Scanning molecular sieve chromatography of interacting protein systems. IV. The difference profile method as applied to the Gibbs-Duhem expression in the analysis of the dimer-tetramer equilibria of oxyhemoglobin A.

The recently-developed large zone difference profile method in scanning molecular sieve chromatography is applied to the analysis of the Gibbs-Duhem expression in the tetramer-dimer equilibrium of human oxyhemoglobin A. The preferential binding term and solvation parameters of the Hofmeister anion phosphate are examined. Results indicate that as the concentration of phosphate ions increase, a hydrated phosphate is formed which enhances the association by perturbing the solvation layer of the hemoglobin molecules. The standard free energy change at a given Hofmeister anion activity of ln Ax = -3.2476 is 9.4 +/- 0.2 kcal/mole. delta G0 at ln Ax = -1.2711 is 10.90 +/- 0.05 kcal/mole, suggesting that approximately 11 kcal are required to dissociate one mole of tetramer into dimer.     

Energetic studies of lactose active transport in Escherichia coli membrane vesicles

The energetics of D-lactate-driven active transport of lactose in right-side-out Escherichia coli membrane vesicles has been investigated with a microcalorimetric method. Changes of enthalpy (delta Hox), free energy (delta Gox), and entropy (delta Sox) during the D-lactate oxidation reaction in the presence of membrane vesicles are -39.9 kcal, -46.4 kcal, and 22 cal/deg per mole of D-lactate, respectively. The free energy released by this reaction is utilized to form a proton electrochemical potential (delta-microH+) across the membrane. The higher observed heat in the D-lactate oxidation reaction in the presence of carbonylcyanide m-chlorophenylhydrazone (a proton ionophore) supports the postulate that delta-microH+ is formed across the membrane vesicles. Thermodynamic quantities for the formation of delta-microH+ are delta Hm = 14.1 kcal, delta Gm = 0.6 kcal, and delta Sm = 45 cal/deg per mole of D-lactate. The efficiency in the free energy transfer from the oxidation reaction to the formation of delta-microH+ (defined by delta Gm/delta Gox) was 2%, as compared to that in the heat transfer (defined by delta Hm/delta Hox) of 35%. The energetics of the movement of lactose in symport with proton across the membrane as a consequence of the formation of delta-microH+ are delta H1 = -19 kcal, delta G1 = -0.5 kcal, and delta S1 = -62 cal/deg per mole of lactose. No heat of reaction is contributed by lactose movement across the membrane without symport with H+.     

Carboxyl groups in the active center of glucoamylase from Aspergillus awamori

The values for the ionization constants of the catalytic groups of the active site of glucoamylase from Asp. awamori for the free enzyme and for the enzyme--substrate complex were calculated. The temperature dependence of the alkaline branch of the pH-dependence curve and the pH dependence in the presence of methanol were determined. The ionization enthalpy delta H = 1.5 +/- 0.3 kcal/mole, the ionization entropy delta S = 20.5 +/- 1.2 e. u. It was assumed that two carboxyl groups are involved in the catalytic act.     

Reciprocal cooperative effects of multiple ligand binding to pyruvate kinase

The formation of multiple ligand complexes with muscle pyruvate kinase was measured in terms of dissociation constants and the standard free energies of formation were calculated. The binding of Mn2+ to the enzyme (KA = 55 +/- 5 X 10(-6) M; deltaF degrees = -5.75 +/- 0.05 kcal/mol) and to the enzyme saturated with phosphoenolpyruvate (conditional free energy) KA' = 0.8 +/- 0.4 X 10(-6) M; deltaF degrees = -8.22 +/- 0.34 kcal/mol) has been measured under identical conditions giving a free energy of coupling, delta(deltaF degrees) = -2.47 +/- 0.34 kcal/mol. Such a large negative free energy of coupling is diagnostic of a strong positively cooperative effect in ligand binding. The binding of the substrate phosphoenolpyruvate to free enzyme and the enzyme-Mn2+ complex was, by necessity, measured by different methods. The free energy of phosphoenolpyruvate binding to free enzyme (KS = 1.58 +/- 0.10 X 10(-4)M; deltaF degrees = -5.13 +/- 0.04 kcal/mol) and to the enzyme-Mn2+ complex (K3 = 0.75 +/- 0.10 X 10(-6)M; deltaF degrees = -8.26 +/- 0.07 kcal/mol) also gives a large negative free energy of coupling, delta(deltaF degrees) = -3.16 +/- 0.08 kcal/mol. Such a large negative value confirms reciprocal binding effects between the divalent cation and the substrate phosphoenolpyruvate. The binding of Mn2+ to the enzyme-ADP complex was also investigated and a free energy of coupling, delta(deltaF degrees) = -0.08 +/- 0.08 kcal/mol, was measured, indicative of little or no cooperativity in binding. The free energy of coupling with Mn2+ and pyruvate was measured as -1.52 +/- 0.14 kcal/mol, showing a significant amount of cooperativity in ligand binding but a substantially smaller effect than that observed for phosphoenolpyruvate binding. The magnitude of the coupling free energy may be related to the role of the divalent cation in the formation of the enzyme-substrate complexes. In the absence of the activating monovalent cation, the coupling free energies for phosphoenolpyruvate and pyruvate binding decrease by 40-60% and 25%, respectively, substantiating a role for the monovalent cation in the formation of enzyme-substrate complexes with phosphoenolpyruvate and with pyruvate.     

