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Thermodynamics of stabilization of RNA pseudoknots by cobalt(III) hexaammine.

Equilibrium unfolding (folding) studies reveal that the autoregulatory RNA pseudoknots derived from the bacteriophage T2 and T4 gene 32 mRNAs exhibit significant stabilization by increasing concentrations of divalent metal ions in solution. In this report, the apparent affinities of exchange inert trivalent Co(NH(3))(3+)(6) have been determined, relative to divalent Mg(2+), for the folded, partially folded (K(f)), and fully unfolded (K(u)) conformations of these molecules. A general nonspecific, delocalized ion binding model was developed and applied to the analysis of the metal ion concentration dependence of individual two-state unfolding transitions. Trivalent Co(NH(3))(3+)(6) was found to associate with the fully folded and partially unfolded pseudoknotted forms of these RNAs with a K(f) of 5-8 x 10(4) M(-1) in a background of 0.10 M K(+), or 3- to 5-fold larger than the K(f) obtained for two model RNA hairpins and hairpin unfolding intermediates, and approximately 40-50-fold larger than K(f) for Mg(2+). The magnitude of K(f) was found to be strongly dependent on the monovalent salt concentration in a manner qualitatively consistent with polyelectrolyte theory, with K(f) reaching 1.2 x 10(5) M(-1) in 50 mM K(+). Two RNA hairpins were found to have affinities for Co(NH(3))(3+)(6) and Ru(NH(3))(3+)(6) of 1-2 x10(4) M(-1), or approximately 15-fold larger than the K(f) of approximately 1000 M(-1) observed for Mg(2+). Additionally, the K(u) of 4,800 M(-1) for the trivalent ligands is approximately 8-fold larger than the K(u) of 600 M(-1) observed for Mg(2+). These findings suggest that the T2 and T4 gene 32 mRNA pseudoknots possess a site(s) for Mg(2+) and Co(NH(3))(3+)(6) binding of significantly higher affinity than a "duplexlike" delocalized ion binding site that is strongly linked to the thermodynamic stability of these molecules. Imino proton perturbation nmr spectroscopy suggests that this site(s) lies near the base of the pseudoknot stem S2, near a patch of high negative electrostatic potential associated with the region where the single loop L1 adenosine crosses the major groove of stem S2.

Base Sequence↗

Thermodynamics of the conformational transition of biopolyelectrolytes: the case of specific affinity of counterions.

A formal development of the Counterion Condensation theory (CC) of linear polyelectrolytes has been performed to include specific (chemical) affinity of condensed counterions, for polyelectrolyte charge density values larger than the critical value of condensation. It has been conventionally assumed that each condensed counterion exhibits an affinity free-energy difference for the polymer, (DeltaG(aff)). Moreover, the model assumes that the enthalpic and entropic contributions to DeltaG(aff), i.e., DeltaH(aff) and DeltaS(aff), are both independent of temperature, ionic strength and polymer concentration. Equations have been derived relative to the case of the thermally induced, ionic strength dependent, conformational transition of a biopolyelectrolyte between two conformations for which chemical affinity is supposed to take place. The experimental data of the intramolecular conformational transition of the ionic polysaccharide kappa-carrageenan in dimethylsulfoxide (DMSO) have been successfully compared with the theoretical predictions. This novel approach provides the enthalpic and entropic affinity values for both conformations, together with the corresponding thermodynamic functions of nonpolyelectrolytic origin pertaining to the biopolymer backbone change per se, i.e., DeltaH(n.pol) and DeltaS(n.pol), according to a treatment previously shown to be successful for lower values of the biopolyelectrolyte linear charge density. The ratio of DeltaH(n.pol) to DeltaS(n.pol) was found to be remarkably constant independent of the value of the dielectric constant of the solvent, from formamide to water to DMSO, pointing to the identity of the underlying conformational process.

Biopolymers↗

Thermodynamic origin of cis/trans isomers of a proline-containing beta-turn model dipeptide in aqueous solution: a combined variable temperature 1H-NMR, two-dimensional 1H,1H gradient enhanced nuclear Overhauser effect spectroscopy (NOESY), one-dimensional steady-state intermolecular 13C,1H NOE, and molecular dynamics study.

