Directed Evolution of Aminoglycoside Phosphotransferase (3′) Type IIIa Variants That Inactivate Amikacin but Impose Significant Fitness Costs

The rules that govern adaptive protein evolution remain incompletely understood. Aminoglycoside aminotransferase (3′) type IIIa (hereafter abbreviated APH(3′)-IIIa) is a good model enzyme because it inactivates kanamycin efficiently; it recognizes other aminoglycoside antibiotics, including amikacin, but not nearly as well. Here we direct the evolution of APH(3′)-IIIa variants with increased activity against amikacin. After four rounds of random mutation and selection in Escherichia coli, the minimum inhibitory concentration of amikacin rose from 18 micrograms/mL (wild-type enzyme) to over 1200 micrograms/mL (clone 4.1). The artificially evolved 4.1 APH(3′)-IIIa variant exhibited 19-fold greater catalytic efficiency (k _cat/K _M) than did the wild-type enzyme in reactions with amikacin. E. coli expressing the evolved 4.1 APH(3′)-IIIa also exhibited a four-fold decrease in fitness (as measured by counting colony forming units in liquid cultures with the same optical density) compared with isogenic cells expressing the wild-type protein under non-selective conditions. We speculate that these fitness costs, in combination with the prevalence of other amikacin-modifying enzymes, hinder the evolution of APH(3′)-IIIa in clinical settings.     

ATP analogs and muscle contraction: mechanics and kinetics of nucleoside triphosphate binding and hydrolysis.

The mechanical behavior of skinned rabbit psoas muscle fiber contractions and in vitro motility of F-actin (Vf) have been examined using ATP, CTP, UTP, or their 2-deoxy forms (collectively designated as nucleotide triphosphates or NTPs) as contractile substrates. Measurements of actin-activated heavy meromyosin (HMM) NTPase, the rates of NTP binding to myosin and actomyosin, NTP-mediated acto-HMM dissociation, and NTP hydrolysis by acto-HMM were made for comparison to the mechanical results. The data suggest a very similar mechanism of acto-HMM NTP hydrolysis. Whereas all NTPs studied support force production and stiffness that vary by a factor 2 or less, the unloaded shortening velocity (Vu) of muscle fibers varies by almost 10-fold. 2-Deoxy ATP (dATP) was unique in that Vu was 30% greater than with ATP. Parallel behavior was observed between Vf and the steady-state maximum actin-activated HMM ATPase rate. Further comparisons suggest that the variation in force correlates with the rate and equilibrium constant for NTP cleavage; the variations in Vu or Vf are related to the rate of cross-bridge dissociation caused by NTP binding or to the rate(s) of product release.     

Aminoglycoside binding and catalysis specificity of aminoglycoside 2″-phosphotransferase IVa: A thermodynamic,structural and kinetic study

BackgroundAminoglycoside O-phosphotransferases make up a large class of bacterial enzymes that is widely distributed among pathogens and confer a high resistance to several clinically used aminoglycoside antibiotics. Aminoglycoside 2″-phosphotransferase IVa, APH(2″)-IVa, is an important member of this class, but there is little information on the thermodynamics of aminoglycoside binding and on the nature of its rate-limiting step.MethodsWe used isothermal titration calorimetry, electrostatic potential calculations, molecular dynamics simulations and X-ray crystallography to study the interactions between the enzyme and different aminoglycosides. We determined the rate-limiting step of the reaction by the means of transient kinetic measurements.ResultsFor the first time, K_d values were determined directly for APH(2″)-IVa and different aminoglycosides. The affinity of the enzyme seems to anti-correlate with the molecular weight of the ligand, suggesting a limited degree of freedom in the binding site. The main interactions are electrostatic bonds between the positively charged amino groups of aminoglycosides and Glu or Asp residues of APH. In spite of the significantly different ratio K_d/K_m, there is no large difference in the transient kinetics obtained with the different aminoglycosides. We show that a product release step is rate-limiting for the overall reaction.ConclusionsAPH(2″)-IVa has a higher affinity for aminoglycosides carrying an amino group in 2′ and 6′, but tighter bindings do not correlate with higher catalytic efficiencies. As with APH(3′)-IIIa, an intermediate containing product is preponderant during the steady state.General significanceThis intermediate may constitute a good target for future drug design.     

