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PubMed1990

Thermodynamics of Ca2+ transport through sarcoplasmic reticulum membranes during the transient-state of simulated reactions.

The kinetics of a chemical model of Ca2+ transport and coupled ATPase activity in sarcoplasmic reticulum membranes were solved for the transient-state of simulated reactions, using a numerical integration procedure. The simulation conditions reproduced in vitro experiments using either fragmented membranes or vesicles with Ca2+ accumulating ability. The results yielded the concentrations of all the ligands and intermediates of the enzymatic cycle as a function of the reaction time. These results were applied to calculations of several thermodynamic variables: (1) the step by step profile of the standard free energy change of the cycle. (2) The step by profile of the actual free energy change of the cycle, and its evolution with the reaction time. (3) The separate contributions of ATP hydrolysis and Ca2+ transport to the overall free energy change with the reaction. (4) The dependence of the velocity of the free energy change with the reaction time. (5) The efficiency of the transport system, and its change with the reaction time. (6) The separate contributions of the Ca2+ gradient and some enzymatic intermediates as free energy stores. The main findings are: (1) the step by step diagrams of the free energy change calculated from the results of the kinetic analysis better describe the thermodynamic profile of the cycle than previously reported diagrams of the standard free energy and basic free energy changes. The relative contribution of each partial step to the driving force of the whole reactions, as well as their changes upon the advancement of the reactions, are derived from the diagrams. (2) Free energy yielded by ATP hydrolysis is stored by the system, not only as a Ca2+ gradient, but also as enzymatic intermediates of the reaction. The progressive increase of both free energy pools upon the advancement of the reaction is quantitated.

Animals↗
PubMed1989

Thermodynamics, mechanical and electrical properties of biomembranes.

A set of thermodynamic fundamental equations has been derived, including chemical potentials of immobile components of a biomembrane. The results obtained are compatible with those known in the theory of shells, but the approach developed is more general. The influence of an outer electric field on the isotropic tension of a biomembrane has been discussed. The thermodynamic relations derived are used for the treatment of intracellular pressure changes recently observed by Terakawa (1985, J. Physiol. 369, 229) in the squid giant axon at potential variations.

Action Potentials↗
PubMed2004

Thermodynamic properties of several soil- and sediment-derived natural organic materials.

Improved understanding of the structure of soil- and sediment-derived organic matter is critical to elucidating the mechanisms that control the reactivity and transport of contaminants in the environment. This work focuses on an experimental investigation of thermodynamic properties that are a function of the macromolecular structure of natural organic matter (NOM). A suite of thermal analysis instruments were employed to quantify glass transition temperatures (Tg), constant-pressure specific heat capacities (Cp), and thermal expansion coefficients (alpha) of several International Humic Substances Society (IHSS) soil-, sediment-, and aquatic-derived NOMs. Thermal mechanical analysis (TMA) of selected NOMs identified Tgs between 36 and 72 degrees C, and alphas ranging from 11 mum/m degrees C below the Tg to 242 mum/m degrees C above the Tg. Standard differential scanning calorimetry (DSC) and temperature-modulated differential scanning calorimetry (TMDSC) measurements provided additional evidence of glass transition behavior, including identification of multiple transition behavior in two aquatic samples. TMDSC also provided quantitative measures of Cp at 0 and 25 degrees C, ranging from 1.27 to 1.44 J/g degrees C. Results from TMA, DSC, and TMDSC analyses are consistent with glass transition theories for organic macromolecules, and the glass transition behavior of other NOM materials reported in previous studies. Discussion of the importance of quantifying these thermodynamic properties is presented in terms of improved physical and chemical characterization of NOM structures, and in terms of providing constraints to molecular simulation models of NOM structures.

Differential Thermal Analysis↗
PubMed2000

Prediction for thermodynamic function of dioxins for gas phase using semi-empirical molecular orbital method with PM3 Hamiltonian.

In this investigation, respective thermodynamic parameters of heats of formation, standard entropy and specific heat capacity at constant pressure for PCDDs, PCDFs, Co-PCB and PCBs as well as polychlorinated-benzenes and polychlorinated-phenols have been evaluated by quantum chemical calculation using a semi-empirical molecular orbital method with the PM3 Hamiltonian and statistical thermodynamic correlation.

