The redox state of the nicotinamide–adenine dinucleotides in rat liver homogenates

1. The redox state of the NAD couple of rat liver mitochondria, as measured by the [beta-hydroxybutyrate]/[acetoacetate] ratio, rapidly changed in the direction of oxidation during the preparation of homogenates in a saline medium. The value of the [beta-hydroxybutyrate]/[acetoacetate] ratio fell from 2.3 to 0.15 in 10min. EDTA diminished the fall and succinate prevented it. 2. The redox state of the rat liver cytoplasm, as measured by the [lactate]/[pyruvate] ratio, changed slightly in the direction of reduction during the preparation of homogenate. This was prevented by succinate. 3. In unsupplemented homogenates the differences in the redox states of mitochondria and cytoplasm decreased. Succinate and EDTA together maintained the differences within the physiological range. A measure of the ability of the mitochondria to maintain different redox states in mitochondria and cytoplasm is the value of the expression [lactate][acetoacetate]/[pyruvate][beta-hydroxybutyrate]. If there are no differences in the redox states of the NAD in the two cell compartments the value of the expression is 444 at 37 degrees . The value in the intact rat liver is between 4.7 and 21. 4. alpha-Oxoglutarate or glutamate were still more effective than succinate in maintaining high [beta-hydroxybutyrate]/[acetoacetate] ratios in the homogenates because these substrates supply a reducing agent of NAD(+) and, through succinate, an inhibitor of the oxidation of NADH. 5. When supplemented with alpha-oxoglutarate and EDTA, homogenates readily adjust the redox state of the beta-hydroxybutyrate dehydrogenase system after it has been upset by the addition of either acetoacetate or beta-hydroxybutyrate. 6. Amytal and rotenone raised the value of the [beta-hydroxybutyrate]/[acetoacetate] ratio. This is taken to indicate that the reduction of acetoacetate in the homogenates was not an energy-linked process. 7. 2,4-Dinitrophenol shifted the [beta-hydroxybutyrate]/[acetoacetate] ratio in the presence of succinate in favour of oxidation because it inhibited the oxidation of succinate and accelerated the oxidation of NADH. 8. Rotenone increased the rate of ketone-body formation of liver homogenates, though it decreased the rate of oxygen uptake.     

Stoichiometric traps in the tricarboxylic acid cycle. I. Self-inhibition and triggering phenomena

The steady-state oxidation of 2 mM pyruvate in pigeon and rat heart mitochondria in the presence of ADP-glucose-hexokinase load can be strongly inhibited by excess (10-40 mM) of pyruvate or beta-hydroxybutyrate. This inhibition is accompanied by the accumulation of alpha-ketoglutarate and a decrease of malate. The mechanism of such substrate inhibition may be associated with the limitation of the tricarboxylic acid cycle flux by low levels of oxaloacetate and free CoA due to their being trapped as alpha-ketoglutarate and acetyl-CoA. Contrary to pyruvate, the ketone bodies in the absence of other substrates produce self-inhibition of their oxidation at as low concentrations as 0.5-1 mM. At 10-15 mM of acetoacetate, a complete suppression of respiration may develop. At a high load (preset by ADP or the uncoupler CCCP), the suppression is characterised by the accumulation of malate and a decrease of alpha-ketoglutarate. At low loads, the reverse distribution of the intermediates takes place. It is concluded that the system of ketone body oxidation in heart mitochondria is an example of biochemical triggers (systems with two alternative stable states).     

Rat-liver cell compartition as revealed by correlations between redox-quotient changes following alloxan treatment, starvation, carbohydrate- and fat-diet.

As reported elsewhere (FERAUDI, 1976a & b), we have studied the mathematical relations between metabolite concentrations in the rat liver at various redox states and expressed them algebraically. In the present work we have measured the liver-cell concentrations of lactate, pyruvate, glycerol 3-phosphate, dihydroxyacetone phosphate, malate, oxaloacetate, beta-hydroxybutyrate, acetoacetate, 2-oxoglutarate, ribulose 5-phosphate as pentose phosphates, gluconate 6-phosphate, isocitrate, aspartate in untreated and treated rats (alloxan-diabetic, insulin-treated alloxan-diabetic or starved rats as well as rats fed on carbohydrate- or fat diet). Through analysis of the algebraic correlation between metabolite concentrations, we arrived at the following statements: 1. Under certain physiological conditions the concentration of some metabolites in one compartment determines their total quantity in the cell; 2. NADP and NADPH are comparted within the cytosol; 3. Reduced cosubstrate/oxidized cosubstrate ratios of some enzymic reactions are under certain physiological conditions in mutual equilibrium; 4. Such relationships are first verified after treatment and therefore characterize the metabolite status.     

