Rational design of enantioselective enzymes requires considerations of entropy

Entropy was shown to play an equally important role as enthalpy for how enantioselectivity changes when redesigning an enzyme. By studying the temperature dependence of the enantiomeric ratio E of an enantioselective enzyme, its differential activation enthalpy (Delta(R-S)DeltaH(++)) and entropy (Delta(R-S)DeltaS(++)) components can be determined. This was done for the resolution of 3-methyl-2-butanol catalyzed by Candida antarctica lipase B and five variants with one or two point mutations. Delta(R-S)DeltaS(++) was in all cases equally significant as Delta(R-S)DeltaH(++) to E. One variant, T103G, displayed an increase in E, the others a decrease. The altered enantioselectivities of the variants were all related to simultaneous changes in Delta(R-S)DeltaH(++) and Delta(R-S)DeltaS(++). Although the changes in Delta(R-S)DeltaH(++) and Delta(R-S)DeltaS(++) were of a compensatory nature the compensation was not perfect, thereby allowing modifications of E. Both the W104H and the T103G variants displayed larger Delta(R-S)DeltaH(++) than wild type but exhibited a decrease or increase, respectively, in E due to their different relative increase in Delta(R-S)DeltaS(++).     

Quantification and characterization of P-glycoprotein-substrate interactions

It is generally accepted that P-glycoprotein binds its substrates in the lipid phase of the membrane. Quantification and characterization of the lipid-transporter binding step are, however, still a matter of debate. We therefore selected 15 structurally diverse drugs and measured the binding constants from water to the activating (inhibitory) binding region of P-glycoprotein, K(tw(1)) (K(tw(2))), as well as the lipid-water partition coefficients, K(lw). The former were obtained by measuring the concentrations of half-maximum activation (inhibition), K(1) (K(2)), in living NIH-MDR-G185 mouse embryo fibroblasts using a Cytosensor microphysiometer, and the latter were derived from surface activity measurements. This allowed determination of the membrane concentration of drugs at half-maximum P-glycoprotein activation (C(b(1)) = (0.02 to 67) mmol/L lipid), which is much higher than the corresponding aqueous concentration (K(1) = (0.02 to 376) microM). Moreover we determined the free energy of drug binding from water to the activating binding region of the transporter (DeltaG degrees (tw(1)) = (-30 to -54) kJ/mol), the free energy of drug partitioning into the lipid membrane (DeltaG degrees (lw) = (-23 to -34) kJ/mol), and, as the difference of the two, the free energy of drug binding from the lipid membrane to the activating binding region of the transporter (DeltaG degrees (tl(1)) = (-7 to -27) kJ/mol). For the compounds tested DeltaG degrees (tl(1)) was less negative than DeltaG degrees (lw) but varied more strongly. The free energies of substrate binding to the transporter within the lipid phase, DeltaG degrees (tl(1)), are consistent with a modular binding concept, where the energetically most efficient binding module comprises two hydrogen bond acceptor groups.     

Proximity of bound Hoechst 33342 to the ATPase catalytic sites places the drug binding site of P-glycoprotein within the cytoplasmic membrane leaflet