Benzofurans↗
PubMed2005

Thermodynamics Of alpha-Helix Formation.

The alpha-helix was the first proposed and experimentally confirmed secondary structure. The elegant simplicity of the alpha-helical structure, stabilized by hydrogen bonding between the backbone carbonyl oxygen and the peptide amide four residues away, has captivated the scientific community. In proteins, alpha-helices are also stabilized by the so-called capping interactions that occur at both the C- and the N-termini of the helix. This chapter provides a brief historical overview of the thermodynamic studies of the energetics of helix formation, and reviews recent progress in our understanding of the thermodynamics of helix formation.

Amino Acid Sequence↗
PubMed2006

Kinetics and thermodynamics of amyloid assembly using a high-performance liquid chromatography-based sedimentation assay.

Nonnative protein aggregation has been classically treated as an amorphous process occurring by colloidal coagulation kinetics and proceeding to an essentially irreversible endpoint often ascribed to a chaotic tangle of unfolded chains. However, some nonnative aggregates, particularly amyloid fibrils, exhibit ordered structures that appear to assemble according to ordered mechanisms. Some of these fibrils, as illustrated here with the Alzheimer's plaque peptide amyloid beta, assemble to an endpoint that is a dynamic equilibrium between monomers and fibrils exhibiting a characteristic equilibrium constant with an associated free energy of formation. Some fibrils, as illustrated here with the polyglutamine repeat sequences associated with Huntington's disease, assemble via highly regular mechanisms exhibiting nucleated growth polymerization kinetics. Here, we describe a series of linked methods for quantitative analysis of such aggregation kinetics and thermodynamics, focusing on a robust high-performance liquid chromatography (HPLC)-based sedimentation assay. An integrated group of protocols is provided for peptide disaggregation, setting up the HPLC sedimentation assay, the preparation of fibril seed stocks and determination of the average functional molecular weight of the fibrils, elongation and nucleation kinetics analysis, and the determination of the critical concentration describing the thermodynamic endpoint of fibril elongation.

Amyloid↗
PubMed2002

On the dissection of the unfolding reaction by the dissolution thermodynamics of N-alkyl amides.

Dissection of the unfolding thermodynamics based on small molecule dissolution led to controversial interpretations. It is proposed here that uncertainty about water transfer processes to be used in first approximation analyses of protein stability may be removed (i) separating liquid-dissolution-like effects from solid-like packing contributions; (ii) taking into account both peptide and side chain dissolution; and (iii) analysing the water-dependent part of the denaturation reaction by the dissolution thermodynamics of liquid N-alkyl amides. Based on these criteria, this paper analyses the entropy of the aqueous transfer of liquid N-alkyl amides filling a gap in a recent model of the unfolding energetics, which was limited to the enthalpy. Both enthalpic and entropic changes accompanying the liquid-dissolution-like immersion of internal amino acid residues in water during unfolding may be unambiguously described within this context. Although the model developed does not deepen our knowledge of protein unfolding, it may be of help in the analysis of whether liquid-dissolution-like effects or solid-like packing contributions play the major role in determining protein stability at elevated temperatures.

Amides↗
PubMedDate not supplied

Thermodynamic stability of bovine alpha-crystallin in its interactions with other bovine crystallins.

Light scattering measurements were performed on dilute solutions of alpha-crystallin mixed with different combinations of beta H, beta L and gamma-fractions of bovine lens crystallins. Light scattering intensities were obtained as a function of scattering angle, concentration and temperature. The temperature dependence of the second virial coefficients was used to obtain partial molar enthalpy and end entropy of solutions. The difference between the thermodynamic parameters of the crystallin mixtures and those of the weighted averages of the individual components yielded the excess enthalpy and entropy functions of the solutions. Both the excess enthalpy and entropy functions indicated that thermodynamic stability of alpha-crystallin is progressively enhanced by its interactions with gamma [symbol: see text] (beta H + gamma) [symbol: see text] (beta H + beta L + gamma) crystallins. The last two combinations showed negative values both for excess enthalpy as well for excess entropy of solutions. Other combinations demonstrated increasing positive values. This implies that the combination of all four crystallins in the vertebrate lens enables the best solvation property as well as the best packing as opposed to any other single or combinatorial arrangements of crystallins. Similar conclusions have been obtained in the past from water and other vapor sorption studies.

