Lamellar/inverted cubic (L alpha/QII) phase transition in N-methylated dioleoylphosphatidylethanolamine

Inverted cubic (QII) phases form in hydrated N-methylated dioleoylphosphatidylethanolamine (DOPE-Me). Previous work indicated that QII phases in this and other systems might be metastable structures. Whether or not QII phases are stable has important implications for models of the factors determining the relative stability of bilayer and nonbilayer phases and of the mechanisms of transitions between those phases. Here, using X-ray diffraction and very slow scan rate differential scanning calorimetry (DSC), we show that thermodynamically stable QII phases form slowly during incubation of multilamellar samples of DOPE-Me at constant temperature. The equilibrium L alpha/QII phase transition temperature is 62.2 +/- 1 degree C. The transition enthalpy is 174 +/- 34 cal/mol, about two-thirds of the L alpha/HII transition enthalpy observed at faster scan rates. This implies that the curvature free energy of lipids in QII phases is substantially lower than in L alpha phases and that this reduction is substantial compared to the reduction achieved in the HII phase. The L alpha/QII transition is slow and is not reliably detected with DSC until the temperature scan rate is reduced to ca. 1 degrees C/h. At faster scan rates, the HII phase forms at a reproducible temperature of 66 degrees C. This HII phase is metastable until ca. 72-79 degrees C, where the equilibrium QII/HII transition seems to occur. These results, as well as the induction of QII phases in similar systems by temperature cycling (observed by others), are consistent with a theory of L alpha/QII/HII transition mechanisms proposed earlier (Siegel, 1986c).     

Kinetics of the pectin methylesterase catalyzed de-esterification of pectin in frozen food model systems

The pectin methylesterase (PME) catalyzed de-esterification of pectin was studied in four frozen food model systems based on sucrose, fructose, maltodextrin, and carboxymethylcellulose (CMC) in a temperature range from -24 to 20 degrees C, with the aim of elucidating the applicability of the theory of "food polymer science" on the kinetics. The rate substantially decreased around the glass transition temperature in the case of CMC, while very low rates were observed far above the glass transition temperature in the case of maltodextrin, fructose, and sucrose model systems. In general, the kinetics of this reaction was found to be influenced more by factors such as the characteristics of the component solutes, freeze concentration, the possible viscosity enhancement due to a particular combination of solutes, and the molecular size of the substrate molecule rather than the glass transition process. The Arrhenius equation described the temperature dependence of kinetics both in the liquid state of all the systems studied (r(2) > or = 0.97) and the glassy state of CMC (r(2) = 0.95). A clear break in the Arrhenius plot was observed as the temperature decreased to subfreezing temperatures. The Arrhenius equation could describe the kinetics reasonably well in the rubbery state for fructose and sucrose model systems (r(2) > 0.992). In the case of maltodextrin and CMC, the Arrhenius plots showed a slight curvature followed by a break at the glass transition temperature for CMC. The WLF equation with system-dependent coefficients better described the kinetics in the rubbery state of the CMC and part of the maltodextrin system. A linear relationship between the logarithm of the rate and T - Tg' described the kinetics in the sucrose as well as fructose model systems (r(2) = 0.9928 and 0.993, respectively).     

A solid-solution theory of anesthetic interaction with lipid membranes: temperature span of the main phase transition

Anesthetics (or any other small additives) depress the temperature of the main phase transition of phospholipid bilayers. Certain anesthetics widen the temperature span of the transition, whereas others do not. The widening in a first-order phase transition is intriguing. In this report, the effects of additive molecules on the temperature and its span were explained by the solid-solution theory. By assuming coexistence of the liquid-crystal and solid-gel phases of lipid membranes at phase transition, the phase boundary is determined from the distribution of anesthetic molecules between the liquid-crystal membrane versus water and between the solid-gel membrane versus water. The theory shows that when the lipid concentration is large or when the lipid solubility of the drug is large, the width of the transition temperature increases, and vice versa. Highly lipid-soluble molecules, such as long-chain alkanols and volatile anesthetics, increase the width of the transition temperature when the lipid:water ratio is large, whereas highly water-soluble molecules, such as methanol and ethanol, do not. The aqueous phase serves as the reservoir for anesthetics. Depletion of the additive molecules from the aqueous phase is the cause of the widening. When the reservoir capacity is large, the temperature width does not increase. The theory also predicts asymmetry of the specific heat profile at the transition.     