Effects of glucagon on the redox states of cytochromes in mitochondria in situ in perfused rat liver

The effects of glucagon on the respiratory function of mitochondria in situ were investigated in isolated perfused rat liver. Glucagon at the concentrations higher than 20 pM and cyclic AMP (75 microM) stimulated hepatic respiration, and shifted the redox state of pyridine nucleotide (NADH/NAD) in mitochondria in situ to a more reduced state as judged by organ fluorometry and beta-hydroxybutyrate/acetoacetate ratio. The organ spectrophotometric study revealed that glucagon and cyclic AMP induced the reduction of redox states of cytochromes a(a3), b and c+c1. Atractyloside (4 micrograms/ml) abolished the effects of glucagon on these parameters and gluconeogenesis from lactate. These observations suggest that glucagon increases the availability of substrates for mitochondrial respiration, and this alteration in mitochondrial function is crucial in enhancing gluconeogenesis.     

Potentiation by ammonia of the metabolic effects of pent-4-enoate in isolated rat hepatocytes.

The metabolic effects of pent-4-enoate were studied in isolated rat hepatocytes; 1 mM-pent-4-enoate did not significantly inhibit gluconeogenesis from lactate, alanine and glycerol, but significantly decreased glucose synthesis from pyruvate. The addition of 1 mM-NH4Cl led to a drastic inhibition of glucose synthesis from all these substrates. In hepatocytes incubated with 10 mM-alanine and 1 mM-oleate, pent-4-enoate at 0.05-1 mM slightly inhibited glucose synthesis and ketogenesis. The addition of ammonia resulted in a dramatic potentiation of the metabolic effects of pent-4-enoate. Half-maximum effect of ammonia was observed at 0.2 mM concentration. Concomitant cellular concentrations of ATP and acetyl-CoA were also decreased by the addition of ammonia, as were lactate/pyruvate ratio and beta-hydroxybutyrate/acetoacetate ratio. These data suggest that ammonia seriously interferes with the cellular metabolism of pent-4-enoate and leads to a dramatic potentiation of its effects.     

Mechanism for the oleate stimulation of gluconeogenesis from dihydroxyacetone by hepatocytes from fasted rats

Oleate stimulates glucose production and concomitantly decreases lactate and pyruvate production by rat hepatocyte suspensions incubated with dihydroxyacetone as substrate. The actions of oleate could be blocked by D-(+)dodecanoylcarnitine, which inhibits transport of the fatty acid into the mitochondria and the subsequent oxidation. beta-Hydroxybutyrate, but not acetoacetate, also stimulated glucose synthesis and inhibited lactate and pyruvate production. Furthermore, both beta-hydroxybutyrate and oleate stimulated oxygen consumption to the same extent. This suggests that oleate stimulates glucose production by the provision of energy subsequent to mitochondrial beta-oxidation of the fatty acids. The content of ATP itself did not appear to be responsible for the effects of oleate. Crossover analysis of the gluconeogenic intermediates implicated a site of oleate action between fructose 1,6-bisphosphate and fructose 6-phosphate, suggesting phosphofructokinase and/or fructose-bisphosphatase as possible regulatory sites. Coupled with the finding that intracellular citrate accumulates upon addition of oleate or beta-hydroxybutyrate, but not acetoacetate, the results suggest that citrate inhibition of phosphofructokinase accounts for the redirection of carbon flow from lactate and pyruvate formation and towards that of glucose.     