Temperature dependence of enthalpy changes for ethidium and propidium binding to DNA: effect of alkylamine chains

Calorimetric titrations have been performed on the binding of ethidium and propidium to calf thymus DNA at temperatures in the 15-60 degrees C range. Enthalpy changes (delta HB) derived from these experiments performed with the new Omega reaction calorimeter have a precision of +/- 0.10 kcal/mol or less at all temperatures. For ethidium (a monocation), delta HB varies little with temperature, and the heat capacity change (delta CP) for the binding reaction derived from these parameters is 10 cal/deg/mol. In contrast, delta HB changes from -6.5 to -8.1 kcal/mol for DNA binding of propidium (a dication due to a charged amine group at the end of an alkyl chain attached to the phenanthridine ring nitrogen), and delta CP is -57 cal/deg/mol. At 21 degrees C a plot of delta HB vs mole ratio is curved downward for propidium in the 0.08-0.25 range, whereas the same plot at 45 degrees C is a straight line from 0.05 to 0.15 and sharply downward thereafter. Similar plots for ethidium follow the latter pattern between 25 and 50 degrees C. These observations and our analyses of delta HB and delta SB are consistent with the hypothesis that the location in the DNA complex and the rotational motion of the alkylamine chain change substantially over the temperature range in this study. Only near 50 degrees C is delta HB equal for the binding of these two cations to DNA, and caution must be used in analyses of enthalpic effects when the temperature dependence for delta HB is not available.     

Thermodynamic and structural properties of pentamer DNA.DNA, RNA.RNA, and DNA.RNA duplexes of identical sequence

Four pentamers with the general sequence 5'CU(T)GU(T)G/5'CACAG have been prepared by chemical synthesis in order to generate duplex structures with common sequences. The four duplexes studied include the DNA.DNA duplex (5'dCACAG/5'dCTGTG) and the RNA.RNA duplex (5'rCUGUG/5'rCACAG) as well as the two corresponding DNA.RNA heteroduplexes (5'rCUGUG/5'dCACAG and 5'CACAG/5'dCTGTG). The measured entropy, enthalpy, and free energy changes upon melting are reported for each pentamer and compared to the predicted values where possible. Results show that the two DNA.RNA heteroduplexes are destabilized (delta G degrees 25 = -4.2 +/- 0.4 kcal/mol) relative to either the DNA.DNA duplex (delta G degrees 25 = -4.8 +/- 0.5 kcal/mol) or the RNA.RNA duplex (delta G degrees 25 = -5.8 +/- 0.6 kcal/mol). Circular dichroism spectra indicate that the RNA and the two heteroduplexes adopt an A-form conformation, while the DNA conformation is B-form. Imino proton NMR spectra also show that the heteroduplex structures resemble the RNA.RNA duplex.     

Flanking DNA-sequences contribute to the specific binding of cI-repressor and OR1.

The binding of cI-repressor to a series of mutant operators containing OR1 of the right operator of bacteriophage lambda was investigated. Sites OR2 and/or OR3 were inactivated by either point or deletion mutations. The free energy of binding repressor to OR1 in the wildtype operator, delta G1, is -13.7 +/- 0.3 kcal/mol. delta G1 determined for an OR2- operator created by a single point mutation in OR2 is -13.6 +/- 0.2 kcal/mol. In contrast, delta G1 for the binding of repressor to a cloned synthetic OR1 operator containing only 24 bp of lambda sequence is -12.2 +/- 0.1 kcal/mol. When sequence 5' to OR1 is present, the binding affinity increases to -13.0 +/- 0.1 kcal/mol. In addition, the proximity of OR1 to a fragment-end decreases delta G1 from -13.7 to -12.3 +/- 0.1 kcal/mol. These results suggest that the DNA sequence outside the 17 bp OR1 binding-site contributes to the specific binding of cI-repressor.     

