8885dc06190-2371/27/047:13 AM Page190 chapter ENZYMES 6.1 An Introduction to Enzymes 191 H2O in the presence of oxygen is a highly exergonic 6.2 How Enzymes Work 193 process, releasing free energy that we can use to think, move, taste, and see. However, a bag of sugar can re- 6.3 Enzyme Kinetics as an Approach to Understanding main on the shelf for years without any obvious con Mechanism 202 version to CO2 and H.O. Although this chemical process 6.4 Examples of Enzymatic Reactions 213 is thermodynamically favorable, it is very slow! Yet when 6.5 Regulatory Enzymes 225 sucrose is consumed by a human (or almost any other organism), it releases its chemical energy in seconds The difference is catalysis. Without catalysis, chemical reactions such as sucrose oxidation could not occur on One way in which this condition might be fulfilled would a useful time scale and thus could not sustain life be if the molecules when combined with the enzyme, lay In this chapter, then, we turn our attention to the slightly further apart than their equilibrium distance when reaction catalysts of biological systems: the enzymes, [covalently joined], but nearer than their equilibrium distance when free.... Using fischers lock and ke Enzymes have extraordinary catalytic power, often far greater than that of synthetic or inorganic catalysts simile, the key does not fit the lock quite perfectly but They have a high degree of specificity for their sub- exercises a certain strain on it strates, they accelerate chemical reactions tremen- . B S Haldane, Enzymes, 1930 dously, and they function in aqueous solutions under very mild conditions of temperature and pH Few non- Catalysis can be described formally in terms of a biological catalysts have all these properties stabilization of the transition state through tight binding to Enzymes are central to every biochemical process. Acting in organized sequences, they catalyze the the catalyst. hundreds of stepwise reactions that degrade nutrient William P Jencks, article in Advances in Enzymology, 1975 molecules, conserve and transform chemical energy, and make biological macromolecules from simple pre cursors. Through the action of regulatory enzymes metabolic pathways are highly coordinated to yield a here are two fundamental conditions for life. First, harmonious interplay among the many activities ne the living entity must be able to self-replicate(a top essary to sustain life onsidered in Part ID; second, the organism must be The study of enzymes has immense practical im- able to catalyze chemical reactions efficiently and se portance. In some diseases, especially inheritable ge- lectively. The central importance of catalysis may sur- netic disorders, there may be a deficiency or even a prise some beginning students of biochemistry, but it is total absence of one or more enzymes. For other dis easy to demonstrate. As described in Chapter 1, living ease conditions, excessive activity of an enzyme may be ystems make use of energy from the environment he cause. Measurements of the activities of enzymes in Many of us, for example, consume substantial amounts blood plasma, erythrocytes, or tissue samples are im- of sucrose---common table sugar-as a kind of fuel, portant in diagnosing certain illnesses. Many drugs ex- whether in the form of sweetened foods and drinks or ert their biological effects through interactions with as sugar itself. The conversion of sucrose to COe and enzymes. And enzymes are important practical tools
chapter T here are two fundamental conditions for life. First, the living entity must be able to self-replicate (a topic considered in Part III); second, the organism must be able to catalyze chemical reactions efficiently and selectively. The central importance of catalysis may surprise some beginning students of biochemistry, but it is easy to demonstrate. As described in Chapter 1, living systems make use of energy from the environment. Many of us, for example, consume substantial amounts of sucrose—common table sugar—as a kind of fuel, whether in the form of sweetened foods and drinks or as sugar itself. The conversion of sucrose to CO2 and H2O in the presence of oxygen is a highly exergonic process, releasing free energy that we can use to think, move, taste, and see. However, a bag of sugar can remain on the shelf for years without any obvious conversion to CO2 and H2O. Although this chemical process is thermodynamically favorable, it is very slow! Yet when sucrose is consumed by a human (or almost any other organism), it releases its chemical energy in seconds. The difference is