The P-glycoprotein multidrug transporter carries out ATP-driven cellular efflux of a wide variety of hydrophobic drugs, natural products, and peptides. Multiple binding sites for substrates appear to exist, most likely within the hydrophobic membrane spanning regions of the protein. Since ATP hydrolysis is coupled to drug transport, the spatial relationship of the drug binding sites relative to the ATPase catalytic sites is of considerable interest. We have used a fluorescence resonance energy transfer (FRET) approach to estimate the distance between a bound substrate and the catalytic sites in purified P-glycoprotein. The fluorescent dye Hoechst 33342 (H33342), a high-affinity P-glycoprotein substrate, bound to the transporter and acted as a FRET donor. H33342 showed greatly enhanced fluorescence emission when bound to P-glycoprotein, together with a substantial blue shift, indicating that the drug binding site is located in a nonpolar environment. Cys428 and Cys1071 within the catalytic sites of P-glycoprotein were covalently labeled with the acceptor fluorophore NBD-Cl (7-chloro-4-nitrobenz-2-oxa-1,3-diazole). H33342 fluorescence was highly quenched when bound to NBD-labeled P-glycoprotein relative to unlabeled protein, indicating that FRET takes place from the bound dye to NBD. The distance separating the bound dye from the NBD acceptor was estimated to be approximately 38 A. Transition-state P-glycoprotein with the complex ADP*orthovanadate*Co2+ stably trapped at one catalytic site bound H33342 with similar affinity, and FRET measurements led to a similar separation distance estimate of 34 A. Since previous FRET studies indicated that a fluorophore bound within the catalytic site was positioned 31-35 A from the interfacial region of the bilayer, the H33342 binding site is likely located 10-14 A below the membrane surface, within the cytoplasmic leaflet of the membrane, in both resting-state and transition-state P-glycoprotein.     

Expression of the human multidrug resistance cDNA in insect cells generates a high activity drug-stimulated membrane ATPase.

Drug-resistant tumor cells actively extrude a variety of chemotherapeutic agents by the action of the multi-drug resistance (MDR1) gene product, the plasma membrane P-glycoprotein. In this report we show that the expression of the human MDR1 gene in cultured Sf9 insect cells via a baculovirus vector generates a high activity vanadate-sensitive membrane ATPase. This ATPase is markedly stimulated by drugs known to interact with the P-glycoprotein, such as vinblastine and verapamil, and the ability of the various drugs to stimulate the ATPase corresponds to their previously observed affinity for this transporter. The drug-stimulated ATPase is not present in uninfected or mock-infected Sf9 cells, and its appearance correlates with the appearance of the MDR1 gene product detected with a monoclonal anti-MDR protein antibody and by labeling with 8-azido-ATP. The drug-induced ATPase requires magnesium ions, does not utilize ADP or AMP as substrates, exhibits a half-maximal activation at about 0.5 mM MgATP, and its maximal activity (about 3-5 mumol/mg MDR protein/min) approaches that of the well characterized ion transport ATPases. These results provide the first direct demonstration of a high capacity drug-stimulated ATPase activity of the human multidrug resistance protein and offer a new and simple assay for the investigation of functional interactions of various drugs with this clinically important enzyme.     

P-Glycoprotein kinetics measured in plasma membrane vesicles and living cells

P-glycoprotein (MDR1, ABCB1) is an ATP-dependent efflux transporter of a large variety of compounds. To understand P-glycoprotein in more detail, it is important to elucidate its activity in the cellular ensemble as well as in plasma membrane vesicles (under conditions where other ATP dependent proteins are blocked). We measured P-glycoprotein activity in inside-out vesicles formed from plasma membranes of MDR1-transfected mouse embryo fibroblasts (NIH-MDR1-G185) for comparison with previous measurements of P-glycoprotein activity in living NIH-MDR1-G185 cells. In plasma membrane vesicles activity was measured by monitoring phosphate release upon ATP hydrolysis and in living cells by monitoring the extracellular acidification rate upon ATP synthesis via glycolysis. P-glycoprotein was stimulated as a function of the concentration with 19 structurally different drugs, including local anesthetics, cyclic peptides, and cytotoxic drugs. The concentrations of half-maximum P-glycoprotein activation, K1, were identical in inside-out plasma membrane vesicles and in living cells and covered a broad range of concentrations (K1 approximately (10(-8)-10(-3)) M). The influence of the pH, drug association, and vesicle aggregation on the concentration of half-maximum P-glycoprotein activation was investigated. The turnover numbers in plasma membrane vesicles and in living cells were also approximately identical if the latter were measured in the presence of pyruvate. However, in the absence of pyruvate they were higher in living cells. The rate of ATP hydrolysis/ATP synthesis decreased exponentially with decreasing free energy of drug binding from water to the transporter, DeltaG0(tw)(1) (or increasing binding affinity). This suggests that drug release from the transmembrane domains has to occur before ATP is hydrolyzed for resetting the transporter.     