Stability mutants of staphylococcal nuclease: large compensating enthalpy-entropy changes for the reversible denaturation reaction

By use of intrinsic fluorescence to determine the apparent equilibrium constant Kapp as a function of temperature, the midpoint temperature Tm and apparent enthalpy change delta Happ on reversible thermal denaturation have been determined over a range of pH values for wild-type staphylococcal nuclease and six mutant forms. For wild-type nuclease at pH 7.0, a Tm of 53.3 +/- 0.2 degrees C and a delta Happ of 86.8 +/- 1.4 kcal/mol were obtained, in reasonable agreement with values determined calorimetrically, 52.8 degrees C and 96 +/- 2 kcal/mol. The heat capacity change on denaturation delta Cp was estimated at 1.8 kcal/(mol K) versus the calorimetric value of 2.2 kcal/(mol K). When values of delta Happ and delta Sapp for a series of mutant nucleases that exhibit markedly altered denaturation behavior with guanidine hydrochloride and urea were compared at the same temperature, compensating changes in enthalpy and entropy were observed that greatly reduce the overall effect of the mutations on the free energy of denaturation. In addition, a correlation was found between the estimated delta Cp for the mutant proteins and the d(delta Gapp)/dC for guanidine hydrochloride denaturation. It is proposed that both the enthalpy/entropy compensation and this correlation between two seemingly unrelated denaturation parameters are consequences of large changes in the solvation of the denatured state that result from the mutant amino acid substitutions.     

Thermodynamics of a stable yeast 5.8S rRNA hairpin helix.

The 5. 8S ribosomal RNA of bakers yeast contains one particularly stable hairpin helix which is isolated by partial T1 ribonuclease digestion. Thermal hyperchromism analysis of the hairpin fragment showed that it dissociates cooperatively with 18% hyperchromism, with a Tm of 83 degree C at 2.7 mM sodium ion concentration, and with a hyperchromic difference spectrum indicative of over 90% G + C content. The probable secondary structure for the fragment was used to predict a helix free energy, delta G = -16.2 kcal/mole, which was the same as that determined from the melting equilibrium. The predicted enthalpy however, was 77% of the value, delta H = -114 kcal/mole, determined from the van't Hoff relationship. The effect on these data of a G.U base pair within the 9 base pair helix is discussed.     

Thermodynamics of ribonuclease T1 denaturation.

Differential scanning calorimetry has been used to investigate the thermodynamics of denaturation of ribonuclease T1 as a function of pH over the pH range 2-10, and as a function of NaCl and MgCl2 concentration. At pH 7 in 30 mM PIPES buffer, the thermodynamic parameters are as follows: melting temperature, T1/2 = 48.9 +/- 0.1 degrees C; enthalpy change, delta H = 95.5 +/- 0.9 kcal mol-1; heat capacity change, delta Cp = 1.59 kcal mol-1 K-1; free energy change at 25 degrees C, delta G degrees (25 degrees C) = 5.6 kcal mol-1. Both T1/2 = 56.5 degrees C and delta H = 106.1 kcal mol-1 are maximal near pH 5. The conformational stability of ribonuclease T1 is increased by 3.0 kcal/mol in the presence of 0.6 M NaCl or 0.3 M MgCl2. This stabilization results mainly from the preferential binding of cations to the folded conformation of the protein. The estimates of the conformational stability of ribonuclease T1 from differential scanning calorimetry are shown to be in remarkably good agreement with estimates derived from an analysis of urea denaturation curves.     

Conformational and thermodynamic properties of apo A-1 of human plasma high density lipoproteins.