catalysis. Without catalysis, chemical reactions such as sucrose oxidation could not occur on a useful time scale, and thus could not sustain life. In this chapter, then, we turn our attention to the reaction catalysts of biological systems: the enzymes, the most remarkable and highly specialized proteins. Enzymes have extraordinary catalytic power, often far greater than that of synthetic or inorganic catalysts. They have a high degree of specificity for their substrates, they accelerate chemical reactions tremendously, and they function in aqueous solutions under very mild conditions of temperature and pH. Few nonbiological catalysts have all these properties. Enzymes are central to every biochemical process. Acting in organized sequences, they catalyze the hundreds of stepwise reactions that degrade nutrient molecules, conserve and transform chemical energy, and make biological macromolecules from simple precursors. Through the action of regulatory enzymes, metabolic pathways are highly coordinated to yield a harmonious interplay among the many activities necessary to sustain life. The study of enzymes has immense practical importance. In some diseases, especially inheritable genetic disorders, there may be a deficiency or even a total absence of one or more enzymes. For other disease conditions, excessive activity of an enzyme may be the cause. Measurements of the activities of enzymes in blood plasma, erythrocytes, or tissue samples are important in diagnosing certain illnesses. Many drugs exert their biological effects through interactions with enzymes. And enzymes are important practical tools, ENZYMES 6.1 An Introduction to Enzymes 191 6.2 How Enzymes Work 193 6.3 Enzyme Kinetics as an Approach to Understanding Mechanism 202 6.4 Examples of Enzymatic Reactions 213 6.5 Regulatory Enzymes 225 One way in which this condition might be fulfilled would be if the molecules when combined with the enzyme, lay slightly further apart than their equilibrium distance when [covalently joined], but nearer than their equilibrium distance when free. . . . Using Fischer’s lock and key simile, the key does not fit the lock quite perfectly but exercises a certain strain on it. —J. B. S. Haldane, Enzymes, 1930 Catalysis can be described formally in terms of a stabilization of the transition state through tight binding to the catalyst. —William P. Jencks, article in Advances in Enzymology, 1975 6 190 8885d_c06_190-237 1/27/04 7:13 AM Page 190 mac76 mac76:385_reb:
8885dc06190-2371/27/047:13 AM Page191mac76mac76:385 6.1 An Introduction to Enzymes 191 not only in medicine but in the chemical industry, food structure and chemical mechanism of many of them, and processing, and agriculture a general understanding of how enzymes work. e begin with descriptions of the properties of en- zymes and the principles underlying their catalytic Most Enzymes Are Proteins power, then introduce enzyme kinetics, a discipline that provides much of the framework for any discussion of with the exception of a small group of catalytic rNa nzymes. Specific examples of enzyme mechanisms are molecules(Chapter 26), all enzymes are proteins. Their then provided, illustrating principles introduced earlier catalytic activity depends on the integrity of their na- tive protein conformation. If an enzyme is denatured ol in the chapter. We end with a discussion of how enzyme dissociated into its subunits, catalytic activity is usually activity is regulated lost. If an enzyme is broken down into its component amino acids, its catalytic activity is always destroyed 6.1 An Introduction to Enzymes Thus the primary, secondary, tertiary, and quaternary structures of protein enzymes are essential to their cat Much of the history of biochemistry is the history of en- alytic activity zyme research. Biological catalysis was first recognized Enzymes, like other proteins, have molecular and described in the late 1700s. in studies on the di- weights ranging from about 12,000 to more than I mil- gestion of meat by secretions of the stomach, and re- lion. Some enzymes require no chemical groups for search continued in the 1800s with examinations of the activity other than their amino acid residues. Others conversion of starch to sugar by saliva and various plant require an additional chemical component called a extracts In the 1850s. Louis pasteur concluded that fer- cofactor--either one or more inorganic ions, such as mentation of sugar into alcohol by yeast is catalyzed by Fe, Mg, Mn-t, or Zn (Table 6-1), or a complex ferments. He postulated that these ferments were in- organic or metalloorganic