 2-oxoglutarate dehydrogenase activity were increased by increasing medium Ca2+ concentration within the range 5 nM to 1.23 microM, at non-saturating substrate concentrations, there was again a positive relationship between O2 uptake and the reduction of NAD; however, rates of O2 uptake tended to be higher at given values of NAD reduction when the incubation medium contained Ca2+. This is taken to indicate an activation by Ca2+ of the enzymes of phosphorylation or of the respiratory chain, in addition to the dehydrogenase activation. 4. When carboxyatractyloside plus ADP were used to generate 50% State 3 rates of O2 uptake with pyruvate or 2-oxoglutarate, sensitivity to Ca2+ was retained. However, when oligomycin plus 1 mM-ADP and 1 mM-ATP were used to generate 50% State 3, no such dependence was seen. 5. The results are interpreted to indicate a substantial role for substrate dehydrogenation in the overall regulation of oxidative phosphorylation when substrates are available at near-physiological concentrations.

Kinetic limitations in the overall reaction of mitochondrial oxidative phosphorylation accounting for flux-dependent changes in the apparent delta GexP/delta mu H+ ratio

Changes in J0, delta muH+ and delta GexP were investigated as a function of load. The flux control coefficients, particularly those of the adenine nucleotide translocator and H+-ATPase at the maximum rate of oxidative phosphorylation were seen to strongly depend on the phosphate concentration accounting in common for the highest share in flux control. There was no unique relationship observed between JP and delta muH+ in load-controlled, well coupled systems, but JP was found to depend on delta muH+ at excessive load and increasing proton leakage. All the results presented can be elucidated on the grounds of delocalized chemiosmotic coupling.

Control of state 3 respiration in liver mitochondria from rats subjected to chronic ethanol consumption

Male Sprague-Dawley rats were pair-fed a liquid diet containing 36% of calories as ethanol for at least 31 days. Mitochondria were isolated from the livers and assayed for state 3, state 4 and uncoupled respiration at all three coupling sites. Assay conditions were established that maximized state 3 respiration with each substrate while maintaining a high respiratory control ratio. In mitochondria from ethanol-fed animals, state 3 respiratory rates were decreased at all three coupling sites. The decreased state 3 rate observed at site III was still significantly higher than the state 3 rates observed at site II in mitochondria from either ethanol-fed or control animals. Moreover, the maximal (FCCP-uncoupled) rates with succinate and alpha-ketoglutarate were the same in mitochondria from ethanol-fed and control animals, whereas with glutamate-malate as substrate it was lowered 23% by chronic ethanol consumption. To investigate the role of cytochrome oxidase in modulating the respiratory rate with site I and site II substrates, the effects of cyanide on state 3 and FCCP-uncoupled respiration were determined. When the mitochondria were uncoupled there was no decrease in the rate of succinate oxidation until the rates of ascorbate and succinate oxidation became equivalent. Conversely, parallel inhibition of ascorbate, succinate and glutamate-malate state 3 respiratory rates were observed at all concentrations (1-50 microM) of cyanide utilized. These observations suggest strongly that in coupled mitochondria ethanol-elicited decreases in cytochrome oxidase activity depress the state 3 respiratory rates with site I and II substrates.

Changes in pyridine nucleotide levels alter oxygen consumption and extra-mitochondrial phosphates in isolated mitochondria: a 31P-NMR and NAD(P)H fluorescence study