Co-operating ATP sites in the multiple drug resistance transporter Mdr1.

The ATPase activity of the multiple drug resistance transporter Mdr1 (P-glycoprotein, gp170) depended on the concentration of ATP with both positive and negative co-operativity both in the absence and in the presence of verapamil. Four co-operating binding sites for ATP were required to adequately model the experimental findings. The activation energy for the ATPase activity increased from approximately 385 kJ x mol-1 at 10 microM ATP to 512 kJ x mol-1 at 1600 microM, while changes in verapamil concentration had little effect. This indicates that the reaction mechanism of ATP hydrolysis depends on ATP concentration and is further evidence for co-operation of ATP binding sites. Free ATP in higher concentration was inhibitory; however, this inhibition could be reduced by complexing the ATP with Mg2+. Free Mg2+ had little effect on Mdr1 apart from complexing ATP.     

Characterization and functional reconstitution of the multidrug transporter

P-Glycoprotein, the multidrug transporter, is isolated from the plasma membrane of CH^RC5 cells using a selective two-step detergent extraction procedure. The partially purified protein displays a high level of ATPase activity, which has a highK _M for ATP, is stimulated by drugs, and can be distinguished from that of other membrane ATPases by its unique inhibition profile. Delipidation completely inactivates ATPase activity, which is restored by the addition of fluid lipid mixtures. P-Glycoprotein was reconstituted into lipid bilayers with retention of both drug transport and ATPase activity. Proteoliposomes containing P-glycoprotein display osmotically sensitive ATP-dependent accumulation of³H-colchicine in the vesicle lumen. Drug transport is active, generating a stable 5.6-fold concentration gradient, and can be blocked by compounds in the multidrug resistance spectrum. Reconstituted P-glycoprotein also exhibits a high level of ATPase activity which is further stimulated by various drugs. P-Glycoprotein therefore functions as an active drug transporter with constitutive ATPase activity.     

Thermodynamics of insertion and self-association of a transmembrane helix: a lipophobic interaction by phosphatidylethanolamine

Thermodynamic parameters for the insertion and self-association of transmembrane helices are important for understanding the folding of helical membrane proteins. The lipid composition of bilayers would significantly affect these fundamental processes, although how is not well understood. Experimental systems using model transmembrane helices and lipid bilayers are useful for measuring and interpreting thermodynamic parameters (ΔG, ΔH, ΔS, and ΔC(p)) for the processes. In this study, the effect of the charge, phase, acyl chain unsaturation, and lateral pressure profile of bilayers on the membrane partitioning of the transmembrane helix (AALALAA)(3) was examined. Furthermore, the effect of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylethanolamine (POPE) on the thermodynamics for insertion and self-association of the helix in host membranes composed of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylcholine (POPC) was investigated in detail. Interbilayer transfer of the helix monomer from POPC to POPC/POPE (1/1) bilayers was unfavorable (ΔG = +4.5 ± 2.9 kJ mol(-1) at 35 °C) due to an increase in enthalpy (ΔH = +31.1 ± 2.1 kJ mol(-1)). On the other hand, antiparallel dimerization of the helices in POPC/POPE (1/1) bilayers was enhanced compared with that in POPC bilayers (ΔΔG = -4.9 ± 0.2 kJ mol(-1) at 35 °C) due to a decrease in enthalpy (ΔΔH = -33.2 ± 1.5 kJ mol(-1)). A greater thickness of POPC/POPE bilayers only partially explained the observed effects. The residual effects could be related to changes in other physical properties such as higher lateral pressure in the hydrocarbon core in the PE-containing membrane. The origin of the enthalpy-driven "lipophobic" force that modulates the insertion and association of transmembrane helices will be discussed.     