Backbone resonance assignments of a promiscuous aminoglycoside antibiotic resistance enzyme; the aminoglycoside phosphotransferase(3′)-IIIa

The aminoglycoside phosphotransferase(3′)-IIIa (APH) is a promiscuous enzyme and renders a large number of structurally diverse aminoglycoside antibiotics useless against infectious bacteria. A remarkable property of this ~31 kDa enzyme is in its unusual dynamic behavior in solution; the apo-form of the enzyme exchanges all of its backbone amide protons within 15 h of exposure to D ₂ O while aminoglycoside-bound forms retain ~40% of the amide protons even after >90 h of exposure. Moreover, the number of observable peaks and their dispersion in HSQC spectra varies with each aminoglycoside, rendering the resonance assignments very challenging. Therefore, the binary APH–tobramycin complex, which shows the largest number of well-resolved peaks, was used for the backbone resonance assignments (Cα, C, N, H, and some Cβ) of this protein (BMRB-16337).     

The Ca2+ uptake and the hydrolysis of various nucleotide triphosphates by human platelet membranes

Several nucleotide triphosphates (NTPs) were tested as energy source for the Ca²⁺ uptake by human platelet membrane vesicles. The Ca²⁺ uptake by these membranes was driven by ATP, GTP, ITP, UTP and CTP. The steady-state level of accumulated Ca²⁺ was equal with the different NTPs. The highest uptake velocity was found with ATP, but about 40–80% of the velocity with ATP could be accomplished with the other nucleotides. The highest affinity was also found with ATP (K_m apparent  15 μM). The liberation of P_i from the various NTPs was measured simultaneously with the Ca²⁺ uptake. The coupling ratio (moles of Ca²⁺ taken up/moles of P_i liberated) varied from 0.4 for ATP to 2.3 for UTP and was almost independent of the NTP concentration. The enzyme activity with ATP as substrate is strongly dependent on the Ca²⁺ concentration in contrast to the activity with GTP, ITP, UTP or CTP.     

Fuel Specificity of the Hepatitis C Virus NS3 Helicase

The hepatitis C virus (HCV) NS3 protein is a helicase capable of unwinding duplex RNA or DNA. This study uses a newly developed molecular-beacon-based helicase assay (MBHA) to investigate how nucleoside triphosphates (NTPs) fuel HCV helicase-catalyzed DNA unwinding. The MBHA monitors the irreversible helicase-catalyzed displacement of an oligonucleotide-bound molecular beacon so that rates of helicase translocation can be directly measured in real time. The MBHA reveals that HCV helicase unwinds DNA at different rates depending on the nature and concentration of NTPs in solution, such that the fastest reactions are observed in the presence of CTP followed by ATP, UTP, and GTP. 3′-Deoxy-NTPs generally support faster DNA unwinding, with dTTP supporting faster rates than any other canonical (d)NTP. The presence of an intact NS3 protease domain makes HCV helicase somewhat less specific than truncated NS3 bearing only its helicase region (NS3h). Various NTPs bind NS3h with similar affinities, but each NTP supports a different unwinding rate and processivity. Studies with NTP analogs reveal that specificity is determined by the nature of the Watson-Crick base-pairing region of the NTP base and the nature of the functional groups attached to the 2′ and 3′ carbons of the NTP sugar. The divalent metal bridging the NTP to NS3h also influences observed unwinding rates, with Mn²⁺ supporting about 10 times faster unwinding than Mg²⁺. Unlike Mg²⁺, Mn²⁺ does not support HCV helicase-catalyzed ATP hydrolysis in the absence of stimulating nucleic acids. Results are discussed in relation to models for how ATP might fuel the unwinding reaction.     

Crystal structure and kinetic mechanism of aminoglycoside phosphotransferase-2��-IVa

