Enthalpy and Entropy in Enzyme Catalysis A Study of Lipase Enantioselectivity Jenny Ottosson Department of Biotechnology Royal Institute of Technology Stockholm, Sweden 2001 Cover: Positions of the heavy atoms of (R)-3-hexanol in a 500 ps molecular dynamics simulation. The oxygen atom is colored black. The chiral carbon is colored yellow and the other carbons red, blue and green. © Jenny Ottosson Printed at Universitetsservice US AB, Stockholm, Sweden, 2001 ISBN 91-7283-157-X Jenny Ottosson (2001): Enthalpy and entropy in enzyme catalysis - A study of lipase enantioselectivity. Department of Biotechnology, Royal Institute of Technology, KTH, Stockholm, Sweden. ISBN 91-7283-157-X Abstract Biocatalysis has become a popular technique in organic synthesis due to high activity and selectivity of enzyme catalyzed reactions. Enantioselectivity is a particularly attractive enzyme property, which is utilized for the production of enantiopure substances. Determination of the temperature dependence of enzyme enantioselectivity allows for thermodynamic analyses that reveal the contribution of differential activation enthalpy, DR-SDH‡, and entropy, DR-SDS‡. In the present investigation the influence of substrate structure, variations on enzyme structure and of reaction media on the enantioselectivity of Candida antarctica lipase B has been studied. The contribution of enthalpy, DR-SDH‡, and entropy, TDR-SDS‡, to the differential free energy, DR-SDG‡, of kinetic resolutions of sec-alcohols were of similar magnitude. Generally the two terms were counteracting, meaning that the enantiomer favored by enthalpy was disfavored by entropy. 3-Hexanol was an exception where the preferred enantiomer was favored both by enthalpy and by entropy. Resolution of 1-bromo-2-butanol revealed non-steric interactions to influence both DR-SDH‡ and DR-SDS‡. Molecular modeling of the spatial freedom of the enzyme-substrate transition state indicated correlation to the transition state entropy. The acyl chain length was shown to affect enantioselectivity in transesterifications of a sec-alcohol. Point mutations in the active site were found to decrease or increase enantioselectivity. The changes were caused by partly compensatory changes in both DR-SDH‡ and DR-SDS‡. Studies on single and double mutation variants showed that the observed changes were not additive. Enantioselectivity was strongly affected by the reaction media. Transesterifications of a sec-alcohol catalyzed by Candida antarctica lipase B was studied in eight liquid organic solvents and supercritical carbon dioxide. A correlation of enantioselectivity and the molecular volume of the solvent was found. Differential activation enthalpy, DR-SDH‡, and entropy, DR-SDS‡, display a compensatory nature. However this compensation is not perfect, which allows for modifications of enantioselectivity. The components of the thermodynamic parameters are highly complex and interdependent but if their roles are elucidated rational design of enantioselective enzymatic processes may be possible. Keywords: Biocatalysis, enzyme catalysis, Candida antarctica lipase B, enantioselectivity, enthalpy, entropy, CALB, enantiomeric ratio © Jenny Ottosson, 2001 Sammanfattning Biokatalys har blivit en populär teknik inom organisk syntes på grund av enzymkatalyserade reaktioners höga aktivitet och selektivitet. Enantioselektivitet är en speciellt attraktiv egenskap hos enzymer som utnyttjas för produktion av enantiomert rena substanser. Enantioselektivitetens temperaturberoende möjliggör termodynamisk analys av bidragen från differentiell aktiveringsentalpi, ∆R-S∆H‡, och aktiveringsentropi, ∆R-S∆S‡. I denna undersökning har inverkan av substratstruktur, variationer i enzymstruktur och reaktionsmediet på enantioselektiviteten för Candida antarctica lipas B studerats. Bidrag från entalpi, ∆R-S∆H‡, och entropi, T∆R-S∆S‡, till den differentiella fria aktiveringsenergin, ∆R-S∆G‡, för kinetiska resolveringar av sekundära alkoholer visades vara i samma storleksordning. Generellt var de båda termerna motverkande, det vill säga att den enantiomer som var gynnad av entalpi var missgynnad av entropi. 3-Hexanol var ett undantag, där den enantiomer som enzymet föredrog var gynnad både entalpiskt och entropiskt. Resolvering av 1-bromo-2-butanol visade att icke-steriska interaktioner påverkade både ∆R-S∆H‡ och ∆R-S∆S‡. Molekylmodellering av övergångstillståndet för enzym-substrat komplexet visade på en korrelation mellan spatiell frihet och entropin för övergångstillståndet. Acylkedjans längd påverkade enantioselektiviteten för sekundära alkoholer. Punktmutationer i enzymets aktiva centrum visades kunna öka eller minska enantioselektiviteten. Förändringarna orsakades av ändringar i både ∆R-S∆H‡ och ∆R-S∆S‡ som delvis uppvägde varandra. Studier av varianter med enkel- och dubbelmutationer visade att de observerade förändringarna inte var additiva. Reaktionsmediet påverkade starkt enantioselektiviteten. Transförestring av en sekundär alkohol katalyserad av Candida antarctica lipas B studerades i åtta vätskeformade organiska lösningsmedel och superkritisk koldioxid. En korrelation mellan enantioselektivitet och lösningsmedlets molekylära volym upptäcktes. Differentiell aktiveringsentalpi, ∆R-S∆H‡, och entropi, ∆R-S∆S‡, påvisar ett kompensativt förhållande. Denna kompensation är dock inte perfekt, vilket möjliggör förändringar av enantioselektivitet. De termodynamiska parametrarnas komponenter är mycket komplexa och beroende av varandra, men om deras roller klargörs kan rationell design av enantioselektiva enzymatiska processer bli möjliga. To my parents List of papers This thesis is based on the following publications, which in the text will be referred to by their roman numerals. I Overbeeke P. L. A., Ottosson J., Hult K., Jongejan J. A., and Duine J. A. The temperature dependence of enzymatic kinetic resolutions reveals the relative contribution of enthalpy and entropy to enzymatic enantioselectivity. Biocatal. Biotransform. 17 (1999) 61-79 II Ottosson J., and Hult K. Influence of the acyl chain length on the enantioselectivity of Candida antarctica lipase B and its thermodynamic components in kinetic resolution of sec-alcohols. J. Mol. Catal. B: Enzym. 11 (2001) 1025-1028 III Ottosson J., Rotticci-Mulder J. C., Rotticci D., and Hult K. Rational design of enantioselective enzymes requires considerations of entropy. Protein Sci. (2001) In press IV Ottosson J., Fransson L., and Hult K. Substrate entropy in enzyme enantioselectivity. Submitted manuscript V Ottosson J., Fransson L., King J. W., and Hult K. Size as a parameter for solvent effects on Candida antarctica lipase B enantioselectivity. Submitted manuscript Table of contents INTRODUCTION 1 Background Biocatalysis in non-aqueous media 1 2 Chirality 4 Enzyme enantioselectivity 7 Candida antarctica lipase B 11 Molecular modeling 14 ANALYSIS OF ENZYME ENANTIOSELECTIVITY 16 Theory 16 Role of the substrate Thermodynamic analysis Alcohol moiety Molecular modeling of spatial freedom of the substrate Acyl moiety 19 20 20 22 26 Role of the protein Thermodynamic analysis 28 28 Role of the solvent Thermodynamic analysis Enthalpy-entropy compensation 31 32 36 Concluding remarks 38 ACKNOWLEDGEMENTS 39 REFERENCES 40 Introduction The research in this thesis lies within the field of biocatalysis. Biocatalysis deals with synthesis methods that exploit natural catalysts [1]. Catalysts are substances that increase the rate of a reaction without themselves being consumed. Natural catalysts have been evolved by nature since beginning of time to control and regulate almost all chemical reactions required to sustain life. In biocatalysis they are put to work by and for mankind, often in conditions and with substrates that are unnatural for them. Background Biocatalysis is by no means a modern concept. Brewing of beer, for example, predates recorded history [1]. In ancient China and Japan biocatalysis was used for the production of food and alcoholic drinks and in Europe the ancient Greek writer Homer described the production of cheese through stirring milk with a twig from a fig tree. The twig leaked a biocatalyst (ficin) that caused a coagulation of the milk [2]. It was however not until the 19th century that a more scientific approach to biocatalysis began. Berzelius defined catalysis and acknowledged the action of biological catalysts (1830s) and Kühne termed these enzymes (around 1870, from greek: in yeast). The unique specificity of enzymes was in 1894 suggested by Fischer to be due to structural complementarity between the enzyme and its substrates. He coined the “lock and key” mechanism with the analogy of the substrate fitting the enzyme like a key to a lock [3, 4]. It was early recognized that enzymes do not require the environment of the living cell [5]. The first reports of enzymatic reactions in organic solvents came already in 1898 and 1900 [6, 7]. However, it was not definitely settled that enzymes are proteins until the first crystallizations of urease, pepsin, trypsin and chymotrypsin in the 1920s and 1930s [8, 9]. Although nearly all enzymes are proteins it is now known that RNA may display enzyme activity (ribozymes) [4]. Nature has evolved enzymes to be very efficient and selective catalysts and it is particularly these properties that make them so interesting for use in chemistry. Biocatalytic processes are increasing in number [10] and include processes that utilize whole-cells as well as purified enzymes. The rapid development and increased interest in the field is reflected by and analyzed in the recent special issues of Nature and Chemical & Engineering News on biocatalysis [1, 10-18]. Several industrial processes based on biocatalysis are in use and 1 although so far most of them are for low-volume, high-value products, such as pharmaceutical synthons, there are exceptions such as the production of ethanol and fructose that are produced annually at a million ton scale at a low price [16]. The production of aspartame, a low-calorie sweetener, is another example of a large-scale biocatalytic process [10]. Biocatalysis in non-aqueous media The use of enzymes as catalysts in organic solvents was for a long time met with great skepticism among biochemists. This is not surprising as the addition of organic solvents to aqueous media has been a technique to precipitate and denature proteins. Consequently, the breakthrough of biocatalysis in non-aqueous media waited until the early 1980s [19-23]. Nowadays, it is well established that many enzymes, such as lipases, can remain active and stable in pure organic solvents. Changing the hydrophobicity of a predominantly aqueous media through addition of organic solvents cause the hydrophobic effects, which keep the hydrophobic residues buried in the core of the protein, to rupture and cause denaturation of the protein. When exposed to a pure organic solvent, many proteins do not unfold but remain