The membrane lipid environment modulates drug interactions with the P-glycoprotein multidrug transporter.

The P-glycoprotein multidrug transporter functions as an ATP-driven efflux pump for a large number of structurally unrelated hydrophobic compounds. Substrates are believed to gain access to the transporter after partitioning into the membrane, rather than from the extracellular aqueous phase. The binding of drug substrates to P-glycoprotein may thus be modulated by the properties of the lipid bilayer. The interactions with P-glycoprotein of two drugs (vinblastine and daunorubicin) and a chemosensitizer (verapamil) were characterized by quenching of purified fluorescently labeled protein in the presence of various phospholipids. Biphasic quench curves were observed for vinblastine and verapamil, suggesting that more than one molecule of these compounds may bind to the transporter simultaneously. All three drugs bound to P-glycoprotein with substantially higher affinity in egg phosphatidylcholine (PC), compared to brain phosphatidylserine (PS) and egg phosphatidylethanolamine (PE). The nature of the lipid acyl chains also modulated binding, with affinity decreasing in the order egg PC > dimyristoyl-PC (DMPC) > dipalmitoyl-PC (DPPC). Following reconstitution of the transporter into DMPC, all three compounds bound to P-glycoprotein with 2-4-fold higher affinity in gel phase lipid relative to liquid-crystalline phase lipid. The P-glycoprotein ATPase stimulation/inhibition profiles for the drugs were also altered in different lipids, in a manner consistent with the observed changes in binding affinity. The ability of the drugs to partition into bilayers of phosphatidylcholines was determined. All of the drugs partitioned much better into egg PC relative to DMPC and DPPC. The binding affinity increased (i.e., the value of Kd decreased) as the drug-lipid partition coefficient increased, supporting the proposal that the effective concentration of the drug substrate in the membrane is important for interaction with the transporter. These results provide support for the vacuum cleaner model of P-glycoprotein action.     

Purification, and properties of a bovine uricase

Uricase from bovine kidney, purified to homogeneity level, had a molecular weight of 70 kDa. The apparent K(m) and V(max) values for uric acid hydrolysis were 0.125 mM and 102 IU mg(-1) protein respectively. The activation energy requirement for uric acid hydrolysis by uricase and inactivation of enzyme were 11.6 and 14.5 kJ/M respectively. Both enthalpy (Delta H*) and entropy of activation (Delta S*) for uricase activity were lower than those reported for some thermostable enzymes.     

Homogeneous assay based on 52 primer sets to scan for mutations of the ABCA1 gene and its application in genetic analysis of a new patient with familial high-density lipoprotein deficiency syndrome

We have applied the transition state theory of Eyring et al. (The Theory of Rate Processes, McGraw-Hill, 1941) to water transport across cell membranes. We have then evaluated free energy (Delta F(not equal)), enthalpy (Delta H(not equal)) and entropy (Delta S(not equal)) of activation for water permeation across membranes, such as Arbacia eggs, Xenopus oocytes with or without aquaporin water channels, mammalian erythrocytes, aquaporin proteoliposomes, liposomes and collodion membrane. Delta H(not equal) was found to be correlated with Delta S(not equal). This is so-called Delta H(not equal) and Delta S(not equal) compensation over the ranges of Delta H(not equal) and Delta S(not equal) from 2 to 22 kcal/mol and from -26 to 45 e.u., respectively, indicating that low Delta H(not equal) values correspond to negative Delta S(not equal). Large positive Delta S(not equal) and high Delta H(not equal) values might be accompanied by reversible breakage of secondary bonds in the membrane, presumably in membrane lipid bilayer. Largely negative Delta S(not equal) and low Delta H(not equal) values for aquaporin water channels, aquaporin proteoliposomes and porous collodion membrane could be explained by the immobilization of permeating water molecules in the membrane, i.e., the partial loss of rotational and/or translational freedoms of water molecules in water channels.     