Sequential polypeptides: 5. Statistical mechanical analysis of helix-coil transition in sequential polypeptides

A statistical mechanical theory of the helix-coil transition in sequential polypeptides is developed assuming that the statistical weights of the Zimm-Bragg parameters of a given residue depend on the type of adjacent residues. In the case of a sequential polypeptide consisting of two kinds of residues, the theory describes the helix- coil transition of the polypeptide in terms of the Zimm-Bragg parameters associated with the corresponding residues. The theory is then used to determine this parameter, as a function of temperature, from experimental data for transition temperature as a function of solvent composition, for a series of sequential polypeptides consisting of Glu(OBzl) and Lys(Chz) residues in mixtures of dichloroacetic acid and 1,2-dichlorethane. This parameter is then combined with the Zimm-Bragg parameters for the parent homopolypeptides, and the theory used to predict helix coil transition curves which are in good agreement with the experimental ones for the sequential polypeptides studied.     

Conformational changes of polypeptides in intense electric fields

Employing a simple “all or none” statistical theory, a calculation is given of the phase diagram in electric field–temperature space for the helix–coil transition of a polypeptide with nonpolar residues but charged end groups. The principal results are (i) the transition field extrapolated to absolute zero is on the order of millions of volts per centimeter, (ii) the normal transition temperature of large molecules is predicted to be significantly affected by fields as low as 30,000 V/cm, and (iii) for temperatures just above the helix-coil transition temperature, the application of a field to a large molecule causes an initial transition to the helix state and with a further isothermal increase of field the coil state returns. The theory is extended to the case of the unfolding of a globular protein in an electric field. The fields are somewhat lower than those for the helix-coil transition and are always single-valued at a given temperature. Lastly the effect of including the presence of charged residues is shown to decrease the estimated critical fields but keep them of the same order of magnitude as those given for the case of nonpolar residues.     

Mesoscopic biochemical basis of isogenetic inheritance and canalization: stochasticity, nonlinearity, and emergent landscape

Biochemical reaction systems in mesoscopic volume, under sustained environmental chemical gradient(s), can have multiple stochastic attractors. Two distinct mechanisms are known for their origins: (a) Stochastic single-molecule events, such as gene expression, with slow gene on-off dynamics; and (b) nonlinear networks with feedbacks. These two mechanisms yield different volume dependence for the sojourn time of an attractor. As in the classic Arrhenius theory for temperature dependent transition rates, a landscape perspective provides a natural framework for the system's behavior. However, due to the nonequilibrium nature of the open chemical systems, the landscape, and the attractors it represents, are all themselves emergent properties of complex, mesoscopic dynamics. In terms of the landscape, we show a generalization of Kramers' approach is possible to provide a rate theory. The emergence of attractors is a form of self-organization in the mesoscopic system; stochastic attractors in biochemical systems such as gene regulation and cellular signaling are naturally inheritable via cell division. Delbrück-Gillespie's mesoscopic reaction system theory, therefore, provides a biochemical basis for spontaneous isogenetic switching and canalization.     

Complexity and Transition Management

This article presents a framework, transition management, for managing complex societal systems. The principal contribution of this article is to articulate the relationship between transition management and complex systems theory. A better understanding of the dynamics of complex, adaptive systems provides insight into the opportunities, limitations, and conditions under which it is possible to influence such systems. Transition management is based on key notions of complex systems theory, such as variation and selection, emergence, coevolution, and self-organization. It involves a cyclical process of phases at various scale levels: stimulating niche development at the micro level, finding new attractors at the macro level by developing a sustainability vision, creating diversity by setting out experiments, and selecting successful experiments that can be scaled up.     