The cis/trans conformational equilibrium of the two Ac-Pro isomers of the beta-turn model dipeptide [13C]-Ac-L-Pro-D-Ala-NHMe, 98% 13C enriched at the acetyl carbonyl atom, was investigated by the use of variable temperature gradient enhanced 1H-nmr, two-dimensional (2D) 1H,1H nuclear Overhauser effect spectroscopy (NOESY), 13C,1H one-dimensional steady-state intermolecular NOE, and molecular dynamics calculations. The temperature dependence of the cis/trans Ala(NH) protons are in the region expected for random-coil peptides in H2O (delta delta/delta T = -9.0 and -8.9 ppb for the cis and trans isomers, respectively). The trans NH(CH3) proton indicates smaller temperature dependence (delta delta/delta T approximately -4.8 ppb) than that of the cis isomer (-7.5 ppb). 2D 1H,1H NOESY experiments at 273 K demonstrate significant NOEs between ProH alpha-AlaNH and AlaNH-NH(R) for the trans isomer. The experimental NOE data, coupled with computational analysis, can be interpreted by assuming that the trans isomer most likely adopts an ensemble of folded conformations. The C-CONH(CH3) fragment exhibits significant conformational flexibility; however, a low-energy conformer resembles closely the beta II-turn folded conformations of the x-ray structure of the related model peptide trans-BuCO-L-Pro-Me-D-Ala-NHMe. On the contrary, the cis isomer adopts open conformations. Steady-state intermolecular solute-solvent (H2O) 13C,1H NOE indicates that the water accessibility of the acetyl carbonyl carbons is nearly the same for both isomers. This is consistent with rapid fluctuations of the conformational ensemble and the absence of a highly shielded acetyl oxygen from the bulk solvent. Variable temperature 1H-nmr studies of the cis/trans conformational equilibrium indicate that the trans form is enthalpically favored (delta H degree = -5.14 kJ mole-1) and entropically (delta S degree = -5.47 J.K-1.mole-1) disfavored relative to the cis form. This demonstrates that, in the absence of strongly stabilizing sequence-specific interresidue interactions involving side chains and/or charged terminal groups, the thermodynamic difference of the cis/trans isomers is due to the combined effect of intramolecular and intermolecular (hydration) induced conformational changes.

Alanine↗

Modeling pH effects on microbial growth: a statistical thermodynamic approach.

This paper applies a statistical thermodynamic approach to the kinetics of microbial growth influenced by pH. A general equation is developed and shown to provide a good theoretical basis for the existing pH models that have been widely used to describe the effects of pH on microbial growth kinetics. Four experimental data sets are used to test the general equation developed. The four data sets exhibited a variety of functional curve shapes, for example, symmetrical and asymmetrical bell-shaped, when the specific growth rate of microorganisms is plotted as a function of pH. All four data sets are found to be well represented by the general equation. The existing pH model was, however, found to represent only one out of four data sets, i.e., the symmetrical case.

Bacteria↗

Thermodynamic characterization of affinity maturation: the D1.3 antibody and a higher-affinity mutant.

Understanding the structural and dynamic determinants of binding free energy in the antigen-antibody bond is of great interest. Much work has focused on selective mutations in order to locate key interaction residues, but this generally results in reduced affinity. The present work instead examines a higher-affinity mutant to characterize the thermodynamic pathway of the affinity maturation process. We have compared the antigen binding energetics of scFv D1.3, an anti-hen egg lysozyme single chain antibody, with a higher-affinity mutant (Hawkins, R. E., Russell, S. J., Baier, M. and Winter, G. (1993). J. Mol. Biol. 234, 958-964). The mutant has five-fold higher affinity for lysozyme but nearly the same enthalpy and heat capacity change upon binding, as measured by isothermal titration calorimetry. Thus, much of the binding free energy difference can be attributed to entropic effects. Fluorescence quenching with acrylamide indicates that this more favorable entropy change may result from a more flexible mutant-lysozyme complex and thus be a configurational entropy effect.

Animals↗

Thermodynamic study of forces involved in bovine serum albumin and ovalbumin partitioning in aqueous two-phase systems.

The partitioning of bovine serum albumin and ovalbumin in different two-phase aqueous polymer systems is investigated using a thermodynamic approach. Systems used were polyethylene glycols (PEGs) of molecular weights 1000 to 10,000 Da and Dextran T500 (500,000 Da). Ovalbumin transfer to the top phase is exothermic, which suggests an electrostatic interaction between the hydroxyl groups of PEG and the hydrophilic side chain of the protein, whereas the bovine serum albumin partition is an endothermic process that is entropically driven, which coincides with its high surface hydrophobicity. The effect of PEG molecular weight on enthalpy and heat capacity changes, associated with the partition of both proteins, is examined on the basis of a preferential interaction of low-molecular-weight PEG with the protein surface.

Animals↗

Solvent effect on lipase enantioselectivity. Evidence for the presence of two thermodynamic states.