Entropy drives integrin alphaIIbbeta3:echistatin binding--evidence from surface plasmon resonance spectroscopy.

This investigation examined the molecular mechanisms that enable the alphaIIbbeta3 integrin to bind efficiently, tightly, and selectively to echistatin, an RGD disintegrin. We used surface plasmon resonance spectroscopy to measure the rate, extent, and stability of complexes formed between micellar alphaIIbbeta3 and recombinant echistatin (rEch) mutants, immobilized on the surface of a biosensor chip. alphaIIbbeta3 bound readily and tightly to wild-type RGD-rEch and RGDF-rEch but not to RGA-rEch or AGD-rEch, demonstrating that both of those charged moieties contribute to integrin recognition. van't Hoff analysis of the temperature dependence of the RGD-rEch K d data yielded an unfavorable enthalpy change, Delta H degrees = 14 +/- 3 kcal/mol, offset by a favorable entropy term, TDelta S degrees = 23 +/- 3 kcal/mol. Eyring analysis of the temperature dependence of the kinetic parameters yielded Delta H a degrees (++) = 9 +/- 2 kcal/mol and TDelta S a degrees (++) = -4 +/- 2 kcal/mol, indicating that a substantial activation enthalpy barrier and a smaller activation entropy hinder assembly of the encounter complex. Thus, equilibrium thermodynamic data demonstrate that entropy is the dominant factor stabilizing integrin:echistatin binding, while transition-state thermodynamic parameters indicate that the rate of complex formation is enthalpy-limited. When electrostatic contacts are the major source of receptor:ligand stability, theory and experiment indicate that entropy-favorable ion-pair desolvation often provides the driving force for molecular recognition.     

Membrane Adenosine Triphosphatase of Escherichia coli: Activation by Calcium Ion and Inhibition by Monovalent Cations

Membrane ghost preparations of Escherichia coli K-12 obtained by osmotic lysis of lysozyme-induced spheroplasts were found to possess both Mg(++)- and Ca(++)-activated adenosine 5'-triphosphatase (ATPase, EC 3.6.1.3) activities. Maximal activities of 1.0 to 1.5 mumoles of orthophosphate released per min per mg of protein were obtained at pH 9.0 with a molar Mg(++) to adenosine 5'triphosphate (ATP) ratio of 2:5 and at pH 9.9 with a molar Ca(++) to ATP ratio of 1:5. These ATPase activities were not altered by ouabain, fluoride, N-ethylmaleimide, 2,4-dinitrophenol, cyanide, or dithionite, but were inhibited by low concentrations of azide, p-chloromercuribenzoate, and pentachlorophenol. Mg(++) ATPase was more susceptible to inhibition by azide than was Ca(++) ATPase. Fifty per cent inactivation of both activities was observed when membrane ghost preparations were preincubated at 66 C for 10 min. The Mg(++) and Ca(++) ATPase activities of these preparations were not additive, but did respond independently to inhibition by monovalent cations. Ca(++) ATPase was found to be very sensitive to inhibition by K(+), Na(+), Li(+), Rb(+), and Cs(+); Mg(++) ATPase was relatively insensitive to these ions. One possible interpretation of the results presented in this paper is that the membrane of E. coli possesses an ATPase which is activated by either Mg(++) or Ca(++) and that activation by Ca(++) increases the susceptibility of this enzyme to inhibition by monovalent cations. Increased susceptibility of E. coli membrane ATPase to inhibition by monovalent cations such as Na(+) and K(+) as a consequence of Ca(++) activation could represent a regulatory mechanism.     