Acquired resistance to aminoglycoside antibiotics primarily results from deactivation by three families of aminoglycoside-modifying enzymes. Here, we report the kinetic mechanism and structure of the aminoglycoside phosphotransferase 2″-IVa (APH(2″)-IVa), an enzyme responsible for resistance to aminoglycoside antibiotics in clinical enterococcal and staphylococcal isolates. The enzyme operates via a Bi-Bi sequential mechanism in which the two substrates (ATP or GTP and an aminoglycoside) bind in a random manner. The APH(2″)-IVa enzyme phosphorylates various 4,6-disubstituted aminoglycoside antibiotics with catalytic efficiencies (k_cat/K_m) of 1.5 × 10³ to 1.2 × 10⁶ (M⁻¹ s⁻¹). The enzyme uses both ATP and GTP as the phosphate source, an extremely rare occurrence in the phosphotransferase and protein kinase enzymes. Based on an analysis of the APH(2″)-IVa structure, two overlapping binding templates specifically tuned for hydrogen bonding to either ATP or GTP have been identified and described. A detailed understanding of the structure and mechanism of the GTP-utilizing phosphotransferases is crucial for the development of either novel aminoglycosides or, more importantly, GTP-based enzyme inhibitors which would not be expected to interfere with crucial ATP-dependent enzymes.     

31P-NMR saturation transfer study of the in vivo kinetics of arginine kinase in Carcinus crab leg muscle

The kinetics of the reaction catalyzed by arginine kinase have been determined at 9.5 and 23°C for in vivo leg muscle of Carcinus maenas (the common shore crab) using the noninvasive technique of ³¹P-NMR spectroscopy. Concentrations of mobile phosphorus metabolites were the same at both temperatures: 78.7 mM for arginine phosphate, 9.0 mM for adenosine triphosphate (ATP), and 2.6 mM for inorganic phosphate (P_i), as estimated from NMR resonance intensities and literature values for ATP concentration as assayed by traditional biochemical methods. Apparent unidirectional rate constants for formation of ATP from arginine phosphate and ADP were 0.09 s^?1 at 9.5°C and 0.27 s^?1 at 23°C. Pseudo-first-order rate constants for arginine phosphate generation from Arg and ATP were 0.38 and 1.10 s^?1 at 9.5 and 23°C, respectively. In vivo Q₁₀ for the arginine kinase reaction between 9.5 and 23°C was thus 2.2 for both directions. When the kinetic data are analyzed using the Arrhenius equation, activation energies of 126 kJ/mol for ATP formation and 105 kJ/mol for arginine phosphate formation are found. The measured chemical fluxes through arginine kinase in the forward reaction (arginine phosphate hydrolysis) were twice those in the reverse reaction, consistent with either compartmentation of substrates or participation of substrates in alternative metabolic pathways.     

Revisiting the Nucleotide and Aminoglycoside Substrate Specificity of the Bifunctional Aminoglycoside Acetyltransferase(6′)-Ie/Aminoglycoside Phosphotransferase(2″)-Ia Enzyme

The bifunctional aminoglycoside-modifying enzyme aminoglycoside acetyltransferase(6′)-Ie/aminoglycoside phosphotransferase(2″)-Ia, or AAC(6′)-Ie/APH(2″)-Ia, is the major source of aminoglycoside resistance in Gram-positive bacterial pathogens. In previous studies, using ATP as the cosubstrate, it was reported that the APH(2″)-Ia domain of this enzyme is unique among aminoglycoside phosphotransferases, having the ability to inactivate an unusually broad spectrum of aminoglycosides, including 4,6- and 4,5-disubstituted and atypical. We recently demonstrated that GTP, and not ATP, is the preferred cosubstrate of this enzyme. We now show, using competition assays between ATP and GTP, that GTP is the exclusive phosphate donor at intracellular nucleotide levels. In light of these findings, we reevaluated the substrate profile of the phosphotransferase domain of this clinically important enzyme. Steady-state kinetic characterization using the phosphate donor GTP demonstrates that AAC(6′)-Ie/APH(2″)-Ia phosphorylates 4,6-disubstituted aminoglycosides with high efficiency (k_cat/K_m = 10⁵-10⁷ m⁻¹ s⁻¹). Despite this proficiency, no resistance is conferred to some of these antibiotics by the enzyme in vivo. We now show that phosphorylation of 4,5-disubstituted and atypical aminoglycosides are negligible and thus these antibiotics are not substrates. Instead, these aminoglycosides tend to stimulate an intrinsic GTPase activity of the enzyme. Taken together, our data show that the bifunctional enzyme efficiently phosphorylates only 4,6-disubstituted antibiotics; however, phosphorylation does not necessarily result in bacterial resistance. Hence, the APH(2″)-Ia domain of the bifunctional AAC(6′)-Ie/APH(2″)-Ia enzyme is a bona fide GTP-dependent kinase with a narrow substrate profile, including only 4,6-disubstituted aminoglycosides.     

