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An extensive thermodynamic characterization of the dimerization domain of the HIV-1 capsid protein.

The type 1 human immunodeficiency virus presents a conical capsid formed by several hundred units of the capsid protein, CA. Homodimerization of CA occurs via its C-terminal domain, CA-C. This self-association process, which is thought to be pH-dependent, seems to constitute a key step in virus assembly. CA-C isolated in solution is able to dimerize. An extensive thermodynamic characterization of the dimeric and monomeric species of CA-C at different pHs has been carried out by using fluorescence, circular dichroism (CD), absorbance, nuclear magnetic resonance (NMR), Fourier transform infrared (FTIR), and size-exclusion chromatography (SEC). Thermal and chemical denaturation allowed the determination of the thermodynamic parameters describing the unfolding of both CA-C species. Three reversible thermal transitions were observed, depending on the technique employed. The first one was protein concentration-dependent; it was observed by FTIR and NMR, and consisted of a broad transition occurring between 290 and 315 K; this transition involves dimer dissociation. The second transition (Tm approximately 325 K) was observed by ANS-binding experiments, fluorescence anisotropy, and near-UV CD; it involves partial unfolding of the monomeric species. Finally, absorbance, far-UV CD, and NMR revealed a third transition occurring at Tm approximately 333 K, which involves global unfolding of the monomeric species. Thus, dimer dissociation and monomer unfolding were not coupled. At low pH, CA-C underwent a conformational transition, leading to a species displaying ANS binding, a low CD signal, a red-shifted fluorescence spectrum, and a change in compactness. These features are characteristic of molten globule-like conformations, and they resemble the properties of the second species observed in thermal unfolding.

Anilino Naphthalenesulfonates↗

Thermodynamics of unfolding of an integral membrane protein in mixed micelles.

Quantitative studies of membrane protein folding and unfolding can be difficult because of difficulties with efficient refolding as well as a pronounced propensity to aggregate. However, mixed micelles, consisting of the anionic detergent sodium dodecyl sulfate and the nonionic detergent dodecyl maltoside facilitate reversible and quantitative unfolding and refolding. The 4-transmembrane helix protein DsbB from the inner membrane of Escherichia coli unfolds in mixed micelles according to a three-state mechanism involving an unfolding intermediate I. The temperature dependence of the kinetics of this reaction between 15 degrees and 45 degrees C supports that unfolding from I to the denatured state D is accompanied by a significant decrease in heat capacity. For water-soluble proteins, the heat capacity increases upon unfolding, and this is generally interpreted as the increased binding of water to the protein as it unfolds, exposing more surface area. The decrease in DsbB's heat capacity upon unfolding is confirmed by independent thermal scans. The decrease in heat capacity is not an artifact of the use of mixed micelles, since the water soluble protein S6 shows conventional heat-capacity changes in detergent. We speculate that it reflects the binding of SDS to parts of DsbB that are solvent-exposed in the native DM-bound state. This implies that the periplasmic loops of DsbB are relatively unstructured. This anomalous thermodynamic behavior has not been observed for beta-barrel membrane proteins, probably because they do not bind SDS so extensively. Thus the thermodynamic behavior of membrane proteins appears to be intimately connected to their detergent-binding properties.

Glucosides↗

Thermodynamic stability measurements on multimeric proteins using a new H/D exchange- and matrix-assisted laser desorption/ionization (MALDI) mass spectrometry-based method.

We recently reported on a new H/D exchange- and matrix-assisted laser desorption/ionization (MALDI) mass spectrometry-based technique, termed SUPREX, that removes several important limitations associated with measuring the thermodynamic stability of proteins. In contrast to conventional spectroscopy-based techniques for characterizing the equilibrium unfolding behavior of proteins, SUPREX is amenable to the thermodynamic analysis of both purified and unpurified proteins using mg to ng quantities of material. Here we report on the application of SUPREX to the analysis of multimeric protein systems. Included in this work are the SUPREX results we obtained in studies on six model multimeric proteins including the GCN4p1 dimer, the coil-V(a)L(d) trimer, the 4-oxalocrotonate tautomerase (4-OT) hexamer, the Trp repressor (TrpR) dimer, the Arc repressor (ArcR) dimer, and an ArcR mutant (the (DOA20)ArcR) dimer which contained two destabilizing mutations including an Asp to Ala mutation at position 20 and an amide to ester bond mutation between amino acid (aa) residues 19 and 20. As part of the work described here, we present a new method for the analysis of SUPREX data that is generally applicable to both monomeric and multimeric protein systems. Our results on the model proteins in this study indicate that this new method can be used to determine folding free energies for proteins with the accuracy and precision of conventional spectroscopy-based methods.