molecule called a coenzyme separable from the structure of living yeast cells; this (Table 6-2). Some enzymes require both a coenzyme view, called vitalism, prevailed for decades. Then in 1897 Eduard Buchner discovered that yeast extracts could ferment sugar to alcohol, proving that fermentation was TABLE 6-1 Some Inorganic Elements That promoted by molecules that continued to function when Serve as Cofactors for Enzymes removed from cells. Frederick W. Kuhne called these molecules enzymes. As vitalistic notions of life were Cytochrome oxidase disproved, the isolation of new enzymes and the inves Fe or Fe Cytochrome oxidase, catalase, peroxidase tigation of their properties advanced the science of Pyruvate kinase biochemistry. Hexokinase, glucose 6-phosphatase, The isolation and crystallization of urease by James Sumner in 1926 provided a breakthrough in early enzyme Arginase, ribonucleotide reductase studies. Sumner found that urease crystals consisted Dinitrogenase entirely of protein, and he postulated that all enzymes Urease are proteins. In the absence of other examples, this Se Glutathione peroxidase idea remained controversial for some time. Only in the Carbonic anhydrase, alcohol 1930s was Sumner's conclusion widely accepted, after dehydrogenase, carboxypeptidases John Northrop and Moses Kunitz crystallized pepsin, A and B trypsin, and other digestive enzymes and found them also to be proteins. During this period L.B. S. Haldane wrote a treatise entitled Enzymes. Although the molecular nature of enzymes was not yet fully appreciated Haldane made the remarkable suggestion that weak bonding interactions between an enzyme and its substrate might be used to catalyze a reaction. This insight lies at the heart of our current under- Since the latter part of the twentieth century, research on enzymes has been intensive. It has led to the purification of Eduard Buchner, James Sumner 1. B S. Haldane thousands of enzymes, elucidation of the 1860-1917 1887-1955 1892-1964
not only in medicine but in the chemical industry, food processing, and agriculture. We begin with descriptions of the properties of enzymes and the principles underlying their catalytic power, then introduce enzyme kinetics, a discipline that provides much of the framework for any discussion of enzymes. Specific examples of enzyme mechanisms are then provided, illustrating principles introduced earlier in the chapter. We end with a discussion of how enzyme activity is regulated. 6.1 An Introduction to Enzymes Much of the history of biochemistry is the history of enzyme research. Biological catalysis was first recognized and described in the late 1700s, in studies on the digestion of meat by secretions of the stomach, and research continued in the 1800s with examinations of the conversion of starch to sugar by saliva and various plant extracts. In the 1850s, Louis Pasteur concluded that fermentation of sugar into alcohol by yeast is catalyzed by “ferments.” He postulated that these ferments were inseparable from the structure of living yeast cells; this view, called vitalism, prevailed for decades. Then in 1897 Eduard Buchner discovered that yeast extracts could ferment sugar to alcohol, proving that fermentation was promoted by molecules that continued to function when removed from cells. Frederick W. Kühne called these molecules enzymes. As vitalistic notions of life were disproved, the isolation of new enzymes and the investigation of their properties advanced the science of biochemistry. The isolation and crystallization of urease by James Sumner in 1926 provided a breakthrough in early enzyme studies. Sumner found that urease crystals consisted entirely of protein, and he postulated that all enzymes are proteins. In the absence of other examples, this idea remained controversial for some time. Only in the 1930s was Sumner’s conclusion widely accepted, after John Northrop and Moses Kunitz crystallized pepsin, trypsin, and other digestive enzymes and found them also to be proteins. During this period, J. B. S. Haldane wrote a treatise entitled Enzymes. Although the molecular nature of enzymes was not yet fully appreciated, Haldane made the remarkable suggestion that weak bonding interactions between an enzyme and its substrate might be used to catalyze a reaction. This insight lies at the heart of our current understanding of enzymatic catalysis. Since the latter part of the twentieth century, research on enzymes has been intensive. It has led to the purification of thousands of enzymes, elucidation of the structure and chemical mechanism of many of them, and a general