Glucagon-stimulated calcium efflux in the isolated perfused rat liver is dependent on cellular redox potential

In the absence of any exogenous substrates, glucagon (1 X 10(-9) M) stimulated 45Ca2+ efflux from perfused livers derived from fed rats but not in livers of 24-h-fasted animals. In livers of 24-h-fasted animals perfused under conditions which would decrease cellular NAD(P)H/NAD(P)+ ratio (pyruvate (2.0 mM) or acetoacetate (10.0 mM], glucagon (1 X 10(-9) M) did not stimulate 45Ca2+ efflux. Similarly, in livers of 24-h-fasted animals perfused with substrates which increase cellular NAD(P)H content (lactate (2.0 mM) or beta-hydroxybutyrate (10.0 mM], glucagon (1 X 10(-9) M) did not increase 45Ca2+ efflux. Glucagon (1 X 10(-9) M) elicited an increase in 45Ca2+ efflux from livers of 24-h-fasted animals, only when the livers were perfused with [lactate]/[pyruvate] and [beta-hydroxybutyrate]/[acetoacetate] ratios similar to those reported for livers of fed rats. Stimulation of 45Ca2+ efflux elicited by either 8-CPT-cAMP, a cAMP analog, or high glucagon concentrations (1 X 10(-8) M) was not affected whether livers were perfused with pyruvate (2.0 mM) or lactate (2.0 mM). Administration of isobutylmethylxanthine (50 microM) alone, or glucagon (1 X 10(-9) M) in the presence of isobutylmethylxanthine (50 microM) stimulated 45Ca2+ efflux from livers of 24-h-fasted animals perfused with pyruvate (2.0 mM) but not from livers perfused with lactate (2.0 mM). The ability of glucagon (1 X 10(-9) M) to elevate tissue cAMP levels was also regulated by the oxidation-reduction state of the livers. The data indicate that glucagon-stimulated 45Ca2+ efflux from perfused livers is mediated via cAMP and is dependent on the oxidation-reduction state of the livers.     

Ammonium ingestion prevents depletion of hepatic energy metabolites induced by acute ammonium intoxication

Ingestion of an ammonium containing diet produces hyperammonemia and protects rats against acute ammonium intoxication. Acute ammonium toxicity has been attributed to the depletion of energy metabolite intermediates. We show here that hyperammonemia affords considerable protection against depletion of hepatic energy metabolites evoked by ammonium acetate injection. In control rats there were marked decreases in the content of acetoacetate, beta-hydroxybutyrate, ATP, 2-oxoglutarate, lactate, and pyruvate while phosphoenolpyruvate increased markedly. In hyperammonemic rats beta-hydroxybutyrate, ATP, 2-oxoglutarate, and lactate were not significantly affected while pyruvate increased markedly and phosphoenolpyruvate slightly. These results suggest that in controls the activity of pyruvate kinase is inhibited after ammonium injection while in hyperammonemic rats it is not inhibited. The content of alanine (an inhibitor of pyruvate kinase) reached 2.8 mumol/g in controls and 1.6 mumol/g in hyperammonemic rats, 15 min after ammonium injection. This could explain the different effects of ammonium injection on control and hyperammonemic rats.     

Effect of cell density on metabolism in isolated rat hepatocytes

Freshly isolated rat hepatocytes show many changes in metabolic activities as a function of cell density in the incubation flask. Fatty acid synthesis, cholesterol synthesis, general protein synthesis, and rates of accumulation of pyruvate, lactate, citrate, acetyl-CoA, acetoacetate and beta-hydroxybutyrate decrease as the cell density increases between 1 mg/ml and 60 mg/ml. Glucose release only decreases between 1-5 mg/ml and the concentration of ATP does not vary at any density. There is a small increase in the lactate/pyruvate ratio and a dramatic decrease in the beta-hydroxybutyrate/acetoacetate ratio with increasing cell concentration. When cells at 8 or 28 mg/ml were incubated with added lactate and pyruvate, or alanine, a two fold increase in fatty acid synthesis and 50% decrease in cholesterol synthesis were observed as compared to rates with endogenous substrate. With added glucose the synthetic rates were similar to those obtained with endogenous substrate. However, regardless of the type of substrate used, the less dense cells gave rates up to three times greater than that of the more dense cells. When conditioned medium isolated after incubation of cells at high density was added to the less dense cells, a decrease in the rates of fatty acid synthesis and cholesterol synthesis was observed in the less dense cells; however, when medium from the less dense cells after incubation for the same period was added to the more dense cells, there was no significant change in fatty acid or cholesterol synthesis. These results suggest that a factor may be released into the medium of incubating hepatocytes that progressively inhibits certain metabolic processes as the cell density increases.     