Bacterial Proteins↗

Direct comparison of binding equilibrium, thermodynamic, and rate constants determined by surface- and solution-based biophysical methods.

The binding interactions of small molecules with carbonic anhydrase II were used as model systems to compare the reaction constants determined from surface- and solution-based biophysical methods. Interaction data were collected for two arylsulfonamide compounds, 4-carboxybenzenesulfonamide (CBS) and 5-dimethyl-amino-1-naphthalene-sulfonamide (DNSA), binding to the enzyme using surface plasmon resonance, isothermal titration calorimetry, and stopped-flow fluorescence. We demonstrate that when the surface plasmon resonance biosensor experiments are performed with care, the equilibrium, thermodynamic, and kinetic constants determined from this surface-based technique match those acquired in solution. These results validate the use of biosensor technology to collect reliable data on small molecules binding to immobilized macromolecular targets. Binding kinetics were shown to provide more detailed information about complex formation than equilibrium constants alone. For example, although carbonic anhydrase II bound DNSA with twofold higher affinity than CBS, kinetic analysis revealed that CBS had a fourfold slower dissociation rate. Analysis of the binding and transition state thermodynamics also revealed significant differences in the enthalpy and entropy of complex formation. The lack of labeling requirements, high information content, and high throughput of surface plasmon resonance biosensors will make this technology an important tool for characterizing the interactions of small molecules with enzymes and receptors.

Animals↗

Thermodynamic dissection of the binding energetics of KNI-272, a potent HIV-1 protease inhibitor.

KNI-272 is a powerful HIV-1 protease inhibitor with a reported inhibition constant in the picomolar range. In this paper, a complete experimental dissection of the thermodynamic forces that define the binding affinity of this inhibitor to the wild-type and drug-resistant mutant V82F/184V is presented. Unlike other protease inhibitors, KNI-272 binds to the protease with a favorable binding enthalpy. The origin of the favorable binding enthalpy has been traced to the coupling of the binding reaction to the burial of six water molecules. These bound water molecules, previously identified by NMR studies, optimize the atomic packing at the inhibitor/protein interface enhancing van der Waals and other favorable interactions. These interactions offset the unfavorable enthalpy usually associated with the binding of hydrophobic molecules. The association constant to the drug resistant mutant is 100-500 times weaker. The decrease in binding affinity corresponds to an increase in the Gibbs energy of binding of 3-3.5 kcal/mol, which originates from less favorable enthalpy (1.7 kcal/mol more positive) and entropy changes. Calorimetric binding experiments performed as a function of pH and utilizing buffers with different ionization enthalpies have permitted the dissection of proton linkage effects. According to these experiments, the binding of the inhibitor is linked to the protonation/deprotonation of two groups. In the uncomplexed form these groups have pKs of 6.0 and 4.8, and become 6.6 and 2.9 in the complex. These groups have been identified as one of the aspartates in the catalytic aspartyl dyad in the protease and the isoquinoline nitrogen in the inhibitor molecule. The binding affinity is maximal between pH 5 and pH 6. At those pH values the affinity is close to 6 x 10(10) M(-1) (Kd = 16 pM). Global analysis of the data yield a buffer- and pH-independent binding enthalpy of -6.3 kcal/mol. Under conditions in which the exchange of protons is zero, the Gibbs energy of binding is -14.7 kcal/mol from which a binding entropy of 28 cal/K mol is obtained. Thus, the binding of KNI-272 is both enthalpically and entropically favorable. The structure-based thermodynamic analysis indicates that the allophenylnorstatine nucleus of KNI-272 provides an important scaffold for the design of inhibitors that are less susceptible to resistant mutations.

