Analysis of allosteric mechanisms of suppressing parasitic recirculation in the futile cycle fructose-6-P--fructose-1,6-P2

The uncontrollable substrate recirculation in the central futile cycle (FC) in the carbohydrate energy metabolism fructose-6-P (F6P) in equilibrium or formed from fructose-1,6-P2 (FBP), makes it impossible to maintain a stable level of ATP because of its wasteful expenditure in the cycle reactions which are equivalent to the ATPase reaction and also because of the diversion of FBP from glycolytic phosphorylation of ADP. It follows from the analysis of a mathematical model of the carbohydrate energy metabolism that the allosteric inhibition of fructosebisphosphatase (FBPase) by FBP and AMP leads to suppression of the recirculation in the FC and recovery of the ability of glycolysis to stabilize the level of ATP with high accuracy. The allosteric activation of phosphofrucktokinase (PFK) by AMP couples the expenditure of ATP and F6P in the FC with ATP consumption by a load.     

Mathematical model of stabilization of circadian rhythm in cell energy metabolism

A mathematical model for circadian self-oscillation in the carbohydrate branch of energy metabolism (CEM) was analysed. The self-oscillations are due to the reciprocal regulation of the activities of 6-phosphofructokinase and fructose-1,6-bisphosphatase by fructose-1,6-bisphosphate. The circadian period was shown to be insensitive to metabolic disturbances because of the presence in CEM of negative feedback mechanisms regulating the activities of the key enzymes 6-phosphofructokinase, fructose-1,6-bisphosphatase, pyruvate kinase and phosphoenolpyruvate carboxykinase. It has been also shown that such mechanisms are largely synergistic in their action.     

Functional Properties of Lactate Dehydrogenase from Dunaliella salina and Its Role in Glycerol Synthesis

The dependence of the catalytic properties of lactate dehydrogenase (LDH, EC 1.1.1.27) from a halophilic alga Dunaliella salina, a glycophilic alga Chlamydomonas reinhardtii, and from porcine muscle on glycerol concentration, medium pH, and temperature was investigated. Several chemical properties of the enzyme from D. salina differentiated it from the LDH preparation obtained from C. reinhardtii and any homologous enzymes of plant, animal, and bacterial origin. (1) V _max of pyruvate reduction manifested low sensitivity to the major intracellular osmolyte, glycerol. (2) The affinity of LDH for its coenzyme NADH dropped in the physiological pH region of 6–8. Above pH 8, NADH virtually did not bind to LDH, while the enzyme affinity for pyruvate did not change considerably. (3) The enzyme thermostability was extremely low: LDH was completely inactivated at room temperature within 30 min. The optimum temperature for pyruvate reduction (32°C) was considerably lower than with the enzyme preparations from C. reinhardtii (52°C) and porcine muscle (61°C). (4) NADH greatly stabilized LDH: the ratio of LDH inactivation constants in the absence of the coenzyme and after NADH addition at the optimum temperature in the preparation from D. salina exceeded the corresponding indices of LDH preparations from C. reinhardtii twelve times and from porcine muscle eight times. The authors believe that these LDH properties match the specific metabolism of D. salina which is set at rapid glycerol synthesis under hyperosmotic stress conditions. The increase of cytoplasmic pH value produced in D. salina by the hyperosmotic shock can switch off the terminal reaction of the glycolytic pathway and thus provide for the most efficient utilization of NADH in the cycle of glycerol synthesis. As LDH is destabilized in the absence of NADH, this reaction is also switched off. In the course of alga adaptation to the hyperosmotic shock, glycerol accumulation and the neutralization of intracellular pH stabilize LDH, thus creating the conditions for restoring the complete glycolytic cycle.     

Homeostasis of the auto-oscillation period in a model of a cellular circadian clock

A mathematical model was numerically investigated which describes the autooscillatory temporal organization of futile cycles of the carbohydrate branch of energy metabolism. Using an optimization method we found a region in the parametric space of the model in which the circadian oscillation period was practically constant, although the major eight parameters varied in a wide range. Such homeostasis of the period is due to synergistic effects of the four feed-back mechanisms regulating activities of the key enzymes. The result obtained supports the metabolic theory of the circadian cell clock.