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van der Waals phase transition in protein solutions.

The van der Waals equation of state for imperfect gases is applied to solutions of macromolecules, especially to explain the fluid-fluid phase transition in protein solutions, a phenomenon of much interest in relation to protein crystallization. The van der Waals b parameter corresponds to the total excluded volume per pair of molecules and can be calculated from independently known molecular properties. It is comprised of terms resulting from hard-sphere and net charge-charge interactions. The experimentally determined second virial coefficient B2 can then be used to obtain the equilibrium constant for dimerization K2, a phenomenologically accessible measure of the van der Waals a parameter. Sedimentation equilibrium is recommended as the technique for measuring B2 most accurately. More general results are used to make a minor quantitative correction to the van der Waals prediction concerning the criterion for the fluid-fluid phase transition. Calculations of the effect of inert co-solutes on the phase transition may prove useful in choosing crystallization conditions.

Models, Molecular↗

Phase transitions of phospholipid single-wall vesicles and multilayers. Measurement by vibrational Raman spectroscopic frequency differences.

Raman spectroscopic frequency differences between selected carbon-carbon stretching modes of lipid hydrocarbon chains were determined as a function of temperature for use in monitoring lipid phase transition behavior and acyl chain disorder in both multilamellar and single-wall vesicles. Transition temperatures detected by this procedure for pure dipalmitoyl phosphatidylcholine and dimyristoyl phosphatidylcholine multilayers were observed at 39 +/- 1 degrees C and 23 +/- 1 degrees C, respectively. Although the phase transition for unilamellar vesicles of dipalmitoyl phosphatidylcholine occurred at nearly the same temperature as the multilayers, the crystal-liquid crystalline transition for the single-shell vesicles appeared to span a slightly broader temperature range, a characteristic consistent with irregularities in the packing arrangement of the hydrocarbon chains. Within the precision of the Raman spectroscopic method, however, the temperature behavior of both the multilamellar and the unilamellar dimyristoyl phosphatidylcholine assemblies appeared nearly identical. The temperature profile for the Raman frequency differences of an excess water sonicate of 25 mol percent cholesterol in dipalmitoyl phosphatidylcholine served as an example of the effect upon lipid phase transition characteristics of a bilayer component intercalated between the acyl chains. For this particular cholesterol-lipid system the phase transition was broadened over a 30 degrees C temperature range, in contrast to the marrow 2-4 degrees C range observed for pure multilayer and single-shell vesicle particles.

Binding Sites↗

Re-entrant volume phase transition of hydrogel membrane of microcapsule.

Re-entrant volume phase transition of hydrogel wall membrane of microcapsules (MC) was first observed using MC suspensions consisting of poly (L-lysine-alt-terephthalic acid) wall and aqueous inner and outer solutions with different pHs. To analyze the dynamics of the re-entrant phase transition, we extended the theory for the swelling and the shrinking dynamics of the microcapsule gel [T. Narita, T. Yamamoto, D. Suzuki, T. Dobashi, Langmuir 19 (2004) 4051]. In the theory, the microcapsule size and the force constant for the driving force which gives rise to the size relaxation were chosen as the thermodynamic variables. The time course of the cross-sectional area of the microcapsules fitted well to the theoretical equations, and the time constants determined as the fitting parameters were discussed in terms of the force constant relaxation and the size relaxation.

Hydrogels↗

Phase transitions in liposomes formed from the polar lipids of mitochondria from chilling-sensitive plants.

The thermal response of mitochondrial polar lipids from a variety of chilling-sensitive and chilling-insensitive plants was determined by differential scanning calorimetry. A phase transition was observed at 15 degrees C for mitochondria from soybeam (Glycine max. cv Davis) hypocotyl, at 16 degrees C for tomato (Lycopersicon esculentum cv Flora-Dade and cv Grosse Lisse) fruit, at 15 degrees C for cucumber (Cucumus sativus L.) fruit, at 14 degrees C for mung bean (Vigna radiata var Berken) hypocotyl, and at 15 degrees C for sweet potato (Ipomea batatas L.) roots. The transition temperature was not significantly altered by the scan rate and was reversible. Changes in the temperature coefficient of motion for a spin label, intercalated with the polar lipids, occurred at a temperature slightly below that of the phase transition, indicating that the polar lipids phase separate below the transition. No phase transition was observed for mitochondrial polar lipids from barley (Hordeum vulgare) roots, wheat (Triticum aestivum L. cv Falcon) roots, and Jerusalem artichoke (Helianthus tuberosus L.) tubers. The results show that a phase change occurs in the membrane lipids of mitochondria a few degrees above the temperature below which chilling injury is evident in the sensitive species. Thus they are consistent with the hypothesis that sensitivity to chilling injury is related to a temperature-induced alteration in the structure of cell membranes.