understanding of how enzymes work. Most Enzymes Are Proteins With the exception of a small group of catalytic RNA molecules (Chapter 26), all enzymes are proteins. Their catalytic activity depends on the integrity of their native protein conformation. If an enzyme is denatured or dissociated into its subunits, catalytic activity is usually lost. If an enzyme is broken down into its component amino acids, its catalytic activity is always destroyed. Thus the primary, secondary, tertiary, and quaternary structures of protein enzymes are essential to their catalytic activity. Enzymes, like other proteins, have molecular weights ranging from about 12,000 to more than 1 million. Some enzymes require no chemical groups for activity other than their amino acid residues. Others require an additional chemical component called a cofactor—either one or more inorganic ions, such as Fe2, Mg2, Mn2, or Zn2 (Table 6–1), or a complex organic or metalloorganic molecule called a coenzyme (Table 6–2). Some enzymes require both a coenzyme 6.1 An Introduction to Enzymes 191 Cu2 Cytochrome oxidase Fe2 or Fe3 Cytochrome oxidase, catalase, peroxidase K Pyruvate kinase Mg2 Hexokinase, glucose 6-phosphatase, pyruvate kinase Mn2 Arginase, ribonucleotide reductase Mo Dinitrogenase Ni2 Urease Se Glutathione peroxidase Zn2 Carbonic anhydrase, alcohol dehydrogenase, carboxypeptidases A and B TABLE 6–1 Some Inorganic Elements That Serve as Cofactors for Enzymes Eduard Buchner, 1860–1917 James Sumner, 1887–1955 J. B. S. Haldane, 1892–1964 8885d_c06_190-237 1/27/04 7:13 AM Page 191 mac76 mac76:385_reb:
8885dc06_190-2371/27/047:13 AM Page19 6mac76:385 Chapter 6 Enzymes TABLE 6-2 Some Coenzymes That Serve as Transient Carriers of Specific Atoms or Functional Grou zyme Examples of chemical groups transferred Dietary precursor in mammals Biocytin Biotin Coenzyme A Acyl groups Pantothenic acid and other compounds 5-Deoxyadenosylcobalamin H atoms and alkyl groups Vitamin B12 penzyme B, Flavin adenine dinucleotide Electrons Riboflavin(vitamin B2) Electrons and acyl groups Not required in diet Nicotinamide adenine dinucleotide Hydride ion(:H) Nicotinic acid(niacin Pyridoxal phosphate Amino groups ridoxine(vitamin B6) Tetrahydrofolate One-carbon groups Folate Thiamine pyrophosphate Aldehydes Thiamine(vitamin B1) Note The structures and modes of action of these coenzymes are described in Part IL and one or more metal ions for activity. A coenzyme or tion, before the specific reaction catalyzed was known metal ion that is very tightly or even covalently bound For example, an enzyme known to act in the digestion to the enzyme protein is called a prosthetic group. a of foods was named pepsin, from the greek pepsis, " di- complete, catalytically active enzyme together with its gestion, and lysozyme was named for its ability to lyse bound coenzyme and/or metal ions is called a holon- bacterial cell walls. Still others were named for their zyme. The protein part of such an enzyme is called the source: trypsin, named in part from the greek tryein, apoenzyme or apoprotein Coenzymes act as tran-"to wear down, was obtained by rubbing pancreatic sient carriers of specific functional groups. Most are de- tissue with glycerin. Sometimes the same enzyme has rived from vitamins, organic nutrients required in small two or more names, or two different enzymes have the amounts in the diet. We consider coenzymes in more same name. Because of such ambiguities, and the ever- detail as we encounter them in the metabolic pathways increasing number of newly discovered enzymes discussed in Part Il. Finally, some enzyme proteins are biochemists, by international agreement, have adopted modified covalently by phosphorylation, glycosylation, a system for naming and classifying enzymes. This sys and other processes. Many of these alterations are in- tem divides enzymes into six classes, each with sub volved in the regulation of enzyme activity. classes, based on the type of reaction catalyzed ( Table 6-3). Each enzyme is assigned a four-part classification Enzymes Are Classified by the Reactions number and a systematic name, which identifies the re- They Catalyze action it catalyzes. As an example, the formal system- atic name of the enzyme catalyzing the reaction Many enzymes have been named by adding the suffix ase"to the name of their substrate or to a word or ATP+ D-glucose→→ADP+ D-glucose6 phosphate phrase describing their activity. Thus urease catalyzes is ATP: glucose phosphotransferase, which indicates that hydrolysis of urea, and dna polymerase catalyzes the it catalyzes the transfer of a