Thermodynamic analysis of the interaction of factor VIII with von Willebrand factor

Factor VIII (FVIII) is a glycoprotein that plays an important role in the intrinsic pathway of coagulation. In circulation, FVIII is protected upon binding to von Willebrand factor (VWF), a chaperone molecule that regulates its half-life, distribution, and activity. Despite the biological significance of this interaction, its molecular mechanisms are not fully characterized. We determined the equilibrium and activation thermodynamics of the interaction between FVIII and VWF. The equilibrium affinity determined by surface plasmon resonance was temperature-dependent with a value of 0.8 nM at 35 °C. The FVIII-VWF interaction was characterized by very fast association (8.56 × 10(6) M(-1) s(-1)) and fast dissociation (6.89 × 10(-3) s(-1)) rates. Both the equilibrium association and association rate constants, but not the dissociation rate constant, were dependent on temperature. Binding of FVIII to VWF was characterized by favorable changes in the equilibrium and activation entropy (TΔS° = 89.4 kJ/mol, and -TΔS(++) = -8.9 kJ/mol) and unfavorable changes in the equilibrium and activation enthalpy (ΔH° = 39.1 kJ/mol, and ΔH(++) = 44.1 kJ/mol), yielding a negative change in the equilibrium Gibbs energy. Binding of FVIII to VWF in solid-phase assays demonstrated a high sensitivity to acidic pH and a sensitivity to ionic strength. Our data indicate that the interaction between FVIII and VWF is mediated mainly by electrostatic forces, and that it is not accompanied by entropic constraints, suggesting the absence of conformational adaptation but the presence of rigid "pre-optimized" binding surfaces.     

Kinetic parameters for the uptake of anthracycline by drug-resistant and drug-sensitive K562 cells.

Fluorescence-emission spectra from anthracycline-treated cells suspended in buffer have been used to measure the uptake of three anthracycline derivatives: adriamycin, 4'-O-tetrahydropyranyladriamycin and aclacinomycin in drug-sensitive and drug-resistant K562 cells. The initial rate of uptake and the kinetics of active efflux under the effect of an integral membrane glycoprotein, P-glycoprotein, have been measured as a function of temperature. The activation energies for the passage of the drugs through the plasma membrane have been calculated. In the case of 4'-O-tetrahydropyranyladriamycin, the activation energies for the passive diffusion of the drug equal 45 kJ.mol-1 and 37 kJ.mol-1 for sensitive and resistant cells, respectively. The activation energy for the active efflux of 4'-O-tetrahydropyranyladriamycin equal 25 kJ.mol-1.     

Temperature dependence of mammalian muscle contractions and ATPase activities

Isolated rat and mouse extensor digitorum longus (EDL) and soleus muscles were studied under isometric and isotonic conditions at temperatures from approximately 8 degrees -38 degrees C. The rate constant for the exponential rise of tension during an isometric tetanus had a Q10 of approximately 2.5 for all muscles (corresponding to an enthalpy of activation, delta H = 66 kJ/mol, if the rate was determined by a single chemical reaction). The half-contraction time, contraction time, and maximum rate of rise for tension in an isometric twitch and the maximum shortening velocity in an isotonic contraction all had a similar temperature dependence (i.e., delta H approximately 66 kJ/mol). The Mg++ ATPase rates of myofibrils prepared from rat EDL and soleus muscles had a steeper temperature dependence (delta H = 130 kJ/mol), but absolute rates at 20 degrees C were lower than the rate of rise of tension. This suggests that the Mg++ ATPase cycle rate is not limiting for force generation. A substantial fraction of cross-bridges may exist in a resting state that converts to the force-producing state at a rate faster than required to complete the cycle and repopulate the resting state. The temperature dependence for the rate constant of the exponential decay of tension during an isometric twitch or short tetanus (and the half-fall time of a twitch) had a break point at approximately 20 degrees C, with apparent enthalpy values of delta H = 117 kJ/mol below 20 degrees C and delta H = 70 kJ/mol above 20 degrees C. The break point and the values of delta H at high and low temperatures agree closely with published values for the delta H of the sarcoplasmic reticulum (SR) Ca++ ATPase. Thus, the temperature dependence for the relaxation rate of a twitch or a short tetanus is consistent with that for the reabsorption rate of Ca++ into the SR.     