Calorimetry, Differential Scanning↗

Alcohol induced conformational transitions of proteins and polypeptides. Thermodynamic studies of some model compounds.

Integral enthalpies of solution of diglycine in tert.-butyl alcohol + water and of diglycine and beta-alanine in ethanol + water mixtures were measured at 298.15 K as a function of alcohol concentration. Enthalpies of transfer of the solutes from water to aqueous alcohol mixtures were evaluated from these data. Entropies of transfer of a peptide backbone unit (CH2CONH) and peptide group (CONH) from water to aqueous ethanol solutions were derived from the enthalpy of transfer data and the free energies of transfer of glycine, alpha-alanine, beta-alanine and diglycine. The thermodynamic transfer functions are discussed in terms of "water structure" mediated solute-solute interactions. The observed trends in the thermodynamic transfer functions have also been utilized to rationalize the effect of alcohols on the conformational stability of proteins and polypeptides in aqueous solutions.

Butanols↗

Circular dichroism studies of 6-N-methylated adenylyladenosine and adenylyluridine and their parent compounds. Thermodynamics of stacking.

The temperature dependence of the circular dichroism spectra of two adenylyladenosine and three adenylyluridine dinucleotides in aqueous solution have been studied. The effect of methylation of the N-6 position of the adenylyl moieties on the thermodynamic parameters of the stacking equilibrium was investigated applying a two-state model for the thermodynamic analysis of the experimental data. It is shown that the methylated compounds allow a more accurate analysis of the data and that methylation stabilizes the stacking interaction by a relative decrease of the entropy of unstacking.

Adenosine Monophosphate↗

A thermodynamic study of cooperative structures in rabbit immunoglobulin G.

The intramolecular melting of rabbit immunoglobulin G and its proteolytic fragments has been studied by scanning microcalorimetry in the acidic pH region. By thermodynamic analysis of the heat capacity function the following conclusions have been made. 1. The Fab and Fc fragments in IgG molecules are thermodynamically practically independent subunits in the pH region studied. 2. The Fab fragment exhibits three cooperative transitions at melting. Two of these transitions are explained assuming that equivalent domains in this fragment are paired, forming two cooperative blocks, while the third transition seems to correspond to the disruption of contacts between these cooperative blocks. 3. Fc and pFc' fragments exhibit four and two cooperative transitions, respectively. These transitions can be explained only by assuming that each of the structural domains of these fragments consists of two subparts and that the pairs of equivalent subparts are merged into the cooperative blocks thus forming four cooperative blocks in the Fc fragment.

Animals↗

Thermodynamics of stacking and of self-association of the dinucleoside monophosphate m2(6)A-U from proton NMR chemical shifts: differential concentration temperature profile method.

Chemical shifts of base and sugar protons of the modified ribodinucleoside monophosphate N6-dimethyladenylyl(3'-5')uridine (m2(6)A-U) were measured at 100, 360 and 400 MHz in aqueous solution. Seven different samples were used with concentrations ranging from 0.28 mM to 32.7 mM. The temperature was varied from -5 degrees C to 105 degrees C. An internal temperature calibration was used. The effects of intermolecular self-association and of intramolecular stacking on the chemical shifts were quantitatively separated by means of a new approach: differential concentration/temperature profiles (DCTP). Several computational models were tested and the analysis allowed deeper insight into the behaviour of m2(6)A-U at the molecular level. The simple two-state approach for both self-association and stacking already afforded a significant improvement over models in which the association is entirely neglected. A computer least-squares analysis of the chemical shift behaviour of each individual proton yielded thermodynamic parameters for self-association and stacking. However, the two-state model did not suffice to reproduce accurately all of the observations. A satisfactory fit required two additional assumptions: (a) the aromatic protons experience different association shifts in stacked and in unstacked molecules: (b) a temperature-dependent conformational equilibrium exists between sets of unstacked microstates. The stacked state is taken to represent a single conformational species. The implementation of this extended model in the least-squares optimization allowed the reproduction of over one thousand chemical shift observations within experimental error. Thermodynamic equilibrium parameters deduced for intramolecular stacking are: delta H degrees x = -28.8 kJ mol-1, delta S degrees x = -93 J mol-1 K-1. These numbers agree well with those obtained earlier by us from circular dichroism spectra. The equilibrium enthalpy and entropy values deduced for the association process are: delta H degrees A = -35 kJ mol-1 and delta S degrees A = -95 J mol-1 K-1.