Isolated rat-liver mitochondria were used to study the relation between mitochondrial NADH levels, oxygen consumption (QO2), and extra-mitochondrial phosphates. Alterations in NADH and QO2 were accomplished by incubating mitochondria with different substrates or varying amounts of exogenous ATPase while monitoring QO2 and NAD(P)H fluorescence. Two sets of conditions were studied: (1) in the presence of excess ADP and inorganic phosphate, an increase in NAD(P)H fluorescence was associated with a linear increase in QO2; (2) when QO2 was driven by the steady-state hydrolysis of ATP by exogenous ATPase, increases in QO2 were associated with proportional decreases in NAD(P)H fluorescence. For all substrates tested this relation was linear; however, the slope was substrate dependent. Different substrates were able to maintain different NAD(P)H levels at the same QO2. To investigate this further, effects of changing substrates at constant QO2 on NAD(P)H and extra-mitochondrial phosphates were determined. Addition of glutamate + malate to mitochondria respiring on citrate caused a 50% increase in NAD(P)H fluorescence, a 41% decrease in ADP, and a 30% decrease in inorganic phosphate. Similar changes for the substrate jump, pyruvate + malate to glutamate + malate were found. Finally, it was determined that a linear relation holds between increases in NAD(P)H fluorescence and increases in QO2 when substrates were varied at constant, physiologic levels of extra-mitochondrial ADP. These results indicate that QO2 depends on NAD(P)H levels as well as on extra-mitochondrial phosphates over a wide range of respiratory rates.

Regulation of oxidative phosphorylation in mitochondria of epididymal bull spermatozoa

The regulation of oxidative phosphorylation was studied with digitonin-treated epididymal bull spermatozoa in which mitochondria are directly accessible to low molecular compounds in the extracellular medium. Due to the high extramitochondrial ATPase activity in this cell preparation, it was possible to stimulate respiration to a small extent only by added hexokinase in the presence of glucose and adenine nucleotides. Added pyruvate kinase plus phosphoenol pyruvate, however, strongly suppressed the respiration. Under these conditions, the respiration was found to depend on the extramitochondrial [ATP]/[ADP] ratio in the range of 1-100. The contribution of the adenine nucleotide translocator to this dependence was determined by titration with the irreversible inhibitor carboxyatractyloside in the presence of ADP. Using lactate plus malate as substrate, the active state respiration was controlled to about 30% by the translocator, whereas 12 and 4% were determined in the presence of L-glycerol-3-phosphate and malate alone, respectively. In order to compare the results with those for intact cells, the adenine nucleotide patterns were determined in intact and digitonin-treated spermatozoa under conditions of controlled respiration in the presence of vanadate and carboxyatractyloside, respectively. About 21% of total cellular adenine nucleotides were found in digitonin-treated cells representing the mitochondrial compartment. While allowing for the intramitochondrial amount of adenine nucleotides, the cytosolic [ATP]/[ADP] ratio was estimated to be 6-times higher than the mitochondrial ratio in intact cells. It is concluded from the data presented that the principal mechanism by which oxidative phosphorylation in sperm mitochondria is regulated via the extramitochondrial [ATP]/[ADP] ratio is the same as that demonstrated for other isolated mitochondria.

Dynamic compartmentation of adenine nucleotides in the mitochondrial intermembrane space of rat-heart mitochondria

To investigate whether or not the mitochondrial intermembrane space together with the extramitochondrial space form a homogeneous pool for adenine nucleotides, rat-heart mitochondria were studied in reconstituted systems with pyruvate kinase and ADP-producing enzymes with varied localization. In the hexokinase system, ADP is produced extramitochondrially by added yeast hexokinase, whereas in the creatine kinase system mitochondrial creatine kinase is responsible for ADP regeneration in the intermembrane space. The dependence of mitochondrial respiration on the extramitochondrial [ATP]/[ADP] ratio in both systems was investigated experimentally and by means of computer simulation. Near the resting state, higher [ATP]/[ADP] ratios were found in the creatine kinase system than in the hexokinase system at the same rate of respiration. This and the maintaining of a substantial creatine kinase-stimulated respiration in the presence of pyruvate kinase in excess is explained by a two-compartment model considering diffusion limitations of adenine nucleotides. A diffusion rate constant of (8.7 +/- 4.7) 10(4) microliters X mg-1 X min-1 for ADP and ATP was estimated, resulting in rate-dependent concentration differences up to 13.7 microM AdN between the extramitochondrial space and the AdN-translocator at the maximum rate of oxidative phosphorylation of rat-heart mitochondria. The results support the assumption that ADP diffusion towards the AdN-translocator is limited if its extramitochondrial concentration is low, resulting in a dynamic compartmentation of adenine nucleotides in the mitochondrial intermembrane space.