The enantioselectivity of lipase-catalyzed kinetic resolutions has been measured at various temperatures in binary mixtures of solvents. Varying the solvent composition and temperature had a profound effect on the enantiomeric ratio. The values for delta delta H(R-S)(#) and delta delta S(R-S)(#), calculated from the E values measured at various temperatures, were estimated as a function of the solvent composition. By plotting delta delta H(R-S)(#) versus delta delta S(R-S)(#) as a function of the solvent composition, an extreme was observed. The resulting "hairpin-type" enthalpy-entropy compensation plots can be described by assuming the presence of two thermodynamically distinct physical states, displaying different enantioselectivities, that are in equilibrium with one another. Changing the solvent composition results in a change in the equilibrium constant K(eq) for the two states. The intriguing bell-shaped curves of the enantioselectivity versus solvent composition observed for lipase-catalyzed kinetic resolutions can be described assuming a linear correlation for the logarithm of K(eq) and the solvent composition. Thus, a simulation of the two-state model adequately describes the solvent effects found for lipase-catalyzed kinetic resolutions in binary mixtures of solvents and possibly in series of homologous organic solvents.

Biotechnology↗

Mutational analysis of the kinetics and thermodynamics of transcription factor NF-kappaB homodimerisation.

Dimeric transcription factors of the NF-kappaB/Rel family are sequence-specific DNA-binding proteins that mediate the inducible expression of immunologically important eukaryotic genes by competing for kappaB sites. The kinetic and thermodynamic components of these interactions were probed by mutation of the subunit interface of the p50 homodimer, a paradigm for other family members. Guided by the crystal structure, we selected the side chains of five key residues (R255, Y270, L272, A311 and V313) for individual and combinatorial truncation, with the aim of generating a mutant panel. Homodimerisation was assessed indirectly by measurement of DNA binding with an optical biosensor in order to unmask the relative contributions of each residue. Surface plasmon resonance revealed that a unanimous bias for a palindromic kappaB site over an asymmetric one was mainly the result of a slower dissociation rate for the DNA/homodimer complex in the case of the palindromic kappaB site. Y270 and L272 were individually the most critical residues in homodimerisation. DNA binding was abolished when all five residues were substituted, which reinforces the notion that only a subset of residues contributes crucial dimer-forming contacts. The role of Y270 was unique, since its mutation to glycine dramatically slowed both the association and dissociation rates for DNA binding. Surprisingly, R255 was shown to be of little importance in the stability of the p50 homodimer, despite its apparent participation in a salt bridge at the dimer interface. Our results suggest that binding modes inferred from structural data should be treated cautiously.

Amino Acid Sequence↗

Non equilibrium thermodynamics and the city: a new approach to urban studies.

A city can be conceived as a complex self-adaptive system. The multiple interactions among its structural elements and dynamic agents, its organization on multiple time-space scales, its exchanges with the external context, its irreversible dynamics, are signs of complexity. Some concepts from the evolutionary thermodynamics, such us the theory of dissipative structures, could be extended to the city in order to investigate its behaviour. This theoretical framework suggests to analyze the city in terms of entropy and negentropy production. An emergy analysis (spelled with an "m") of an urban region is presented in order to investigate how cities maintain their organization (and decrease their entropy) by virtue of constant energy inflows from the external environment. As a result, a non-homogeneous spatial pattern of emergy density is shown as an attempt to investigate the multiple relations and energy exchanges that take place in an urban region. This approach to urban studies introduces a new energy-based vision to understand cities.

Cities↗

Thermodynamic determination of beta-hexosaminidase isoenzymes in mononuclear and polymorphonuclear leukocyte populations.

Isoenzymes of beta-hexosaminidase (Hex) were determined in mononuclear (MN) and polymorphonuclear (PMN) leukocytes, with a thermodynamic method using the chromogenic substrate sodio-3,3'-dichlorophenolsulfonphthaleinyl N-acetyl-beta-D-glucosaminide. Imprecision was very satisfactory, and the results are very much in agreement with those obtained using the fluorogenic substrates 4-methylumbelliferyl N-acetyl-beta-D-glucosaminide and 4-methylumbelliferyl N-acetyl-beta-D-glucosaminide 6-sulfate. In 163 healthy individuals we found, for the proportion as a percentage of the Hex A isoenzyme, significantly higher values (P < 0.001) in PMN than in MN cells (71.56 +/- 0.30% vs. 54.28 +/- 0.24%), meaning that it would not appear advisable to use total leukocyte lysates for evaluating this variable. The method is fast, precise, and highly suitable for the biochemical diagnosis and heterozygote screening of GM2 gangliosidoses, and would be applicable in cases of thermolabile Hex B and for detecting the B1 variant.