Adenosine Monophosphate↗

Studies of the cellulolytic system of Trichoderma reesei QM 9414. Reaction specificity and thermodynamics of interactions of small substrates and ligands with the 1,4-beta-glucan cellobiohydrolase II.

The 1,4-beta-glucan cellobiohydrolase II (CBH II) from Trichoderma reesei QM 9414 catalyses the hydrolysis of the 4-methylumbelliferyl beta-D-glycosides derived from cellotriose, cellotetraose and cellopentaose [MeUmb(Glc)n; n = 3 - 5]. The reaction has been followed by quantitative high-performance liquid chromatography. Specific activity for cellobiose removal at apparent substrate saturation were determined as (0.8 +/- 0.2) min-1 for MeUmb(Glc)3 and (9 +/- 2) min-1 for MeUmb(Glc)4. The enzyme showed a deviant specificity with MeUmb(Glc)5 as substrate. Two chromophoric products were formed simultaneously [MeUmb(Glc)3 and MeUmb(Glc)2] with turn-over numbers (17 +/- 4) min-1 and (21 +/- 6) min-1, respectively. Methylumbelliferyl beta-glucoside (MeUmbGlc) and the corresponding cellobioside [MeUmb(Glc)2] were used in equilibrium binding experiments. Both ligands yielded one binding site per molecule of Mr = 54000 upon forced flow dialysis (diafiltration). The association constants found were in fair agreement with those determined from MeUmb fluorescence quenching titrations. Quenching was total at all temperatures investigated for MeUmb(Glc)2, whereas for MeUmbGlc it increased from 80% to 100% between 2 degrees C and 20 degrees C. The association constants fitted linear van't Hoff plots in both cases. MeUmb(Glc)2 and MeUmbGlc were also used as indicator ligands to determine the association constants and thermodynamic parameters of several non-chromophoric ligands of CBH II. The binding of glucose increased the affinity for MeUmb(Glc)2 whereas it displaced MeUmbGlc from its complex. A putative binding site of the CBH II containing four subsites can be proposed. The thermodynamic data for methyl beta-D-glucopyranoside and cellobiose as ligands also point at an extended binding site.

Cellulose 1,4-beta-Cellobiosidase↗

Thermodynamics and the structure of biological macromolecules. Rozhinkes mit mandeln.

In this review, I will discuss the role of thermodynamics in both the determination and evaluation of the structure of biological macromolecules. The presentation relates to the historical context, state-of-the-art and projection into the future. Fundamental features relate to the effect of charge, exemplified in the study of synthetic and natural polyelectrolytes. Hydrogen bonding and water structure constitute basic aspects of the medium in which biological reactions occur. Viscosity is a classical tool to determine the shape and size of biological macromolecules. The thermodynamic analysis of multicomponent systems is essential fo the correct understanding of the behavior of biological macromolecules in solution and for the evaluation of results from powerful experimental techniques such as ultracentrifugation, light, X-ray and neutron scattering. The hydration, shape and flexibility of DNA have been studied, as well as structural transitions in nucleosomes and chromatin. A particularly rewarding field of activity is the study of unusual structural features of enzymes isolated from the extreme halophilic bacteria of the Dead Sea, which have adapted to saturated concentrations of salt. Future studies in various laboratories will concentrate on nucleic-acid--protein interactions and on the so-called 'crowding effect', distinguishing the behavior in bacteria, or other cells, from simple test-tube experiments.

Biopolymers↗

A thermodynamic model for the cooperative functional properties of the tetraheme cytochrome c3 from Desulfovibrio gigas.