phosphoryl group from ATP polymerization of nucleotides to form DNA. Other en- to glucose. Its Enzyme Commission number (E.C. zymes were named by their discovers for a broad func- number) is 2.7.1.1. The first number (2) denotes the TABLE 6-3 International Classification of Enzymes Class type of reaction catalyzed Oxidoreductases Transfer of electrons(hydride ions or H atoms) 123456 Group transfer reactions Hydrolases Hydrolysis reactions(transfer of functional groups to wate Lyases Addition of groups to double bonds, or formation of double bonds by removal of groups Transfer of groups within molecules to yield isomeric forms Formation of C--C,C-S,C-0, and C-N bonds by condensation reactions coupled to ATP cleavag Note: Most enzymes catalyze the transfer of electrons, atoms, or functional groups. They are therefore classified, given code numbers, and assigned names according to the type of transfer reaction, the group dono, and the group acceptor
and one or more metal ions for activity. A coenzyme or metal ion that is very tightly or even covalently bound to the enzyme protein is called a prosthetic group. A complete, catalytically active enzyme together with its bound coenzyme and/or metal ions is called a holoenzyme. The protein part of such an enzyme is called the apoenzyme or apoprotein. Coenzymes act as transient carriers of specific functional groups. Most are derived from vitamins, organic nutrients required in small amounts in the diet. We consider coenzymes in more detail as we encounter them in the metabolic pathways discussed in Part II. Finally, some enzyme proteins are modified covalently by phosphorylation, glycosylation, and other processes. Many of these alterations are involved in the regulation of enzyme activity. Enzymes Are Classified by the Reactions They Catalyze Many enzymes have been named by adding the suffix “-ase” to the name of their substrate or to a word or phrase describing their activity. Thus urease catalyzes hydrolysis of urea, and DNA polymerase catalyzes the polymerization of nucleotides to form DNA. Other enzymes were named by their discovers for a broad function, before the specific reaction catalyzed was known. For example, an enzyme known to act in the digestion of foods was named pepsin, from the Greek pepsis, “digestion,” and lysozyme was named for its ability to lyse bacterial cell walls. Still others were named for their source: trypsin, named in part from the Greek tryein, “to wear down,” was obtained by rubbing pancreatic tissue with glycerin. Sometimes the same enzyme has two or more names, or two different enzymes have the same name. Because of such ambiguities, and the everincreasing number of newly discovered enzymes, biochemists, by international agreement, have adopted a system for naming and classifying enzymes. This system divides enzymes into six classes, each with subclasses, based on the type of reaction catalyzed (Table 6–3). Each enzyme is assigned a four-part classification number and a systematic name, which identifies the reaction it catalyzes. As an example, the formal systematic name of the enzyme catalyzing the reaction ATP D-glucose 88n ADP D-glucose 6-phosphate is ATP:glucose phosphotransferase, which indicates that it catalyzes the transfer of a phosphoryl group from ATP to glucose. Its Enzyme Commission number (E.C. number) is 2.7.1.1. The first number (2) denotes the 192 Chapter 6 Enzymes Coenzyme Examples of chemical groups transferred Dietary precursor in mammals Biocytin CO2 Biotin Coenzyme A Acyl groups Pantothenic acid and other compounds 5-Deoxyadenosylcobalamin H atoms and alkyl groups Vitamin B12 (coenzyme B12) Flavin adenine dinucleotide Electrons Riboflavin (vitamin B2) Lipoate Electrons and acyl groups Not required in diet Nicotinamide adenine dinucleotide Hydride ion (:H) Nicotinic acid (niacin) Pyridoxal phosphate Amino groups Pyridoxine (vitamin B6) Tetrahydrofolate One-carbon groups Folate Thiamine pyrophosphate Aldehydes Thiamine (vitamin B1) Note: The structures and modes of action of these coenzymes are described in Part II. TABLE 6–2 Some Coenzymes That Serve as Transient Carriers of Specific Atoms or Functional Groups No. Class Type of reaction catalyzed 1 Oxidoreductases Transfer of electrons (hydride ions or H atoms) 2 Transferases Group transfer reactions 3 Hydrolases Hydrolysis reactions (transfer of functional groups to water) 4 Lyases Addition of groups to double bonds, or formation of double bonds by removal of groups 5 Isomerases Transfer of groups within molecules to yield isomeric forms 6 Ligases Formation of COC, COS, COO, and CON bonds by condensation reactions coupled to ATP cleavage Note: Most enzymes catalyze the transfer of electrons, atoms, or functional groups. They are therefore classified, given code numbers, and assigned names according to the type of transfer reaction, the group donor, and the group acceptor. TABLE 6–3 International Classification of Enzymes 8885d_c06_190-237 1/27/04 7:13 AM Page 192 mac76 mac76:385_reb:
8885dc061932/2/042:50 PM Page193mac76mac76:385reb 6.2 How Enzymes Work class name(transferase); the second number (o), the subclass(phosphotransferase); the third number(1),a phosphotransferase with a hydroxyl group as acceptor; and the fourth number (1), D-glucose as the phosphoryl group acceptor. For many enzymes, a trivial name is more commonly used-in this case hexokinase. A com- plete list and description of the thousands of known en- zymes is maintained by the Nomenclature Committee of the International Union of Biochemistry and molecular iology(www.chem.qmul.ac.uk/iubmb/enzyme).Th chapter is devoted primarily to principles and proper ties common to all enzymes SUMMARY 6.1 An Introduction to Enzymes 豳 a Life depends on the existence of powerful and specific catalysts: the enzymes. Almost every biochemical reaction is catalyzed by an enzyme I With the exception of a few catalytic RNAs, all known enzymes are proteins. Many require The enzyme chymotrypsin, with bour 7GCH). Some key active-site amino aci und sul in red(PDB ID appear as a red nonprotein coenzymes or cofactors for their catalytic function. potch on the enzyme surface a Enzymes are classified according to the type of substrate complex, whose existence was first proposed reaction they catalyze. All enzymes have formal by Charles-Adolphe Wurtz in 1880, is central to the ac- E.C. numbers and names, and most have trivial tion of enzymes. It is also the starting point for mathe nanes matical treatments that define the kinetic behavior of enzyme-catalyzed reactions and for theoretical descrip- tions of enzyme mechanisms 6.2 How Enzymes Work The enzymatic catalysis of reactions is essential to liv- Enzymes Affect Reaction Rates, Not Equilibria ing systems Under biologically relevant conditions, un- A simple enzymatic reaction might be written catalyzed reactions tend to be slow--most biological molecules are quite stable in the neutral- pH, mild- E+s= ES= EP= E+P temperature, aqueous environment inside cells. Fur- where E, S, and P represent the enzyme, substrate, and thermore, many common reactions in biochemistry product; ES and EP are transient complexes of the en- entail chemical events that are unfavorable or unlikely zyme with the substrate and with the product in the cellular environment. such as the transien To understand catalysis, we must first appreciate formation of unstable charged intermediates or the col- the important distinction between reaction equilibria and lision of two or more molecules in the precise orienta- reaction rates. The function of a catalyst is to increase tion required for reaction. Reactions required to digest the rate of a reaction Catalysts do not affect reaction food, send nerve signals, or contract a muscle simply do equilibria. Any reaction, such as s= P can be de- not occur at a useful rate without catalysis scribed by a reaction coordinate diagram(Fig. 6-2),a An enzyme circumvents these problems by provid- picture of the energy changes during the reaction. As ing a specific environment within which a given reac- discussed in Chapter 1, energy in biological systems is tion can occur more rapidly. The distinguishing feature described in terms of free energy, G. In the coordinate of an enzyme-catalyzed reaction is that it takes place diagram, the free energy of the system is plotted against within the confines of a pocket on the enzyme called the progress of the reaction(the reaction coordinate) the active site(Fig. 6-1). The molecule that is bound The starting point for either the forward or the reverse in the active site and acted upon by the enzyme is called reaction is called the ground state, the contribution to the substrate. The surface of the active site is lined the free energy of the system by an average molecule with amino acid residues with substituent groups that ( S or P) under a given set of conditions. To describe the bind the substrate and catalyze its chemical transfor- free-energy changes for reactions, chemists define a mation. Often, the active site encloses a substrate, se- standard set of conditions(temperature 298 K; partial questering it completely from solution. The enzyme- pressure of each gas I atm, or 101.3 kPa; concentration