Animals↗
PubMed1998

Thermodynamic and kinetic characterization of calf lens gammaF-crystallin.

Gamma-crystallin is reported to be conformationally stable because of its internal structural symmetry, and gammaF (gammaIVa) is the most stable among the various gamma-crystallin gene products. However, there is no detailed report on its thermodynamic and kinetic stability. In the present study, detailed unfolding of gammaF-crystallin was investigated by equilibrium and kinetics methods with fluorescence and far-UV CD spectroscopic measurements. The GdnHCl-induced unfolding curves probed by Trp emission maximum and intensity showed a sharp single-step transition. Upon widening the unfolding transition with the use of urea in 1.5 M GdnHCl, a more proper fit for thermodynamic analysis was obtained. GammaF-Crystallin underwent a straightforward two-state process (N <==> U) without showing any measurable amount of intermediate. The conformational stability, as measured by deltaG(D)H2O (approximately 9 kcal/mol), indicates that gammaF-crystallin is a very stable protein. The high activation energy deltaG++H2O (approximately 24 kcal/mol), calculated from unfolding kinetics monitored by far-UV CD at 218 nm, also indicates that the native and unfolded states are separated by a high activation energy barrier.

Animals↗
PubMed2003

Thermodynamic and kinetic aspects of antibody evolution during the immune response to hapten.

We determined thermodynamic and kinetic parameters for the antigen-antibody interaction using a group of anti-(4-hydroxy-3-nitrophenyl)acetyl monoclonal antibodies whose differences in amino acid sequences had arisen only from somatic hypermutation. These monoclonal antibodies were considered to have originated from a common ancestor clone and to represent progression along the affinity maturation pathway. The kinetic measurements showed that both association and dissociation rate constants of the antigen-antibody interaction decreased during maturation. Thermodynamic measurements revealed that an increase in affinity was obtained by an increase in entropy without any significant change in enthalpy. These results suggested that the mechanism for the antigen-antibody interaction shifted from a "zipper" type to a "lock-and-key" type during antibody evolution.

Amino Acid Sequence↗
PubMed2000

L-Glutamate dehydrogenase from the antarctic fish Chaenocephalus aceratus. Primary structure, function and thermodynamic characterisation: relationship with cold adaptation.

In order to study the molecular mechanisms of enzyme cold adaptation, direct amino acid sequence, catalytic features, thermal stability and thermodynamics of the reaction and of heat inactivation of L-glutamate dehydrogenase (GDH) from the liver of the Antarctic fish Chaenocephalus aceratus (suborder Notothenioidei, family Channichthyidae) were investigated. The enzyme shows dual coenzyme specificity, is inhibited by GTP and the forward reaction is activated by ADP and ATP. The complete primary structure of C. aceratus GDH has been established; it is the first amino acid sequence of a fish GDH to be described. In comparison with homologous mesophilic enzymes, the amino acid substitutions suggest a less compact molecular structure with a reduced number of salt bridges. Functional characterisation indicates efficient compensation of Q(10), achieved by increased k(cat) and modulation of S(0.5), which produce a catalytic efficiency at low temperature very similar to that of bovine GDH at its physiological temperature. The structural and functional characteristics are indicative of a high extent of protein flexibility. This property seems to find correspondence in the heat inactivation of Antarctic and bovine enzymes, which are inactivated at very similar temperature, but with different thermodynamics.

Acclimatization↗
PubMed2000

A thermodynamical study of the clockwork hypothesis proposed by E. Schrödinger.