Adolescent↗

Use of affinity capillary electrophoresis for characterizing pharmaceutical colloidal vehicle systems thermodynamically.

This review offers a detailed discussion of the interaction between pharmaceutical compounds and vehicles using the affinity capillary electrophoresis and the microemulsion electrokinetic chromatography. Partition coefficients of drugs were calculated between a micelle and an aqueous phases from the measurement of the migration time, provided the critical micelle concentration and the phase ratio are known. Thermodynamic quantities such as enthalpy and entropy changes of micellar solubilization were calculated from the temperature dependence of the partition coefficients. Partial specific volumes were measured using dynamic light scattering. The logarithm of the partition coefficients and the capacity factor in the micellar system were correlated with the logarithm of the n-octanol/water partition coefficients.

Colloids↗

Inclusion complexes of nabumetone with beta-cyclodextrins: thermodynamics and molecular modelling studies. Influence of sodium perchlorate.

Fluorescence, (1)H-NMR and molecular mechanics have been used to study the inclusion complexes of nabumetone (4,6-methoxy-2-naphthyl-butan-2-one; NAB) with beta-cyclodextrin (beta-CD), randomly methylated-beta (M beta-CD) and hydroxypropyl-beta-cyclodextrins (HP beta-CD). The emission spectrum of NAB shows a maximum whose fluorescence intensity increases with the different beta-CDs growing concentrations. This phenomenon allows calculation of the stability constants at 15, 25, 37 and 45 degrees C. The thermodynamic parameters Delta H degrees and Delta S degrees for the inclusion process were obtained from the temperature dependence of the stability constants. Molecular mechanics calculations, together with proton NMR measurements, for the complex with beta-CD prove that the complex can be formed by penetration through any of the rims, with the naphthalene nucleus included and the substituents outside the cavity. The influence of NaClO(4) in the aforementioned complexes has been analysed by spectrofluorimetric measurements. It has been found that the stability constants for the complexes decrease with the salt concentration; the causes are discussed.

Anti-Inflammatory Agents, Non-Steroidal↗

Antimetabolite incorporation into DNA: structural and thermodynamic basis for anticancer activity.

Antimetabolites are a class of effective anticancer drugs that structurally resemble naturally occurring biochemicals and interfere in essential biochemical processes. In this review, the recent literature describing investigations of the structural and thermodynamic basis for the anticancer activity of three antipyrimidines [1-beta-D-arabinofuranosyl cytidine (AraC). 2',2'-difluoro deoxycytidine (dFdC), and 5-fluoro-2'-deoxyuridine (FdUrd)] is summarized. Our laboratory, and others, have shown that misincorporation of any of these three antipyrimidines into DNA perturbs the structure and decreases the stability of duplex DNA. These data are useful for rationalizing the effects of antipyrimidine misincorporation on the activities of proteins required for DNA replication and repair such as DNA topoisomerase 1 and DNA polymerases. The studies completed to date and summarized in this review demonstrate the utility of investigations into the structure-function relationships between antipyrimidine-substituted DNA complexed with DNA-modifying proteins for the purpose of understanding the basis for effective antipyrimidine cancer chemotherapy and the future design of novel anticancer drugs.

Antimetabolites, Antineoplastic↗

Free energy calculations for theophylline binding to an RNA aptamer: Comparison of MM-PBSA and thermodynamic integration methods.

We have applied the molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) method (J. Srinivasan, T. E. Cheatham, P. Cieplak, P. A. Kollman, and D. A. Case, Journal of the American Chemical Society, 1998, Vol. 120, pp. 9401-9409) to study the interaction of an RNA aptamer with theophylline and its analogs. The MM-PBSA free energy analysis provides a reasonable absolute binding free energy for the RNA aptamer-theophylline complex formation. Energetic analysis reveals that the van der Waals interaction and the nonpolar contribution to solvation provide the basis for the favorable absolute free energy of complex. This trend is similar to other protein-ligand interactions studied previously. The MM-PBSA method also ranks the relative binding energies of five theophylline analogs approximately correctly, but not as well as the more conventional thermodynamic integration calculations, which were carried out to convert theophylline into its analogs. The comparison of MM-PBSA with TI suggests that the MM-PBSA method has some difficulties with the first-solvation-shell energetics.

Binding Sites↗

Thermodynamical properties of simple models of protein-like heteropolymers.

