Control of the metabolic flux in a system with high enzyme concentrations and moiety-conserved cycles. The sum of the flux control coefficients can drop significantly below unity.

In a number of metabolic pathways enzyme concentrations are comparable to those of substrates. Recently it has been shown that many statements of the 'classical' metabolic control theory are violated if such a system contains a moiety-conserved cycle. For arbitrary pathways we have found: (a) the equation connecting coefficients CEiJ (obtained by varying the Ei concentration) and CviJ (obtained by varying the kicat), and (b) modified summation equations. The sum of the enzyme control coefficients (equal to unity under the 'classical' theory) appears always to be below unity in the systems considered. The relationships revealed were illustrated by a numerical example where the sum of coefficients CEiJ reached negative values. A method for experimental measurements of the above coefficients is proposed.     

An iso-random Bi Bi mechanism for adenylate kinase.

An iso-random Bi Bi mechanism has been proposed for adenylate kinase. In this mechanism, one of the enzyme forms can bind the substrates MgATP and AMP, whereas the other form can bind the products MgADP and ADP. In a catalytic cycle, the conformational changes of the free enzyme and the ternary complexes are the rate-limiting steps. The AP(5)A inhibition equations derived from this mechanism show theoretically that AP(5)A acts as a competitive inhibitor for the forward reaction and a mixed noncompetitive inhibitor for the backward reaction.     

Nonequilibrium linear behavior of biological systems. Existence of enzyme-mediated multidimensional inflection points.

The linear phenomenological equations of nonequilibrium thermodynamics are limited theoretically to near equilibrium although a number of biological systems have been shown to exhibit a "linear" relationship between steady-state flows and conjugate thermodynamic forces outside the range of equilibrium. We have found a multidimensional inflection point which can exist well outside the range of equilibrium around with enzyme-catalyzed reactions exhibit "linear" behavior between the logarithm of reactant concentrations and enzyme catalyzed flows. A set of sufficient conditions has been derived which can be applied to any enzyme mechanism to determine whether a multidimensional inflection point exists. The conditions do not appear overly restrictive and may be satisfied by a large variety of coupled enzyme reactions. It is thus possible that the linearity observed in some biological systems may be explained in terms of enzyme operating near this multidimensional point.     

Kinetic analysis of enzyme systems with suicide substrate in the presence of a reversible, uncompetitive inhibitor.

We present a general kinetic analysis of enzyme catalyzed reactions evolving according to a Michaelis-Menten mechanism, in which an uncompetitive, reversible inhibitor acts. Simultaneously, enzyme inactivation is induced by an unstable suicide substrate, i.e. it is a Michaelis-Menten mechanism with double inhibition: one originating from the substrate and another originating from the reversible inhibitor. Rapid equilibrium of the reversible reaction steps involved is assumed and the time course equations for the reaction product have been derived under the assumption of limiting enzyme. The goodness of the analytical solutions has been tested by comparison with simulated curves obtained by numerical integration. A kinetic data analysis to determine the corresponding kinetic parameters from the time progress curve of the product is suggested.     

Deriving the rate equations for product inhibition patterns in bisubstrate enzyme reactions

In this work, the full rate equations for 17 completely reversible bisubstrate enzyme kinetic mechanisms, with two substrates in the forward and two in the reverse direction, have been presented; among these are rapid equilibrium, steady-state, and mixed steady-state and rapid equilibrium mechanisms. From each rate equation eight product inhibition equations were derived, four for the forward and four for the reverse direction. All the corresponding product inhibition equations were derived in full; thus a total of 17 × 8 = 136 equations, were presented. From these equations a list of product inhibition patterns were constructed and presented in a tabular form, both for the primary plots (intercept effects) and the secondary plots (slope effects).

The purpose of this work is to help investigators in practical work, especially biologists working with enzymes, to choose quickly an appropriate product inhibition pattern for the identification of the kinetic mechanism. The practical application of above product inhibition analysis was illustrated with three examples of yeast alcohol dehydrogenase-catalyzed reactions.     

Kinetics of a model of autocatalysis, coupling of a reaction in which the enzyme acts on one of its substrates.

A global kinetic analysis is presented of a model of an enzyme autocatalytic process, to which a reaction is coupled, in which the enzyme acts upon one of its substrates. The kinetic equations of both the transient phase and the steady state are derived for this mechanism. In addition, we determine the corresponding kinetic equations for several particular cases which are characterized by certain relations between the rate constants. Finally, a kinetic data analysis is proposed for one of these particular cases. It can easily be extended to any of the other cases.     