active. It has been suggested that proteins, folded in an aqueous environment, are kinetically trapped in their native structure in organic solvents [13, 24-26]. In addition, in media of low water content, enzyme inactivation, caused by hydrolysis of peptide bonds and deamidation of asparagine and glutamine residues, is reduced [13]. In fact many times enzymes are more stable in organic solvents than in water. For instance, increased thermostability in dry organic solvents with substantial increases in enzyme half-life at 100ºC compared to water has been observed [22, 27]. There are a number of advantages of using enzymes in organic solvents, Table 1. Many substrates that are insoluble in water can be dissolved in organic solvents. That the enzyme itself is insoluble is often an advantage that simplifies its recovery and reuse, many times an economically very important point. A change from an aqueous environment can favor a shift in the equilibrium enabling synthetic reactions to be achieved with hydrolytic enzymes. Moreover, the unique selectivity and activity of enzymatic reactions is achieved under mild reaction conditions. This minimizes problems with reaction conditions deleterious to the substrate or product, and avoids handling of harsh chemicals or reaction conditions. The enzyme’s instability in harsher reaction conditions, common in industry, can of course be a disadvantage. The search for enzymes from various extremophilic organisms may, however, result in biocatalysts that can withstand more extreme conditions [28, 29]. Furthermore, enzymes are environmentally benign and are unlike metal 2 Table 1. Benefits of biocatalysis in non-aqueous media § Increased substrate solubility § Simplified recovery of biocatalyst § Shift to synthetic reactions § Mild reaction conditions and minimization of side-reactions § Environmentally benign catalysts § High selectivity § Simplified work-up of products § Avoids microbial contamination catalysts completely degraded in nature. Although some enzymes do display practically perfect selectivity, many enzymes can accept a broad range of unnatural substrates still with high chemo-, regio- or enantioselectivity. Additionally, the use of an organic solvent often simplifies work-up procedures and avoids microbial contamination of the reaction medium [13, 30]. Enzymes have also been shown to function in supercritical fluids, such as supercritical carbon dioxide (SCCO2) [31, 32]. The use of SCCO2 as solvent for enzymatic reactions poses a number of advantages. The technique is environmentally acceptable, leaving no toxic solvent remains neither in product nor waste. Simple changes in pressure and temperature can modulate the properties of the solvent, such as solubilizing capability and density. Furthermore, workup after reaction can be greatly simplified as the technique is easily combined with other unit operations such as supercritical extraction or fractionation. Mass transfer limitations may be overcome in SCCO2 due to high diffusivity and low viscosity and surface tension. A number of reviews on biocatalysis in supercritical media have been presented [33-35]. Biocatalysis in non-aqueous media developed over the last two decades of the 20th century into a well-established technique. Lipases are a class of enzymes that has proved to be particularly successful biocatalysts. There are a number of commercial applications of lipases both in aqueous media, such as detergent enzymes and in food and paper technology, as well as in non-aqueous media, in the fine chemicals industry for production of various organic intermediates [36, 37]. 3 Chirality An object that is not identical with its mirror image, although the two have identical composition, is said to be chiral. This applies to macroscopic objects such as our hands but also exists on the molecular level. Just like our left and right hands, both composed of a palm and five fingers, are distinctly different, a molecule can be different to its mirror image. Figure 1 illustrates how a molecule of 2-butanol in no way can be oriented to be identical to its mirror image. The two molecules are said to be enantiomers. C2H5 H C C2H5 C2 H5 OH OH CH3 C H CH3 CH3 C C2 H5 OH H (S)-2-butanol H C CH3 OH Three orientations of (R)-2-butanol mirror plane Figure 1. The S and R enantiomers of 2-butanol are non-identical mirror images of each other. (R)-2-butanol can not be rotated to be superimposable on (S)-2-butanol. Enantiomers have identical physical and chemical properties and show the same behavior in an achiral environment, but may exhibit very different behavior in a chiral one. As chirality is a widespread phenomenon in nature there are many examples where enantiomers function very differently, Figure 2. The sensitive receptors in the human nose will signal the odor of lemons or oranges depending on which enantiomer of limonene they are exposed to. Similarly, the enantiomers of carvone give the flavor of cumin or spearmint. In pharmaceuticals often only one of the enantiomers of a chiral drug is the effective agent. The other enantiomer may be less effective, totally ineffective, or in the worst case even toxic. The world became terribly aware of the latter as a number of children were born with severe birth defects in the late 1950s after pregnant mothers had been prescribed thalidomide for the treatment of morning sickness. Thalidomide was administered as a racemic drug, that is it consisted of equal amounts of both enantiomers. One of the enantiomers was the pharmaceutical agent but the other caused developmental malformations. Later research has indicated that the enantiomers actually are interconverted in the body [38]. Legislation now 4 O * OH O * Ibuprofen * anti-inflammatory or ineffective Carvone * flavor of cumin or spearmint OH Terpineol O Limonene scent of lilac or cold pipe scent of lemon or oranges N * O F N F O O * F O H Thalidomide (Neurosedyn) O sedative or teratogenic NH O Fluoxetine (Prozac) * antidepressant or ineffective * HS OH H N O NH2 Penicillamin antiarthritic or extremely toxic Propranolol OH * N H Ethambutol b-blocker or cause sterility H N O * HO H N HO tuberculosis drug or cause blindness N O NH2 O * S NH2 * O Aspargine Sweet or bitter flavor N Omeprazole (Losec) stomach ulcer drug or ineffective O Figure 2. Examples of chiral substances with distinctly different biological functions of the enantiomers. The position of the stereocenter is marked with an asterisk. requires both enantiomers of a racemate drug to be studied in detail for its pharmacological effects and consequently, the market for enantiopure chiral drugs is rapidly expanding [39, 40]. A number of formerly racemic drugs are or will soon be reintroduced as single enantiomer drugs, for example Losec ((S)-omeprazole) and Prozac ((R)fluoxetine) [39]. These drugs can be marketed as free from the additional burden on metabolism that the less effective enantiomer represents with the bonus of new patents. In the light of the different effects of enantiomers in nature the importance of a nomenclature that unmistakably distinguishes them from one another becomes evident. Cahn, Ingold and Prelog 5 developed such a nomenclature that designates one enantiomer as R and the other as S, Figure 1 [41]. The similarities of enantiomers make them difficult to separate or produce in pure form. Some of the classical methods are isolation from nature’s “chiral pool”, crystallization, and chemical conversion to diastereomers, which are possible to separate with classical techniques. However, the chiral pool of nature very often lacks the desired compound in high enough quantities (if it exists at all) and few organic compounds form enantiopure crystals [30]. Development of methods for asymmetric synthesis, that is synthesis of enantiopure or -enriched compounds, is consequently in high demand. For this biocatalytic methods show great potential. A measure of the degree of enantiopurity is the enantiomeric excess ee, Equation 1. ee = [R ] - [S ] [R ] + [S ] [R]: concentration of the R-enantiomer (1) [S]: concentration of the S-enantiomer One way of analyzing ee is to measure the degree of rotation of plane polarized light, as enantiomers rotate such light in opposite directions. However, to determine the enantiomeric excess one needs to know the optical rotation at 100% ee, which is not the case when working with a new substance. Chemical transformation of enantiomers with an enantiopure substance allows preparation of diastereomers that are separable by ordinary methods and thus allows determination of ee. Much of the troubles of analyzing enantiomers were overcome with the advent of new chiral stationary phases for liquid and gas chromatography in the late 1980s [42]. This has significantly simplified the analysis of enantiomers and consequently studies of enantioselectivity. Substances may also be prochiral, that is they are not chiral themselves but may form a chiral product in a reaction. This is exemplified by 2-butanone (prochiral) in its reduction to 2-butanol (chiral), Figure 3. Depending on from which side of the carbonyl the reaction takes place the R- or the S-enantiomer of the alcohol will form. The high stereoselectivity of enzymes and the importance of chirality in many areas make biocatalysis a rapidly growing technology for the production of enantiopure substances [17, 43, 44]. Enantiopure secondary alcohols are important synthons for the preparation of pharmaceuticals and agrochemicals for which several biocatalytic approaches have been applied in industry [45]. Kinetic resolution of sec-alcohols using lipases often yields product of high enantiopurity and is the reaction system studied in papers I-V. 6 OH R O 1 OH 2 S Figure 3. Reduction of the prochiral substance 2-butanone yields either of the enantiomers of 2-butanol. Enzyme enantioselectivity As enzymes themselves are chiral, they can act as the chiral environment needed to preferentially catalyze one enantiomer of a chiral substrate or form a single enantiomer from a prochiral substrate. Ogston developed a rationale for the enantioselectivity of enzymes, which states that a substrate must be attached by at least three points on the enzymes for a high enantioselectivity [30]. Figure 4 illustrates the preferred binding of a substrate that will yield just one enantiomer of the product. In production of the other enantiomer the complementarity to the enzyme is reduced. The enzyme has trouble accommodating the incorrect enantiomer like a right hand does not fit a left hand glove. Consequently, the incorrect or non-preferred enantiomer will require higher activation energy to react and will undergo catalysis at a lower reaction rate, Figure 5. This allows for kinetic resolution, that is separation of enantiomers by stopping the reaction before equilibrium is attained, yielding a mixture of enantio-enriched reagent and product. chiral substrate prochiral substrate prochiral substrate R4 E1 R1 C R1 R3 R2 E3 E1 R 1 R3 C R2 E2 enantiomer selectivity E3 E1 E2 enantioface selectivity R1 C R3 R2 E3 E2 enantiotopic selectivity Figure 4. Three-point attachment rule of enzyme enantioselectivity. The complementary interaction between substituents of the substrate (R) with enzyme residues (E) enables catalysis yielding a single enantiomer from a chiral or prochiral substrate. 