Factors affecting Ca2+ transport in mouse islet and kidney mitochondria

The transport of Ca2+ in islet and kidney mitochondria respiring on succinate was inhibited by atractylate and fluorocitrate, and stimulated by pyruvate, isocitrate, alpha-ketoglutarate, dibutyryl cAMP, oligomycin and bongkrekate, and by in vivo administration of glucagon, glyceraldehyde or glucose. The kidney [beta-hydroxybutyrate]/[acetoacetate] ratio was increased in glyceraldehyde treated mice. The data suggest a relationship, which might be influenced by cAMP, between activity of pyruvate, isocitrate and alpha-ketoglutarate dehydrogenases and transport of Ca2+ in islet and kidney mitochondria. A contributory role of reductive carboxylation for Ca2+ uptake, and a role of citrate for Ca2+ retention are discussed.     

Preparation and characterization of isolated parenchymal cells from guinea pig liver

1. A method is described for the preparation of isolated cells from guinea pig liver. This involved perfusion in situ, in the non-physiological direction, with collagenase. 2. The cell yield was 20--30%, comparable with those from the livers of other species. 3. The ratio of lactate dehydrogenase to glutamate dehydrogenase in the cells was similar to that in vivo, indicating that there was negligible leakage of cytoplasmic enzymes. 4. The concentrations of K+ and adenine nucleotides were initially lower than in the perfused liver; normal values were obtained on incubation, particularly in the presence of substrate. 5. The L-lactate: pyruvate ratio is 16:1, close to established values. The total beta-hydroxybutyrate: acetoacetate ratio indicates that the mitochondrial redox state is more oxidised than in the perfused liver, but the intracellular ratio is similar to that of the intact liver. 6. Rates of gluconeogenesis and ureogenesis, are within the physiological range. Maximal gluconeogeneis from L-lactate was preceded by a lag period. L-lysine stimulated glucose production from L-lactate but did not abolish the lag phase. 7. The effects of aminooxyacetate and octanoate on L-lactate gluconeogenesis were similar to those in the perfused liver.     

Stimulation of alanine metabolism by ammonia in the perfused rat liver. Quantitative analysis by means of a mathematical model

The effect of ammonia on the catabolism of alanine was studied in the perfused rat liver. Addition of 0.5 mM NH4Cl to the perfusion medium containing 5 mM alanine plus 0.1 mM octanoate produced drastic changes in the metabolite concentrations in the efflux medium. Not only the rate of ureogenesis was activated, but also the formation of glucose, lactate and pyruvate. Additionally, respiration was stimulated, the output of ketone bodies decreased, and the redox ratios lactate/pyruvate as well as 3-hydroxybutyrate/acetoacetate became more oxidized. To interpret the causes of these metabolic changes, a mathematical model was developed. It contains kinetic equations by which fluxes through essential pathways of alanine catabolism, gluconeogenesis and energy metabolism were related to the intracellular concentrations of pyruvate, oxaloacetate and ammonia, as well as to the redox ratios lactate/pyruvate and 3-hydroxybutyrate/acetoacetate. Using a nonlinear regression procedure, the model was suitable to be fitted to the data found in the experiments. The consistency of the model and experiment allowed the changes caused by ammonia to be explained. Primarily, ammonia stimulated ureogenesis hence accelerating the deamination of alanine which led to the increased formation of pyruvate, lactate and glucose. The enhanced energetic load resulting from ureogenesis and gluconeogenesis shifted the mitochondrial and cytosolic NAD systems towards more oxidized states which additionally modified the flux rates. The results demonstrate that there is a high degree of cooperativity between the metabolic pathways.     

Comparative acute effects of leptin and insulin on gluconeogenesis and ketogenesis in perfused rat liver

The acute effects of physiological levels of leptin (10 ng ml(-1)) and insulin (20 microU ml(-1)) on hepatic gluconeogenesis and ketogenesis were compared. Leptin or insulin alone decreased (p<0.05) the activation of hepatic glucose, L-lactate and urea production from L-alanine. However, the hepatic glucose production was not modified if leptin was combined with insulin. These results indicated that both, i.e. leptin and insulin, could promote a non-additive reduction in the rate of catabolism of L-alanine. However, in contrast with insulin (p<0.05), leptin did not inhibit the activation of hepatic glucose production from pyruvate or glycerol. On the other hand, activation of hepatic production of acetoacetate and beta-hydroxybutyrate from octanoate was not affected by leptin or insulin. Thus, our data demonstrate that the acute effect of leptin on hepatic metabolism was partially similar to insulin (activation of glucose production from L-alanine and activation of acetoacetate or beta-hydroxybutyrate production from octanoate) and partially different from insulin (activation of glucose production from pyruvate or glycerol).     