Torque Generation Mechanism of F1-ATPase upon NTP Binding

Molecular machines fueled by NTP play pivotal roles in a wide range of cellular activities. One common feature among NTP-driven molecular machines is that NTP binding is a major force-generating step among the elementary reaction steps comprising NTP hydrolysis. To understand the mechanism in detail,in this study, we conducted a single-molecule rotation assay of the ATP-driven rotary motor protein F₁-ATPase using uridine triphosphate (UTP) and a base-free nucleotide (ribose triphosphate) to investigate the impact of a pyrimidine base or base depletion on kinetics and force generation. Although the binding rates of UTP and ribose triphosphate were 10³ and 10⁶ times, respectively, slower than that of ATP, they supported rotation, generating torque comparable to that generated by ATP. Affinity change of F₁ to UTP coupled with rotation was determined, and the results again were comparable to those for ATP, suggesting that F₁ exerts torque upon the affinity change to UTP via rotation similar to ATP-driven rotation. Thus, the adenine-ring significantly enhances the binding rate, although it is not directly involved in force generation. Taking into account the findings from another study on F₁ with mutated phosphate-binding residues, it was proposed that progressive bond formation between the phosphate region and catalytic residues is responsible for the rotation-coupled change in affinity.     

The conformation of H,K-ATPase determines the nucleoside triphosphate (NTP) selectivity for active proton transport

The gastric H,K-ATPase is related to other cation transport ATPases, for example, Na,K-ATPase and Ca-ATPase, which are called E1-E2 ATPases in recognition of conformational transitions during their respective transport and catalytic cycles. Generally, these ATPases cannot utilize NTPs other than ATP for net ion transport activity. For example, under standard assay conditions, rates of NTP hydrolysis and H+ pumping by the H,K-ATPase for CTP are about 10% of those for ATP and undetectable with GTP, ITP, and UTP. However, we observed that H,K-ATPase will catalyze NTP/ADP phosphate exchange at similar rates for all of these NTPs, suggesting that a common phosphoenzyme intermediate is formed. The present study was undertaken to evaluate the specificity of nucleotides to power the H,K-ATPase and several of its partial reactions, including NTP/ADP exchange, K+-catalyzed phosphatase activity, and proton pumping. Results demonstrate that under conditions that promote the conformational change of the K+ bound form of the enzyme, K.E2, to E1, all NTPs tested support K+-stimulated NTPase activity and H+ pumping up to 30-50% of that with ATP. These conditions include (1) the presence of ADP as well as the NTP energy source and (2) reduced K+ concentration on the cytoplasmic side to approximately 0. These data conform to structural models for E1-E2 ATPases whereby adenosine binding promotes the K.E2 to E1 conformational change and K+ deocclusion.     

Torque Generation Mechanism of F1-ATPase upon NTP Binding

Molecular machines fueled by NTP play pivotal roles in a wide range of cellular activities. One common feature among NTP-driven molecular machines is that NTP binding is a major force-generating step among the elementary reaction steps comprising NTP hydrolysis. To understand the mechanism in detail,in this study, we conducted a single-molecule rotation assay of the ATP-driven rotary motor protein F₁-ATPase using uridine triphosphate (UTP) and a base-free nucleotide (ribose triphosphate) to investigate the impact of a pyrimidine base or base depletion on kinetics and force generation. Although the binding rates of UTP and ribose triphosphate were 10³ and 10⁶ times, respectively, slower than that of ATP, they supported rotation, generating torque comparable to that generated by ATP. Affinity change of F₁ to UTP coupled with rotation was determined, and the results again were comparable to those for ATP, suggesting that F₁ exerts torque upon the affinity change to UTP via rotation similar to ATP-driven rotation. Thus, the adenine-ring significantly enhances the binding rate, although it is not directly involved in force generation. Taking into account the findings from another study on F₁ with mutated phosphate-binding residues, it was proposed that progressive bond formation between the phosphate region and catalytic residues is responsible for the rotation-coupled change in affinity.     