7 G ∆GS ∆R-S ∆G ‡ ‡ ∆GR ‡ E+S [TS] ‡ E+P reaction coordinate Figure 5. Schematic free energy profile of an enantioselective enzyme-catalyzed reaction favoring the R-enantiomer. The progress of the enantiomeric excess of substrate (eeS) and product (eeP) versus the degree of conversion for a kinetic resolution is displayed in Figure 6. At low conversion the enzyme experiences a nearly racemic concentration of the substrate (no or low eeS) and practically only catalyzes the conversion of the preferred enantiomer yielding a high eeP. As the reaction proceeds the concentration of the preferred enantiomer decreases and the enzyme now experiences a relatively higher concentration of the other enantiomer, raising its probability to be converted, eeS increases and eeP decreases. In order to have a parameter of the enzyme that describes its degree of enantioselectivity, Chen et al. introduce the enantiomeric ratio, E, and define it as the ratio between the specificity constants, kcat/KM, for the enantiomers. E describes how well the enzyme discriminates between the enantiomers of a substance under given reaction conditions. The shape of the progression curves of eeS and eeP versus conversion thus changes with E, Figure 6. For the extreme values of E of highly enantioselective enzymes the reaction proceeds to 50% conversion after which the reaction rate drops so drastically that it practically stops. E can be determined from conversion, c, and the enantiomeric excess of either the substrate or product, Equation 2 and 3 [46]. E= ln[(1 - c )(1 - eeS )] ln[(1 - c )(1 + eeS )] (2) E= ln[1 - c(1 + eeP )] ln[1 - c(1 - eeP )] (3) Estimations of E by single point measurements of eeS or eeP at one conversion are many times unreliable as determination of conversion often lacks a high degree of accuracy. 8 Figure 6. Plot of enantiomeric excess of substrate, eeS, and product, eeP, as a function of the conversion of an enzyme-catalyzed irreversible kinetic resolution reaction. The plots were made with the computer program Selectivity developed by the group of Professor Faber, University of Graz http://borgc185.kfunigraz.ac.at. This may be overcome by the use of algorithms that calculate E by nonlinear regression of data obtained at several extents of conversion [47, 48]. Determinations of conversion can be avoided if E is calculated by another equation presented by Rakels et al., Equation 4 [49]. Equation 4 is a combination of equation 2 and 3 and was used in the present investigation. æ ç 1 - eeS lnçç ee çç 1 + S eeP E= è æ ç 1 + eeS lnçç ee çç 1 + S eeP è ö ÷ ÷ ÷ ÷÷ ø ö ÷ ÷ ÷ ÷÷ ø (4) These, and other methods for the evaluation of E and their advantages and disadvantages, are reviewed by Straathof and Jongejan [50]. Equation 2-4 and Figure 6 applies to irreversible reactions. Theoretical treatment of reversible reactions, which incorporates the equilibrium constant, Keq, to the equations, has also been presented [51]. 9 The relation between the difference in Gibbs free energy of the transition states of the enantiomers, Figure 5, and the enantiomeric ratio E can be shown with transition state theory to be D R -S DG ‡ = DGR‡ - DGS‡ = -RT ln E (5) Enzyme enantioselectivity provides an excellent opportunity for fundamental studies of enzyme catalysis due to the identical ground state energies of enantiomers, which reduces the comparison of their reaction path energetics to the difference of the two enzyme-substrate transition states. Measurements of absolute rates are often problematic for instance under denaturing conditions where the amount of active enzyme is difficult to determine. In enantioselective systems determination of relative reaction rates are sufficient. It is important that the determination of E is reliable when comparing and studying the performance of enzymes in enantioselective catalysis. Any conclusions on enzyme mechanism and performance drawn from changes in E may otherwise be faulty. Although the comparison of the enantiomeric excess of reaction products is a very good measure of product quality it can not be used to make any conclusions about enzyme enantioselectivity unless the enantiomeric excess are determined at identical degrees of conversion. In studies on enzyme enantioselectivity, the enantiomeric ratio, E, should be the parameter compared. Particular precautions should be made when determining high E-values, as these are difficult to measure with a high degree of accuracy because analysis of very high enantiomeric excess values are required. Enzyme enantioselectivity is apart from the reaction conditions influenced by the substrate structure, variations on the catalyst itself and by the reaction medium. Consequently, much effort has been made to optimize enantioselectivity with substrate, protein and solvent engineering. For lipases, Berglund recently presented an overview of means to control enantioselectivity [52]. In this thesis some of the parameters that affect the performance of enantioselective enzymes have been investigated using thermodynamic analysis of observed changes in enantioselectivity. The ultimate goal has been to provide additional information for a molecular understanding of enzyme enantioselectivity in particular and enzyme catalysis in general. 10 Figure 7. Structure of Candida antarctica lipase B. The catalytic serine is displayed in ball-and-stick representation. Candida antarctica lipase B With the aim of finding enzymes with extreme properties, the yeast Candida antarctica was isolated from a sample from Antarctica [53]. This organism produces two lipases (E.C. 3.1.1.3 triacyl glycerol hydrolases) with designations A and B. In 1994, the structure of CALB (Candida antarctica lipase B) was determined by X-ray crystallography, Figure 7 [54]. It is composed of 317 amino acid residues and has a molecular weight of 33 kDa, which makes it a fairly small protein compared to other lipases. Like all other lipases of known structure it belongs to the α/β-hydrolase fold family of proteins [36, 55]. Contrary to most other lipases this enzyme does not display interfacial activation, that is an increase in activity caused by exposure to a water-lipid interphase [36, 56]. This is considered to be due to the fact that this enzyme lacks the lid that regulates the access to the active site that is a common feature in other lipases. Another unusual feature of this lipase is that it does not have the consensus amino acid sequence, GXSXG, around the active site serine that is common to 11 O Asp187 O Ser105 H N N O R O O Asp187 O R1 Acylation Free enzyme R1 O H H His224 Ser105 O N N O H O Oxyanion hole R His224 Tetrahedral intermediate O R2 R1 O R-OH Asp187 Asp187 Deacylation O O Ser105 R1 O O H N His224 N O H O Ser105 O O Oxyanion hole H N N R1 O R2-OH R2 His224 Tetrahedral intermediate Acyl enzyme Figure 8. Catalytic mechanism of a Candida antarctica lipase B catalyzed hydrolysis (R2=hydrogen) or transesterification (R2= alkyl). this folding family. Instead it has a threonine at the position of the first conserved glycine [54]. Similar to other serine hydrolases a serine-histidine-aspartate catalytic triad is responsible for the catalytic action with the mechanism outlined in Figure 8. It is a two-step mechanism with an acylation step and a deacylation step separated by a covalent acyl-enzyme intermediate. CALB has proven to be a particularly useful biocatalyst of good stability and activity that catalyze a diverse range of reactions. It has been shown to exhibit high regio- and enantioselectivity. Anderson et al. published a review article in 1998 on the use of this enzyme in organic synthesis [53]. Papers I-V present a study of the kinetic resolution of sec-alcohols catalyzed by CALB. The enantiopreference of the enzyme follows Kazlauskas’ rule, Figure 9 [57]. An overview of the preparation of enantioenriched sec-alcohols using CALB, including protocols, has previously been presented by us [58]. H M OH L Figure 9. The preferred enantiomer of a sec-alcohol for hydrolases that follow the rule of Kazlauskas [57]. L= large sized substituent, M= medium sized substituent. 12 Protein surface Stereospecificity pocket L O HN O N H O H H O H O-Thr40 N-Thr40 Asp187 O HN O N H O H H O Ser105 O N-Gln106 Acyl site H L Ser105 O M Stereospecificity pocket H M Asp187 Alcohol site Acyl site Alcohol site Protein surface H O-Thr40 N-Thr40 N-Gln106 His224 His224 Figure 10. Overview of the two CALB binding modes for the enantiomers of secalcohols in the tetrahedral intermediate transition states presented by Orrenius et al. [60]. The fast reacting enantiomer in the left panel is less sterically hindered. The hydrogen bonding network in the active site is required for catalysis. At least two of the three potential hydrogen bonds to the backbone of Thr40 and Gln106 and the side chain of Thr40 in the oxyanion hole are considered necessary [54]. The crystal structures of CALB with Tween 80 and in a covalent complex with a phosphonate inhibitor, in combination with molecular modeling studies have revealed the existence of a stereospecificity pocket within the active site [59]. This pocket, located deep in the active site has been suggested to harbor one of the substituents on the stereocenter of sec-alcohols. Further modeling and experimental studies brought forward a model of two different productive binding modes for the enantiomers in transition state [60]. These different modes are illustrated in Figure 10. According to the model, the two modes are necessary to allow both enantiomers to develop the hydrogen-bonding pattern within the active site, required for catalysis [54, 60]. The fast reacting enantiomer, generally R, places its mediumsized substituent of the alcohol moiety into this pocket and its large substituent in the volume of the active site open to the surface of the protein. In order to keep the above-mentioned hydrogen-bonding pattern, the slow reacting enantiomer, usually S, has to place its large substituent into the stereospecificity pocket instead. A steric difference between the transition states of the enantiomers can thus explain the enzyme’s ability to resolve enantiomers. However, this model is static and only considers differences in activation enthalpy and not entropy. Thermodynamic analysis of enantioselectivity has revealed that entropy as well is an important parameter for the success of the discrimination between enantiomers exhibited by an enzyme [61]. 