Conformational changes of apo A-1, the principal apoprotein of human plasma high density lipoprotein, have been studied by differential scanning calorimetry and ultraviolet difference spectroscopy as a function of temperature, pH, concentration of apoprotein, and urea concentration. Calorimetry shows that apo A-1 (5 to 40 mg/ml, pH 9.2) undergoes a two-state, reversible denaturation (enthalpy = 64 +/- 8.9 kcal/mole), between 43--71 degrees (midpoint temperature, Tm = 54 degrees), associated with a rise in heat capacity (deltaCvd) of 2.4 +/- 0.5 kcal/mole/degrees C. Apo A-1 (0.2 to 0.4 mg/ml, pH 9.2) develops a negative difference spectrum between 42--70 degrees, with Tm = 53 degrees. The enthalpy (deltaH = 59 +/- 5.7 kcal/mole at Tm) and heat capacity change (2.7 +/- 0.9 kcal/mole/degrees C) in the spectroscopic experiments were not significantly different from the calorimetric values. Below pH 9 and above pH 11, the calorimetric Tm and deltaH of denaturation are decreased. In the pH range of reversible denaturation (6.5 to 11.8), delatH and Tm are linearly related, showing that the heat capacity change (ddeltaH/dT) associated with denaturation is independent of Tm. In urea solutions, the calorimetric Tm and deltaH of denaturation are decreased. At 25 degrees, apo A-1 develops a negative difference spectrum between 1.4 and 3 M urea. Fifty per cent of the spectral change occurs in 2.4 M urea, which corresponds to the urea concentration obtained by extrapolation of the calorimetric Tm to 25 degrees. In urea solution of less than 0.75 M there is hyperchromicity at 285 nm (delta epsilon = 264 in 0.75 M urea), indicating strong interaction of aromatic amino acid residues in the native molecule with the solvent. Spectrophotometric titration of apo A-1 shows that 6.6 of the 7 tyrosine groups of apo A-1 titrate at pH less than 11.9, with similar titration curves obtained in aqueous solutions and in 6 M urea. The free energy of stabilization (deltaG) of the native conformation of apo A-1 was estimated, (a) at 37 degrees, using the calorimetric deltaA and deltaCvd, and (b) at 25 degrees, by extrapolation of spectroscopic data to zero urea concentration. The values (deltaG (37 degrees) = 2.4 and deltaG (25 degrees) = 2.7 kcal/mole) are small compared to typical globular proteins, indicating that native apo A-1 has a loosely folded tertiary structure. The low values of deltaG reflect the high degree of exposure of hydrophobic areas in the native protein molecule. The loosely folded conformation of apo A-1 allows extensive binding of lipid, since this can involve both surface hydrophobic sites and hydrophobic areas exposed by a cooperative, low energy unfolding process.     

Spectroscopic and calorimetric investigation on the DNA triplex formed by d(CTCTTCTTTCTTTTCTTTCTTCTC) and d(GAGAAGAAAGA) at acidic pH.

The equimolar mixture of d(CTCTTCTTTCTTTTCTTTCTTCTC) (dY24) and d(GAGAAGAAAGA) (dR11) [designated (dY24).(dR11)], forms at pH = 5 a DNA triplex, which mimicks the H-DNA structure. The DNA triplex was identified by the following criteria: (i) dY24 and dR11 co-migrate in a poly-acrylamide gel, with a mobility and a retardation coefficient comparable to those observed for an 11-triad DNA triplex, previously characterized in our laboratories (1); (ii) the intercalator ethidium bromide shows a poor affinity for (dR11).(dY24) at pH = 5, and a high affinity at pH = 8; (iii) the (dR11).(dY24) mixture is not a substrate for DNase I at pH = 5; (iv) the CD spectrum of (dR11).(dY24), at pH = 5, is consistent with those previously reported for triple-stranded DNA. The (dR11).(dY24) mixture exhibits a thermally induced co-operative transition, which appears to be monophasic, reversible and concentration dependent. This transition is attributed to the disruption of the DNA triplex into single strands. The enthalpy change of the triplex-coil transition was measured by DSC (delta Hcal = 129 +/- 6 kcal/mol) and, assuming a two-state model, by analysis of UV-denaturation curves (average of two methods delta HUV = 137 +/- 13 kcal/mol). Subtracting from delta Hcal of triplex formation the contributions due to the Watson-Crick helix and to the protonation of the C-residues, we found that each pyrimidine binding into the major groove of the duplex, through a Hoogsteen base pair, is accompanied by an average delta H = -5.8 +/- 0.6 kcal/mol. The effect on the stability of the (dR11).(dY24) triplex due to the substitution of a T:A:T triad with a T:T:T one was also investigated.     