The lattice approximation of a heteropolymer chain as a model of a single polypeptide was used in the computer simulation. The residues of a model polypeptide were represented by the chain of alpha-carbons located on a very flexible [310] lattice. The force field that mimic the intramolecular interactions contained the long-range contact potential between the residues and the local preferences in forming helical structures. The chain consisted of two types of residues that had different hydrophobicity. The simulations were performed by means of the Replica Exchange Monte Carlo method combined with the Histogram method. The series of simulations were carried out to investigate the influence of both components of the force field on the transition temperature and the characteristics of the coil-to-globule transition. The properties of low-temperature ordered structures were determined. The thermodynamical description of the model chain was also given. The phase transition was found to be sharp and cooperative for longer chains and strong helical potential. The collapsed globule contained the strongly hydrophobic residues inside the globule while the remaining residues were mainly located close to the globule surface.

Asparagine↗

A thermodynamic study on the interaction between magnesium ion and human growth hormone.

A thermodynamic study on the interaction between magnesium ion and human growth hormone (hGH) was studied at 27 degrees C in NaCl solution (50 mM) using different techniques. Two techniques of ionmetry using a Mg2+selective membrane electrode and isothermal titration calorimetry were applied to obtain the binding isotherm for hGHMg2+; results obtained by both techniques were found to be in good agreement. There is a set of three identical and noninteracting binding sites for magnesium ions. The intrinsic dissociation equilibrium constant and the molar enthalpy of binding are 46 microM and -17.7 kJ/mol, respectively. Temperature scanning UV-visible spectroscopy was applied to elucidate the effect of Mg2+ binding on the protein stability, and circular dichroism (CD) spectroscopy was used to show the structural change of hGH due to the metal ion interaction. Magnesium ion binding increased the protein thermal stability by increasing the alpha-helix content as well as decreasing both beta and random coil structures. However, the secondary structural change of the protein returns to its native form, including a small change in the tertiary structure, in high concentrations of magnesium ion.

Calorimetry↗

Solvation thermodynamics of biopolymers. I. Separation of the volume and surface interactions with estimates for proteins.

The present paper is a systematic first approach to the problem of solvation thermodynamics of biomolecules. Most previous approaches have been only crude estimates of solvent contributions, and have simply assessed solvation free energy as proportional to surface areas. Here we estimate the various contributions and divide them into (a) hard-core interactions dependent upon the entire volume of solute and (b) the remainder of interactions manifested through surfaces, such as van der Waals, charge-charge, or hydrogen bonds. We have estimated the work to create a cavity with scaled-particle theory (SPT), the van der Waals interactions on the surface, and hydrogen bonds between the surface and the solvent. The conclusion here is that this latter term is the largest component of the solvation free energy of proteins. From estimates on nine diverse proteins, it is clear that the larger the protein, the more dominant is the hydrogen-bond term. In the next paper, we indicate that correlations between hydrogen-bonding groups on the surfaces could increase the magnitude of the hydrogen-bond contribution.

Mathematics↗

Long-range structural effects in supercoiled DNA: statistical thermodynamics reveals a correlation between calculated cooperative melting and contextual influence on cruciform extrusion.

We have previously described [K. M. Sullivan and D. M. J. Lilley (1986) Cell 47, 817-827] a set of sequences, called C-type inducing sequences, which cause cruciform extrusion by adjacent inverted repeats to occur by an abnormal kinetic pathway involving a large denatured region of DNA. In this paper we apply statistical thermodynamic DNA helix melting theory to these sequences. We find a marked correlation between the ability of sequences to confer C-type cruciform character experimentally and their calculated propensity to undergo cooperative melting, and no exceptions have been found. The correlations are both qualitative and quantitative. Thus the ColE1 flanking sequences behave as single melting units, while the DNA of the S-type plasmid pIRbke8 exhibits no propensity to melt in the region of the bke cruciform. The results of the calculations are also fully consistent with the following experimental observations: 1. the ability of the isolated colL and colR fragments of the ColE1 flanking sequences, as well as the short sequence col30, to confer C-type character; 2. C-type induction by an A + T rich Drosophila sequence; 3. low-temperature cruciform extrusion by an (AT)34 sequence; 4. the effect of changing sequences at a site 90 base pairs (bp) removed from the inverted repeat; 5. the effects of systematic deletion of the colL sequence; and 6. the effects of insertion of various sequences in between the colL sequence and the xke inverted repeat. These studies show that telestability effects on thermal denaturation as predicted from equilibrium helix melting theory of linear DNA molecules may explain all the features that are revealed by studying the extrusion of cruciforms in circular DNA molecules subjected to superhelical stress.

Base Composition↗