Significance of two transmembrane ion gradients for human erythrocyte volume stabilization.

Functional effectiveness of erythrocytes depends on their high deformability that allows them to pass through narrow tissue capillaries. The erythrocytes can deform easily due to discoid shape provided by the stabilization of an optimal cell volume at a given cell surface area. We used mathematical simulation to study the role of transport Na/K-ATPase and transmembrane Na+ and K+ gradients in human erythrocyte volume stabilization at non-selective increase in cell membrane permeability to cations. The model included Na/K-ATPase activated by intracellular Na+, Na+ and K+ transmembrane gradients, and took into account contribution of glycolytic metabolites and adenine nucleotides to cytoplasm osmotic pressure. We found that this model provides the best stabilization of the erythrocyte volume at non-selective increase in the permeability of the cell membrane, which can be caused by an oxidation of the membrane components or mechanical stress during circulation. The volume of the erythrocyte deviates from the optimal value by no more than 10% with a change in the non-selective permeability of the cell membrane to cations from 50 to 200% of the normal value. If only one transmembrane ion gradient is present (Na+), the cell loses the ability to stabilize volume and even small changes in membrane permeability cause dramatic changes in the cell volume. Our results reveal that the presence of two oppositely directed transmembrane ion gradients is fundamentally important for robust stabilization of cellular volume in human erythrocytes.

The logic of the hepatic methionine metabolic cycle.

This review describes our current understanding of the "traffic lights" that regulate sulfur flow through the methionine bionetwork in liver, which supplies two major homeostatic systems governing cellular methylation and antioxidant potential. Theoretical concepts derived from mathematical modeling of this metabolic nexus provide insights into the properties of this system, some of which seem to be paradoxical at first glance. Cellular needs supported by this network are met by use of parallel metabolic tracks that are differentially controlled by intermediates in the pathway. A major task, i.e. providing cellular methylases with the methylating substrate, S-adenosylmethionine, is met by flux through the methionine adenosyltransferase I isoform. On the other hand, a second important function, i.e., stabilization of the blood methionine concentration in the face of high dietary intake of this amino acid, is achieved by switching to an alternative isoform, methionine adenosyltransferase III, and to glycine N-methyl transferase, which together bypass the first two reactions in the methionine cycle. This regulatory strategy leads to two metabolic modes that differ in metabolite concentrations and metabolic rates almost by an order of magnitude. Switching between these modes occurs in a narrow trigger zone of methionine concentration. Complementary experimental and theoretical analyses of hepatic methionine metabolism have been richly informative and have the potential to illuminate its response to oxidative challenge, to methionine restriction and lifespan extension studies and to diseases resulting from deficiencies at specific loci in this pathway.

Anion permeability and erythrocyte swelling.

Permeability of cell membranes to cations may increase as a result of membrane oxidation or in certain pathologies. We studied the effects of nonselective increases in cell membrane permeability to univalent cations on the volume of erythrocytes incubated in phosphate-buffered saline (PBS) using amphotericin B (5-10 mg/l suspension) or gramicidin D (10-100 microg/l suspension) as the membrane permeabilizing agents. Both antibiotics caused K+ to leak, Na+ to accumulate intracellularly, and cell volume to increase. The interval needed to reach the equilibrium between the intracellular and extracellular ion concentrations ranged from 30 min to several hours, depending on the antibiotic concentration. In spite of a rapid disappearance of cation transmembrane gradients, cell volume increased relatively slow. Even 24 h after the membrane permeability was changed, the volume of most erythrocytes did not increase to the lytic values (about 1.6 times the normal volume). The slow increase in erythrocyte volume was accounted for by slow changes in the transmembrane Cl- gradient. 4,4'-Diisothiocyanatostilbene-2,2'-disulfonic acid (DIDS), a specific inhibitor of anion transport, while producing no effect on the transmembrane Na+ and K+ fluxes induced by the antibiotics, significantly inhibited the decrease in the transmembrane Cl- gradient and the increase in erythrocyte volume. Analysis of these data by means of mathematical modeling showed that it failed to satisfactorily describe the experimental kinetics of erythrocyte swelling in response to increases in the membrane permeability to univalent cations if its permeability to Cl was set to be constant. The satisfactory description of this kinetics could be achieved by assuming that the membrane permeability to anions decreased with increasing erythrocyte volume. The results obtained demonstrate that transmembrane anion transport may be considered to be a component of the mechanism responsible for the erythrocyte volume stabilization, because a significant decrease in the swelling rate allows the erythrocytes with damaged membranes to activate a relatively slow (metabolic) mechanisms of cell volume stabilization and/or repair their damaged membranes.