Journal Article↗

Polarised vibrational spectra of betaine ortho-phosphoric acid complex. Part II. Phase transitions studies.

Polarised infrared transmission and Raman spectra of betaine ortho-phosphoric acid crystal in temperature ranges 13-393 and 13-300 K, respectively are reported and discussed in relation to phase transitions: antiferrodistortive at T(c1) = 365 K and antiferroelectric at T(c3) = 81 K. The spectra are consistent with unit cell doubling below T(c3). The participation of all hydrogen bonds apparent in the crystal in the antiferroelectric phase transition was shown. Quite large freedom of -N(CH(3))(3) groups reorientation in the antiferroelectric phase was detected. No changes were found in the transmission spectra taken in the vicinity of the antiferrodistortive phase transition temperature.

Betaine↗

Phase transitions in self-gravitating systems: self-gravitating fermions and hard-sphere models.

We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of self-gravitating fermions and hard-sphere models. Depending on the values of the parameters, three kinds of phase transitions (of zero, first, and second order) are evidenced. They separate a "gaseous" phase with a smoothly varying distribution of matter from a "condensed" phase with a core-halo structure. We propose a simple analytical model to describe these phase transitions. We determine the value of energy (in the microcanonical ensemble) and temperature (in the canonical ensemble) at the transition point and we study their dependence on the degeneracy parameter (for fermions) or on the size of the particles (for a hard-sphere gas). Scaling laws are obtained analytically in the asymptotic limit of a small short distance cutoff. Our analytical model captures the essential physics of the problem and compares remarkably well with the full numerical solutions. We also stress some analogies with the liquid-gas transition and with the Blume-Emery-Griffiths model with infinite range interactions. In particular, our system presents two tricritical points at which the transition passes from first order to second order.

Journal Article↗

Phase transition and landscape statistics of the number partitioning problem.

The phase transition in the number partitioning problem (NPP), i.e., the transition from a region in the space of control parameters in which almost all instances have many solutions to a region in which almost all instances have no solution, is investigated by examining the energy landscape of this classic optimization problem. This is achieved by coding the information about the minimum energy paths connecting pairs of minima into a tree structure, termed a barrier tree, the leaves and internal nodes of which represent, respectively, the minima and the lowest energy saddles connecting those minima. Here we apply several measures of shape (balance and symmetry) as well as of branch lengths (barrier heights) to the barrier trees that result from the landscape of the NPP, aiming at identifying traces of the easy-hard transition. We find that it is not possible to tell the easy regime from the hard one by visual inspection of the trees or by measuring the barrier heights. Only the difficulty measure, given by the maximum value of the ratio between the barrier height and the energy surplus of local minima, succeeded in detecting traces of the phase transition in the tree. In addition, we show that the barrier trees associated with the NPP are very similar to random trees, contrasting dramatically with trees associated with the p spin-glass and random energy models. We also examine critically a recent conjecture on the equivalence between the NPP and a truncated random energy model.

Journal Article↗

Characterization of superparamagnetic "core-shell" nanoparticles and monitoring their anisotropic phase transition to ferromagnetic "solid solution" nanoalloys.

The structure, magnetism, and phase transition of core-shell type CoPt nanoparticles en route to solid solution alloy nanostructures are systematically investigated. The characterization of Co(core)Pt(shell) nanoparticles obtained by a "redox transmetalation" process by transmission electron microscopy (TEM) and, in particular, X-ray absorption spectroscopy (XAS) provides clear evidence for the existence of a core-shell type bimetallic interfacial structure. Nanoscale phase transitions of the Co(core)Pt(shell) structures toward c-axis compressed face-centered tetragonal (fct) solid solution alloy CoPt nanoparticles are monitored at various stages of a thermally induced annealing process and the obtained fct nanoalloys show a large enhancement of their magnetic properties with ferromagnetism. The relationship between the nanostructures and their magnetic properties is in part elucidated through the use of XAS as a critical analytical tool.

Journal Article↗

Effects of flunitrazepam on the Lalpha-H(II) phase transition of phosphatidylethanolamine using merocyanine 540 as a fluorescent indicator.