Regulation of the mitochondrial ATP synthase/ATPase complex

The mitochondrial ATP synthase/ATPase (F0F1 ATPase) is perhaps the most complex enzyme known. In animal systems it consists of a minimum of 11 different polypeptide chains, 10 (or more) of which appear to be essential for function, and 1 called the "ATPase inhibitor peptide" which is involved in regulation. Recent studies from a variety of laboratories indicate that the ATP synthase/ATPase complex is regulated by several interrelated factors including the thermodynamic poise of the proton gradient across the inner mitochondrial membrane; the ATPase inhibitor peptide; ADP (and/or ADP and Pi); divalent cations; and perhaps the redox state of SH groups on the F1 molecule. The central focus of this review is the ATPase inhibitor peptide. A model involving four distinct conformational states of F1 seems essential to account for the inhibitor's mode of action. The model depicts the ATPase inhibitor protein as acting at the asymmetric center of the F1 moiety. In addition, it accounts for the "unidirectional" role of the inhibitor peptide as a "down regulator" of ATP hydrolysis and for its binding/debinding dependence on the proton motive force and other regulatory factors. Finally, it is suggested that during any physiological process, where there is an energy demand followed by a resting phase, the F1 molecule may follow a "cyclic" path involving the four distinct conformational states of the enzyme.

A mathematical model to study short-term regulation of mitochondrial energy transduction

A mathematical model is presented which includes the following elementary process of mitochondrial energy transduction: hydrogen supply, proton translocation by the respiratory chain, proton-driven ATP synthesis by the F0F1-ATPase, passive back-flow of protons (leak) and carrier-mediated exchange of adenine nucleotides and phosphate. For these processes empirical rate laws are used. The model is applied to calculate time-dependent states of energy transduction in isolated rat liver mitochondria. From the general agreement of the computational results with experimental data (Ogawa, S. and Lee, T.M. (1984) J. Biol. Chem. 259, 10004-10011) the following conclusions can be drawn. (1) The length of the time interval during which mitochondria are able to maintain a relatively high and constant delta pH in the absence of oxygen (anaerobiosis) is limited by the availability of intramitochondrial ATP. (2) The overshoot kinetics of delta pH which appear when reoxigenating mitochondria after a preceeding anaerobiosis might be due to a lag phase kinetics of the F0F1-ATPase. (3) In phosphorylating mitochondria the homeostasis of delta pH is brought about by a high sensitivity of the respiration rate and the rate of the F0F1-ATPase as to changes of delta pH. (4) Analysis of the mean transient times shows that the rate of ATP synthesis in State 3 is controlled to almost the same extent by the hydrogen supply, the respiratory chain, the adenine nucleotide translocator and the proton leak.