Deriving the rate equations for product inhibition patterns in bisubstrate enzyme reactions

In this work, the full rate equations for 17 completely reversible bisubstrate enzyme kinetic mechanisms, with two substrates in the forward and two in the reverse direction, have been presented; among these are rapid equilibrium, steady-state, and mixed steady-state and rapid equilibrium mechanisms. From each rate equation eight product inhibition equations were derived, four for the forward and four for the reverse direction. All the corresponding product inhibition equations were derived in full; thus a total of 17 x 8 = 136 equations, were presented. From these equations a list of product inhibition patterns were constructed and presented in a tabular form, both for the primary plots (intercept effects) and the secondary plots (slope effects). The purpose of this work is to help investigators in practical work, especially biologists working with enzymes, to choose quickly an appropriate product inhibition pattern for the identification of the kinetic mechanism. The practical application of above product inhibition analysis was illustrated with three examples of yeast alcohol dehydrogenase-catalyzed reactions.     

Generalization of the Monod-Wyman-Changeux model for the case of multisubstrate reactions]

A general equation is derived for the rate of multisubstrate reaction catalyzed by oligomeric enzyme E(R, T) liable to concerted transitions Ro in equilibrium To or Ro in equilibrium 2To. It is shown that with some assumptions about the enzymes the rate equations can be constructed from the rates of corresponding reactions catalyzed by a single active site. These single active site rate equations are known for the majority of catalysis mechanisms, otherwise they can be easily deduced. As an example the rate equation is derived for the reaction S1 + S2 + S3 in equilibrium S4 + S5 catalyzed by an oligomeric enzyme according to the ordered ter-bi mechanism.     

Kinetics of suicide substrates.

When suicide substrates inactivate enzymes during catalysis, formation of product and inactivation of enzyme proceed concurrently. The steady-state hypothesis is applicable when catalytic quantities of enzyme are used. Equations for the rate of inactivation have been derived and integrated to obtain equations describing progress curves.     

Kinetics of the classical complement activation cascade

Transient-phase and steady-state equations have been derived for the classical complement activation mechanism. From these equations the corresponding ones for the rapid equilibrium conditions have been derived. We propose an experimental design to determine the kinetic parameters.     

Kinetic analysis of a general model of activation of aspartic proteinase zymogens

Starting from a simple general reaction mechanism of activation of aspartic proteinase zymogens involving an uni- and a bimolecular simultaneous route, the time course equation of the concentration of the zymogen and of the activated enzyme have been derived. From these equations, an analysis quantifying the relative contribution to the global process of the two routes has been carried out for the first time. This analysis suggests a way to predict the time course of the relative contribution as well as the effect of the initial zymogen and activating enzyme concentrations, on the relative weight. An experimental design and kinetic data analysis is suggested to estimate the kinetic parameters involved in the reaction mechanism proposed. Finally, we apply some of our results to experimental data obtained by other authors in experimental studies of the activation of some aspartic proteinase zymogens.     

Kinetic mechanism of NADH-dependent glutamate synthase from lupin nodules.

From initial-rate studies, a partially random kinetic mechanism has been deduced for NADH-dependent glutamate synthase from lupin nodules. The mechanism involves compulsory binding of NADH as first substrate, followed by random-order binding of glutamine and 2-oxoglutarate. Patterns of inhibition by glutamate substantiate the mechanism. Dithionite was incapable of acting as an alternative reducing substrate although it is known to reduce the flavine groups of the enzyme. The implications of these results are discussed. Published rate equations for this type of mechanism were found to be unsatisfactory for this enzyme and suitable new equations are produced. These equations should have general application where the obligatory first substrate binds very tightly.     

Control analysis of metabolic networks. 2. Total differentials and general formulation of the connectivity relations

The mathematical background of the connectivity relations of metabolic control theory is analysed. The connectivity relations are shown to reflect general properties of total differentials of reaction rate vi, flux J, and metabolite concentration Xj. Connectivity relations hold for any metabolic network in which all vi are homogeneous functions of enzyme concentration Ei. This notion allows established algebraic methods to be used for the formulation of connectivity relations for metabolic systems in which numerous constraints are imposed on metabolite concentrations. A general procedure to derive connectivity relations for such metabolic systems is given. To encourage a broader audience to apply control theory to physiological systems, an easy-to-use graphical procedure is derived for formulating connectivity relations for biochemical systems in which no metabolite is involved in more than one constraint.     

Heat-labile isozymes of isocitrate lyase from aging Turbatrix aceti

The temperature stabilities of pure isocitrate lyase, isolated from young and old $\text{Turbatrix aceti}$, have been compared. The “old” enzyme shows the presence of a heat-labile component lacking in the enzyme derived from young organisms. This component has been shown to be associated with two of the five isozymes comprising the isocitrate lyase. A mechanism is proposed which might account for the presence of altered enzymes in aged organisms.     

