A 'top-down' approach to the determination of control coefficients in metabolic control theory

A new approach to the determination of flux and concentration control coefficients in metabolic pathways is outlined. Linear pathways are conceptually divided in two around an intermediate metabolite (or group or metabolites) and the control coefficients of the two parts are derived from the elasticity coefficients of the two parts to the intermediate. Branched pathways are treated similarly, the control coefficients of the branches being derived either from the elasticities of the branches to their common intermediate or from the relative flux changes of the branches. Repeating this analysis around other intermediates in the pathway allows the control coefficients of smaller and smaller groups of enzymes to be determined. In complex systems this approach to describing control may have several advantages over determining the control coefficients of individual enzymes and is a potentially useful complementary approach.     

Altered relationship between protonmotive force and respiration rate in non-phosphorylating liver mitochondria isolated from rats of different thyroid hormone status

We have determined the relationship between rate of respiration and protonmotive force in oligomycin-inhibited liver mitochondria isolated from euthyroid, hypothyroid and hyperthyroid rats. Respiration rate was titrated with the respiratory-chain inhibitor malonate. At any given respiration rate mitochondria isolated from hypothyroid rats had a protonmotive force greater than mitochondria isolated from euthyroid controls, and mitochondria isolated from hyperthyroid rats had a protonmotive force less than mitochondria isolated from euthyroid controls. In the absence of malonate mitochondrial respiration rate increased in the order hypothyroid less than euthyroid less than hyperthyroid, while protonmotive force increased in the order hyperthyroid less than euthyroid less than hypothyroid. These findings are consistent with a thyroid-hormone-induced increase in the proton conductance of the inner mitochondrial membrane or a decrease in the H+/O ratio of the respiratory chain at any given protonmotive force. Thus the altered proton conductance or H+/O ratio of mitochondria isolated from rats of different thyroid hormone status controls the respiration rate required to balance the backflow of protons across the inner mitochondrial membrane. We discuss the possible relevance of these findings to the control of state 3 and state 4 respiration by thyroid hormone.     

On the role of the membrane proton conductance in the relationship between rate of respiration and protonmotive force.

The rate of respiration in mitochondria is not a unique function of the protonmotive force, depending on whether the protonmotive force is varied by addition of ADP or uncouplers. This result has been generally considered to contradict the chemiosmotic theory. Recently, O'Shea & Chappell [Biochem. J. (1984) 219, 401-404] claimed that this observation can be reconciled with the chemiosmotic theory, provided only that the proton conductance of the membrane is different in the presence of ADP or uncouplers. This hypothesis is shown here to be necessary but not sufficient to account for the experimental data and the reason for the contradiction between this recent interpretation and earlier interpretations is pointed out.     

The relationship between the rate of respiration and the protonmotive force. The role of proton conductivity.

It is shown by titrating a suspension of rat liver mitochondria with either ADP or an uncoupler that a specific rate of respiration may not have a unique associated value of the protonmotive force. Alternatively, a specific protonmotive force may not be associated with a unique rate of respiration. It seems that the rate of respiration and the protonmotive force are more sensitive to the agents used for the titrations than to each other. Such observations are not easily explained by the chemiosmotic hypothesis. It is, however, possible provided that the proton conductivities, i.e. the rates of dissipation of the protonmotive force, are considered to be different for each of the agents used to titrate the rate of respiration at the same protonmotive force, or vice versa.     

Characterisation of the control of respiration in potato tuber mitochondria using the top-down approach of metabolic control analysis.