Metabolism of dog gastric mucosa. Nucleotide levels in parietal cells.

Adenine and pyridine nucleotide levels as well as those of phosphate, phosphocreatine, lactate, pyruvate, beta-hydroxybutyrate, acetoacetate, glucose, and glycogen were measured in histologically defined parietal and mucous cell sections of biopsies of dog gastric mucosa at rest, and in various secretory states. As a result of stimulation of secretion, there appeared to be no change in adenine nucleotide levels, or phosphocreatine, but there was a rise in inorganic phosphate and a fall in phosphorylation potential. However, there was a marked increase in NADH, but no change in NADPH with onset of acid secretion. The increase in the lactate to pyruvate ratio showed that the increased NADH level occurred in the cytoplasm and these data are discussed with reference to change in cell pH.     

Methylene blue protection against hypoxic injury in primary cultures of rat hepatocyte monolayers

Mitochondrial respiration is inhibited in cells exposed to hypoxia, and the oxidation of NADH to NAD(+) is blocked. As a result, oxidation reactions requiring NAD(+) are blocked, disrupting cellular metabolism. We studied the influence of methylene blue, which oxidizes NADH, on hypoxic damage to primary cultures of rat hepatocyte monolayers. During hypoxic treatment of hepatocytes, aspartate aminotransferase leaked out of the cells into the culture medium. However, addition of methylene blue to the medium repressed the hypoxic leakage of the enzyme. The exposure of hepatocytes to hypoxia decreased the acetoacetate/beta-hydroxybutyrate ratio which reflects the redox state of the cell. The level of the acetoacetate/beta-hydroxybutyrate ratio in hypoxic cells was increased by the addition of methylene blue. These results suggest that methylene blue protects against hypoxic injury due to its oxidation of NADH.     

Metabolic regulation ofin vivo myocardial contractile function: multiparameter analysis

To gain insite into the mechanisms of myocardial regulation as it relates to the interaction of mechanical and metabolic function and perfusion, intact animal models were instrumented for routine physiological measurements of mechanical function and for measurements of metabolism (³¹P NMR, NADH fluorescence (redox state)) and perfusion (²H NMR and Laser doppler techniques). These techniques were applied to canine and cat models of volume and/or pressure loading, hypoxia, ischemia and cardiomyopathic states. Data generated using these techniques indicate that myocardial bioenergetic function is quite stable under most loading conditions as long as the heart is not ischemic. In addition, these data indicate that there is no universal regulator and that different biochemical regulators appear to mediate stable function under different physiological and pathophysiological conditions: for example; during hypoxia, NADH redox state appears to play a regulatory role; and in pressure loading, ADP, phosphorylation potential and free energy of ATP hydrolysis as well as NADH redox state appear to be regulatory.     

A comparison of the metabolic effects of continuous hypothermic perfusion or oxygenated persufflation during hypothermic storage of rat liver

The metabolic consequences of supplying oxygen by two different modes were investigated. The effects of hypothermic liver preservation after cold hypoxic flush (Group I), oxygenated vascular persufflation (Group II), and continuous oxygenated perfusion (Group III) were compared. Adenine nucleotides were measured to assess energetics, and 1H nuclear magnetic resonance spectroscopy was employed to investigate other metabolic pathways. Energetics were maintained by both modes of oxygenation at 24 h. The mitochondrial redox state is indicated by the ratio of acetoacetate (Ace) and beta-hydroxybutyrate (betaHb). The detection of only betaHb or Ace in the hypoxic flush and perfused livers, respectively, suggested that the mitochondria of these livers were hyperreduced and hyperoxidized, respectively. In contrast, both components of the redox couple were detected in the persufflated livers, suggesting that persufflation may be a simple and effective method of maintaining hepatic energetics long-term while maintaining a more normal mitochondrial redox state.     