13 Molecular modeling The fast development of computational chemistry has been of great importance for studies on proteins. The graphical tools alone, that enable visualization of proteins whose structures have been determined, have had a great impact on our understanding of proteins. The number of proteins in the structural databank [62] is rapidly increasing allowing more and more proteins to be analyzed and studied with a range of methods that computational chemistry provides. Quantum chemistry calculations on whole proteins require more computational power than is feasible today. This may be overcome by the use of empirical force field methods, based on classical mechanics and often termed molecular mechanics. The potential energy of a molecule is calculated as a sum of interactions related to bond stretching, torsions and angle bending as well as non-bonded interactions such as electrostatic and van der Waals interactions [63]. The force field parameters are based on experimental data and a number of different force fields suitable for different types of compounds have been developed [63]. As electrons are not treated explicitly with molecular mechanics, chemical reactions in which bonds are formed and broken cannot be studied. Some combinational approaches where the reactive parts of the molecule, such as the catalytic residues of an enzyme, are treated with quantum mechanics and the rest of the molecule with molecular mechanics have been successful [63]. Molecular dynamics (MD) simulation calculates the time-dependent dynamics of a molecule. In the simulations the movements of the atoms in a force field are calculated with Newtonian physics in very short time steps. As the time-steps have to be in the order of femtoseconds, the real time that may be simulated with reasonable computer capacity is limited by the number of atoms in the system and the computational force at hand. Another method for exploring possible conformations is to perform a systematic search by rotating bonds in increments and determine the force field energy of each conformation. This method is independent of any energetic barriers between the conformations, but is limited by computational power as the number of calculations will increase exponentially with the number of bonds included. Consequently, the method is limited for analysis on the conformations of only a few atoms. Molecular modeling can help to explain on a molecular level enzyme selectivities and can suggest changes for improvement of biocatalyst performance. In the long run a major goal is to be able to correctly quantify the degree of selectivity, which could save time and 14 resources today spent on empirical screening. Enantioselective enzymes are especially well suited for molecular modeling studies as the identical ground state energies of enantiomers allow comparison of only transition state structures and energies. A review by Kazlauskas on molecular modeling on biocatalysts was published in 2000 [64]. 15 Analysis of enzyme enantioselectivity Presently, when designing a biocatalytic process, much time and resources are spent on optimization and screening. Therefore, knowledge that would enable predictions on the outcome of the reactions would be most beneficial. A lot of such information and knowledge has been acquired since the breakthrough of biocatalysis in the 1980s and several empirical and modeling based rules and criteria are now available [30, 65, 66]. However, much is still not predictable and our understanding at a molecular level of the catalytic events and the factors influencing them are still incomplete. Enantioselective systems are, as previously mentioned, ideal for fundamental studies of enzyme action due to the identical ground state energies of the competing substrates (the enantiomers). Thermodynamic analyses, through studies of the variation of enantioselectivity with temperature, provide additional information on the role of activation enthalpy and entropy that hopefully will yield an increased molecular understanding. Theory Enantioselectivity is caused by a difference in activation free energy between the enantiomers that may be separated into an enthalpic and an entropic term, Equation 6, Figure 11. D R -S DG ‡ = D R -S DH ‡ - TD R -S DS ‡ = -RT ln E (6) Originally the contribution of entropy was considered negligible as both enantiomers are significantly restricted in the small volume of the enzyme active site [67-69]. DeTar estimated in 1981 the maximal entropy contribution to enantioselectivity for a hydrolysis reaction catalyzed by chymotrypsin [67]. Assuming the available volume of the active site to be no more than twice the volume of the substrate he estimated the maximal contribution of translational entropy to be Rln2 (giving a TDR-SDS‡ of 1.7 kJ mol-1 at 300 K). Contributions of rotational entropy were excluded in the estimation with the argument that no rotational freedom exists for complexed substrates. Differences in the contribution to the differential free energy from vibrational entropy, TDR-SDS‡, were estimated by DeTar to be less than 4.2 kJ mol-1. In 1992 Phillips pointed out that DR-SDS‡ in fact can contribute significantly to enantioselectivity [61]. 16 G S H ∆HS ‡ ∆G ∆R-S ∆G ‡ S ‡ ∆R-S ∆H ‡ ∆HR ∆S S ‡ ∆G ‡ R ‡ ∆S R ‡ E+S [TS] ‡ E+P E+S reaction coordinate ‡ [TS] E+P E+S reaction coordinate ∆R-S ∆S ‡ [TS] ‡ E+P reaction coordinate Figure 11. Reaction profiles for an enzyme catalyzed reaction of a chiral substrate with enantiomers designated R and S. G = Gibbs free energy, H = enthalpy and S = entropy. The difference in activation enthalpy and entropy between the enantiomers, Figure 11, can be determined by studying the variation of the enzyme’s enantiomeric ratio, E, with temperature. Equation 6 rearranges to Equation 7 ln E = - D R -S DH ‡ 1 D R -S DS ‡ × + R T R (7) The enantiomeric ratio (or rather lnE) will vary with reciprocal temperature to an extent determined by the enthalpic term (the slope of Equation 7, DR-SDH‡/R) at a level determined by the entropic term (the intercept of Equation 7, DR-SDS‡/R). Differential activation enthalpy is related to differences in the complementarity of each enantiomer in the transition state and comprises steric and electrostatic interactions between the reaction components, the enzyme, its substrate and the solvent. Differential activation entropy, however, is more difficult to visualize and comprises differences between the enantiomers in conformational degrees of freedom of the protein, losses in conformational entropy of the substrates or solvation. Figure 12 presents an overview of the theoretically possible relations of lnE or DR-SDG‡ with temperature according to equations 6 and 7. The differential activation parameters can be either positive or negative depending on which enantiomer is favored by enthalpy and entropy. A temperature at which there is no enantioselectivity, E=1 and DR-SDG‡=0, the racemic temperature, Tr, is determined as the ratio of the differential activation enthalpy and entropy, Equation 8. Tr = D R -S DH ‡ D R -S DS ‡ (8) 17 ‡ ‡ ‡ ‡ ∆∆H <0 ∆∆S >0 ∆∆G ‡ lnE ‡ ‡ ∆∆H <0 ∆∆S <0 Tr 1/Tr T 0 ‡ ∆∆H <0 ∆∆S <0 1/T 0 ‡ ∆∆H <0 ∆∆S >0 Figure 12. Schematic overview of the theoretically possible relations between differential activation free energy, ∆∆G‡, and temperature (Equation 6) or lnE and reciprocal temperature (Equation 7). In the opposite enantiopreference both ∆∆H‡ and ∆∆S‡ change sign. Generally, the enthalpic and the entropic contributions counteract each other, that is, they are either both positive or both negative. This is in line with the notion that a better transition state binding, low enthalpy, comes with a more rigid transition state, low entropy. In other words the enantiomer favored by enthalpy is disfavored by entropy, Figure 11. Below Tr, the major term in the differential free energy is the enthalpic term, Equation 6. The enzyme will preferentially catalyze the enantiomer favored by enthalpy, and enantioselectivity will decrease with temperature as the entropic term (TDR-SDS‡) of Equation 6 increases. Above Tr, however, the major term is the entropic and the enzyme’s enantiopreference is changed to the enantiomer favored by entropy and enantioselectivity increases with temperature as TDR-SDS‡ increase. Theoretically, the differential activation enthalpy and entropy may be of different signs, that is the favored enantiomer is both favored by enthalpy and entropy. This situation produces a negative Tr with no physical meaning. Several studies of the temperature dependence of enzyme enantioselectivity are now available in literature [61, 70-77] and it has become evident that the entropic term is by no means negligible, but actually has a strong influence on enantioselectivity. Generally enzyme catalyzed reactions have racemic temperatures above the experimental temperature, and enantioselectivity decreases with increasing temperature. However, several examples of reactions above the racemic temperature with the somewhat counterintuitive property of increasing enantioselectivity with increasing reaction temperature have been presented [71, 74, 78-84]. These systems are interesting as one may increase both enantioselectivity as well as activity by simply increasing the reaction temperature. Some 18 reaction systems with racemic temperatures within the experimental temperature range have also been identified [73, 84]. By a change in reaction temperature the enzyme’s enantiopreference could be switched to the other enantiomer. The situation in which the differential activation parameters have opposite signs and favor the same enantiomer seems to be rare but a few such cases are found in the present investigation (papers I and IV) and elsewhere [76, 85]. The observed variations in the components of enantioselectivity, ∆R-S∆H‡ and ∆R-S∆S‡, are related to shifts in the individual activation parameters, ∆H‡ and ∆S‡, for one or both enantiomers. Determinations of individual activation parameters are possible but require pure enantiomers and determination of absolute reaction rates, an experimentally more complex task. Enzymatic reaction systems can be said to consist of three components; the substrates, the protein and the solvent. These three components interact and it is their overall interactions that determine the success of the catalysis. The effects on enantioselectivity and the differential activation parameters from each of these components are complex and highly interdependent. However, for the sake of discussion an attempt to treat each component separately is made in the following chapters. Role of the substrate Much effort has been put into setting up rules and criteria, based on the substrate structure, to predict enzyme selectivity. The rule of Kazlauskas for prediction of enantiopreference, Figure 9, [57] and various boxmodels [86-89] based on experimental data from many substrates with varying structure are successful examples. Moreover, several molecular modeling studies have investigated the structural requirements of substrates [60, 69, 90-93]. However, the influence of entropy is not considered in these approaches. The chiral environment of the enzyme active site will affect enantiomers differently. Differences in steric and electrostatic interactions with the enzyme will give rise to differential activation enthalpy, whereas differences in the degrees of freedom of the activated enzyme-substrate complexes will yield a differential activation entropy. Understanding the structural requirements of substrates for good enantioselectivity is of great value and is used in substrate engineering for improved enantioselectivity. For example, enantioselectivity can be improved by the use of suitable protective groups [30] or forming salts [94]. 