A thermodynamic model is presented to describe the redox behaviour of the tetraheme cytochrome c3 from Desulfovibrio gigas. This molecule displays different intrinsic redox potentials for the four hemes and during the redox titration process, interactions among different hemes occur, thus altering the values of redox potentials according to which of the hemes are oxidized [Santos, H., Moura, J.J.G., Moura, I., LeGall, J. & Xavier, A.V. (1984) Eur. J. Biochem. 141, 283-296]. This complex cooperative behaviour [Xavier, A.V. (1986) J. Inorg. Biochem. 28, 239-243] has been analyzed here using an I2H4-interaction network [Cornish-Bowden, A. & Koshland, D.E. Jr (1970) J. Biol. Chem. 245, 6241-6250] coupled to a proton-linked equilibrium between two tertiary structures. Such a formalism, which requires a reduced number of parameters, is able to fully account quantitatively for the pH dependence of the NMR redox-titration curves. The 'redox-Bohr' effect is discussed in terms of the available structure and thermodynamic data and a functional mechanism is proposed.

Binding Sites↗

Thermodynamic stability and solution conformation of tandem G.A mismatches in RNA and RNA.DNA hybrid duplexes.

G.A mismatches form a variety of hydrogen-bonded structures in DNA, most of which destabilise the duplex. Tandem G.A mismatches in the context YGAR (Y = pyrimidine, R = purine), however, form base pairs using the amino group of the guanine residue [Li, Y., Zon. G. & Wilson, W.D. (1991) Proc. Natl Acad. Sci. USA 88, 26-30], which permits extensive base-base stacking, leading to a slight stabilisation of the helix [Ebel, S., Lane, A. N. & Brown, T. (1992) Biochemistry 31, 12083-12086]. We have measured the thermodynamic stability of several RNA and RNA.DNA hybrid duplexes containing tandem G.A mismatches. The RNA duplexes are intrinsically much more stable than the corresponding DNA duplexes and the mutations are destabilising in all cases. NOE and coupling-constant data show that all of the sugars are in the C3'-endo range of conformations, and glycosidic torsion angles are in the range -160 degrees to -180 degrees in [sequence: see text]. Both sequential NOE intensities and circular-dichroism measurements indicate that the global conformation of the mismatched RNA is A-like. The N1H group of the mismatched guanine residue is not involved in hydrogen bonding with the adenine residue, indicating the presence of the amino-pairing scheme. Determination of the structure using 'loose' NMR-derived constraints shows that the potential energies of the imino-paired and amino-paired forms are similar, but substantially higher than energy-minimised RNA. Using tighter constraints derived from more extensive analysis of one-dimensional and two-dimensional NOE data showed that the amino-paired structure agrees with the constraint data better than the imino-paired structure, and also accounts for unusual chemical shifts and the lack of hydrogen bonding of the guanine N1H group. Resulting molecular models show that the amino-paired mismatches are not as extensively stacked on the neighbouring part of the duplex as in the B-DNA analogues, largely accounting for the lower thermodynamic stability in the RNA duplexes.

Base Sequence↗

IUPAC-IUBMB Joint Commission on Biochemical Nomenclature (JCBN). Recommendations for nomenclature and tables in biochemical thermodynamics. Recommendations 1994.

Chemical equations are written in terms of specific ionic and elemental species and balance elements and charge, whereas biochemical equations are written in terms of reactants that often consist of species in equilibrium with each other and do not balance elements that are assumed fixed such as hydrogen at constant pH. Both kinds of reaction equations are needed in biochemistry. When the pH and the free concentrations of certain metal ions are specified, the apparent equilibrium constant K' for a biochemical reaction is written in terms of sums of species and can be used to calculate a standard transformed Gibbs energy of reaction deltarG'o. Transformed thermodynamic properties can be calculated directly from conventional thermodynamic properties of species. Calorimetry or the dependence of K' on temperature can be used to obtain the standard transformed enthalpy of reaction deltarH'o. Standard transformed Gibbs energies of formation deltafG'o(i) and standard transformed enthalpies of formation deltafH'o(i) for reactants (sums of species) can be calculated at various T, pH, pMg, and ionic strength (I) if sufficient information about the chemical reactions involved is available. These quantities can also be calculated from measurement if K' for a number of reactions under the desired conditions. Tables can be used to calculate deltafG'o and deltarH'o for many more reactions.