Rate control of phosphorylation-coupled respiration by rat liver mitochondria

Liver mitochondria provided with an oxidizable substrate, ATP, oxygen, and an ADP-generating system (soluble F1-ATPase) were used to reevaluate the rate-controlling step(s) intrinsic to all of the processes of mitochondrial oxidative phosphorylation. The quantity termed "control strength" (C), previously defined as the fractional change in flux through a (system) induced by a fractional change in the concentration of an individual enzyme in the system, has been used to evaluate rate-influencing steps in this overall process by carefully defining the dimensions of the "system" under analysis. If the system is defined by a suspension of mitochondria provided with substrates, plus an extrinsic ADP-generating process (ATPase), the value of C of the latter for the overall process of phosphorylation-linked respiration is near 1.0 until the capacity of the mitochondria to phosphorylate ADP is approached, after which C for the soluble ATPase becomes zero as the maximum capacity for phosphorylation is attained. Carboxyatractyloside was found only marginally to inhibit respiration stimulated by ATPase, even when a large percentage of adenine nucleotide translocase molecules were immobilized. The relative lack of effect of carboxyatractyloside on phosphorylating respiration is explained by the readjustment of the concentration of one of the substrates (ADP) and an inhibitor (ATP), which results from inhibition of adenine nucleotide translocase. The residual blunted inhibition of respiration is explained by product inhibition of the ADP-regenerating ATPase, and not necessarily to any intrinsically mitochondrial intermediate process. The system being evaluated can be redefined to include only the processes intrinsic to mitochondria. This can be achieved by providing exactly comparable substrate concentrations to the mitochondria under comparable incubation conditions. Under these conditions, the adenine nucleotide translocase is the principal, if not the only, rate-controlling step in the overall process of oxidative phosphorylation until a new rate-limitation is attained (ATP synthesis). These data are consistent with the conclusion that, at intermediate rates of phosphorylation-coupled respiration, the extramitochondrial ATP/ADP ratio regulates this process through its kinetic effects on the catalytic properties of the adenine nucleotide translocase.

Control of oxidative phosphorylation in rat heart mitochondria. The role of the adenine nucleotide carrier

Inhibitor titration experiments carried out with carboxyatractyloside, oligomycin and rotenone show that in the case of heart mitochondria the membrane-bound ATPase and the respiratory chain are the major factors controlling the rate of oxidative phosphorylation whereas the adenine nucleotide carrier exhibits no control strength. As shown by carboxyatractyloside titration curves under different conditions, the relative importance of the adenine nucleotide carrier depends on the mode of regeneration (F1-ATPase or glucose plus hexokinase) of ADP from ATP exported outside mitochondria, on the total concentration of adenine nucleotides present in the medium and on the mode of limitation of the rate of respiration (cyanide, rotenone, oligomycin or mersalyl). Concomitantly with the inhibition of O2 consumption, carboxyatractyloside brings about a rise in membrane potential. The inverse relationship between the two processes is observed for carboxyatractyloside concentrations ranging between 0.7 and 1.5 nmol per mg protein. Carboxyatractyloside concentrations below and above this range increase the membrane potential without affecting significantly the rate of respiration. Titration experiments aimed at comparing the effects of ADP, carboxyatractyloside and the uncoupler, carbonyl cyanide p-trifluoromethoxyphenylhydrazone, corroborate the conclusion that in heart mitochondria a major limiting factor in oxidative phosphorylation is the capacity of the respiratory chain.

Effects of ATP on various steps controlling the rate of oxidative phosphorylation in newborn rat liver mitochondria

Preincubation of newborn rat liver mitochondria with ATP increases their state 3 respiration rate [J. K. Pollak (1975) Biochem. J. 150, 477-488; J. R. Aprille, and G. K. Asimakis (1980) Arch. Biochem. Biophys. 201, 564-575]. To determine which reactions contribute to control the rate of succinate oxidation with and without prior exposure to ATP, the effects of inhibitors specific for various reactions were studied. The adenine nucleotide translocator does not control the respiration in newborn more than in the adult mitochondria. The supply of reducing equivalents to the respiratory chain is an important step controlling the rate of oxidative phosphorylation by mitochondria from newborn rat liver, especially after preincubation with ATP. On the contrary, titrations with oligomycin show that the preincubation with ATP markedly decreases the control exerted by the ATPase-ATP synthase complex. That the rate of ATP synthesis is one of the steps controlling the rate of oxidative phosphorylation in newborn rat liver mitochondria is in striking contrast to the behavior of adult rat liver mitochondria. Other differences include a greater permeability to protons and a marked increase in sensitivity to mersalyl, indicating an easier accessibility of the proteins involved in oxidative phosphorylation to the thiol reagent.