19 Thermodynamic analysis In one of the early works that included a thermodynamic analysis in the study of parameters important to enantioselectivity, Zheng and Phillips report enhanced enantioselectivity of a dehydrogenase with coenzyme analogs [95]. Analogs to the native coenzyme NADPH yield in reductions of 2-butanone catalyzed by alcohol dehydrogenase from Thermoanaerobacter ethanolicus, SADH, higher enantioselectivity. Kinetic experiments of the reverse reaction and determination of the temperature dependence of E reveal that the observed increase in enantioselectivity, when changing cofactor, is caused by changes in both DR-SDH‡ and DR-SDS‡. In another study of the same enzyme, the change of substrate from 2-butanol to 2-pentanol, reveal changes in both the enthalpic and the entropic term [70]. For 2-butanol the racemic temperature is 26°C and consequently, the stereochemical outcome of the reaction can be set by the choice of reaction temperature. Below 26°C the S-isomer is the preferred enantiomer and above the R-isomer. For 2-pentanol the racemic temperature is 77°C and both DR-SDH‡ and DR-SDS‡ are lower compared to those of 2-butanol. The change of coenzyme and the addition of a methyl group on the substrate both cause changes in the chiral alcohols’ interactions with the enzyme or solvent as well as the degrees of freedom of the enzyme-substrate complex. Kinetic resolutions of sec-alcohols with transesterification reactions catalyzed by CALB involve two substrates, an acyl donor and the chiral alcohol as the acyl acceptor, Figure 8. Both substrates affect enantioselectivity, as the acyl chain and the alcohol both are part of the chiral discrimination transition state. Much is known of the structural requirements of the alcohol for high enantioselectivity for this enzyme, which has led to the model of Orrenius et al. presented on page 13 [60]. Entropy factors are not considered in this model, but it provides a molecular level picture of the enzyme-substrate transition states, most valuable in studies of the enzyme. The effects of substrate structure on CALB enantioselectivity were studied with thermodynamic analyses in papers I and IV (variations on the alcohol moiety) and in paper II (variations on the acyl moiety). Alcohol moiety Table 2 presents E and its thermodynamic components for various sec-alcohols (papers I and IV). For all the substrates a significant contribution of the differential activation entropy to enantioselectivity was observed. In fact, the entropic term, TDR-SDS‡, was 25-61% of the enthalpic term, DR-SDH‡, in the differential free energy of activation, DR-SDG‡. Small 20 Table 2. Enantiomeric ratio, E, and its thermodynamic components for the transesterification of sec-alcohols catalyzed by Candida antarctica lipase B (paper I and IV). Vinyl octanoate was the acyl donor for all but 1-bromo-2-butanol, where vinyl propionate was used. Alcohol moiety E ∆R-S∆G‡ ∆R-S∆H‡ T∆R-S∆S‡ ∆R-S∆S‡ Tr 298 K 298 K 298 K kJ/mol kJ/mol kJ/mol J/mol,K K 1-bromo-2-butanol 100 -11.4 -23.5 ± 1.0 -12.1 ± 1.0 -40.7 ± 3.2 580 3-hexanol 340 -14.4 -9.0 ± 0.7 +5.5 ± 0.7 +18.3 ± 2.4 -490 2-butanol 8.3 -5.3 -10.7 ± 1.4 -5.4 ± 1.4 -18.2 ± 4.6 590 3-methyl-2-butanol 810 -16.6 -24.3 ± 1.1 -7.7 ± 1.0 -26.0 ± 3.4 940 3,3-dimethyl-2-butanol 460 -15.2 -20.4 ± 1.3 -5.2 ± 1.3 -17.6 ± 4.2 1160 Errors were calculated from the standard errors of the linear regression of Equation 7 and E was calculated from the linear relation. changes in the alcohol structure, such as an additional methyl or bromo group, brought about changes in both DR-SDH‡ and DR-SDS‡, resulting in a wide range of E. The racemic temperature, Tr, was in all cases above the experimental temperature except for 3-hexanol, which had a negative Tr. 3-Hexanol displayed as the other substrates a negative differential activation enthalpy but a positive differential activation entropy. In other words the preferred enantiomer of this substrate (R) was both favored by enthalpy and by entropy. This is a somewhat unexpected observation as one generally associates a low activation enthalpy barrier with a low activation entropy barrier. For all the other alcohols in Table 2 the enthalpic and the entropic term counteracted each other, that is, the enantiomer favored by enthalpy (R) was disfavored by entropy. 1-Bromo-2-butanol has two isosteric substituents (-CH2CH3 and -CH2Br) at the stereocenter but CALB still displayed a significant enantioselectivity to this compound [96]. Consequently, non-steric interactions in the active site contributed to the enantiodiscrimination and did so with both a differential activation enthalpy and entropy, Table 2. Repulsive forces between enzyme residues within the stereospecificity pocket and the halogen atom as it points into the pocket have been proposed to be the basis of the observed enantiodiscrimination [96, 97]. Another example showing that non-steric interactions contribute to enantioselectivity was recently presented for Candida rugosa lipase MY [78]. In that study halogen substituents rather remote of the chiral center are shown to affect the resolution of a chiral acid compared to their isosteric counterparts. It is difficult to visualize the cause of the differential activation entropy for 1-bromo-2-butanol as the “large and medium sized” substituents are isosteric. The potential spatial freedom in the active site is the same for both enantiomers, independent of the two modes of binding, which suggests similar transition state entropy. This is not the case, however, instead this substrate displayed the largest entropic component of E in this series of alcohols. Non-steric interactions between 21 the halogen and the enzyme or the solvent may restrict the degrees of freedom experienced by one enantiomer more than the other. Unfortunately, the lack of parameters in the force field describing bromo-atoms excluded this substrate from the molecular modeling study of the substrate accessible volumes in transition state described in paper IV. Molecular modeling of spatial freedom of the substrate The spatial freedom of a substrate in the active site may be estimated with various molecular modeling methods. For estimation of differential activation parameters in enzyme enantioselectivity it is sufficient to model only transition states, as enantiomers have identical ground state energies. In paper IV the correlation between differential spatial freedom of the enantiomers in the activated enzyme-substrate complex with the differential activation entropy was investigated. Two different molecular modeling approaches were used to verify whether the largest substrate accessible volume of a pair of enantiomers could be correlated to the one with the highest activation entropy. Unfortunately, lack of parameters describing bromo atoms in the force field prevented studies on 1-bromo-2-butanol. This was particularly unfortunate as it would be most rewarding to study an isosteric compound with this approach. One method to sample possible conformations of the substrate in the active site is molecular dynamics, MD, simulations of the tetrahedral intermediate structure as a model of the transition state, Figure 8. By MD simulations distinctly different conformations of sec-alcohols in the active site of CALB could be identified (paper IV). The large substituents pointed into different regions of the active site during the MD simulations for both enantiomers of 2-butanol as well as (R)-3-hexanol and (R)-3-methyl-2-butanol, see Figure 4 in paper IV. Some atoms of the different substrates occupied similar or identical positions in the active site. For example, the two possible positions of carbon number three, the γ-carbon, on the ethyl substituent of (S)-2-butanol were identical with the positions of the two γ-carbons of the iso-propyl substituent of (S)-3-methyl-2-butanol. Similarly, the γ-carbon of the propyl substituent of (R)-3-hexanol occupied both positions that were available for (R)-2-butanol. For (S)-3-hexanol, however, only one position of the γ-carbon was identified. Possibly, one conformation was prevented due to steric hinders of placing the propyl substituent into the stereospecificity pocket. MD simulations of 500 ps were not enough to reach a steady value for the accumulated volume that the substrate had occupied during the simulation. This indicated that all of the conformational space had not been sampled within the time frame of the simulation in spite of that simulations of 500 ps are rather long for contemporary MD-studies [91-93]. 22 900 819 800 795 721 737 775 729 715 700 684 Volume (Å3) 600 500 400 300 200 100 0 3-hexanol 2-butanol R R S S 3-methyl-2-butanol R S 3,3-dimethyl-2butanol R S Figure 13. Substrate accessible volume in the active site of CALB determined with 500 ps molecular dynamics simulations of the octanoate esters of the sec-alcohols (paper IV). The grey bars represent the enantiomer with highest transition state entropy, see Table 2. Nevertheless, the largest substrate accessible volume corresponded to the enantiomer with the highest activation entropy for three of the four substrates, Figure 13. For 3,3-dimethyl2-butanol the substrate accessible volume did not correlate to the activation entropy. This bulky substrate is very restricted in the active site and the tert-butyl group did not rotate during the MD-simulation, Figure 14a. This was true for both enantiomers in their respective binding modes. Even some methyl groups displayed restricted rotation, Figure 14b. Possibly, the degree of insufficient sampling of the conformational space was more pronounced for this substrate. This substrate had a reaction rate several hundred times lower than the other substrates. One may expect the required simulation times to be correspondingly much longer for a comparable estimation of the substrate accessible volume of the active site. A second methodology to estimate the substrate accessible volumes and correlate it to DR-SDS‡ was investigated in paper IV. Through systematic searches by rotation of the substrate bonds an evaluation of the available volume was achieved. This method had the advantage of having no relation to the time frame of the