Control over oxidative phosphorylation by purified potato mitochondria was determined using the top-down approach of metabolic control analysis. The control over the respiration rate, phosphorylation rate, proton-leak rate and proton motive force exerted by the respiratory chain, phosphorylation reactions and the proton leak were measured over a range of phosphorylation rates from resting (state 4) to maximal (state 3). These rates were obtained by adding different amounts of hexokinase in the presence of glucose, or different amounts of oligomycin in the presence of ADP. The respiratory substrate was NADH or succinate, both of which feed electrons directly to ubiquinone. The rate of oxygen consumption by the alternative oxidase pathway was negligible with NADH as substrate but was measurable with succinate and was subtracted. Control over the respiration rate in potato mitochondria was predominantly exerted by the respiratory chain at all rates except close to state 4, where control by the proton leak was equally or more important. For oxidation of NADH, the flux control coefficient over the respiration rate exerted by the respiratory chain in state 3 was between 0.8 and 1.0, while in state 4, control over the respiration rate was shared about equally between the chain and the proton leak. The control over the phosphorylation rate was predominantly exerted by the respiratory chain, although at low rates control by the phosphorylation system was also important. For oxidation of NADH, the flux control coefficient over the phosphorylation rate exerted by the respiratory chain in state 3 was 0.8-1.0, while near state 4 the flux control coefficients over the phosphorylation rate were about 0.8 for the phosphorylation system and 0.25 for the chain. Control over the proton leak rate was shared between the respiratory chain and the proton leak; the phosphorylation system had negative control. For oxidation of NADH, the flux control coefficients over the leak rate in state 3 were 1.0 for the leak, 0.4 for the chain and -0.4 for the phosphorylation system, while in state 4 the flux control coefficients over leak rate were about 0.5 for the leak and 0.5 for the chain. Control over the magnitude of the protonmotive force was small, between -0.2 and +0.2, reflecting the way the system operates to keep the protonmotive force fairly constant; the respiratory chain and the phosphorylation system had equal and opposite control and there was very little control by the proton leak except near state 4.     

Homeostasis of the protonmotive force in phosphorylating mitochondria

The relationship between the respiration rate and the magnitude of the electrochemical proton potential (Δμ_H⁺) in rat liver mitochondria was investigated. (1) Under the active-state conditions, the action of inhibitors of either phosphorylation (oligomycin) or respiration (rotenone, malonate) on the respiration and Δμ_H⁺ was measured. Both inhibitors diminished the respiration, whereas rotenone resulted in a decrease of Δμ_H⁺, and oligomycin produced an increase of this potential. The effect of the inhibitors was much more pronounced on the respiration rate than on Δμ_H⁺; for example, the excess of oligomycin produced a 90% inhibition of the respiration while Δμ_H⁺ was changed only by 9%. (2) Under the resting-state conditions, small concentrations of the uncoupler stimulated the respiration while changing Δμ_H⁺ to a relatively small extent. The uncoupler concentrations which doubled and tripled the respiration rate produced only 5 and 9% decrease of Δμ_H⁺, respectively. (3) The present results enabled us to propose a model describing the interrelationship between respiration and Δμ_H⁺.     

Homeostasis of the protonmotive force in phosphorylating mitochondria

The relationship between the respiration rate and the magnitude of the electrochemical proton potential (delta mu H+) in rat liver mitochondria was investigated. (1) Under the active-state conditions, the action of inhibitors of either phosphorylation (oligomycin) or respiration (rotenone, malonate) on the respiration and delta mu H+ was measured. Both inhibitors diminished the respiration, whereas rotenone resulted in a decrease of delta mu H+, and oligomycin produced an increase of this potential. The effect of the inhibitors was much more pronounced on the respiration rate than on delta mu H+; for example, the excess of oligomycin produced a 90% inhibition of the respiration while delta mu H+ was changed only by 9%. (2) Under the resting-state conditions, small concentrations of the uncoupler stimulated the respiration while changing delta mu H+ to a relatively small extent. The uncoupler concentrations which doubled and tripled the respiration rate produced only 5 and 9% decrease of delta mu H+, respectively. (3) The present results enabled us to propose a model describing the interrelationship between respiration and delta mu H+.     