Acetoacetate augments beta-adrenergic inotropism of stunned myocardium by an antioxidant mechanism

Blunted beta-adrenergic inotropism in stunned myocardium is restored by pharmacological (N-acetylcysteine) and metabolic (pyruvate) antioxidants. The ketone body acetoacetate is a natural myocardial fuel and antioxidant that improves contractile function of prooxidant-injured myocardium. The impact of acetoacetate on postischemic cardiac function and beta-adrenergic signaling has never been reported. To test the hypothesis that acetoacetate restores contractile performance and beta-adrenergic inotropism of stunned myocardium, postischemic Krebs-Henseleit-perfused guinea pig hearts were treated with 5 mM acetoacetate and/or 2 nM isoproterenol at 15-45 and 30-45 min of reperfusion, respectively, while cardiac power was monitored. The myocardium was snap frozen, and its energy state was assessed from phosphocreatine phosphorylation potential. Antioxidant defenses were assessed from GSH/GSSG and NADPH/NADP(+) redox potentials. Stunning lowered cardiac power and GSH redox potential by 90 and 70%, respectively. Given separately, acetoacetate and isoproterenol each increased power and GSH redox potential three- to fivefold. Phosphocreatine potential was 70% higher in acetoacetate- vs. isoproterenol-treated hearts (P < 0.01). In combination, acetoacetate and isoproterenol synergistically increased power and GSH redox potential 16- and 7-fold, respectively, doubled NADPH redox potential, and increased cAMP content 30%. The combination increased cardiac power four- to sixfold vs. the individual treatments without a coincident increase in phosphorylation potential. Potentiation of isoproterenol's inotropic actions endured even after acetoacetate was discontinued and GSH potential waned, indicating that temporary enhancement of redox potential persistently restored beta-adrenergic mechanisms. Thus acetoacetate increased contractile performance and potentiated beta-adrenergic inotropism in stunned myocardium without increasing energy reserves, suggesting its antioxidant character is central to its beneficial actions.     

Action of the antiepileptic drug, valproic acid, on fatty acid oxidation in isolated rat hepatocytes

Valproate at 0.1 to 5 mM strongly inhibited oxidation of 1-(14C)-palmitate in isolated rat hepatocytes. Valproate at the same concentrations markedly decreased ketogenesis from 1 mM oleate. Valproate in a dose up to 5 mM did not significantly affect cellular concentration of ATP but lowered beta-hydroxybutyrate/acetoacetate and lactate/pyruvate ratios which paralleled its effect on ketogenesis. Moreover concomitant acetyl-CoA levels were drastically decreased by valproate. From this it may be concluded that inhibition of fatty acid oxidation by valproate results in reduced production of two carbons units and a drop of NADH/NAD+ ratio in rat hepatocyte. This suggests that valproate seriously interferes with beta-oxidation of physiological long-chain fatty acids.     

Effects of increased mechanical work by isolated perfused rat heart during production or uptake of ketone bodies. Assessment of mitochondrial oxidized to reduced free nicotinamide-adenine dinucleotide ratios and oxaloacetate concentrations.

Metabolic effects of increased mechanical work were studied by comparing isolated pumping rat hearts perfused by the atrial-filling technique with aortic-perfused non-pumping hearts perfused by the technique of Langendorff. The initial medium usually contained glucose (11 mm) and palmitate (0.6 mm bound to 0.1 mm albumin). During increased heart work (comparing pumping with non-pumping hearts) the uptake of oxygen and glucose increased threefold, but that of free fatty acids was unchanged. Tissue contents of alpha-oxoglutarate, NH4+, malate, lactate, pyruvate and Pi rose with increased heart work, but contents of ATP, phosphocreatine and citrate fell. Ketone bodies were produced with a ratio of beta-hydroxybutyrate/acetoacetate of about 3:1 in both pumping and non-pumping hearts but with higher net production rates in non-pumping hearts. When ketone bodies were added in relatively high concentrations (total 4 mm) to a glucose (11 mm) medium the medium, ratios of beta-hydroxybutyrate/acetoacetate were not steady even after 60 min of perfusion. The validity of calculating mitochondrial free NAD+/NADH ratios from the tissue contents of the reactants of the glutamate dehydrogenase system or the beta-hydroxybutyrate dehydrogenase system is assessed. The activities of these enzymes are considerably less in the rat heart than in the rat liver, introducing reservations into the application to the heart of the principles used by Williamson et al. (1967) for calculation of mitochondrial free NAD+/NADH ratios of liver mitochondria...