Mx1 causes resistance against influenza A viruses in the Mus spretus-derived inbred mouse strain SPRET/Ei

Inbred SPRET/Ei mice, derived from Mus spretus, were found to be extremely resistant to infection with a mouse adapted influenza A virus. The resistance was strongly linked to distal chromosome 16, where the interferon-inducible Mx1 gene is located. This gene encodes for the Mx1 protein which stimulates innate immunity to Orthomyxoviruses. The Mx1 gene is defective in most inbred mouse strains, but PCR revealed that SPRET/Ei carries a functional allele. The Mx1 proteins of M. spretus and A2G, the other major resistant strain derived from Mus musculus, share 95.7% identity. We were interested whether the sequence variations between the two Mx1 alleles have functional significance. To address this, we used congenic mouse strains containing the Mx1 gene from M. spretus or A2G in a C57BL/6 background. Using a highly pathogenic influenza virus strain, we found that the B6.spretus-Mx1 congenic mice were better protected against infection than the B6.A2G-Mx1 mice. This effect may be due to different Mx1 induction levels, as was shown by RT-PCR and Western blot. We conclude that SPRET/Ei is a novel Mx1-positive inbred strain useful to study the biology of Mx1.     

Kinetics of alkaline phosphatase from pig kidney. Mechanism of activation by magnesium ions

The mechanism of activation of alkaline phosphatase (EC 3.1.3.1) from pig kidney by Mg²⁺ ions was investigated with the aid of kinetic measurements. Mg²⁺ ions are essential for enzyme activity. The following model (Scheme 1 of the text) for the reaction of enzyme, substrate and Mg²⁺ ions was derived: [Formula: see text] The binding of the substrate to the enzyme is independent of the binding of the activator, and vice versa. Mg²⁺ must therefore play a part in the substrate decomposition. It is not possible to determine whether the Mg²⁺ ions are involved directly in the catalytic process, or whether they act as regulatory effectors. Because of the strong affinity existing between the alkaline phosphatase and Mg²⁺, it is necessary to adjust the metal-ion concentration with the aid of a metal buffer. In the Appendix the necessary equations are derived for calculating the concentration of free metal ions in a system with several different metal ions. A FORTRAN IV program for solving these equations and for graphic presentation of the results has been deposited as Supplementary Publication SUP 50030 at the British Library (Lending Division) (formerly the National Lending Library for Science and Technology), Boston Spa, Yorks. LS 23 7 BQ, U.K., from whom copies may be obtained on the terms indicated in Biochem. J. (1973), 131, 5.     

Deep short-read sequencing of chromosome 17 from the mouse strains A/J and CAST/Ei identifies significant germline variation and candidate genes that regulate liver triglyceride levels

Genome sequences are essential tools for comparative and mutational analyses. Here we present the short read sequence of mouse chromosome 17 from the Mus musculus domesticus derived strain A/J, and the Mus musculus castaneus derived strain CAST/Ei. We describe approaches for the accurate identification of nucleotide and structural variation in the genomes of vertebrate experimental organisms, and show how these techniques can be applied to help prioritize candidate genes within quantitative trait loci.     

Y-chromosomal factor is involved in neonatal lethality in (♀ DDD × ♂DH-Dh/+) F1-Dh/+ male mice

The dominant hemimelia(Dh) mutation causes various developmental abnormalities in mice. Most -Dh/+ males, crosses between DDD females and DH-Dh/+ males, have lethal abnormalities during the neonatal period. This is a consequence of synergism among three independent gene loci; that is, theDh allele on chromosome (Chr) 1, the DDD allele on an X Chr-linked locus, and a Y Chr-linked locus in some strains. With regard to the Y Chr derived fromMus musculus musculus (M. m. musculus), the Y Chrs of C57BL/6J and BALB/cA caused lethality, but the Y Chr of C3H/HeJ did not, suggesting that not allM. m. musculus Y Chrs are the same. In the present study, whether Y Chrs derived fromM. m. domesticus andM. m. castaneus could cause lethality was investigated. Among seven inbred strains, including AKR/J, DDD, RF/J, SJL/J, SWR/J, TIRANO/Ei, and CAST/Ei, Y Chrs of AKR/ J, DDD, SJL/J, SWR/J, and TIRANO/Ei caused lethality, but Y Chrs of RF/J and CAST/Ei did not. It was unlikely that the mitochondrial genome of the DDD strain contributed to the lethality. The X Chr-linked locus could not compensate for the role of the Y Chr-linked locus. These results suggest that not allM. m. domesticus Y Chrs are the same.