Definition of the rheological glass transition temperature in association with the concept of iso-free-volume

Small deformation dynamic oscillation was used to develop an index of physical significance for the rationalisation of the mechanical properties of high co-solute/biopolymer systems during vitrification. The index is based on the combined framework of Williams–Landel–Ferry equation with the free volume theory and is called the ‘rheological glass transition temperature, T_g’ thus differentiating it from the empirical calorimetric T_g used in thermal analysis. The rheological T_g is located at the conjunction of two distinct molecular processes, namely: free-volume effects in the glass transition region and the predictions of the reaction-rate theory in the glassy state. The method of reduced variables was used to shift the mechanical spectra of shear moduli to composite curves. The temperature dependence of shift factors for all materials was identical provided that they were normalised at suitably different reference temperatures, which reflect iso-free-volume states. The treatment makes free volume the overriding parameter governing the mechanical relaxation times during vitrification of high co-solute/biopolymer systems regardless of physicochemical characteristics. We believe that potential applications resulting from this fundamental work are numerous for the food and pharmaceutical industries.     

Is it always possible to distinguish two- and three-state systems by evaluating the van't Hoff enthalpy?

Many small globular proteins are traditionally classified as thermodynamical two-state systems, i.e., the protein is either in the native, active state (folded) or in the denatured state (unfolded). We challenge this view and show that there may exist (protein) systems for which a van't Hoff analysis of experimental data cannot determine whether the system corresponds to two or three thermodynamical states when only temperatures in a narrow temperature region around the transition are considered. We generalize a widely employed two-state protein folding model to include a third, transition state. For this three-state system we systematically study the deviation of the calorimetric enthalpy (heat of transition) from the van't Hoff enthalpy, a measure of the two-stateness of a transition. We show that under certain conditions the heat capacity of the three-state system can be almost indistinguishable from the heat capacity for the two-state system over a broad temperature interval. The consequence may be that some three-state (or even more than three-states) systems have been misinterpreted as two-state systems when the conclusion is drawn solely upon the van't Hoff enthalpy. These findings are important not only for proteins, but also for the interpretation of thermodynamical systems in general.     

Effects of thermal denaturation on the solid-state structure and molecular mobility of glycinin

The effects of moisture and thermal denaturation on the solid-state structure and molecular mobility of soy glycinin powder were investigated using multiple techniques that probe over a range of length and time scales. In native glycinin, increased moisture resulted in a decrease in both the glass transition temperature and the denaturation temperature. The sensitivity of the glass transition temperature to moisture is shown to follow the Gordon-Taylor equation, while the sensitivity of the denaturation temperature to moisture is modeled using Flory's melting point depression theory. While denaturation resulted in a loss of long-range order, the principal conformational structures as detected by infrared are maintained. The temperature range over which the glass to rubber transition occurred was extended on the high temperature side, leading to an increase in the midpoint glass transition temperature and suggesting that the amorphous regions of the newly disordered protein are less mobile. (13)C NMR results supported this hypothesis.     

Light scattering measurement and Avrami analysis of the lamellar to inverse hexagonal phase transition kinetics of the lipid DEPE

The lamellar to inverse hexagonal phase transition of lipids is much studied as a model for understanding cellular processes such as membrane fusion and pore formation. Much remains unknown, including a theoretical understanding and a definitive value of the phase transition temperature for DEPE, as literature values vary over 10°C. Avrami theory has been commonly used to analyze phase transition kinetics. However, to the best of our knowledge, Avrami theory has not been used to analyze the lamellar to inverse hexagonal transition in lipids until now. We used laser light scattering to measure phase transition temperature of the lipid DEPE (1,2-dielaidoyl-sn-phosphatidylethanolamine) and found it to be 61.0 ± 0.5°C. We found the hysteresis, |T(measured)-T(equilibrium)|, scaled as r(β), where r is the ramp rate and β=0.29 ± 0.02. This is the same power law behavior found by others for an isomer of DEPE known as DOPE (1,2-dioleoyl-sn-glycero-3 ethanolamine); however, DEPE exhibits roughly half the hysteresis of DOPE. An analysis of DEPE kinetics yields Avrami exponents ranging from 1 to 7, suggesting the transition propagates one dimensionally and is initiated by a widely varying nucleation rate.     