Factors determining the relative contribution of the adenine-nucleotide translocator and the ADP-regenerating system to the control of oxidative phosphorylation in isolated rat-liver mitochondria

The control exerted by the adenine nucleotide translocator and the ADP-regenerating system on oxidative phosphorylation was studied in isolated rat-liver mitochondria respiring with succinate. At intermediate rates of respiration the flux control coefficient (control strength) of the adenine nucleotide translocator on respiration was much higher with creatine/creatine kinase than with glucose/hexokinase as the ADP-regenerating system. In contrast, at the same rate of respiration the flux control coefficient of creatine kinase was much lower than that of hexokinase. On addition of a small amount of carboxyatractyloside to mitochondria respiring in the presence of glucose/hexokinase or creatine/creatine kinase, the rate of respiration decreased abruptly and then increased again to a new steady state which was lower with creatine/creatine kinase than with glucose/hexokinase. In the new steady state, the extramitochondrial ATP/ADP ratio was lower with glucose/hexokinase than with creatine/creatine kinase. At the same rate of respiration, the elasticity coefficient of creatine kinase towards the extramitochondrial ATP/ADP ratio was much higher than that of hexokinase. The connectivity theorem [Kacser, H. and Burns, J.A. (1973) in Rate Control of Biological Processes (Davies, D.D., ed.) pp. 65-104, Cambridge University Press, London] which relates the flux control coefficients of two adjacent enzymes to their elasticity coefficients towards the common intermediate, provides an explanation for the difference in flux control coefficient of the adenine nucleotide translocator with the two ADP-regenerating systems. Using principles developed by R. Heinrich and T.A. Rapoport [BioSystems 7, 130-136 (1975)], the flux control coefficients of the adenine nucleotide translocator and hexokinase on phosphorylation were also calculated from the elasticity coefficients of these enzymes towards the extramitochondrial ATP/ADP ratio and the controls exerted by these enzymes on the extramitochondrial ATP/ADP ratio. The calculated values were approximately 30% lower than the values measured directly. The elasticity coefficient of the adenine nucleotide translocator towards the extramitochondrial ATP/ADP ratio was determined, using either the connectivity theorem of Kacser and Burns (loc. cit.) or a new connectivity theorem developed by Westerhoff (following paper in this journal). Good agreement was obtained using the different methods of calculation.(ABSTRACT TRUNCATED AT 400 WORDS)

Control of mitochondrial oxidative phosphorylation

The objective of this investigation is to analyze the two following problems of the regulation of mitochondrial oxidative phosphorylation: what is the extramitochondrial parameter that controls ATP production according to the cytoplasmic demands and how the control is distributed between various mitochondrial enzymes. On the basis of the data of Groen et al. (1982) it is shown that as the respiration rates ranged over 30-50% of the maximum (i.e. within the physiological region) the contribution of the adenine nucleotide translocator to the control of the ATP flux is no less than 90%, referring to the total contribution of all mitochondrial enzymes as 100%. Founding on the key role of the adenine nucleotide translocator it has been concluded that besides the extramitochondrial [ATP]/[ADP] ratio the absolute ADP concentration is another extramitochondrial signal controlling significantly the rate of oxidative phosphorylation.

Nutritional effects on mitochondrial bioenergetics. Alterations in oxidative phosphorylation by rat liver mitochondria

Rats malnourished since birth and fed on a protein-free diet for 2 weeks showed a 23-27% decrease in the State-3 oxidation of glutamate, succinate and ascorbate + NNN' N'-tetramethyl-p-phenylenediamine by liver mitochondria compared with control fed animals. ATP synthesis and the respiratory control index were diminished at the three coupling sites, but significant alterations were not observed in ADP/O ratios. Vmax. for NADH oxidation in electron-transport particles was 40% lower. Mitochondrial cytochromes b and c1 remained unchanged, but cytochrome c was increased by 26%. Cytochromes a + a3 were diminished by 22%. Vmax. for mitochondrial ATPase was 23% lower. These results suggest that the lower content of cytochrome a + a3 at the rate-controlling step of oxidative phosphorylation in malnourished rats might be mainly responsible for the decrease in substrate oxidations as well as ATP synthesis at the three coupling sites. The decreased synthesis and hydrolysis of ATP suggests that other energy-dependent mitochondrial processes could be decreased during malnutrition.

