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Thermodynamic compensation process in interacting protein systems: definition of thermodynamic compensatory temperature, (Tc).

In our thermodynamic analysis of the non-linear Van't Hoff expression as applied to several self-associating systems -- specifically in the cases of bovine liver L-glutamate dehydrogenase (GDH), glucagon and S-carboxymethylated apo A-II protein from human high density lipoprotein -- we have examined the interrelationships of a number of thermodynamic temperatures as they affect the association process. We found the principal determinants of the linear thermodynamic compensation process to be delta S0(T)/delta C0p(T) = (delta T'C)/(Texp), where (delta T'C) = Texp). We have defined the unique compensatory temperature, (TC), for any interacting system, at which the contributions of enthalpy and entropy to the association process are balanced.

Animals

Thermodynamic investigations of proteins. III. Thermodynamic description of lysozyme.

Standard functions of enthalpy, entropy and the Gibbs energy of native and denatured lysozyme in the range of 0-100 degrees C and pH 1.5-7.0 are represented in three-dimensional projections. The denaturational Gibbs energy change reaches 16 kcal mol-1 at conditions of maximal protein stability (0 degrees C, pH 4.5-7.0) and equals 14.5 kcal mol-1 at 25 degrees C and neutral pH. This result was found to be in agreement with the data reported from guanidine hydrochloride denaturation studies. Partial thermodynamic functions of the conformational and ionizational changes of the protein are obtained from entropy and Gibbs-energy changes in denaturation. The conformational partial entropy and Gibbs-energy change are found to be independent of pH. The pH-dependent partial ionizational entropy and Gibbs-energy changes are induced by normalization of the ionization behaviour of buried groups and cause a decrease of protein stability.

Binding Sites

Thermodynamics of lipid protein associations. Thermodynamics of helix formation in the association of high density apolipoprotein A-I (apoA-I) to dimyristoyl phosphatidylcholine.

The structure and phospholipid-binding properties of human plasma high density apolipoprotein A-I (apoA-I) has been studied at pH 7.4 and 3.1 by microcalorimetry, circular dichroism and density gradient ultracentrifugation. At pH values of 7.4 and 3.1, apoA-I binds to dimyristoyl phosphatidylcholine (DMPC) to form complexes of similar composition (molar ratio of DMPC/apoA-I of 100) and helical content (67%). At pH 7.4, the lipid-protein association is accompanied by an increase in helical content from 58 to 67% and an exothermic enthalpy of binding (deltaHB) of -90 kcal/mol apoA-I. At pH 3.1, the helical content of apoA-I is increased from 48 to 67% on binding to DMPC and the enthalpy of binding was -170 kcal/mol. We suggest that the difference in the enthalpies of binding (-80 kcal/mol) at pH 3.1 compared to 7.4 is due to the greater coil leads to helix transition at the lower pH.

Apolipoproteins

[Thermodynamics of microbial processes].

The unique description of the dependences of the specific consumption coefficients on the process state known from the literature is an important prerequisite to the further increase of the intensity and efficiency of the process for the industrial protein synthesis. Suitable measuring quantities for it are entropy production, an important quantity of thermodynamics of irreversible processes, and differential heat flow which can be measured by microcalorimetry. The description of the dependences of consumption coefficients by thermodynamics of irreversible processes allows an ingenious statement of calorimetric measurements of the fermentation process to confirm and to make precise the knowledge deduced from thermodynamics. Thermodynamical considerations and calorimetric measurements are used to describe the dependences of consumption coefficients on substrate concentration, nature of limitation, and periodical perturbations of the process.

Aerobiosis

Surface thermodynamics of leukocyte and platelet adhesion to polymer surfaces.

Adhesion of leukocytes and platelets to solid substrates of different surface tensions and hence different wettability is studied from a thermodynamic point of view. A simple thermodynamic model predicts that a cellular adhesion should increase with increasing surface tension of the solid substrate if the surface tension of the medium in which the cells are suspended is lower than the surface tension of the cells. If the surface tension of the suspending medium is higher than that of the cells, the opposite behavior is predicted. These predictions are borne out completely by neutrophil adhesion tests, where the surface tension of the aqueous suspending medium is varied by addition of dimethyl sulfoxide (DMSO). Platelet adhesion experiments also confirm these predictions, the only difference being that surface tensions of the suspending medium above that of the platelets cannot be realized, owing to exudation of surface active solutes from the platelets. Utilization of the thermodynamic prediction that cellular adhesion should become independent of the surface tension of the substrate when the surface tensions of the cells and that of the suspending medium are equal leads to a value of the surface tension of neutrophils of 69.0 erg/cm(2), in excellent agreement with the value obtained from contact angles measured on layers of cells.

Cell Adhesion

Network thermodynamic approach compartmental analysis. Na+ transients in frog skin.