actual physical events as in MD simulations. One drawback of this method was that the number of bonds and degrees of the rotation increments must be restricted for a computationally feasible problem. Hence only 23 a) c) b) Figure 14. (S)-3,3-dimethyl-2-butanol was highly restricted in the active site of Candida antarctica lipase B during a 500 ps molecular dynamics simulation. a) The tert-butyl substituent did not rotate. Hydrogens are not displayed. In panel b) and c) two different methyl groups of this substrate are magnified, which display restricted and free rotation respectively. Carbon in blue and hydrogens in green, yellow and red. (paper IV) a) c) b) Figure 15. Estimations of the substrate accessible volume of (S)-2-butanol. a) A single systematic search b) multiple (five) systematic searches and c) 500 ps molecular dynamics simulation. Hydrogens are not displayed, oxygen atom in black, carbon atoms in yellow red and blue (paper IV). rotations of bonds within the substrate were studied with the consequence that the enzyme was static within each systematic search. This is a very crude assumption as the enzyme is likely to move to accommodate the substrate in the transition state. To overcome this disadvantage several systematic searches were performed using different starting conformations of the enzyme-substrate structure. A more complete estimation of the total substrate accessible volume was achieved if the searches were overlapped. This is clearly visible in Figure 15a and 15b. The largest substrate accessible volume was found with this method for the entropically favored enantiomer of 2-butanol and 3-hexanol, Table 3. In this study, the starting conformations for the systematic searches were sampled structures from 24 Table 3. Volume (Å3) within the active site explored by the alcohol part of the substrate in systematic searches (paper IV). The total volume was calculated by superimposing the structures from all individual systematic searches. A comparison with the substrate accessible volume determined with a molecular dynamics (MD) simulation is shown in the last row. Search Volume (Å3) Substrate 3-hexanol 2-butanol 3-methyl3,3-dimethyl2-butanol 2-butanol R S R S R S R S 1 290 284 138 149 178 170 186 180 2 282 293 142 164 180 168 199 177 3 259 274 164 179 181 167 196 174 4 283 295 147 167 170 173 188 191 5 298 287 145 156 173 171 206 180 6 294 279 7 288 271 8 289 306 9 320 274 10 292 298 379 342 174 188 188 185 210 194 Total MD (V50ps) 298 253 182 194 189 173 202 199 V50ps represents the volume explored between time 50 and 500 ps in the MD simulation MD simulations. The lack of correlation for 3-methyl-2-butanol and 3,3-dimethyl-2-butanol may possibly be overcome by increasing the number of systematic searches and using more widely different starting conformations than the MD simulation generates. With systematic searches, energy barriers between different conformations are readily crossed and consequently a more complete sampling of the substrate accessible volume of the active site may be achieved. Comparing the resulting substrate-accessible volume achieved by the two methodologies, one notes that although multiple systematic searches are required for a complete analysis, a faster and more thorough analysis is achieved by this method, Figure 15b and 15c. It is practically impossible to separate the contribution to DR-SDS‡ related to restrictions of the substrate from other causes such as differential solvation effects or differential restriction of protein residues. Possibly, molecular modeling approaches that also take these effects into account could solve this separation in the future. 25 Table 4. Enantiomeric ratio, E, and its thermodynamic components for transesterifications of 3-methyl-2-butanol with different vinyl esters catalyzed by Candida antarctica lipase B (paper II). Acyl moiety E ∆R-S∆G‡ ∆R-S∆H‡ T∆R-S∆S‡ ∆R-S∆S‡ Tr 298 K 298 K 298 K kJ/mol kJ/mol kJ/mol J/mol,K K vinyl propionate 470 -15.3 1620 -18.7 ± 1.9 -3.4 ± 1.9 -11.5 ± 6.1 vinyl butanoate 390 -14.8 800 -23.6 ± 1.2 -8.2 ± 1.2 -29.6 ± 4.0 vinyl hexanoate 720 -16.3 1110 -22.3 ± 1.4 -6.0 ± 1.4 -20.1 ± 4.5 vinyl octanoate 810 -16.6 940 -24.3 ± 1.1 -7.7 ± 1.0 -25.9 ± 3.4 vinyl isobutanoate 480 -15.3 1060 -21.2 ± 1.8 -6.0 ± 1.7 -20.0 ± 5.7 octanoic acid 2500 -19.4 700 -33.7 ± 3.6 -14.3 ± 3.5 -48.1 ± 11.6 Errors were calculated from the standard errors of the linear regression of Equation 7 and E was calculated from the linear relation. Acyl moiety In the narrow active site of CALB the acyl and alcohol moieties bind in a hairpin orientation, Figure 10. It is thus not surprising that the acyl chain of the substrate interacts with the alcohol part of the substrate and consequently influences the chiral discrimination of alcohols. Hæffner et al. showed in molecular modeling calculations that even remote amino acid residues in the acyl binding site positioned far from the stereocenter interact differently with the enantiomeric transition states and thus contribute to enantioselectivity [98]. Raza et al. studied the influence of acyl chain length on enantioselectivity with molecular modeling and observed a significant difference in potential energies between the enantiomers as a function of the length of the acyl chain [93]. The acyl chain length of vinyl esters employed as acyl donors was shown experimentally to have a strong influence on E and its thermodynamic components (paper II). The highest enantioselectivity was achieved with the longest acyl chain, vinyl octanoate. E then decreased with chain length for the hexanoate and the butanoate but increased again somewhat for the vinyl propanoate, Table 4. The dissection of enantioselectivity into its thermodynamic components revealed that their individual contributions were not straightforward. The longer acyl chains (butanoyl, hexanoyl and octanoyl) differed mainly in their entropic components, but vinyl propanoate displayed also a significant change in the differential activation enthalpy. The resolution with a branched acyl donor, as in vinyl isobutanoate, yielded similar enantioselectivity as vinyl propanoate but with activation parameters of values intermediate between vinyl propanoate and vinyl butanoate (unpublished data). The molecular modeling study in paper IV revealed that the spatial freedom of the acyl chain (octanoate) in transition 26 700 614 600 573 571 558 566 559 528 500 Volume (Å3) 500 400 300 200 100 0 3-hexanol R S 2-butanol R S 3-metyl-2-butanol R S 3,3-dimetyl-2-butanol R S Figure 16. Substrate accessible volume for the acyl part of the tetrahedral intermediate in the 500ps molecular dynamics simulations of octanoate esters (paper IV). state was different for the enantiomers as well as for different alcohol moieties, Figure 16. Kinetic resolution of 3-methyl-2-butanol with octanoic acid as acyl donor showed surprisingly high enantioselectivity in comparison with vinyl octanoate (unpublished data). This increased enantioselectivity was caused by a significant increase in the absolute value of differential activation enthalpy that was accompanied by a significant increase in the absolute value of the counteracting differential activation entropy. However, DR-SDS‡ did not increase to the same extent in order to completely cancel the effects of the increase in DR-SDH‡. This observed difference in E and its differential activation parameters between the reaction with octanoic acid and vinyl octanoate is very intriguing as the chiral discriminatory transition states of these two reactions are identical, Figure 8. The acid may have affected the apparent pH of the aqueous microenvironment around the active site, or interacted with any ionized groups of the protein or in some other way affected the structure or flexibility of the enzyme [99]. 27 Table 5. Enantiomeric ratio, E, and its thermodynamic components for the kinetic resolution of 3-methyl-2-butanol catalyzed by Candida antarctica lipase B and variants with point mutations (paper III). Vinyl octanoate was used as the acyl donor. ∆∆∆H‡ and ∆∆∆S‡ represents the change in ∆R-S∆H‡ and ∆R-S∆S‡ relative to wild-type. E ∆R-S∆G‡ ∆∆∆H‡ T∆∆∆S‡ ∆R-S∆S‡ ∆R-S∆H‡ Tr Enzyme 296 K Wild type T103G W104H T42V S47A T42V/S47A 1000 2100 150 500 340 390 296 K kJ/mol -16.9 -18.9 -12.3 -15.4 -14.3 -14.7 kJ/mol -20.8 ± 0.9 -31.7 ± 0.1 -44.7 ± 1.0 -16.7 ± 0.9 -18.3 ± 0.7 -18.1 ± 0.4 J/mol, K -13.2 ± 3.0 -43.4 ± 0.4 -109.5 ± 3.3 -4.5 ± 2.9 -13.4 ± 2.4 -11.5 ± 1.4 kJ/mol 0 -10.9 -23.8 +4.1 +2.6 +2.8 296 kJ/mol 0 -8.9 -28.5 +2.6 -0.1 +0.5 K 1570 730 410 3740 1360 1570 Errors were calculated from the standard errors of the linear regression of Equation 7 and E was calculated from the linear relation. Role of the protein There are a number of ways in which the protein can be affected to influence enzyme enantioselectivity. Reports of changes in E caused by different immobilization techniques [100], enzyme preparation [81] and mutagenesis [101] are all found in literature. Some may have other causes than actual changes on the protein structure, such as diffusion limitations within the catalyst particles of substrates to the active site [102]. Thermodynamic analysis of observed changes in E with changes on the protein are, however, not common. More information and conclusions may be drawn from the thermodynamic components than from simply studying changes in the enantiomeric ratio. Thermodynamic analysis Overbeeke et al. performed thermodynamic analyses of observed changes in E with a series of CALB-preparations chemically modified by covalent attachment of MPEG (polyethylene glycol monomethyl ether), OPEG (polyethylene glycol monooctyl ether) and 1-octanol [85]. These modifications were shown to affect E and its differential activation parameters for the kinetic resolution of 3-methyl-2-butanol with vinyl butyrate in hexane. There are discrepancies between the activation parameters for native CALB found in that study and in paper II. A possible explanation to this is that Overbeeke et al. used a lyophilized enzyme preparation whereas in paper II an immobilized commercial preparation was used. In their study the native CALB preparation and two preparations with different extent of MPEG modification display negative differential activation enthalpy but positive 28 prot ein ce rfa su acy l sit e S105 L alcoh ol site M T42 W104 nucleophilic elbow T103 S47 Figure 17. Positions of the residues in Candida antarctica lipase B which were subjected to point mutations in paper III. The preferred enantiomer of a sec-alcohol is displayed in its reactive binding mode [60]. differential activation entropy. This is the unusual case of one enantiomer being favored both by enthalpy and entropy. OPEG and 1-octanol modified CALB on the other hand display counteracting differential activation parameters. The study proposes no clear correlation of any structural or physical parameters of the modifier but an enthalpy-entropy compensation of DR-SDH‡ and DR-SDS‡ is claimed. Variations on the protein, in the form of one or two point mutations, were studied in paper III for their effect on enantioselectivity and its thermodynamic components, Table 5. E was drastically changed for better (T103G, E=2100) or worse (W104H, E=150) in the resolution of 3-methyl-2-butanol compared to that catalyzed by wild type CALB (E=1000). The underlying changes in the differential activation parameters, that caused these changes in E, displayed a compensatory nature, as DR-SDH‡ and DR-SDS‡ regularly do. However, the compensation was not perfect, which allowed the possibility to modify E. Although all changes in E caused by the point mutations were caused by simultaneous changes in both DR-SDH‡ and DR-SDS‡ it is noteworthy that for both T103G and W104H, which showed opposite effects on E, the absolute values of DR-SDH‡ and DR-SDS‡ increased significantly. Increased absolute values of the differential activation parameters as observed for these two variants must be caused by structural changes that either enthalpically favored or entropically disfavored the R-enantiomer transition state, vice versa for the S-enantiomer or a combination. 