Previous studies of our group demonstrated that flunitrazepam is a lipophilic drug capable of interacting with membranes through a partition equilibrium phenomenon. Its localization at the phospholipid polar head region could explain the decrease in the size of dipalmitoylphosphatidylcholine (dpPC) vesicles, through a mechanism that involves the increment in the relative volume of this region with a subsequent increase in the vesicle's surface curvature. In the present work, we investigated if flunitrazepam can affect the L(alpha)-H(II) phase transition of phosphatidylethanolamine through a similar mechanism. This study was approached by using merocyanine 540, a dye sensitive to the molecular packing of membrane lipids. A detailed analysis of merocyanine absorption and fluorescence emission and excitation spectra was performed. The results indicated that the fluorescence emitted came mainly from the monomeric form of merocyanine and that it resulted a good indicator of this phase transition, as was previously described. Flunitrazepam did not affect significantly the onset of the phase transition but showed a tendency to diminish the dye fluorescence emission intensity, which could involve a lower partition of merocyanine in the vesicles. Moreover, the results suggest that this drug produced a delay in the completeness of the phase transition and a decrement in the cooperativity of this phenomenon.

Dimerization↗

Mechanistic interpretation of the influence of lipid phase transitions on transport functions.

In an attempt to understand the mechanism by which a structural change of membrane lipids affects transport functions, the temperature dependence of transport rate has been measured to below the low temperature end of the fluid in equilibrium ordered phase transition of the membrane lipids. The unsaturated fatty acid requiring Escherichia coli strain T105 was supplemented with either trans-delta9-octadecenoate or trans-delta9-hexadecenoate or supplemented with and subsequently starved for cis-delta9-octadecenoate. Fluid in equilibrium ordered phase transitions measured in whole cells using the fluorescence probe N-phenyl-1-naphthylamine were compared with the temperature dependence of beta-glucoside and beta-galactoside transport. In addition to the previously observed downward "break" in the Arrhenius plot of transport rate which occurred near the middle of the phase transition temperature range, a second upward "break" was observed which could be correlated with the low-temperature end of the phase transition. These experiments are interpreted in terms of a partitioning of transport proteins between ordered and fluid domains which is described by a lateral distribution coefficient, k. This distribution coefficient varies with the membrane lipid composition as well as with the transport system. Values for k suggest a 2-20-fold preference for the partitioning of transport proteins into the fluid parts of the membrane.

Biological Transport↗

General view of a liquid-liquid phase transition

We present a general view of a liquid-liquid phase transition, based on a simple physical picture that there is "cooperative medium-range bond ordering" for any liquids. Contrary to the common belief, we argue that liquid is not homogeneous and in any liquid there exist locally favored structures, which are frustrated with normal-liquid structures. The cooperative excitation of locally favored structures leads to a gas-liquid-like critical point of bond ordering. This picture naturally leads to the conclusion that liquid-liquid transition is not specific to special materials, but can in principle exist in any liquids. Our model suggests a new possibility that (i) even an ordinary molecular liquid can have a hidden liquid-liquid phase transition and (ii) it may be the origin of a second amorphous phase (e.g., "glacial phase") and critical-like, large-scale fluctuations ("Fischer clusters") observed in supercooled molecular liquids.

Journal Article↗

Interaction of liposome with immobilized chitosan during main phase transition.

It has been recently demonstrated that chitosan in aqueous solution alters the phase behavior and structure of a phospholipid bilayer (Fang, N.; et al. Biomacromolecules 2001, 2, 1161-1168). Until now, the physical driving forces between chitosan and the phospholipid bilayer upon their initial encounter remains unknown. In this study, confocal reflectance interference contrast microscopy (C-RICM), phase contrast microscopy and bioadhesion modeling are concurrently applied to probe the interaction of phospholipid vesicle with immobilized chitosan at various temperatures, pH, and osmotic stress. First, the successful immobilization of chitosan on amino-silanized glass is indicated by the increases in both the degree of vesicle deformation and adhesion energy of vesicles adhering on chitosan modified substrate in comparison with those on amino-silanized glass. Second, the phase transition of a phospholipid bilayer does not modulate the adhesion strength at the chitosan-biomembrane interface at pH 7.4. With increase of the degree of protonation on the chitsoan backbone at pH 4, the adhesion energy is increased by 5-fold for vesicles of all sizes compared to that in pH 7.4. Furthermore, pH reduction amplifies the thermal-induced response of larger vesicles on the immobilized chitosan layer. Interestingly, a moderate increase of osmotic stress maximizes the degree of vesicle deformation and adhesion energy at 23 degrees C and dampens the effect of phase transition on vesicle adhesion. Overall, this study demonstrates the quantitation of chitosan-biomembrane interactions that will be critical for future applications of chitosan in biological systems.