Effect of sugar-phosphate mixtures on the stability of DPPC membranes in dehydrated systems

The stabilizing role of sugars on dehydrated membranes is well established. The formation of a glassy matrix and the direct interaction between the sugars and the lipids are some of the mechanisms proposed to be involved in this stabilizing effect. Phospholipidic systems have been studied extensively as models for biological membranes and also due to the practical applications of liposomes as vehicles for drug delivery. In this work, we evaluate the effect of sugar-phosphate mixtures on the transition temperature of dehydrated 1,2-dipalmitoylphosphatidylcholine, and also examine some physical characteristics of these mixtures, such as the glass transition temperature and water sorption properties. The addition of phosphate salts to sugar systems has several interesting features that merit its consideration in formulations to protect dehydrated labile biomaterials. In particular, sucrose-phosphate mixtures provide an interesting alternative to pure saccharide formulations due to their high glass transition temperatures and their increased ability to maintain a low melting transition temperature in the presence of small amounts of water.     

Computer Simulation of Liquid Crystal Films

Abstract

We present the results of extensive Monte Carlo simulations of liquid crystal films of various thicknesses. A simple nearest-neighbour lattice model, the Lebwohl-Lasher model, is employed, with periodic boundaries in two directions and free, planar, surfaces in the third. Particular attention is devoted to locating the temperature of the order-disorder (nematic-isotropic) phase transition. Weak first-order behaviour apparently persists in systems as thin as 8 layers across, but below this the transition cannot be detected. The shift of the transition temperature from its bulk value approaches the expected asymptotic linear dependence on inverse thickness, but significant deviations from this are seen for films of 10 layers thickness and less. These results enable an accurate estimate to be made of the bulk phase transition temperature in the thermodynamic limit, and the result is consistent with that extrapolated from systems with full periodic boundaries.     

Thermodynamics of a diffusional protein folding reaction

The folding reactions of several proteins are well described as diffusional barrier crossing processes, which suggests that they should be analyzed by Kramers' rate theory rather than by transition state theory. For the cold shock protein Bc-Csp from Bacillus caldolyticus, we measured stability and folding kinetics, as well as solvent viscosity as a function of temperature and denaturant concentration. Our analysis indicates that diffusional folding reactions can be treated by transition state theory, provided that the temperature and denaturant dependence of the solvent viscosity is properly accounted for, either at the level of the measured rate constants or of the calculated activation parameters. After viscosity correction the activation barriers for folding become less enthalpic and more entropic. The transition from an enthalpic to an entropic folding barrier with increasing temperature is, however, apparent in the data before and after this correction. It is a consequence of the negative activation heat capacity of refolding, which is independent of solvent viscosity. Bc-Csp and its mesophilic homolog Bs-CspB from Bacillus subtilis differ strongly in stability but show identical enthalpic and entropic barriers to refolding. The increased stability of Bc-Csp originates from additional enthalpic interactions that are established after passage through the activated state. As a consequence, the activation enthalpy of unfolding is increased relative to Bs-CspB.     

Thermodynamics of cuticular transpiration

Water conservation is a significant physiological problem for many insects, particularly as temperature increases. Early experimental work supported the concept of a transition temperature, above which water-loss rates increase rapidly as temperature increases. The transition phenomenon was hypothesized to result from melting of epicuticular lipids, the main barrier to cuticular transpiration. This explanation has been challenged on theoretical grounds, leading to thermodynamic analyses of cuticular transpiration based on reaction rate theory. These studies have not directly addressed the mechanistic basis of the transition temperature. Models developed in the context of cell membrane transport provide potential explanations that can be tested experimentally. These models include changes in the activation entropy for diffusion through the cuticular lipids, increased solubility of water in melted lipids, and lateral heterogeneity of the cuticle.     