29 The increase in the absolute value of DR-SDH‡, for the T103G variant, was not to the full extent compensated by the increase in DR-SDS‡ resulting in the increase in E. On the other hand for W104H the increase in DR-SDH‡ was more than compensated by the increase in DR-SDS‡ resulting in a dramatic decrease in enantioselectivity. Models that exclude the contribution of entropy would thus predict an erroneously high E-value for the W104H variant. T103G constitutes part of what is usually termed the nucleophilic elbow, Figure 17, and the mutation reintroduces the consensus sequence, GXSXG, common to many other lipases. Possibly, the mutation brought about structural changes in the active site that decreased the size of the stereospecificity pocket. Residue W104 is positioned in the bottom of the active site and makes up part of the boundaries of the alcohol binding site and the stereospecificity pocket. The mutation of this residue to a histidine liberated a large volume in the active site. Whether this caused structural changes or left a free volume in the active site is not known until the structure is determined. The dramatic drop in E may be interpreted as if the mutation increased the volume of the stereospecificity pocket and hence reduced the steric differences between the enantiomers. This is, however, a premature conclusion as observed in the changes in the differential activation parameters. The actual difference in transition state enthalpy has in fact increased and not decreased, as one might have guessed from the observation of E alone. The structural change has in some way caused the R-enantiomer to be even more favored by enthalpy and disfavored by entropy or vice versa for the S-enantiomer. Rotticci et al. designed three variants T42V, S47A and T42V/S47A, for the improvement of CALB enantioselectivity to halohydrins [97]. In these variants hydroxyl groups within the active site stereospecificity pocket have been removed in exchange for a methyl and a hydrogen. Repulsive interactions between these hydroxyl groups and the halogens were proposed to be removed in the variants and hence halohydrins with halogens on their medium-sized substituent were expected to be more successfully resolved [96, 97]. In Table 6 one can note that the S47A and T42V/S47A variants did in fact show increased enantioselectivity towards 1-bromo-2-butanol and 1-chloro-2-butanol whereas T42V showed no effect (Paper III and [97]). The intermediate E values expressed by the double mutation variant T42V/S47A indicated that the effects were not simply additive. The resolution of 3-methyl-2-butanol by these variants showed decreased enantioselectivity. On closer inspection of the thermodynamic components the complex nature of enantioselectivity and the possible erroneous conclusions one may draw from changes in E alone become evident. The mutation, T42V, that had the least effect on E for 3-methyl-2-butanol, 1-bromo-2-butanol and 30 Table 6. Enantioselectivity, E, of Candida antarctica lipase B and variants (paper III). Enzyme E 1-bromo-21-chloro-23-methyl-2a a octanol octanol butanolb 296 K 296 K 296 K Wild type 970 6.5 ± 0.4 14 ± 2 T42V 520 6.7 ± 0.3 15 ± 2 S47A 340 12.4 ± 0.4 28 ± 3 T42VS47A 390 9.4 ± 0.8 20 ± 2 Errors are one standard deviation. E for 3-methyl-2-butanol was calculated from the linear relation of Equation 7. a) Transesterified with vinyl butanoate. b) Transesterified with vinyl octanoate. 1-chloro-2-butanol displayed the largest changes in the differential activation parameters compared to wild type, Table 5. Again these changes are hidden in E due to the compensatory nature of enthalpy and entropy. The study on the effect of variation on the protein (paper III) stress the importance of entropy in enantioselectivity and the importance of not drawing premature conclusions from E alone or from enzyme models that exclude the consideration of entropy. It is encouraging to see that although enthalpy and entropy have a compensatory nature, this compensation is not perfect, allowing for protein modifications to improve enantioselectivity. The popular random (combinatorial) approaches of protein engineering for improved properties of proteins [15] in combination with rational approaches and analysis of their results will increase the understanding of protein structure-function relationships immensely. Possibly, the prospect of general rational design of new and improved biocatalysts does not lie far ahead into the future. Role of the solvent It is well recognized that enzyme performance is strongly affected by the choice of solvent. Even reversal of substrate specificity [103, 104] and enantiopreference [105, 106] has been observed by a change of solvent. The idea of solvent engineering is very appealing as the solvent is an easily controlled reaction parameter. Consequently, much research have been performed aimed to elucidate and understand the mechanisms of solvent effects on enzyme reactions. Several rationales for solvent effects on enzyme enantioselectivity have been proposed, but none has shown general applicability. Many enzymes are affected by the water activity of the reaction system [107-109]. It seems that enzymes require a degree of hydration to remain active and that their flexibility 31 and ability to accommodate the substrates are affected by water activity. However, CALB seems to be little affected by variations in water activity in the resolution of sec-alcohols ([58, 110], unpublished data). The hydrophobicity of the solvent is another well-studied parameter for solvent effects on enzyme enantioselectivity. Several studies report decreasing E with an increase in solvent logP, where P is the partition coefficient between octanol and water [111-115]. This is however not a general observation [26, 116-119]. Dipole moment and dielectricity constant are other solvent parameters that have been tested for and claimed to have correlations to E [116]. One model, based on molecular modeling, for rationalization of solvent effects on E has been developed in the group of Klibanov. It is based on the assumption that solvent effects are caused by differential desolvation free energy of the enzyme-substrate transition states. The desolvated parts of the substrates are estimated through molecular modeling and their thermodynamic activity coefficients are estimated with the UNIFAC algorithm [120]. Enantioselectivity and the ratio of the activity coefficients of the substrates are proposed to be related according to logE = log(gR/gS) + constant. This model has been successful for some reaction systems [121, 122] but neither this model has shown general applicability [123, 124]. None of the mentioned models view the solvent on a molecular level, instead the solvent properties are treated as a continuum. A full understanding of solvent effects lies yet in the future and the effects are most certainly composed of several different interacting mechanisms [125]. Hopefully, thermodynamic analysis, such as in paper V, can bring further light on this matter. Thermodynamic analysis In 1996 Noritomi et al. showed that the solvent influences the temperature dependence of enantioselective enzymatic reactions [81]. In that study, E for the transesterification of secphenethyl alcohol catalyzed by Rhizomucor miehei lipase and subtilisin Carlsberg was studied at two and three temperatures respectively. Depending on the solvent, increasing E with temperature (Texp>Tr), decreasing E (Texp<Tr or Tr<0), and practically unaffected E (DDH‡»0) were observed. If their data are plotted according to relative Arrhenius plots and the differential activation parameters are determined, one notes that the changes in E were caused by changes in both DDH‡ as well as DDS‡. In the same study nine different enzyme preparations of subtilisin were tested and were shown to have very different E and 32 Table 7. Enantiomeric ratio, E, and its thermodynamic components for Candida antarctica lipase B catalyzed transesterifications of 3-methyl-2-butanol with vinyl octanoate in nonaqueous solvents (paper V). Solvent Volume E ∆R-S∆G‡ ∆R-S∆H‡ T∆R-S∆S‡ ∆R-S∆S‡ Tr 298 K 298 K 298 K Å3 kJ/mol kJ/mol kJ/mol J/mol,K K 154 890 -16.8 950 Decaline -25 ± 2.4 -7.7 ± 2.3 -26 ± 7.5 109 810 -16.6 940 Hexane -24 ± 1.1 -7.7 ± 1.1 -26 ± 3.4 82 820 -16.6 Cyclopentane -23 ± 3.1 -6.5 ± 3.1 -22 ±10.2 1060 80 580 -15.8 1,4-dioxane -18 ± 0.3 -2.2 ± 0.3 -7.3± 1.1 2460 74 710 -16.3 Tetrahydrofuran -20 ± 0.6 -3.2 ± 0.7 -11 ± 2.1 1790 60 650 -16.0 Acetone -18 ± 1.2 -1.7 ± 1.2 -5.7± 4.0 3090 50 580 -15.8 Dichloromethane -21 ± 1.6 -4.8 ± 1.7 -16 ± 5.5 1270 39 600 -15.9 Carbon disulfide -20 ± 1.7 -4.4 ± 1.7 -15 ± 5.6 1370 a a 26 330 -14.4 SCCO2 -19 ± 1.6 -4.7 ± 1.4a -16 ± 4.7 1210 Errors were calculated from the standard errors of the linear regression of Equation 7 and E was calculated from the linear relation. a ) Value calculated with extrapolation out of the experimental temperature range. temperature dependence of E. One should bear in mind that with only two or three temperatures linearity of Arrhenius plots and thus the relevancy of the model (Equation 6 or 7) cannot be verified. Furthermore, diffusional limitations may yield apparent E-values lower than the intrinsic E of the enzyme [102]. Simpson et al. [126] observe that E and the temperature dependence of E in the oxidation of 2-butanol catalyzed by a secondary alcohol dehydrogenase varies with the amount of added cosolvent, acetonitrile. They make no analysis of the differential activation parameters, probably because only three temperatures are studied. Rough estimation of DDH‡ and DDS‡ on their data, however, indicated that the changes in E upon cosolvent addition were caused by changes in both differential activation enthalpy and entropy. Complete thermodynamic analyses of changes in E with solvent composition for four enzyme reaction systems were presented by Overbeeke et al. [127]. Changes in cosolvent addition to both aqueous and non-aqueous media systems were studied. All systems were below the racemic temperature and hence displayed increasing E with decreasing temperature. The variation of E upon changes in solvent composition varied. Maxima, minima and continually increasing values were observed. The underlying changes in the differential activation parameters to these variations in E lie on both DR-SDH‡ and DR-SDS‡. The changes on both components were large, but as they are counteracting when combined to the difference in Gibbs free energy the effect on E was reduced. 