Purification and characterization of aminoglycoside phosphotransferase APH(6)-Id,a streptomycin-inactivating enzyme

As part of an overall project to characterize the streptomycin phosphotransferase enzyme APH(6)-Id, which confers bacterial resistance to streptomycin, we cloned, expressed, purified, and characterized the enzyme. When expressed in Escherichia coli, the recombinant enzyme increased by up to 70-fold the minimum inhibitory concentration needed to inhibit cell growth. Size-exclusion chromatography gave a molecular mass of 31.4 ± 1.3 kDa for the enzyme, showing that it functions as a monomer. Activity was assayed using three methods: (1) an HPLC-based method that measures the consumption of streptomycin over time; (2) a spectrophotometric method that utilizes a coupled assay; and (3) a radioenzymatic method that detects production of ³²P-labeled streptomycin phosphate. Altogether, the three methods demonstrated that streptomycin was consumed in the APH(6)-Id-catalyzed reaction, ATP was hydrolyzed, and streptomycin phosphate was produced in a substrate-dependent manner, demonstrating that APH(6)-Id is a streptomycin phosphotransferase. Steady-state kinetic analysis gave the following results: K _m(streptomycin) of 0.38 ± 0.13 mM, K _m(ATP) of 1.03 ± 0.1 mM, V _max of 3.2 ± 1.1 μmol/min/mg, and k _cat of 1.7 ± 0.6 s^?1. Our study demonstrates that APH(6)-Id is a bona fide streptomycin phosphotransferase, functions as a monomer, and confers resistance to streptomycin.     

Essential Role of the ε Subunit for Reversible Chemo-Mechanical Coupling in F1-ATPase

F₁-ATPase is a rotary motor protein driven by ATP hydrolysis. Among molecular motors, F₁ exhibits unique high reversibility in chemo-mechanical coupling, synthesizing ATP from ADP and inorganic phosphate upon forcible rotor reversal. The ε subunit enhances ATP synthesis coupling efficiency to > 70% upon rotation reversal. However, the detailed mechanism has remained elusive. In this study, we performed stall-and-release experiments to elucidate how the ε subunit modulates ATP association/dissociation and hydrolysis/synthesis process kinetics and thermodynamics, key reaction steps for efficient ATP synthesis. The ε subunit significantly accelerated the rates of ATP dissociation and synthesis by two- to fivefold, whereas those of ATP binding and hydrolysis were not enhanced. Numerical analysis based on the determined kinetic parameters quantitatively reproduced previous findings of two- to fivefold coupling efficiency improvement by the ε subunit at the condition exhibiting the maximum ATP synthesis activity, a physiological role of F₁-ATPase. Furthermore, fundamentally similar results were obtained upon ε subunit C-terminal domain truncation, suggesting that the N-terminal domain is responsible for the rate enhancement.     

Structural analyses of nucleotide binding to an aminoglycoside phosphotransferase

3',5"-Aminoglycoside phosphotransferase type IIIa [APH(3')-IIIa] is a bacterial enzyme that confers resistance to a range of aminoglycoside antibiotics while exhibiting striking homology to eukaryotic protein kinases (ePK). The structures of APH(3')-IIIa in its apoenzyme form and in complex with the nonhydrolyzable ATP analogue AMPPNP were determined to 3.2 and 2.4 A resolution, respectively. Furthermore, refinement of the previously determined ADP complex was completed. The structure of the apoenzyme revealed alternate positioning of a flexible loop (analogous to the P-loop of ePK's), occupying part of the nucleotide-binding pocket of the enzyme. Despite structural similarity to protein kinases, there was no evidence of domain movement associated with nucleotide binding. This rigidity is due to the presence of more extensive interlobe interactions in the APH(3')-IIIa structure than in the ePK's. Differences between the ADP and AMPPNP complexes are confined to the area of the nucleotide-binding pocket. The position of conserved active site residues and magnesium ions remains unchanged, but there are differences in metal coordination between the two nucleotide complexes. Comparison of the di/triphosphate binding site of APH(3')-IIIa with that of ePK's suggests that the reaction mechanism of APH(3")-IIIa and related aminoglycoside kinases will closely resemble that of eukaryotic protein kinases. However, the orientation of the adenine ring in the binding pocket differs between APH(3')-IIIa and the ePK's by a rotation of approximately 40 degrees. This alternate binding mode is likely a conserved feature among aminoglycoside kinases and could be exploited for the structure-based drug design of compounds to combat antibiotic resistance.     