Unique relationships between the rates of oxidation and phosphorylation and the protonmotive force in rat-liver mitochondria

The rate of ATP synthesis (JP) in isolated rat-liver mitochondria was strongly dependent on the magnitude of the protonmotive force (delta mu H+) across the mitochondrial inner membrane. Addition of different concentrations of various uncouplers or malonate to mitochondrial incubations in State 3 led to a depression of delta mu H+ and a concomitant decrease in JP. A unique relationship between JP and delta mu H+ was obtained, which was independent of the way in which delta mu H+ was varied. This unique relationship was observed when K+ (in the presence of valinomycin) was used as a probe for delta psi. Different relationships between JP and delta mu H+ were observed when K+ was used as a probe for delta psi and when K+ was measured after separation of the mitochondria by centrifugation without silicone oil. This led to a serious underestimation of delta psi, specifically when uncouplers were present, and non-unique flow-force relationships were thus obtained. Anomalous relationships between JP and delta mu H+ were also found when TPMP+ was used as a probe for delta psi. However, in uncoupler incubations the presence of TBP- strongly affected the TPMP+ accumulation ratio without any effect on the K+ accumulation or on JP and in the presence of TBP- unique relationships between JP and delta mu H+ were again obtained. This indicates that the accumulation of TPMP+ inside the mitochondria is not a straightforward function of delta psi but also depends on conditions like the presence of TBP- or uncouplers. We conclude that there is a unique relationship between the rate of phosphorylation and the protonmotive force in mitochondria and that under some conditions the behaviour of TPMP+ is anomalous.     

Control of respiration in non-phosphorylating mitochondria is shared between the proton leak and the respiratory chain.

We measured the relationship between rate of respiration and membrane potential in isolated mitochondria titrated with malonate (to inhibit the electron transport chain) or with uncoupler (to increase the proton conductance of the inner membrane). We used the flux control summation and connectivity theorems of metabolic control theory to calculate the control over non-phosphorylating respiration exerted by the respiratory chain (and associated reactions) and by the leak of protons across the inner membrane. At 37 degrees C the flux control coefficient of the leak over respiration was 0.66; the flux control coefficient of the chain over respiration was 0.34. At 25 degrees C the values were 0.75 and 0.25 respectively. We argue that the basis for previous conclusions that all the control is exerted by the proton leak under similar conditions is invalid.     

Influence of different energy drains on the interrelationship between the rate of respiration,proton-motive force and adenine nucleotide patterns in isolated mitochondria

The respiration of rat liver mitochondria was stimulated by three different ways of energy drain: (a) partial uncoupling (equivalent to direct collapse of the proton-motive force), (b) intramitochondrial utilization of ATP for citrulline synthesis, and (c) extramitochondrial utilization of ATP for glucose phosphorylation. At identical rates of respiration, the intramitochondrial ATP: ADP ratios were the same in all three systems. Furthermore, the proton-motive force was the same in partially uncoupled mitochondria and in the presence of hexokinase plus glucose up to a respiration rate amounting to about 60% of that of the fully active state. However, external ATP: ADP ratios were considerably different in various systems at comparable rates of oxygen uptake, being the lowest under conditions when ATP was being utilized externally. On this basis, it is concluded that the respiratory rate is controlled directly by the proton-motive force and the mitochondrial ATP-synthesizing system operates under near-equilibrium conditions with respect to the membrane energy state parameters. However, a disequilibrium exists at the step of the transport of ATP from mitochondria to the external (cytoplasmic) compartment.     

Respiration-dependent proton translocation and the mechanism of protonmotive force generation in Nitrobacter winogradskyi

Abstract Proton translocation associated with electron flow to oxygen has been observed with cells of Nitrobacter winogradskyi in the presence of either potassium ferrocyanide or isoascorbate plus N , N , N ', N ' tetramethyl- p -phenylenediamine. The data are consistent with a proton pumping function for the terminal oxidase, cytochrome aa ₃, in this organism as the mechanism for generating a protonmotive force. The failure of previous work with Nitrobacter [4] to detect proton translocation linked to oxidation of nitrite, the physiological substrate, is discussed.     