We introduce a general network thermodynamic method for compartmental analysis which uses a compartmental model of sodium flows through frog skin as an illustrative example (Huf and Howell, 1974a). We use network thermodynamics (Mikulecky et al., 1977b) to formulate the problem, and a circuit simulation program (ASTEC 2, SPICE2, or PCAP) for computation. In this way, the compartment concentrations and net fluxes between compartments are readily obtained for a set of experimental conditions involving a square-wave pulse of labeled sodium at the outer surface of the skin. Qualitative features of the influx at the outer surface correlate very well with those observed for the short circuit current under another similar set of conditions by Morel and LeBlanc (1975). In related work, the compartmental model is used as a basis for simulation of the short circuit current and sodium flows simultaneously using a two-port network (Mikulecky et al., 1977a, and Mikulecky et al., A network thermodynamic model for short circuit current transients in frog skin. Manuscript in preparation; Gary-Bobo et al., 1978). The network approach lends itself to computation of classic compartmental problems in a simple manner using circuit simulation programs (Chua and Lin, 1975), and it further extends the compartmental models to more complicated situations involving coupled flows and non-linearities such as concentration dependencies, chemical reaction kinetics, etc.

Animals

Thermodynamics of the interaction of insulin with its receptor.

Insulin binding to its cellular receptors is markedly dependent on the temperature. The thermodynamic parameters for the reaction of insulin with the high affinity state of its receptor have been evaluated with equilibrium studies at multiple temperatures between 5 degrees and 37 degrees C. The thermodynamics of the insulin-receptor interaction is not classical. The van't Hoff plot is not linear. Both the enthalpy and entropy changes, due to the formation of the hormone . receptor complex, decrease markedly with temperature, corresponding to a large heat capacity change of -766 cal/(mol deg) at 25 degrees C. The reaction is endothermic and entropically driven at low temperature and exothermic and enthalpically driven at higher temperature. This thermodynamic behavior is suggestive of a hydrophobic reaction and supports Blundell's concept that the loss of non-polar surface residues in the formation of the hormone . receptor complex is an important driving force of the reaction. Alternatively, this nonclassical behavior may indicate that the reaction of insulin with its receptor involves more than one step.

Cell Line

Controlled drug release from polymeric delivery devices V: Hydroxy group effects on drug release kinetics and thermodynamics.

The effects of progesterone hydroxylation on silicone matrix drug release kinetics and thermodynamics were investigated. Hydroxylation at positions 11, 17, and/or 21 substantially reduced progesterone release. The magnitude of this reduction depended on the number and position of the hydroxy groups and could be attributed to decreased polymer matrix diffusivity (Dm) and polymer solubility (Cp). Thermodynamically, hydroxy group addition to positions 11 and/or 21 reduced the activation energy for matrix diffusion (Ed,m) but increased the solvation energy for dissolution in silicone polymer (delta HT,m)). Adding an hydroxy group to position 17 increased the Ed,m but decreased the delta HT,m. The overall (Ed,m) + delta H(T,m)) values were relatively constant and independent of hydroxylation.

Delayed-Action Preparations

A thermodynamic analysis of the amorphous to crystalline calcium phosphate transformation.

A thermodynamic analysis of the precipitation of amorphous calcium phosphate (ACP) and its transformation to crystalline apatite had been made. A nearly constant ion product, over a wide variety of conditions, was obtained for a tricalcium phosphate (TCP)-like phase suggesting that the molecular unit which governs the solubility of ACP may be similar in composition to TCP. The introduction of 10% acid phosphate into the formula for the TCP ion product improves the fit of experimental data and results in an invariant ion product. The stability of ACP in solution was found to be dependent upon its thermodynamic instability with respect to an octacalcium phosphate (OCP)-like phase. The dependence of the induction period for the amorphous to crystalline transformation upon the pH and the Ca/P ratio of the solution is best explained by the assumption that an OCP-like phase is initially nucleated on the surfaces of the ACP particles. The events that occur in the immediate post-transition period suggest the hydrolysis of this OCP-like material to an apatitic phase.

Apatites

A thermodynamic analysis of the secondary transition in the spontaneous precipitation of calcium phosphate.

A thermodynamic analysis has been made of the secondary transition stage in the spontaneous precipitation of calcium phosphate following the amorphous-crystalline transformation. The first formed crystalline material has a solubility similar to that of octacalcium phosphate (OCP) and the computed thermodynamic solubility product remains invariant in the pH range 7.00--8.60. The duration of the secondary stage is sensitive to pH and the transition appears to occur by hydrolysis of the first formed OCP-like phase to a more basic apatitic phase with a tricalcium phosphate (TCP) stoichiometry. The crystalline material at the end of this transition has an invariant solubility product, in the pH range 7.00 to 8.60, when the TCP-like molecular formula is assumed. Changes in the solution chemistry which accompany the solid-to-solid transitions are consistent with the above conclusions. The results of this study are also consistent with those of a previous study which suggest that the stability of the amorphous calcium phosphate phase is dependent upon the instability of the solution phase with respect to OCP formation.