33 1600 1400 SCCO SCCO2 2 Carbon disulfide Dichloromethane Acetone Tetrahydrofuran Dioxane Cyclopentane Hexane Decaline Hexane 21.4 MPa 1200 1000 E 800 600 400 200 0 0 20 40 60 80 100 Temperature (°C) Figure 18. The enantiomeric ratio, E, as a function of temperature for the kinetic resolution of 3-methyl-2-butanol catalyzed by Candida antarctica lipase B in a range of non-aqueous solvents (paper V). Vinyl octanoate was used as the acyl donor. 1000 900 cis -decaline 800 Cyclopentane 700 Hexane Tetrahydrofuran Acetone 600 Carbon disulfide Dichloromethane E 500 (298 K) 1,4-dioxane 400 300 SCCO2 200 100 0 0 50 100 150 200 V (Å3) Figure 19. The enantiomeric ratio, E, as a function of the size of the solvent molecule for the kinetic resolution of 3-methyl-2-butanol catalyzed by Candida antarctica lipase B (paper V). Vinyl octanoate was used as the acyl donor. 34 0 50 100 150 200 0 -5 -10 (kJ/mol) -15 -20 -25 -30 Solvent volume (Å3) Figure 20. Differential activation free energy (◊), ∆R-S∆G‡, and its enthalpic (●), ∆R-S∆H‡, and entropic (■), T∆R-S∆S‡, components at 298 K for the enantioselective transesterification of 3-methyl-2-butanol with vinyl octanoate catalyzed by Candida antarctica lipase B in solvents of different molecular volumes (paper V). Error bars are calculated from the standard errors of the linear regression of Equation 7. Solvent effects on E, caused by changes of both differential activation enthalpy and entropy were also observed in paper V. CALB-catalyzed kinetic resolution through transesterification was studied in eight non-aqueous liquid media and supercritical carbon dioxide (SCCO2), Table 7. The enantiomeric ratio varied significantly with the choice of solvent at all temperatures studied, Figure 18, and a correlation of E with the molecular size of the solvent molecules was found, Figure 19. In the model of Orrenius et al. [60] the enantiomers have different orientations in transition state, which may result in very different interactions between the solvent and the activated enzyme-substrate complex. Differential solvation may thus contribute to the differential activation parameters. For instance, a difference in the number of solvent molecules involved in the solvation of the transition state could contribute to DDS‡. If so, the size of the solvent molecule would influence the value of DDS‡. A solvent with large molecular volume will lose translational entropy of fewer solvent molecules than one with smaller molecular volume when restricted in the active site. The differential activation parameters determined in paper V indicated a stepwise change with the solvent volume, Figure 20. The small volume solvents displayed intermediate absolute values of the differential activation parameters, the medium-sized solvents small values and the 35 large-sized solvents had large values. An upper limit would be reached when the solvent size is too large and there is no difference between the enantiomers in the number of solvent molecules involved in solvation of the transition state. For hexane and cis-decaline, E and its temperature dependence was practically identical which suggests that this upper limit had been reached. The remaining entropic contribution may consist of differential conformational freedom of the substrate or the protein. However, as there is also a correlation between solvent size and hydrophobicity of the solvent we cannot rule out that the observed effects are related to hydrophobicity until a large polar or small hydrophobic solvent have been tested. Recent finding that ionic liquids function as solvents for enzymatic reactions are of interest in this respect [128]. Enthalpy-entropy compensation Enthalpy-entropy compensation phenomena have been observed many times ([129, 130], paper I). Both in the study of Overbeeke et al. [127] and in paper V a strikingly good linear correlation was found between DR-SDH‡ and DR-SDS‡ of varying solvent composition, Figure 21. In paper I it was shown that a general enthalpy-entropy compensation relation for enantioselective systems is an artifact of the range of quantifiable E-values. Several authors have pointed out that this compensation very often is an artifact arising from statistical errors and not a real chemical compensation [131-133]. McBane illustrates this elegantly by showing that extremely good linear correlations may be achieved from a completely random data set [133]. The only possibility to improve the statistics is to increase the temperature range of the data sampling. This is however normally impossible for enzymatic systems as they are limited by enzyme inactivation at high temperatures and low activity at low temperatures. Krug et al. sets up procedures to identify any real chemical compensation from artifactual statistic ones [134-136]. These procedures have, in part, been used on both the data in paper V as well as in the study of Overbeeke et al. Although the procedures could not with certainty verify that the compensation is of non-statistical origin there were at least strong indications of a chemical compensation. In the study of Overbeeke et al. differential activation enthalpy and entropy form hairpin shaped relations that they propose indicate the existence of two thermodynamic states of the protein and that solvent changes affect the equilibrium constant between these two states. One may note from the study in paper V that the reaction catalyzed in SCCO2 did not follow the enthalpy-entropy compensation observed for the eight 36 -25 -23 -21 -19 -17 -5 60Å3 80Å3 ‡ DDS (J/mol, K) 74Å3 39Å3 50Å3 -15 -20 82Å3 154Å3 109Å 26Å3 -10 -25 3 -30 ‡ DDH (kJ/mol) Figure 21. Differential activation entropy as a function of differential activation enthalpy for the kinetic resolution of 3-methyl-2-butanol catalyzed by Candida antarctica lipase B in a range of solvents of different molecular size (paper V). Vinyl octanoate was used as the acyl donor. See Table 7 for identification of solvent with its volume. R2 from a linear regression is 0.9904 if SCCO2 (26 Å3) is excluded and 0.9367 when included. liquid solvents, Figure 21. This implies that the reaction in the supercritical media was in some way different in mechanism compared to the reaction in the condensed liquid media. As the reaction catalyzed in pressurized hexane showed no variation in enantiomeric ratio compared to the reaction in hexane at atmospheric pressure, the effect was not caused by the increased pressure. The nature of this different mechanism is unclear but changes on the protein structure caused by SCCO2 are possible. Carbon dioxide is known to covalently modify lysine residues and it may associate with the hydration shell of the enzyme, lowering the effective pH in the enzyme microenvironment. 37 Concluding remarks Our understanding of enzyme specificity has advanced greatly from the static view of Fischer’s “lock and key” mechanism. It is evident that both enzyme and substrate are dynamic objects that accommodate each other. However, there is still much to learn about the structure function relationships of enzymes before sufficient knowledge on a molecular level is acquired to allow rational design of enzymes. For enantioselective enzymes a better understanding of the roles of differential activation enthalpy and entropy, in particular, may enable such rational design. Entropy is for most of us an abstract concept although strictly defined, or in fact postulated, as a state function in the second law of thermodynamics. The activation entropy of enzyme reactions is certainly composed of several contributions. Solvation, loss of translational, rotational and vibrational degrees of freedom for the substrate and enzyme residues all contribute to the activation entropy. Separation of the various components is practically impossible since changing one parameter invariably changes the conditions for the other parameters simultaneously. The compensative character of enthalpy and entropy further complicates the elucidation of their individual roles. The advances of handling activation entropy within molecular modeling [137, 138] are however promising for the development of complete models of enzymatic systems that take both enthalpy and entropy into account. This may bring forth the possibility not only of rational design for improvement of enzymes for already existing reactions but possibly be of value for the design of catalysts for new reactions. 38 Acknowledgements I would like to express my sincere gratitude to all involved in the making of this thesis. I am especially grateful to my supervisor Professor Karl Hult for his support, encouragement and contagious enthusiasm to science. Also for all the non-scientific excursions he has guided on skates, skis, rafts and foot that make fine memories. All the collaborators in the European Union project (grant number BIO4-CT95-0231) from Milan and Delft are thanked for rewarding and fruitful discussions and collaborations. I am indebted to the members of the biocatalysis group that provided invaluable comments to the manuscript of this thesis. All past and present members of the biocatalysis group are thanked for providing a friendly and stimulating working atmosphere. Professor Torbjörn Norin for his encouragement and advice. Docent Per Berglund who has generously shared his expertise and vast literature library. My constant office and lab companion Fredrik Viklund for his patient support in many matters. Linda Fransson for fun collaboration and her untiring and generous help with pictures and comments to the papers and the thesis. My coauthors Joke Rotticci-Mulder and Didier Rotticci for all help and exciting collaborations. Special thanks to Dr. Jerry King, my supervisor and mentor in the field of supercritical fluids. I am most grateful to the members and collaborators of his supercritical fluids group at NCAUR in Peoria, Illinois. Jeff Teel is varmly thanked for his invaluable technical expertise and generous help. Thanks to Janne Lehtiö for your help in our parallel race against the clock, and for putting me in the nice position of always having two more weeks. 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