Double-site enzymes and squatting. A study of the regulation by one or several ligands binding at two different classes of site

The existence of two (generally different) binding sites per protomer for the same ligand has already been observed (“double-site enzymes”). Furthermore, in some instances, the two sites appear to be shared in common by two or more ligands (“squatting”). The theoretical implications of such cases have been emphasized here using a generalization of an allosteric V model. This model, by taking into account the competition between ligands which occurs in vivo, evidences various, or even peculiar regulatory patterns, and could be of general physiological interest. It has been illustrated here by some real systems.     

Threshold effect and tissue specificity. Implication for mitochondrial cytopathies

Mitochondrial cytopathies present a tissue specificity characterized by the fact that even if a mitochondrial DNA mutation is present in all tissues, only some will be affected and induce a pathology. Several mechanisms have been proposed to explain this phenomenon such as the appearance of a sporadic mutation in a given stem cell during embryogenesis or mitotic segregation, giving different degrees of heteroplasmy in tissues. However, these mechanisms cannot be the only ones involved in tissue specificity. In this paper, we propose an additional mechanism contributing to tissue specificity. It is based on the metabolic expression of the defect in oxidative phosphorylation (OXPHOS) complexes that can present a biochemical threshold. The value of this threshold for a given OXPHOS complex can vary according to the tissue; thus different tissues will display different sensitivities to a defect in an OXPHOS complex. To verify this hypothesis and to illustrate the pathological consequences of the variation in biochemical thresholds, we studied their values for seven OXPHOS complexes in mitochondria isolated from five different rat tissues. Two types of behavior in the threshold curves can be distinguished corresponding to two modes of OXPHOS response to a deficiency. We propose a classification of tissues according to their type of OXPHOS response to a complex deficiency and therefore to their threshold values.     

The cytochrome bc1 complex in the mitochondrial respiratory chain functions according to the Q cycle hypothesis of Mitchell: the proof using a stochastic approach?

The bc1 complex is a central complex in the mitochondrial respiratory chain. It links the electrons transfer from ubiquinol (or coenzyme Q) to cytochrome c and proton translocation across the inner mitochondrial membrane. It is widely agreed that the "Q-cycle mechanism" proposed by Mitchell correctly describes the bc1 complex working. It is based on an unexpected separation of the two electrons coming from the coenzyme Q bound at the Q0 site of the bc1 complex. Using the stochastic approach of Gillespie and the known spatial structure of bc1 complexes with the kinetic parameters described by Moser and Dutton we demonstrated the natural emergence of the Q-cycle mechanism and the quasi absence of short-circuits in the functional dimer of bc1 complex without the necessity to invoke any additional mechanism. This approach gives a framework which is well adapted to the modelling of all oxido-reduction reactions of the respiratory chain complexes, normal or mutant.     

The flitting of electrons in complex I: A stochastic approach

A stochastic approach based on the Gillespie algorithm is particularly well adapted to describe the time course of the redox reactions that occur inside the respiratory chain complexes because they involve the motion of single electrons between the individual unique redox centres of a given complex. We use this approach to describe the molecular functioning of the peripheral arm of complex I based on its known crystallographic structure and the rate constants of electron tunnelling derived from the Moser and Dutton phenomenological equations. There are several possible electrons pathways but we show that most of them take the route defined by the successive sites and redox centres: NADH⁺ site – FMN – N3 – N1b – N4 – N5 – N6a – N6b – N2 – Q site. However, the electrons do not go directly from NADH towards the ubiquinone molecule. They frequently jump back and forth between neighbouring redox centres with the result that the net flux of electrons through complex I (i.e. net number of electrons reducing a ubiquinone) is far smaller than the number of redox reactions which actually occur. While most of the redox centres are reduced in our simulations the degree of reduction can vary according to the individual midpoint potentials. The high turnover number observed in our simulation seems to indicate that, in the whole complex I, one or several slower step(s) follow(s) the redox reactions involved in the peripheral arm. It also appears that the residence time of FMNH? and SQ? (possible producers of ROS) is low (around 4% and between 1.6% and 5% respectively according to the values of the midpoint potentials). We did not find any evidence for a role of N7 which remains mainly reduced in our simulations. The role of N1a is complex and depends upon its midpoint potential. In all cases its presence slightly decreases the life time of the flavosemiquinone species. These simulations demonstrate the interest of this type of model which links the molecular physico-chemistry of the individual redox reactions to the more global level of the reaction, as is observed experimentally.     

Mitochondrial energetic metabolism: A simplified model of TCA cycle with ATP production

Mitochondria play a central role in cellular energetic metabolism. The essential parts of this metabolism are the tricarboxylic acid (TCA) cycle, the respiratory chain and the adenosine triphosphate (ATP) synthesis machinery. Here a simplified model of these three metabolic components with a limited set of differential equations is presented. The existence of a steady state is demonstrated and results of numerical simulations are presented. The relevance of a simple model to represent actual in vivo behavior is discussed.     

ACoM: A classification method for elementary flux modes based on motif finding

Elementary flux mode analysis is a powerful tool for the theoretical study of metabolic networks. However, when the networks are complex, the determination of elementary flux modes leads to combinatorial explosion of their number which prevents from drawing simple conclusions from their analysis. To deal with this problem we have developed a method based on the Agglomeration of Common Motifs (ACoM) for classifying elementary flux modes. We applied this algorithm to describe the decomposition into elementary flux modes of the central carbon metabolism in Bacillus subtilis and of the yeast mitochondrial energy metabolism. ACoM helps to give biological meaning to the different elementary flux modes and to the relatedness between reactions. ACoM, which can be viewed as a bi-clustering method, can be of general use for sets of vectors with values 0, +1 or −1.     

Model-Assisted Analysis of Sugar Metabolism throughout Tomato Fruit Development Reveals Enzyme and Carrier Properties in Relation to Vacuole Expansion

A kinetic model combining enzyme activity measurements and subcellular compartmentation was parameterized to fit the sucrose, hexose, and glucose-6-P contents of pericarp throughout tomato (Solanum lycopersicum) fruit development. The model was further validated using independent data obtained from domesticated and wild tomato species and on transgenic lines. A hierarchical clustering analysis of the calculated fluxes and enzyme capacities together revealed stage-dependent features. Cell division was characterized by a high sucrolytic activity of the vacuole, whereas sucrose cleavage during expansion was sustained by both sucrose synthase and neutral invertase, associated with minimal futile cycling. Most importantly, a tight correlation between flux rate and enzyme capacity was found for fructokinase and PPi-dependent phosphofructokinase during cell division and for sucrose synthase, UDP-glucopyrophosphorylase, and phosphoglucomutase during expansion, thus suggesting an adaptation of enzyme abundance to metabolic needs. In contrast, for most enzymes, flux rates varied irrespectively of enzyme capacities, and most enzymes functioned at <5% of their maximal catalytic capacity. One of the major findings with the model was the high accumulation of soluble sugars within the vacuole together with organic acids, thus enabling the osmotic-driven vacuole expansion that was found during cell division.     

Uncoupling effects of local anesthetics on rat liver mitochondria

We demonstrate in this paper that bupivacaine, a local anesthetic, can act alone as an uncoupler of rat liver mitochondria. It stimulates state 4 respiration, induces a swelling in potassium acetate (in the presence of valinomycin), and collapses the transmembrane potential. Lidocaine, another local anesthetic, requires the presence of a lipophilic anion such as TPB- to produce the same effects. TPB- can also reinforce the action of bupivacaine. These differences in action of the two local anesthetics can be explained by the difference in the liposolubility.