Regulation of the rate of respiration and oxidative phosphorylation in liver mitochondria from hibernating ground squirrels, Citellus undulatus

1. The rates of oxidation of various substrates (beta-hydroxybutyrate, succinate, ascorbate + TMPD) and the rate of ATP synthesis in liver mitochondria from active and hibernating ground squirrels were measured. 2. It was shown that the rate of mitochondrial respiration is significantly lower in hibernating animals than in active animals. 3. The degree of inhibition of mitochondrial respiration in hibernating ground squirrels was found to correlate with the length of the respiratory chain fragment involved in the oxidation of a given substrate. 4. The inhibition of mitochondrial respiration in hibernating animals was accompanied by a decrease in the rate of ATP synthesis. 5. The activity of phospholipase A2 in liver mitochondria from hibernating ground squirrels was found to be decreased. The activation of phospholipase A2 by Ca2+ ions eliminated the inhibition of respiration almost completely. 6. It was assumed that the inhibition of mitochondrial respiration during hibernation is (a) related to the suppression of phospholipase A2 activity and (b) caused by the reduced rates of electron transport through the respiratory chain and/or of substrate transport across the mitochondrial membrane.     

On the localized coupling of respiration and phosphorylation in mitochondria

This paper is an overview of the theoretical and experimental studies performed in our laboratory to answer the question whether there exist conditions where the hypothetical mechanism of the localized coupling of respiration and phosphorylation postulated by R. Williams in 1961 operates. These studies were undertaken to verify the earlier suggestion that mitochondria may exist in two structural and functional states. Correspondingly, there are two operation modes of oxidative phosphorylation, one of which corresponds to the Williams' mechanism of localized coupling and the other, to the Mitchell's mechanism of delocalized coupling. The paper considers the principle of the energy conservation of oxidative reactions in mitochondrial membranes in the form of the thermodynamic potential of hydrogen ions (Deltamusol) lacking, in part, the solvation shell. We present experimental evidence for the existence of the mechanism of localized coupling and describes the conditions favorable for its implementation. The experiments described in this paper show that the aforementioned models for proton coupling are not necessarily alternative. A conclusion is made that, depending on the particular conditions, either localized or delocalized coupling mechanisms of oxidative phosphorylation may come into operation.     

Thyroid-hormone control of state-3 respiration in isolated rat liver mitochondria.

Oxidative phosphorylation can be treated as two groups of reactions; those that generate protonmotive force (dicarboxylate carrier, succinate dehydrogenase and the respiratory chain) and those that consume protonmotive force (adenine nucleotide and phosphate carriers. ATP synthase and proton leak). Mitochondria from hypothyroid rats have lower rates of respiration in the presence of ADP (state 3) than euthyroid controls. We show that the kinetics of the protonmotive-force generators are unchanged in mitochondria from hypothyroid animals, but the kinetics of the protonmotive-force consumers are altered, supporting proposals that the important effects of thyroid hormone on state 3 are on the ATP synthase or the adenine nucleotide translocator.     

Energy charge,phosphorylation potential and proton motive force in chloroplasts

Adenylate concentrations were measured in intact chloroplasts under a variety of conditions. Energy charge was significant in the dark and increased in the light, but remained far below values expected from observed phosphorylation potentials in broken chloroplasts, which were 80 000 M^?1 or more in the light. With nitrite as electron acceptor, phosphorylation potentials in intact chloroplasts were about 80 M^?1 in the dark and only 300 M^?1 in the light. Similar phosphorylation potentials were observed, when oxaloacetate, phosphoglycerate or bicarbonate were used as substrates. ΔG′_ATP was ?42 kJ/mol in darkened intact chloroplasts, ?46 kJ/mol in illuminated intact chloroplasts and ?60 kJ/mol in illuminated broken chloroplasts. Uncoupling by NH₄Cl, which stimulated electron transport to nitrite or oxaloacetate and decreased the proton gradient, failed to decrease the phosphorylation potential of intact chloroplasts. Also, it did not increase the quantum requirement of CO₂ reduction. It is concluded that the proton motive force as conventionally measured and phosphorylation potentials are far from equilibrium in intact chloroplasts. The insensitivity of CO₂ reduction and of the phosphorylation potential to a decrease in the proton motive force suggests that intact chloroplasts are over-energized even under low intensity illumination. However, such a conclusion is at variance with available data on the magnitude of the proton motive force.     