In the present study, the 'clockwork' hypothesis proposed by Schrödinger was examined from the viewpoint of thermodynamics. Firstly, noticing a unidirectional transfer of entropy in a heat engine, the logic was briefly explained about a close relation between this entropy transfer and an irreversible cycle performed by a working body. Next, paying attention to two fundamental differences between a heat engine and a biological system, we considered an isolated system Asigma consisting of three one-component systems (Ai, A, Ao) and noted a case that the same molecules as the component ones flowed quasistatically into Ai from the outside. Then, the unidirectional flows of the molecules, energy and entropy, which were induced by the above inflow in Asigma, were formulated on the basis of the equilibrium thermodynamics for an open system. Furthermore, it was clarified that the fundamental equation for these flows is the Schrödinger inequality and that the necessary-sufficient condition for this inequality is the existence of an irreversible cycle performed by A. Here A corresponds to a working body in a heat engine. It was, thus, concluded that the 'clockwork' hypothesis by Schrödinger is considered to be reasonable for a biological system composed of various irreversible subsystems.

Algorithms↗
PubMed2001

Thermodynamic and computational studies of DNA triple helices containing a nucleotide or a non-nucleotide linker in the third strand.

In this paper we report a thermodynamic characterisation of stability and melting behaviour of four different triple helices at pH 6.0. The target duplex consists of 16 base pairs in alternate sequence of the type 5'-(purine)(m)(pyrimidine)(m)-3'. The four triplexes are formed by targeting the 16-mer duplex with an all pyrimidine 16-mer or 15-mer or 14-mer third strand. The 16-mer oligonucleotide contains a 3'-3' phosphodiester junction and corresponding triplex was named 16-mer P. The 14-mer oligonucleotide contains a non-nucleotide linker, the 1,2,3 propanetriol residue and the corresponding triplex was named 14-mer PT. For the 15-mer oligonucleotide both junctions were alternatively used and the relative triplexes were named 15-mer P and 15-mer PT, respectively. These linkers introduce the appropriate polarity inversion and let the third strand switch from one oligopurine strand of the duplex to the other. Thermal denaturation profiles indicate the initial loss of the third strand followed by the dissociation of the target duplex. Transition enthalpies, entropies and free energies were derived from differential scanning calorimetric measurements. The comparison of Gibbs energies reveals that a more stable triplex is obtained when in the third strand there is the lack of one nucleotide in the junction region and a propanetriol residue as linker was used. The thermodynamic data were discussed in light of molecular mechanics and dynamics calculations.

Calorimetry, Differential Scanning↗
PubMed2001

Thermodynamics of the hydrophobic effect. II. Calorimetric measurement of enthalpy, entropy, and heat capacity of aggregation of alkylamines and long aliphatic chains.

The thermodynamics of long aliphatic chain alkylamine aggregation in aqueous solution was studied by isothermal titration calorimetry (ITC). Protonated alkylammonium cations with linear aliphatic chains of 10-14 carbon atoms were fully soluble in aqueous solution at the beginning of titration, but practically insoluble after deprotonation by titrating with sodium hydroxide. The alkylamines aggregated and precipitated during the reaction, enabling direct measurement of the enthalpy of aggregation. The enthalpy of aggregation became increasingly exothermic upon increasing the chain length. Hydrophobic aggregation was enthalpy-driven and entropy-opposed for alkylamines with 12-14 carbon atoms at room temperature. Direct observation of hydrophobic aggregation by ITC at constant temperature and pressure provided more accurate thermodynamic parameters than obtainable from van't Hoff analysis. Aggregation into liquid or solid phases could be distinguished by ITC, but not by van't Hoff analysis of alkylamine solubility data.

Alkanes↗
PubMed2001

Analysis of thermodynamic non-ideality in terms of protein solvation.

The effects of thermodynamic non-ideality on the forms of sedimentation equilibrium distributions for several isoelectric proteins have been analysed on the statistical-mechanical basis of excluded volume to obtain an estimate of the extent of protein solvation. Values of the effective solvation parameter delta are reported for ellipsoidal as well as spherical models of the proteins, taken to be rigid, impenetrable macromolecular structures. The dependence of the effective solvated radius upon protein molecular mass exhibits reasonable agreement with the relationship calculated for a model in which the unsolvated protein molecule is surrounded by a 0.52-nm solvation shell. Although the observation that this shell thickness corresponds to a double layer of water molecules may be of questionable relevance to mechanistic interpretation of protein hydration, it augurs well for the assignment of magnitudes to the second virial coefficients of putative complexes in the quantitative characterization of protein-protein interactions under conditions where effects of thermodynamic non-ideality cannot justifiably be neglected.