Modern theories of metabolic control and their applications (review)

Existing, qualitative notions with respect to the way in which enzyme properties control metabolism are discussed in the light of the control analysis developed by H. Kacser and J. A. Burns ( (1973) in: Rate Control of Biological Processes, Davies DD, ed., Cambridge University Press, pp. 65-104) and R. Heinrich and T. A. Rapoport ( (1974) Eur. J. Biochem. 42, 89-95), and recent experimental data. Points at which the existing notions should be adjusted are: Metabolic control is shared by enzymes rather than confined to one rate-limiting enzyme per pathway. Whether an enzyme exercises strong control on a flux cannot be deduced solely from its own properties, nor is it directly related to its distance from equilibrium. With respect to metabolic control, enzymes should be classified into four groups, rather than two (reversible versus irreversible). The distribution of control among the enzymes depends on the metabolic conditions. Control structures of metabolic pathways probably differ with the function of that pathway.

Control of mitochondrial respiration. The contribution of the adenine nucleotide translocator depends on the ATP- and ADP-consuming enzymes

The consequence of the complexity of the metabolic network on the amount of control strength of adenine nucleotide translocator was investigated with isolated rat liver mitochondria. Two experimental systems were compared: (i) mitochondria in the presence of yeast hexokinase (hexokinase system) and (ii) the same system plus additional pyruvate kinase (pyruvate kinase system). In both systems the control strength was analysed for the adenine nucleotide translocator by inhibitor titration studies with carboxyatractyloside and for the hexokinase or pyruvate kinase by changing their relative activities. Experimental results were compared with computer simulation of these systems and that of a third one, where the extramitochondrial ATP/ADP ratio was held constant by perifusion (perifusion system). The results demonstrate quite different flux-dependent control strength of the translocator in the three systems. In the hexokinase system the control strength of the translocator on mitochondrial respiration was zero up to respiration rates of about 60 nmol O2/mg protein per min. For higher rates, the control strength increased until the maximum value (0.45) was reached in the fully active state. Here, the same value was also found in the pyruvate kinase system. In all other states of respiration the translocator exerts a higher control strength in the pyruvate kinase system than in the hexokinase system. This different behaviour was attributed to the various changes in the adenine nucleotide pattern caused by partial inhibition of the translocator in the hexokinase and pyruvate kinase system. The data clearly show that the sharing of control strength depends not only on the respiration rate but also on the complexity of the metabolic system.

Control of mitochondrial respiration

The control theory of Kacser and Burns [in: Rate Control of Biological Processes (Davies, D.D. ed) pp. 65-104, Cambridge University Press, London, 1973] and Heinrich and Rapoport [Eur. J. Biochem. (1974) 42, 97-105] has been used to quantify the amount of control exerted by different steps on mitochondrial oxidative phosphorylation in rat-liver mitochondria. Inhibitors were used to manipulate the amount of active enzyme. The control strength of the adenine nucleotide translocator was measured by carrying out titrations with carboxyatractyloside. In state 4, the control strength of the translocator was found to be zero. As the rate of respiration was increased by adding hexokinase, the control strength of the translocator increased to a maximum value of approximately 30% at approximately 80% of state 3 respiration. In state 3, control of respiration is distributed between a number of steps, including the adenine nucleotide translocator, the dicarboxylate carrier and cytochrome c oxidase. The measured values for the distribution of control agree very well with those calculated with the aid of a model for mitochondrial oxidative phosphorylation developed by Bohnensack et al. [Biochim. Biophys. Acta (1982) 680, 271-280].