Biochemical Phenomena↗

Xylose-DNA: comparison of the thermodynamic stability of oligo(2'-deoxyxylonucleotide) and oligo(2'-deoxyribonucleotide) duplexes.

Measurements of differential scanning calorimetry, ultraviolet absorption and circular dichroism have been performed on two synthetic oligo(2'-deoxyxylonucleotides): (A) d[xA)3-(xT)3-(xA)3-(xT)3-T] and (B) d[(xA-xT)6-T], and on the oligo(2'-deoxyribonucleotide) (C) d[(A)3-(T)3-(A)3-(T)3]. Oligonucleotides having 2'-deoxyxylose instead of 2'-deoxyribose exhibit unusual thermodynamic, optical and structural features. At identical concentrations the transition temperatures of the oligo(2'-deoxyxylooligomers) are higher than those of the oligo(2'-deoxyribooligomers) indicating higher stability. The calorimetric transition enthalpy of (C) is 270 +/- 15 kJ . mol-1, the corresponding van't Hoff value is 280 +/- 15 kJ . (mol of cooperative unit)-1. The ratio of delta HvH/delta Hcal = 1.04 suggests all-or-none behaviour for the transition of the 2'-deoxyribose oligonucleotide. The analogous parameters of (A) are: delta Hcal = 310 +/- 30 kJ . mol-1, delta HvH = 220 +/- 30 kJ.(mol of cooperative unit)-1. The ratio of 0.71 indicates multistate melting for this compound. The sequence dependence of the thermodynamic quantities becomes apparent when the parameters of the alternating oligo(2'-deoxyxylonucleotide) d[(xA-xT)6-T] are compared to those of d[(xA)3-(xT)3-(xA)3-(xT)3-T). The values are delta Hcal = 330 +/- 30 kJ.mol-1; delta HvH = 180 +/- 15 kJ.(mol of cooperative unit)-1 delta HvH/ delta Hcal = 0.55. The transition enthalpy of the alternating oligo(2'-deoxyxylonucleotide) (B) is the highest but the cooperativity of transition is the lowest of the oligonucleotides studied. The circular dichroic spectra of the two oligo(2'-deoxyxylonucleotides) show unusual features in that d[(xA)3-(xT)3-(XA)3-(xT)3-T] exhibits a spectrum that is suggestive of a left-handed double helix, while the spectrum of the alternating oligo(2'-deoxyxylonucleotide) (B) resembles neither that of (C) nor that of (A).

Base Sequence↗

Theoretical approaches to the evolutionary optimization of glycolysis: thermodynamic and kinetic constraints.

It is analyzed whether the structural design of contemporary glycolysis can be explained theoretically on the basis of optimization principles originating from natural selection during evolution. Particular attention is paid to the problem of how the kinetic and thermodynamic properties of the glycolytic pathway are related to its stoichiometry with respect to the number and location of ATP-coupling sites. The mathematical analysis of a minimal model of unbranched energy-converting pathways shows that the requirement of high ATP-production rate favours a structural design that includes not only ATP-producing reactions (P-sites) but also ATP-consuming reactions (C-sites). It is demonstrated that, at fixed overall thermodynamic properties of a chain, the ATP-production rate may be enhanced by kinetic optimization. The ATP-production rate is increased if the C-sites are concentrated at the beginning and all the P-sites at the end of the pathway. An optimum is attained, which is characterized by numbers of coupling sites corresponding to those found in glycolysis. Various extensions of the minimal model are considered, which allow the effects of internal feedback-regulations, variable enzyme concentrations, and the symmetric branching of glycolysis at the aldolase step to be considered.

Adenosine Triphosphate↗

Information transfer in multienzyme complexes--1. Thermodynamics of conformational constraints and memory effects in the bienzyme glyceraldehyde-3-phosphate-dehydrogenase-phosphoribulokinase complex of Chlamydomonas reinhardtii chloroplasts.