Angle and locus of the bend induced by the msp I DNA methyltransferase in a sequence-specific complex with DNA.

Bending of DNA induced by M.Msp I, one of the m5C-DNA methyltransferases, has been investigated using circular permutation analysis. The M.Msp I MTase induced sharp bends in DNA containing its recognition sequence 5'-CCGG-3'which was estimated to be 142+/-4 degrees and 132+/-4 degrees for circularly permuted DNA fragments of 127 and 1459 bp respectively. The bend centre was found to be asymmetric with respect to the CCGG sequence and appeared to exclude the 'target cytosine'. An estimate of approximately 15 kcal/mol was obtained for the free energy associated with M.Msp I-induced DNA bending.     

Scanning molecular sieve chromatography of interacting protein systems. IV. The difference profile method as applied to the Gibbs-Duhem expression in the analysis of the dimer-tetramer equilibria of oxyhemoglobin A

The recently-developed large zone difference profile method in scanning molecular sieve chromatography is applied to the analysis of the Gibbs-Duhem expression in the tetramer-dimer equilibrium of human oxyhemoglobin A. The preferential binding term and solvation parameters of the Hofmeister anion phosphate are examined. Results indicate that as the concentration of phosphate ions increase, a hydrated phosphate is formed which enhances the association by perturbing the solvation layer of the hemoglobin molecules. The standard free energy change at a given Hofmeister anion activity of InA(x) = -3.2476 is 9.4 +/- 0.2 kcal mole . DeltaG degrees at InA(x) = -1.2711 is 10.90 +/- 0.05 kcal mole , suggesting that approximately 11 kcal are required to dissociate one mole of tetramer into dimer.     

A time-resolved photoacoustic calorimetry study of the dynamics of enthalpy and volume changes produced in the photodissociation of carbon monoxide from sperm whale carboxymyoglobin

The dynamics of the enthalpy and volume changes produced in the photodissociation of carbon monoxide from sperm whale myoglobin is investigated by time-resolved photoacoustic calorimetry. The enthalpy and volume changes for the formation of the geminate pair, which occurs within 50 ns of photolysis, are delta H = -2.2 +/- 2.8 kcal/mol and delta V = -10.0 +/- 1.0 mL/mol relative to carboxymyoglobin. The enthalpy and volume changes associated with formation of deoxymyoglobin and solvated carbon monoxide, formed with a half-life of 702 +/- 31 ns at 20 degrees C, are delta H = 14.6 +/- 3.4 kcal/mol and delta V = 5.8 +/- 1.0 mL/mol relative to carboxymyoglobin.     

Thermal inactivation and stabilization of lysozyme substrate-- Micrococcus lysodeicticus cells

Heat inactivation of the acetonic powder of Micrococcus lysodeicticus cells suspended in phosphate buffer pH 6.2 was quantitatively characterized in the temperature range from 34 to 52 degrees. The total value of the rate constant for heat inactivation of the cells equals 2.88 X 10(8) exp(-18360/RT) sec-1. The activation parameters of the process at 34 degrees are the following: delta H* = 17.7 kcal/mole; delta S* = 21.8 E. U.; delta F* = 24.4 kcal/mole. The effect of ethylene glycol, mannitol, dextran, polyvinyl alcohol (PVA) and polyethylene glycols with different molecular weights on the lysis rate and cell stability was studied. Polyvinyl alcohol was found to be the most effective stabilizer. At concentrations of about 10(-5) it enhances the thermostability of the cells threefold.     

Thermodynamics of DNA branching.