The influence of protein-lipid interactions on the order-disorder conformational transitions of the hydrocarbon chain.

The phases of simple systems involving one type of protein (lysozyme or cytochrome c) and one type of lipid (phosphatidic acid) have been characterized by X-ray crystallography, chemical analysis and spin-labeling technique as a function of temperature. They are of the lamellar type with alternative protein monolayers and lipid bilayers. According to the pH, two types of lamellar phases are obtained, one where the lipid-protein interactions are mainly hydrophobic, the other where they are electrostatic. In both cases, a phase transition occurs as temperature is lowered, between a high temperature phase, where all the lipids are in the liquid-like state, and another phase where some lipid chains are rigid. In the case of the phases with electrostatic interaction, it is shown that the onset of the order-disorder transition is shifted towards low temperature as compared with the homologous lipid-water phase and that the protein content of the phase decreases as the ratio of the liquid to rigid hydrocarbon chains decreases. This leads us to suggest that in the systems studied in this work the proteins interact only with lipid in the liquid-like state. In the case of the phases with hydrophobic interaction, it is shown that the extent of hydrophobic interaction between protein and lipid increases as the unsaturation of the hydrocarbon chains increases. The onset of the order-disorder transition shows a greater shift towards low temperature than the one observed in the case of the phase with electrostatic interaction.     

Fundamental considerations in the effect of molecular weight on the glass transition of the gelatin/cosolute system

Four molecular fractions of gelatin produced by alkaline hydrolysis of collagen were investigated in the presence of cosolute to record the mechanical properties of the glass transition in high-solid preparations. Dynamic oscillatory and stress relaxation moduli in shear were recorded from 40°C to temperatures as low as -60°C. The small-deformation behavior of these linear polymers was separated by the method of reduced variables into a basic function of time alone and a basic function of temperature alone. The former allowed the reduction of isothermal runs into a master curve covering 17 orders of magnitude in the time domain. The latter follows the passage from the rubbery plateau through the glass transition region to the glassy state seen in the variation of shift factor, a(T) , as a function of temperature. The mechanical glass transition temperature (T(g) ) is pinpointed at the operational threshold of the free volume theory and the predictions of the reaction rate theory. Additional insights into molecular dynamics are obtained via the coupling model of cooperativity, which introduces the concept of coupling constant or interaction strength of local segmental motions that govern structural relaxation at the vicinity of T(g) . The molecular weight of the four gelatin fractions appears to have a profound effect on the transition temperature or coupling constant of vitrified matrices, as does the protein chemistry in relation to that of amorphous synthetic polymers or gelling polysaccharides.     

Mathematical analysis of multienzyme systems. II. Steady state and transient control.

The control theory of steady states, previously presented for linear enzymatic systems (Heinrich and Rapoport, 1974) is extended to nonlinear systems. On the basis of three theorems a new procedure for the calculation of the control strength and of the control matrix is developed. The theory is applied to the extended model of glycolysis of erythrocytes, which includes also ATP-consuming processes. Also in this model the glycolytic flux is mainly controlled by the hexokinase-phosphofructokinase-system. The control strengths of the pyruvate kinase and of the enzymes of the 2.3 P2G-bypass are negligibly small. The control strength of the ATPase is negative, i.e. an activation of this enzyme leads to a decrease of the flux. For transition states of multienzyme systems definitions are given for the mean time required for the transition of the metabolites and for the "transient control" of enzymes. Enzymes with a pronounced influence on the transition time are called time-limiting enzymes. Enzymes which excert strong control on the time-dependent processes may have little influence under steady state conditions and vice versa. The transition times of ATP have been calculated for transient states of glycolysis.