New Insights into the Drug Binding,Transport and Lipid Flippase Activities of the P-Glycoprotein Multidrug Transporter

The MDR1 P-glycoprotein, an ATP-binding cassette (ABC) superfamily member that functions as an ATP-driven drug efflux pump, has been linked to resistance of human tumors to multiple chemotherapeutic agents. P-glycoprotein binds and actively transports a large variety of hydrophobic drugs and peptides. P-glycoprotein in reconstituted proteoliposomes is also an outwardly directed flippase for membrane phospholipids and simple glycosphinglipids. This review focuses on recent advances in our understanding of P-glycoprotein structure and function, particularly through the use of fluorescence spectroscopic approaches. Progress is being made towards understanding the structure of the transporter, especially the spatial relationship between the two nucleotide-binding domains. Exploration of the P-glycoprotein catalytic cycle using vanadate-trapped complexes has revealed that drug transport likely takes place by concerted conformational changes linked to relaxation of a high energy intermediate. Low resolution mapping of the protein using fluorescence resonance energy transfer showed that both the H and R drug-binding sites are located within the cytoplasmic leaflet. Two drugs can bind to the R-site simultaneously, suggesting that the protein contains a large flexible binding region.     

Thermodynamics of the Ca2+ binding to bovine alpha-lactalbumin

Bovine alpha-lactalbumin contains one strong Ca2+-binding site. The free energy (delta G0), enthalpy (delta H0), and entropy (delta S0) of binding of Ca2+ to this site have been calculated from microcalorimetric experiments. The enthalpy of binding was dependent on the metal-free bovine alpha-lactalbumin concentration. At 0.8 mg ml-1, metal-free bovine alpha-lactalbumin delta H0 was -110 +/- 6 kJ mol-1. At this concentration the binding constant was estimated from a mathematical analysis of the titration curves to be greater than 10(7) M-1. This means that delta G0 is smaller than -40 kJ mol-1 and delta S0 is less negative than -235 J.K-1 mol-1. The binding of Ca2+ is therefore enthalpy-driven. From binding experiments as a function of temperature, a delta Cp value of -4.1 kJ.K-1 mol-1 was calculated. This value is dependent on the protein concentration. A tentative explanation for this large value is given.     

An investigation of the equilibria between aqueous ribose, ribulose, and arabinose

The thermodynamics of the equilibria between aqueous ribose, ribulose, and arabinose were investigated using high-pressure liquid chromatography and microcalorimetry. The reactions were carried out in aqueous phosphate buffer over the pH range 6.8-7.4 and over the temperature range 313.15-343.75 K using solubilized glucose isomerase with either Mg(NO3)2 or MgSO4 as cofactors. The equilibrium constants (K) and the standard state Gibbs energy (delta G degrees) and enthalpy (delta H degrees) changes at 298.15 K for the three equilibria investigated were found to be: ribose(aq) = ribulose(aq) K = 0.317, delta G degrees = 2.85 +/- 0.14 kJ mol-1, delta H degrees = 11.0 +/- 1.5 kJ mol-1; ribose(aq) = arabinose(aq) K = 4.00, delta G degrees = -3.44 +/- 0.30 kJ mol-1, delta H degrees = -9.8 +/- 3.0 kJ mol-1; ribulose(aq) = arabinose(aq) K = 12.6, delta G degrees = -6.29 +/- 0.34 kJ mol-1, delta H degrees = -20.75 +/- 3.4 kJ mol-1. Information on rates of the above reactions was also obtained. The temperature dependencies of the equilibrium constants are conveniently expressed as R in K = -delta G degrees 298.15/298.15 + delta H degrees 298.15[(1/298.15)-(1/T)] where R is the gas constant (8.31441 J mol-1 K-1) and T the thermodynamic temperature.