Calcium

Preparation of cupric palmitate membrane, its characterization and evaluation of thermodynamically effective fixed charge density.

Membrane potentials have been measured across parchment-supported cupric palmitate membrane separating various 1:1 electrolytes at concentrations C1 and C2 such that C2 = 10 C1. Membrane potential data have been used to calculate transference number of ions, permselectivity and also to derive the thermodynamically effective fixed charge density which is an important characteristic governing the membrane phenomena by utilizing the generally accepted and most widely used theory of Teorell-Meyer and Sievers as well as the recent theories for membrane potential of Kobatake et al. and Nagasawa et al. based on the principles of nonequilibrium thermodynamics. The values of charge densities derived from different theories were almost the same, confirming thereby the validity of the recently developed theories of membrane potential.

Electrochemistry

Ubiquinone in Rhodopseudomonas sphaeroides. Some thermodynamic properties.

In Rhodopseudomonas sphaeroides chromatophores there are 25 +/- 3 ubiquinone (Q) molecules/reaction center protein. They comprise several thermodynamically and functionally different ubiquinone complements. There are approx. 19 ubiquinones (Em7 = 90 mV) in the main ubiquinone complement which, within experimental resolution, appears thermodynamically homogenous and follows the redox reaction Q + 2e + 2H+ in equilibrium with QH2 from pH 5--9. A method which takes advantage of the 2H+ bound/molecule of Q reduced is described for measuring the time course of light-activated reaction center-driven reduction and oxidation of the 19 Q complement. No stable semiquinones were detected in the constitutents of the 19 Q complement. There are approx. 6 ubiquinones of lower Em which are currently unaccounted for, although one or possibly two of these can be assigned to the quinones of the reaction center protein. The remainder may be associated with the NADH-ubiquinone oxidoreductase.

Aerobiosis

A non-equilibrium thermodynamics analysis of active transport within the framework of the chemiosotic theory.

The proton circuit devised by Mitchell in the chemiosmotic theory was subjected to analysis using the formalism of irreversible thermodynamics. The phenomenological coefficients and the degree of coupling relating co-permeant flows were derived from anion/H+, substrate/H+, cation/H+ and anion/anion biporter models. Linearity and equality of the cross-coefficients in Onsager relations were always satisfied. Macroscopic flows leading to charges splitting, such as oxido-reduction, hydro-dehydratation and transhydrogenase, are driven by a composite thermodynamic force which includes the proton-motive component. Multiple coupling occurs in the circuit when it is assumed that the net inward flux of protons becomes zero, i.e. when the circulation of protons reaches a stationary state. Under these conditions, oxidative phosphorylation, ATPase- or respiration-linked transhydrogenase and uptake of anion or cation against their electrochemical gradient may be predicted, in agreement with known experimental evidence.

Biological Transport, Active

Computation as a thermodynamic process applied to biological systems.

A physical quantity, 'information,' can be defined and must be included in the second law of thermodynamics. This quantity is different from entropy, though closely related to it. Acquisition and use of information is characteristic of most systems, especially those of biological orgin. Treatment of information as a physical quantity permits many types of machines (in the most general sense) to be understood in respect of a thermodynamic function, and as well an investigation of the extent to which the laws governing information are or may limit their behavior. This limitation is most important at the molecular level, such as in the process of DNA and RNA synthesis. However, it may ultimately have a significant impact on all areas of biology including the theory of evolution, which in light of the concept of information can now be addressed in an important new way.

Computers

Thermodynamic investigations of proteins. I. Standard functions for proteins with lysozyme as an example.

A direct method is proposed for obtaining thermodynamic standard functions for native and denatured proteins using experimental data from scanning calorimetry, isothermal calorimetry and potentiometric titrations. The possibility of this approach is demonstrated on the example of lysozyme in the range of pH 1.5-7.0 and temperature 0-100 degrees C. Tests for the validity of the obtained functions of enthalpy and entropy are presented in the form of cyclic processes using experimental data obtained from thermodynamically different pathways. The Gibbs function is checked by comparison with results of an independent method. The methodic problems in determining and checking standard functions for proteins are discussed in detail.

Calorimetry

A network thermodynamic two-port element to represent the coupled flow of salt and current. Improved alternative for the equivalent circuit.