A substrate switch: a new mode of regulation in the methionine metabolic pathway.

We propose a simple mathematical model of liver S -adenosylmethionine (AdoMet) metabolism. Analysis of the model has shown that AdoMet metabolism can operate under two different modes. The first, with low metabolic rate and low AdoMet concentration, serves predominantly to supply the cell with AdoMet, the substrate for various cellular methylation reactions. The second, with high metabolic rate and high AdoMet concentration, provides an avenue for cleavage of excess methionine and can serve as a source of cysteine when its increased synthesis is necessary. The switch that triggers interconversion between the "low" and "high" modes is methionine concentration. Under a certain set of parameters both modes may coexist. This behavior results from the kinetic properties of (i) the two isoenzymes of AdoMet synthetase, MATI and MATIII, that catalyse AdoMet production; one is inhibited by AdoMet, whereas the other is activated by it, and (ii) glycine- N -methyltransferase that displays highly cooperative kinetics that is different from that of other AdoMet-dependent methyltransferases. Thus, the model provides an explanation for how different cellular needs are met by regulation of this pathway. The model also correctly identifies a critical role for glycine N -methyltransferase in depleting excess methionine in the high mode, thus avoiding the toxicity associated with elevated levels of this essential amino acid.

Deficiencies of glycolytic enzymes as a possible cause of hemolytic anemia.

The critical minimum values of Na,K-ATPase and glycolytic enzyme activities at which the erythrocyte viability is lost were calculated using the mathematical model of the erythrocyte, which included all reactions of glycolysis, adenylate metabolism, ionic balance, and osmotic regulation of erythrocyte volume. The criterion for cell death was an increase in its volume to the level at which it is sequestrated from the circulation or is lysed. In hemolytic anemia associated with hexokinase or pyruvate kinase deficiency, activities of these enzymes measured in patient erythrocytes appeared to be close to the calculated critical values. By contrast, in hemolytic anemia associated with phosphofructokinase, glucosephosphate isomerase, triosephosphate isomerase, or phosphoglycerate kinase deficiency, activities of these enzymes measured in patient erythrocytes were significantly greater than the calculated critical values. In this case, if the deficient enzyme were stable, i.e. its activity in the cell were low, but constant in time, the deficiency observed would not account for the erythrocyte destruction observed and the development of hemolytic anemia. It was shown, however, that in phosphofructokinase, glucosephosphate isomerase, triosephosphate isomerase, or phosphoglycerate kinase deficiency, hemolytic anemia can arise because of the instability of these enzymes in time.

Volume stabilization in human erythrocytes: combined effects of Ca2+-dependent potassium channels and adenylate metabolism.

A mathematical model describing the possible role of Ca(2+)-dependent K+ channels and adenylate metabolism in volume stabilization of human erythrocytes was developed. The model predicts that the red blood cell volume can be stabilized either dynamically or stationary over a broad range of cell membrane permeabilities to cations. The dynamic stabilization results from the operation of Ca(2+)-dependent potassium channels. The erythrocyte volume changes less than 10% if the membrane permeability changes abruptly to a value in the range from half to sevenfold higher than the normal one. The stationary stabilization is achieved via controlling the adenylate metabolism. The stationary value of cell volume changes less than 10% when the membrane permeability varies from half the normal value to 15-fold higher than the normal value.