Cytochrome c,released from cerebellar granule cells undergoing apoptosis or excytotoxic death,can generate protonmotive force and drive ATP synthesis in isolated mitochondria

In rat cerebellar granule cells, cytochrome c release takes place during glutamate toxicity and apoptosis due to deprivation of depolarising levels of potassium. We show that, as in necrosis, the released cytochrome c present in the cytosolic fraction obtained from cerebellar granule cells undergoing apoptosis can operate as a reactive oxygen species (ROS) scavenger and as a respiratory substrate. The capability of the cytosolic fraction containing cytochrome c, obtained from cerebellar granule cells undergoing either necrosis or apoptosis, to energise coupled mitochondria isolated by the same cells is also investigated. We show that, in both cases, the cytosolic fraction containing cytochrome c, added to mitochondria, can cause proton ejection, and membrane potential generation and can drive ATP synthesis and export in the extramitochondrial phase, as photometrically measured via the ATP detecting system. Cytochrome c, separated immunologically from the cytosolic fraction of apoptotic cells when added to mitochondria, is found to cause proton ejection to generate membrane potential and to drive ATP synthesis and export in a manner not sensitive to the further addition of the cytosolic fraction depleted of cytochrome c, which failed to do this. In the light of these findings we propose that in apoptosis the released cytochrome c can contribute to provide ATP required for the cell programmed death to occur.     

Fuscin,an inhibitor of respiration and oxidative phosphorylation in ox-neck muscle mitochondria

1. The effect of fuscin on the mitochondrial oxidation of pyruvate plus malate, of succinate and of ascorbate plus tetramethyl-p-phenylenediamine (TMPD) and on the redox changes of succinate-reducible cytochromes b and c was investigated using tightly-coupled ox-neck muscle mitochondria.     

The protonmotive force and phosphorylation potential developed by whole cells of the methylotrophic bacteriumMethylophilus methylotrophus

The and the Gp have been measured in whole cells ofMethylophilus methylotrophus during the oxidation of various respiratory chain substrates. The magnitude of the depended on the external pH and the composition of the assay medium, and varied from-109 to-165 mV. The relative contributions of the and the pH to the were found to vary with the external pH such that the internal pH remained constant; depending on the composition of the assay medium, this value was between 6.6 and 7.0. A Gp of approximately-46 kJ/mol was generated during the oxidation of methanol, and either the or pH alone was fully competent to drive ATP synthesis. Respiration and ATP synthesis were found to be poised far from equilibrium under the conditions of these experiments, and the value of the Gp was thus controlled kinetically. Comparison of the with the Gp yielded an H⁺/ATP quotient >2.6 g-ion H⁺/mol ATP.Abbreviations TMPD N,N,N,N-tetramethyl-p-phenylenediamine - FCCP carbonylcyanidep-trifluoromethoxyphenylhydrazone - DMO 5,5-dimethyloxazolidine-2,4-dione - TPMP⁺ triphenylmethylphosphonium (iodide salt); Tween 20, polyoxyethylenesorbitan monolaurate - TPP⁺ tetraphenylphosphonium (bromide salt) - bulk phase transmembrane electrochemical potential difference of protons ( ) - pH bulk phase transmembrane pH difference (pHin-pHout) - bulk phase transmembrane electrical potential difference (in-out) - p true protonmotive force (incorporating both bulk phase and localised protons; )