Oxidized phosphoribulokinase is almost inactive in its isolated state but becomes active when associated with glyceraldehyde-3-phosphate dehydrogenase. There is therefore an information transfer that takes place between these two enzymes. However, when the complex dissociates, free oxidized phosphoribulokinase is even more active than when it is associated with glyceraldehyde-3-phosphate dehydrogenase. This means that glyceraldehyde-3-phosphate dehydrogenase exerts an imprinting effect upon phosphoribulokinase which persists for a while after the parting of the two proteins. Various methods derived from statistical thermodynamics can be used to estimate the fraction of energy transferred from glyceraldehyde-3-phosphate dehydrogenase to phosphoribulokinase and which alters the kinetic parameters of the latter enzyme. In the complex, the decrease of the free energy associated with the binding of ribulose 5-phosphate is larger than that of ATP. This implies that the mutual association of the two enzymes facilitates the binding of the former substrate but is without effect on that of the latter. The main effect exerted by the association of the two enzymes is to decrease by about 10 kJ/mol the height of the energy barrier of the catalytic process. Phosphoribulokinase keeps an imprinting effect exerted by glyceraldehyde-3-phosphate dehydrogenase after the parting of the two enzymes. Part of the energy transferred from one protein to the other is used to decrease slightly the apparent binding free energy of the two substrates of phosphoribulokinase by about 1.5 kJ/mol. Whereas the previous association of the two enzymes does not significantly alter substrate binding to phosphoribulokinase, it greatly affects catalysis and decreases by about 16 kJ/mol the height of the energy barrier pertaining to this step. Therefore, within multienzyme complexes, information and energy can be transferred between proteins. Statistical thermodynamics offers the possibility of estimating how this energy is used to alter the various kinetic parameters of the reaction.

Animals↗

Thermodynamics of antagonist binding to rat muscarinic M2 receptors: antimuscarinics of the pridinol, sila-pridinol, diphenidol and sila-diphenidol type.

1. We studied the effect of temperature on the binding to rat heart M2 muscarinic receptors of antagonists related to the carbon/silicon pairs pridinol/sila-pridinol and diphenidol/sila-diphenidol (including three germanium compounds) and six structurally related pairs of enantiomers [(R)- and (S)-procyclidine, (R)- and (S)-trihexyphenidyl, (R)- and (S)-tricyclamol, (R)- and (S)-trihexyphenidyl methiodide, (R)- and (S)-hexahydro-diphenidol and (R)- and (S)-hexbutinol]. Binding affinities were determined in competition experiments using [3H]-N-methyl-scopolamine chloride as radioligand. The reference drugs were scopolamine and N-methyl-scopolamine bromide. 2. The affinity of the antagonists either increased or decreased with temperature. van't Hoff plots were linear in the 278-310 degrees K temperature range. Binding of all antagonists was entropy driven. Enthalpy changes varied from large negative values (down to -29 kJ mol-1) to large positive values (up to +30 kJ mol-1). 3. (R)-configurated drugs had a 10 to 100 fold greater affinity for M2 receptors than the corresponding (S)-enantiomers. Enthalpy and entropy changes of the respective enantiomers were different but no consistent pattern was observed. 4. When silanols (R3SiOH) were compared to carbinols (R3COH), the affinity increase caused by C/Si exchange varied between 3 and 10 fold for achiral drugs but was negligible in the case of chiral drugs. Silanols induced more favourable enthalpy and less favourable entropy changes than the corresponding carbinols when binding. Organogermanium compounds (R4Ge) when compared to their silicon counterparts (R4Si) showed no significant difference in affinity as well as in enthalpy and entropy changes. 5. Exchange of a cyclohexyl by a phenyl moiety was associated with an increase or a decrease in drug affinity (depending on the absolute configuration in the case of chiral drugs) and generally also with a more favourable enthalpy change and a less favourable entropy change of drug binding. 6. Replacement of a pyrrolidino by a piperidino group and increasing the length of the alkylene chain bridging the amino group and the central carbon or silicon atom were associated with either an increase or a decrease of entropy and enthalpy changes of drug binding. However, there was no clear correlation between these structural variations and the thermodynamic effects. 7. Taken together, these results suggest that hydrogen bond-forming OH groups and, to a lesser extent, polarizable phenyl groups contribute significantly to the thermodynamics of interactions between these classes of muscarinic antagonists and M2 muscarinic receptors.

Animals↗