Receptor-mediated substrate translocation through the nuclear pore complex without nucleotide triphosphate hydrolysis

Background: The transport of macromolecules between the nucleus and cytoplasm is an energy-dependent process. Substrates are translocated across the nuclear envelope through nuclear pore complexes (NPCs). Translocation requires nucleocytoplasmic transport receptors of the importin β family, which interact both with the NPC and, either directly or via an adaptor, with the transport substrate. Although certain receptors have recently been shown to cross the NPC in an energy-independent manner, translocation of substrate–receptor complexes through the NPC has generally been regarded as an energy-requiring step.Results: We describe an in vitro system that is based on permeabilised cells and supports nuclear export mediated by leucine-rich nuclear export signals. In this system, export is dependent on exogenous CRM1/Exportin1 – a nuclear export receptor – the GTPase Ran and nucleotide triphosphates (NTPs), and is further stimulated by Ran-binding protein 1 (RanBP1) and nuclear transport factor 2 (NTF2). Unexpectedly, non-hydrolysable NTP analogues completely satisfy the NTP requirements for a single-round of CRM1-mediated translocation of protein substrates across the NPC. Similarly, single transportin-mediated nuclear protein import events are shown not to require hydrolysable NTPs and to occur in the absence of the Ran GTPase.Conclusions: Our data show that, contrary to expectation and prior conclusions, the translocation of substrate–receptor complexes across the NPC in either direction occurs in the absence of NTP hydrolysis and is thus energy independent. The energy needed to drive substrate transport against a concentration gradient is supplied at the step of receptor recycling in the cytoplasm.     

Modes of modifier action in E. coli aspartate transcarbamylase

The observed patterns for inhibition by CTP and succinate of equilibrium exchange kinetics with native aspartate transcarbamylase (E. coli) are consistent with an ordered substrate-binding system in which aspartate binds after carbamyl phosphate, and phosphate is released after carbamyl aspartate. ATP selectively stimulates Asp carbamyl-Asp exchange, but not carbamyl phosphate P_i. Initial velocity studies at 5 °, 15 °, and 35 °C were carried out, using modifiers as perturbants of the system. Modifiers alter the Hill n and S_0.5 for aspartate, most markedly at 15 °C but less so at the other temperatures. ATP does increase V under saturating substrate conditions, and substrate inhibition is observed for aspartate. ATP does not make the Hill n = 1 at any temperature. It is proposed that CTP and ATP act by separate mechanisms, not by simply perturbing in opposite directions the equilibrium for aspartate binding. ATP appears to act to increase the rate of aspartate association and dissociation, whereas CTP induces an intramolecular competitive effect in the protein.     

Thermodynamic Analyses of Nucleotide Binding to an Isolated Monomeric β Subunit and the α3β3γ Subcomplex of F1-ATPase

Rotation of the γ subunit of the F₁-ATPase plays an essential role in energy transduction by F₁-ATPase. Hydrolysis of an ATP molecule induces a 120° step rotation that consists of an 80° substep and 40° substep. ATP binding together with ADP release causes the first 80° step rotation. Thus, nucleotide binding is very important for rotation and energy transduction by F₁-ATPase. In this study, we introduced a βY341W mutation as an optical probe for nucleotide binding to catalytic sites, and a βE190Q mutation that suppresses the hydrolysis of nucleoside triphosphate (NTP). Using a mutant monomeric βY341W subunit and a mutant α₃β₃γ subcomplex containing the βY341W mutation with or without an additional βE190Q mutation, we examined the binding of various NTPs (i.e., ATP, GTP, and ITP) and nucleoside diphosphates (NDPs, i.e., ADP, GDP, and IDP). The affinity (1/K_d) of the nucleotides for the isolated β subunit and third catalytic site in the subcomplex was in the order ATP/ADP > GTP/GDP > ITP/IDP. We performed van’t Hoff analyses to obtain the thermodynamic parameters of nucleotide binding. For the isolated β subunit, NDPs and NTPs with the same base moiety exhibited similar ΔH⁰ and ΔG⁰ values at 25°C. The binding of nucleotides with different bases to the isolated β subunit resulted in different entropy changes. Interestingly, NDP binding to the α₃β(Y341W)₃γ subcomplex had similar K_d and ΔG⁰ values as binding to the isolated β(Y341W) subunit, but the contributions of the enthalpy term and the entropy term were very different. We discuss these results in terms of the change in the tightness of the subunit packing, which reduces the excluded volume between subunits and increases water entropy.