Animals↗
PubMed2002

Thermodynamics of the coil-alpha-helix transition of amphipathic peptides in a membrane environment: the role of vesicle curvature.

The binding of peptides or proteins to a bilayer membrane is often coupled with a random coil-->alpha-helix transition. Knowledge of the energetics of this membrane-induced folding event is essential for the understanding of the mechanism of membrane activity. In a recent study [Wieprecht et al., J. Mol. Biol. 294 (1999) 785-794], we have developed an approach which allows an analysis of the energetics of membrane-induced folding. We have systematically varied the helix content of the amphipathic peptide magainin-2-amide by synthesizing analogs where two adjacent amino acid residues were substituted by their corresponding D-enantiomers and have measured their binding to small unilamellar vesicles (SUVs). Correlation of the binding parameters with the helicities allowed the evaluation of the thermodynamic parameters of helix formation. Since SUVs (30 nm in diameter) are characterized by a non-ideal lipid packing due to their high membrane curvature, we have now extended our studies to large unilamellar vesicles (LUVs) (100 nm in diameter) with a lipid packing close to planar membranes. While the free energy of binding was similar for SUVs and LUVs, the binding enthalpies and entropies were distinctly different for the two membrane systems. The thermodynamic parameters of the coil-helix transition were nevertheless not affected by the vesicle size. Helix formation at the membrane surface of LUVs (SUVs) was characterized by an enthalpy change of -0.8 (-0.7) kcal/mol per residue, an entropy change of-2.3 (-1.9) cal/mol K per residue, and a free energy change of -0.12 (-0.14) kcal/mol per residue. Helix formation accounted for approximately 50% of the free energy of binding underlining its major role as a driving force for membrane-binding.

Animals↗
PubMed2003

The role of water in the thermodynamics of dilute aqueous solutions.

Water plays a role in the thermodynamics of dilute aqueous solutions that is unusual in two ways. First, knowledge of hydration equilibrium constants of species is not required in calculations of thermodynamic properties of biochemical reactants and reactions at specified pH. Second, since solvent provides an essentially infinite source of oxygen atoms in a reaction system where water is a reactant, oxygen atoms are not conserved in the reaction system in dilute aqueous solutions. This is related to the fact that H(2)O is omitted in equilibrium expressions for dilute aqueous solutions. Calculations of the standard transformed Gibbs energies of formation of total carbon dioxide and total ammonia at specified pH are discussed, and the average bindings of hydrogen ions by these reactants are calculated by differentiation. Since both of these reactants are involved in the urease reaction, the apparent equilibrium constants and changes in the numbers of hydrogen ions bound are calculated for this reaction as functions of pH.

Algorithms↗
PubMed2003

Thermodynamic non-ideality as an alternative source of the effect of sucrose on the thrombin-catalyzed hydrolysis of peptide p-nitroanilide substrates.

The inhibitory effect of sucrose on the kinetics of thrombin-catalyzed hydrolysis of the chromogenic substrate S-2238 (D-phenylalanyl-pipecolyl-arginoyl-p-nitroanilide) is re-examined as a possible consequence of thermodynamic non-ideality-an inhibition originally attributed to the increased viscosity of reaction mixtures. However, those published results may also be rationalized in terms of the suppression of a substrate-induced isomerization of thrombin to a slightly more expanded (or more asymmetric) transition state prior to the irreversible kinetic steps that lead to substrate hydrolysis. This reinterpretation of the kinetic results solely in terms of molecular crowding does not signify the lack of an effect of viscosity on any reaction step(s) subject to diffusion control. Instead, it highlights the need for development of analytical procedures that can accommodate the concomitant operation of thermodynamic non-ideality and viscosity effects.

Catalysis↗