Chitin↗

Effects of anesthetic tetradecenols on phosphatidylcholine phase transitions. Implications for the mechanism of the bilayer pretransition.

The effects of cis- and trans-9,10-tetradecenols on the phase transitions of dimyristoyl-, dipalmitoyl-, and distearoyl-phosphatidylcholines were investigated using high sensitivity scanning calorimetry and Raman spectroscopy. Both alcohols lowered the gel to liquid crystalline phase transition temperatures for all three phosphatidylcholines, with cis-tetradecenol showing a considerably greater effect than trans-tetradecenol in each case. While both alcohols increased the temperature of the dimyristoylphosphatidylcholine pretransition, and decreased the temperature of the distearoylphosphatidylcholine pretransition, cis-tetradecenol lowered the temperature of the dipalmitoylphosphatidylcholine pretransition, while trans-tetradecenol dramatically raised the pretransition temperature. These results are interpreted in terms of the reduction in gel (L beta) phase chain tilt and changes in the ease of acyl chain trans-gauche isomerization which are introduced by the alcohols, and the consequent effects of these changes on the pretransition and the gel to liquid crystalline phase transition. The data clearly show that caution is necessary in applying information on lipid-anesthetic interactions obtained from model membranes to the problem of clinical anesthesia, since qualitatively different results may be obtained when lipids of differing acyl chain lengths are employed. Superficial interpretation of such data might lead to erroneous conclusions.

1,2-Dipalmitoylphosphatidylcholine↗

Roles of hydrophobic interaction in a volume phase transition of alkylacrylamide gel induced by the hydrogen-bond-driving alkylphenol binding.

It was found that a degree of the binding of alkylphenols to N-alkylacrylamide gel increased transitionally to induce the volume phase transition of gel. Binding isotherms of nonylphenol (n-Ph), propylphenol (p-Ph), ethylphenol (e-Ph), methylphenol (m-Ph), and phenol (Ph) to N-isopropylacrylamide (NIPA), N,N-diethylacrylamide (DEA), N,N-dimethylacrylamide (DMA), and acrylamide (AM) gels were examined. Two types of binding, the site binding at beta < 1 and the multimolecular binding at beta > 1, were observed, where beta was a degree of binding to a monomeric unit of the chain. The former binding was analyzed with the Hill equation applicable to the cooperative binding and the latter binding with the Brunauer-Emmett-Teller (BET) equation applicable to the multilayer adsorption. The binding constant, K, and the Hill coefficient, N, decreased and increased, respectively, in the order of DEA, NIPA, and DMA gels in the case where the binding alkylphenol was the same. The K value increased in the order of Ph, m-Ph, e-Ph, p-Ph, and n-Ph that bound to the same type of gel. The N value was found to change little with the type of binding alkylphenol. The complexes of N-alkylamide with alkylphenol were condensed to form the ordered nanostructures that were observed as broad scattering peaks in small-angle X-ray scattering experiments. The fluorescence excimer emission was observed for the phenol-binding DMA gel, which corresponded to the condensed state of phenol.

Acrylamides↗

Interfacial phase transition of an environmentally responsive elastin biopolymer adsorbed on functionalized gold nanoparticles studied by colloidal surface plasmon resonance.

The change in optical properties of colloidal gold upon aggregation has been used to develop an experimentally convenient colorimetric method to study the interfacial phase transition of an elastin-like polypeptide (ELP), a thermally responsive biopolymer. Gold nanoparticles, functionalized with a self-assembled monolayer (SAM) of mercaptoundecanoic acid onto which an ELP was adsorbed, exhibit a characteristic red color due to the surface plasmon resonance (SPR) of individual colloids. Raising the solution temperature from 10 degrees C to 40 degrees C thermally triggered the hydrophilic-to-hydrophobic phase transition of the adsorbed ELP resulting in formation of large aggregates due to interparticle hydrophobic interaction. Formation of large aggregates caused a change in color of the colloidal suspension from red to violet due to coupling of surface plasmons in aggregated colloids. The surface phase transition of the ELP was reversible, as seen from the reversible change in color upon cooling the suspension to 10 degrees C. The formation of colloidal aggregates due to the interfacial phase transition of adsorbed ELP was independently verified by dynamic light scattering of ELP-modified gold colloids as a function of temperature. Colloidal SPR provides a simple and convenient colorimetric method to study the influence of the solution environment, interfacial properties, and grafting method on the transition properties of ELPs and other environmentally responsive polymers at the solid-water interface.