Branched DNA molecules arise transiently as intermediates in genetic recombination or on extrusion of cruciforms from covalent circular DNA duplexes that contain palindromic sequences. The free energy of these structures relative to normal DNA duplexes is of interest both physically and biologically. Oligonucleotide complexes that can form stable branched structures, DNA junctions, have made it possible to model normally unstable branched states of DNA such as Holliday recombinational intermediates. We present here an evaluation of the free energy of creating four-arm branch points in duplex DNA, using a system of two complementary junctions and four DNA duplexes formed from different combinations of the same set of eight 16-mer strands. The thermodynamics of formation of each branched structure from the matching pair of intact duplexes have been estimated in two experiments. In the first, labeled strands are allowed to partition between duplexes and junctions in a competition assay on polyacrylamide gels. In the second, the heats of forming branched or linear molecules from the component strands have been determined by titration microcalorimetry at several temperatures. Taken together these measurements allow us to determine the standard thermodynamic parameters for the process of creating a branch in an otherwise normal DNA duplex. The free energy for reacting two 16-mer duplexes to yield a four-arm junction in which the branch site is incapable of migrating is + 1.1 (+/- 0.4) kcal mol-1 (at 18 degrees C, 10 mM-Mg2+). Analysis of the distribution of duplex and tetramer products by electrophoresis confirms that the free energy difference between the four duplexes and two junctions is small at this temperature. The associated enthalpy change at 18 degrees C is +27.1 (+/- 1.3) kcal mol-1, while the entropy is +89 (+/- 30) cal K-1 mol-1. The free energy for branching is temperature dependent, with a large unfavorable enthalpy change compensated by a favorable entropy term. Since forming one four-stranded complex from two duplexes should be an entropically unfavorable process, branch formation is likely to be accompanied by significant changes in hydration and ion binding. A significant apparent delta Cp is also observed for the formation of one mole of junction, +0.97 (+/-0.05) kcal deg-1 mol-1.     

Klenow fragment of DNA-polymerase I from E. coli. III. The role of internucleotide phosphate groups of the matrix in its binding with the enzyme

The modification of Klenow fragment of DNA polymerase I E. coli was investigated by the affinity reagents d(Tp)2C[Pt2+(NH3)2OH](pT)7 and d(pT)2pC[Pt2+(NH3)2OH](pT)7. The template binding site of the enzyme was modified by these reagents in the presence of NaF (5 mM), which inhibits selectively the 3'----5'-exonuclease activity of the enzyme and therefore prevents the reagent from degradation. NaCN destroyed covalent bonds between reagents and enzyme, restoring activity of the Klenow fragment. The affinity of different ligands (inorganic phosphate, nucleoside monophosphates, oligonucleotides) to the template binding site of Klenow fragment was estimated. Minimal ligands capable to bind with the template site were shown to be triethylphosphate (Kd 290 microM) and phosphate (Kd 26 microM). Ligand affinity increases by the factor 1.76 per an added (monomer unit from phosphate to d(pT) and then for oligonucleotides d(Tp)nT (n 1 to 19-20). At n greater than 19-20, the ligand affinity remained constant. The complete ethylation of phosphodiester groups lowers affinity of the oligothymidylates to the enzyme by approximately 10 times, and comparable decrease of Pt2+-oligonucleotide affinity to polymerase is caused by the absence of Mn2+-ions. The data obtained led to suggestion that one Me2+-dependent electrostatic contact of the template phosphodiester group with the enzyme takes place (delta G = -1.45...-1.75 kcal/mole). Formation of a hydrogen bond with the oxygen atom of P = O group of the same template phosphate is also assumed (delta G = -4.8...-4.9 kcal/mole). Other template internucleotide phosphates do not interact with the enzyme but the bases of oligonucleotides take part in hydrophobic interactions with the template binding site. Gibbs energy changes by -0.34 kcal/mole when the template is lengthened by one unit.     

Thermodynamics of phospholipid bilayer assembly

Thermodynamic properties of bilayer assembly have been obtained from measurements of the solubility of the sodium salt of dimyristoylphosphatidylglycerol (DMPG) in water. The standard free energy of bilayer assembly delta G degree a is shown to be RT 1n Xs + zF psi 0 where Xs is the mole fraction of dissolved lipid, F is the Faraday constant, z is the valence of the counterion (Na+), and psi 0 is the electrical double-layer potential of the ionized bilayer. The function d 1n Xs/dT was found to be discontinuous at 24 degrees C, the gel-liquid-crystal transition temperature (Tm) for DMPG. This function was unaffected when solubilities were measured in 0.001 M NaCl solutions; thus, psi 0 is constant in the experimental temperature interval (4-40 degrees C). Using a value of psi 0 = -180 mV [Eisenberg et al. (1979) Biochemistry 18, 5213-5223], and the temperature dependence of delta G degrees a, values for delta H degrees a and delta S degree a at 24 degrees C were calculated for the gel and liquid-crystal states of DMPG. For the gel, delta H degrees a and T delta S a are -26.2 and 12.7 kcal/mol, respectively; for the liquid-crystal, delta H degrees a and T delta S degrees a are -19.2 and -5.7 kcal/mol, respectively. The calculated value for the latent heat of the gel-liquid-crystal transition is 7 kcal/mol, in agreement with calorimetric measurements.