A two-port for coupled salt and current flow is created by using the network thermodynamic approach in the same manner as that for coupled solute and volume flow (Mikulecky et al., 1977b; Mikulecky, 1977). This electrochemical two-port has distinct advantages over the equivalent circuit representation and overcomes difficulties pointed out by Finkelstein and Mauro (1963). The electrochemical two-port is used to produce a schematic diagram of the coupled flows through a tissue. The network is superimposable on the tissue morphology and preserves the physical qualities of the flows and forces in each part of an organized structure (e.g., an epithelium). The topological properties are manipulated independently from the constitutive (flow-force) relations. The constitutive relations are chosen from a number of alternatives depending on the detail and rigor desired. With the topology and constitutive parameters specified, the steady-state behavior is simulated with a network simulation program. By using capacitance to represent the filling and depletion of compartments, as well as the traditional electrical capacitances, time-dependent behavior is also simulated. Nonlinear effects arising from the integration of equations describing local behavior (e.g., the Nernst-Planck equations) are dealt with explicitly. The network thermodynamic approach provides a simple, straightforward method for representing a system diagrammatically and then simulating the system's behavior from the diagram with a minimum of mathematical manipulation.

Animals

[Quantitative and thermodynamic study of weak A erythrocyte phenotypes].

The analysis of more than 140 "weak A" samples: A3, Ax, Aend, Am, Ay and Ael, support the classical distinction between each subgroup which has been established on serological and genetical data. Accordingly, a valuable classification of these rare phenotypes must take into account, (i) the mode of inheritance, (ii) the agglutination pattern of the RBC by anti-A reagents, (iii) the presence or absence of soluble A substances in the saliva of secretors. The question is then open to know if such related erythrocytic antigens, whose specificity appears to be very similar, could be described on a quantitative basis or on qualitative structural variations. Evidence for quantitative differences was first demonstrated by a gradual decrease in the standard agglutinability of "weak A" RBC with human anti-A (B) sera, from A3 red cells (63 +/- 10%) to Ax (33 +/- 10%), Aend (10 +/- 5%) then Am, Ay and Ael (0%), and secondly by direct measurement of A antigen site densities, the mean values being respectively 35.10(3) A sites/RBC (A3); 4.8 10(3) (Ax); 3.5 10(3) (Aend) and 0.7 10(3) (Am, Ael). Further investigation on A3, Ax and Aend RBC agglutinability lead also to the demonstration of a large heterogeneity in the A antigenic content of red cells inside one individual sample. The most striking result was obtained with Aend phenotypes which appeared like A + O transmitted mosaicisms. However, heterogeneity was also observed, but to a lesser extent, among A3 and Ax RBC. The significance of this heterogeneity is discussed and used to explained the typical picture of agglutinability commonly observed with such red cells and anti-A antibodies. Qualitative difference were also studied by estimation of equilibrium constants (Ko) and thermodynamic parameters (delta Fo, delta Ho and delta So) associated with the binding of rabbit 125I-IgG anti-A molecules onto A RBC determinants. Only small variations of thermodynamic parameters were observed between each subgroup, but the high Ko values (greater than 10(8)M-1) measured, strongly suggest that "weak A" RBC determinants would process a common antigenic structure of the type: alpha-GalNAc (1 leads to 3) [alphaLFuc (1 leads to 2) beta Gal. However, the small differences of reactivity observed from one sample to an other could be related to slight variations in tridimensional configurations of oligosaccharides chains bearing the A specificity, associated with their variable antigenic content.

ABO Blood-Group System

Thermodynamics of the denaturation of lysozyme in alcohol--water mixtures.

The thermal denaturation of lysozyme was studied at pH 2 in aqueous mixtures of methanol, ethanol, and 1-propanol by high sensitivity differential scanning calorimetry (DSC). The most obvious effect of alcohols was the lowering of Td, the temperature of denaturation, increasingly with higher alcohol concentration and longer alkyl chain. Both the calorimetric and van't Hoff enthalpies of denaturation initially increased and then decreased with increasing alcohol concentration, the ratio of the two enthalpies being nearly unity, 1.007 +/- 0.011, indicating the validity of the two-state approximation for the unfolding of lysozyme in these solvent systems. The reversibility of the denaturation was demonstrated by the reversibility of the DSC curves and the complete recovery of enzymic activity on cooling. The changes in heat capacity on unfolding decreased with increasing alcohol concentration for each alcohol. Experimentally determined values of denaturation temperature and of entropy and heat capacity changes were used to derive the additional thermodynamic parameters delta G degrees and delta S degrees for denaturation as a function of temperature for each alcohol--water mixture. Comparison of the thermodynamic parameters with those reported [Pfeil, W., & Privalov, P.L. (1976) Biophys. Chem. 4, 23--50] in aqueous solution at various values of pH and guanidine hydrochloride concentration showed that these latter changes have no effect on the heat capacity changes, whereas the addition of alcohols causes a sharp decrease.

Alcohols