Adsorption↗

Phase transition characteristics of diphosphatidyl-glycerol (cardiolipin) and stereoisomeric phosphatidyldiacylglycerol bilayers. Mono- and divalent metal ion effects.

Synthesis and phase transition chaaracteristics of aqueous dispersions of the homologous (12 : 0, 14 : 0, 16 : 0) diphosphatidylglycerols (cardiolipins) and phosphatidyldiacylglycerols are reported. Electron microscopy of the negatively stained aqueous dispersions reveals a characteristic lamellar structure suggesting that these phospholipid molecules are organized as bilayers in the aqueous dispersions. The phase transition temperature (Tm) and the enthalpy of transition (delta H) increase monotonically with chain length in the cardiolipin and phosphatidyldiacylglycerol series; Tm for phosphatidyldiacylglycerol is higher than that for cardiolipin of the same chain-length. The transition temperatures for the enantiomeric sn-3,3- and sn-1,1-phosphatidyldiacylglycerol and for the diastereomeric, meso-sn-1,3-phosphatidyldiacylglycerol are approximately the same. The molar enthalpy for the transition of cardiolipin-NH+4 bilayers is approximately twice the value for the phosphatidylcholines of the same chain length, i.e., the molar enthalpy per acyl chain is approximately the same in the two systems. The transition temperatures for metal ion salts of C16-cardiolipin exhibit a biphasic dependence upon the unhydrated ionic radii, i.e., the highest Tm is observed for Ca2+-cardiolipin and decreases for the salts of ions with smaller and larger ionic radii than that of Ca2+. The lowest Tm is observed for Rb+-cardiolipin. Monovalent metal salts of cardiolipin exhibit two phase transitions. This effect may result from different conformational packing of the four acyl chains due to differences in metal-phosphate binding.

Cardiolipins↗

Effect of alcohols on the phase transitions of dihexadecylphosphatidylcholine.

We have systematically investigated the effect of short chain alcohols (methanol to n-propanol) on the phase transitions of 1,2-dihexadecylphosphatidylcholine (DHPC), a lipid that forms a stable interdigitated gel phase (L beta I) in aqueous solution. The temperature of the low-temperature L beta I to P beta' phase transition of DHPC was found to increase with alcohol concentration, showing that alcohol interacts preferentially with the interdigitated phase relative to the non-interdigitated gel. The main transition of DHPC exhibited a biphasic effect of alcohol concentration similar to that previously observed with DPPC (Rowe, E.S. (1983) Biochemistry 22,3299-3305). As alcohol concentration is increased the lower L beta I to P beta' and main P beta' to L alpha transitions of DHPC merge at the threshold concentration of the biphasic effect, so that above this concentration there is one phase transition from L beta I directly to L alpha. This is analogous to DPPC above its biphasic threshold. Similar to DPPC, the transition between L beta I and L alpha exhibits marked hysteresis.

Alcohols↗

Effect of influenza hemagglutinin fusion peptide on lamellar/inverted phase transitions in dipalmitoleoylphosphatidylethanolamine: implications for membrane fusion mechanisms.

Low mole fractions of viral fusion peptides induce inverted cubic (Q(II)) phases in dipalmitoleoylphosphatidylethanolamine (DiPoPE), a lipid with unsaturated acyl chains that normally forms inverted hexagonal phase (H(II)) above 43 degrees C. The ability to form a Q(II) phase is relevant to the study of membrane fusion: fusion occurs in liposomal systems under conditions where Q(II) phase precursors form, and fusion may be an obligatory step in the lamellar (L(alpha))/Q(II) phase transition. We used X-ray diffraction and time-resolved cryoelectron microscopy (TRC-TEM) to study the effects of the influenza hemagglutinin fusion peptide on the phase behavior and structure of DiPoPE. X-ray diffraction data show that at concentrations of 3-7 mol%, the fusion peptide (FP) induces formation of a Q(II) phase in preference to the H(II) phase. TRC-TEM data show that the FP acts at early stages in the phase transition (i.e. within seconds): at 2-7 mol%, FP decreases or inhibits formation of the L(alpha)/H(II) intermediate morphology observed via TRC-TEM in pure DiPoPE at the same temperature. Our X-ray diffraction data imply that FP either does not affect, or slightly increases, the spontaneous curvature of the host lipid (i.e. either does not affect or tends to destabilize inverted phases, respectively). FP may act in part by affecting the relative stability of two intermediate structures in the phase transition mechanism, as suggested previously. These results indicate a new way in which hydrophobic sequences of membrane proteins may be fusogenic.

Calorimetry, Differential Scanning↗