class name (transferase); the second number (7), the subclass (phosphotransferase); the third number (1), a phosphotransferase with a hydroxyl group as acceptor; and the fourth number (1), D-glucose as the phosphoryl group acceptor. For many enzymes, a trivial name is more commonly used—in this case hexokinase. A complete list and description of the thousands of known enzymes is maintained by the Nomenclature Committee of the International Union of Biochemistry and Molecular Biology (www.chem.qmul.ac.uk/iubmb/enzyme). This chapter is devoted primarily to principles and properties common to all enzymes. SUMMARY 6.1 An Introduction to Enzymes ■ Life depends on the existence of powerful and specific catalysts: the enzymes. Almost every biochemical reaction is catalyzed by an enzyme. ■ With the exception of a few catalytic RNAs, all known enzymes are proteins. Many require nonprotein coenzymes or cofactors for their catalytic function. ■ Enzymes are classified according to the type of reaction they catalyze. All enzymes have formal E.C. numbers and names, and most have trivial names. 6.2 How Enzymes Work The enzymatic catalysis of reactions is essential to living systems. Under biologically relevant conditions, uncatalyzed reactions tend to be slow—most biological molecules are quite stable in the neutral-pH, mildtemperature, aqueous environment inside cells. Furthermore, many common reactions in biochemistry entail chemical events that are unfavorable or unlikely in the cellular environment, such as the transient formation of unstable charged intermediates or the collision of two or more molecules in the precise orientation required for reaction. Reactions required to digest food, send nerve signals, or contract a muscle simply do not occur at a useful rate without catalysis. An enzyme circumvents these problems by providing a specific environment within which a given reaction can occur more rapidly. The distinguishing feature of an enzyme-catalyzed reaction is that it takes place within the confines of a pocket on the enzyme called the active site (Fig. 6–1). The molecule that is bound in the active site and acted upon by the enzyme is called the substrate. The surface of the active site is lined with amino acid residues with substituent groups that bind the substrate and catalyze its chemical transformation. Often, the active site encloses a substrate, sequestering it completely from solution. The enzymesubstrate complex, whose existence was first proposed by Charles-Adolphe Wurtz in 1880, is central to the action of enzymes. It is also the starting point for mathematical treatments that define the kinetic behavior of enzyme-catalyzed reactions and for theoretical descriptions of enzyme mechanisms. Enzymes Affect Reaction Rates, Not Equilibria A simple enzymatic reaction might be written E S ES EP E P (6–1) where E, S, and P represent the enzyme, substrate, and product; ES and EP are transient complexes of the enzyme with the substrate and with the product. To understand catalysis, we must first appreciate the important distinction between reaction equilibria and reaction rates. The function of a catalyst is to increase the rate of a reaction. Catalysts do not affect reaction equilibria. Any reaction, such as S P, can be described by a reaction coordinate diagram (Fig. 6–2), a picture of the energy changes during the reaction. As discussed in Chapter 1, energy in biological systems is described in terms of free energy, G. In the coordinate diagram, the free energy of the system is plotted against the progress of the reaction (the reaction coordinate). The starting point for either the forward or the reverse reaction is called the ground state, the contribution to the free energy of the system by an average molecule (S or P) under a given set of conditions. To describe the free-energy changes for reactions, chemists define a standard set of conditions (temperature 298 K; partial pressure of each gas 1 atm, or 101.3 kPa; concentration yz yz yz yz 6.2 How Enzymes Work 193 FIGURE 6–1 Binding of a substrate to an enzyme at the active site. The enzyme chymotrypsin, with bound substrate in red (PDB ID 7GCH). Some key active-site amino acid residues appear as a red splotch on the enzyme surface. 8885d_c06_193 2/2/04 2:50 PM Page 193 mac76 mac76:385_reb:
8885dc06190-2371/27/047:13 AM Page194mac76mac76:385 Chapter 6 Enzymes Transition state(+ either substrate or product is equally likely. The differ ence between the energy levels of the ground state and the transition state is the activation energy, AG+. The rate of a reaction reflects this activation energy: a higher activation energy corresponds to a slower reaction. Re- △G"° action rates can be increased by raising the tempera gRound ture, thereby increasing the number of molecules with sufficient energy to overcome the energy barrier. Alter state natively, the activation energy can be lowered by adding Reaction coordinate a catalyst(Fig. 6-3) Catalysts enhance reaction rates by lowering activation energies. FIGURE 6-2 Reaction coordinate diagram for a chemical reaction Enzymes are no exception to the rule that catalysts The free energy of the system is plotted against the progress of the re. do not affect reaction equilibria. The bidirectional ar- action S-P. A diagram of this kind is a description of the energy rows in Equation 6-1 make this point: any enzyme that hanges during the reaction, and the horizontal axis(reaction coor- catalyzes the reaction s-P also catalyzes the reaction dinate)reflects the progressive chemical changes (e., bond breakage P-S. The role of enzymes is to accelerate the inter or formation) as S is converted to P The activation energies, AG, for conversion of S and P. The enzyme is not used up in the the s-P and P-Sreactions are indicated AC" is the overall stan- process, and the equilibrium point is unaffected. How dard free-energy change in the direction S-P. ever, the reaction reaches equilibrium much faster when the appropriate enzyme is present, because the rate of the reaction is increased of each solute 1 M) and express the free-energy change This general principle can be illustrated by consid- for this reacting system as AG, the standard free- ering the conversion of sucrose and oxygen to carbon energy change Because biochemical systems commonly involve ht concentrations far below 1 M. biochemists define a biochemical standard free-energy change C12H22O1+1202→12CO2+11H2O AG, the standard free-energy change at pH 7.0, we This conversion, which takes place through a series of employ this definition throughout the book. A more separate reactions, has a very large and negative AG complete definition of AG is given in Chapter 13 and at equilibrium the amount of sucrose present is neg The equilibrium between S and P reflects the dif- ligible. Yet sucrose is a stable compound, because the ference in the free energies of their ground states. In activation energy barrier that must be overcome before the example shown in Figure 6-2, the free energy of the sucrose reacts with oxygen is quite high. Sucrose can ground state of P is lower than that of S, So AG for the be stored in a container with oxygen almost indefinitely reaction is negative and the equilibrium favors P. The without reacting. In cells, however, sucrose is readily position and direction of equilibrium are not affected by broken down to co and Ho in a series of reactions any catalyst catalyzed by enzymes. These enzymes not only accel A favorable equilibrium does not mean that the s-P conversion will occur at a detectable rate. The rate of a reaction is dependent on an entirely different parameter. There is an energy barrier between S and P Transition state(+) the energy required for alignment of reacting groups formation of transient unstable charges, bond re arrangements, and other transformations required for the reaction to proceed in either direction. This is il lustrated by the energy "hill"in Figures 6-2 and 6-3. To undergo reaction, the molecules must overcome this barrier and therefore must be raised to a higher energy level. At the top of the energy hill is a point at which decay to the s or P state is equally probable (it is down- Reaction coordinate hill either way). This is called the transition state. The FIgure 6-3 Reaction coordinat transition state is not a chemical species with any sig catalyzed and uncatalyzed reactions. In the reaction S-P, the ES nificant stability and should not be confused with a re- and EP intermediates occupy minima in the energy progress curve of action intermediate(such as Es or EP). It is simply a the enzyme-catalyzed reaction. The terms AGuncat and ACtat corre- fleeting molecular moment in which events such as bond spond to the activation energy for the uncatalyzed reaction and the breakage, bond formation, and charge development overall activation energy for the catalyzed reaction, respectively.The have proceeded to the precise point at which decay to activation energy is lower when the enzyme catalyzes the reaction
of each solute 1 M) and express the free-energy change for this reacting system as G, the standard freeenergy change. Because biochemical systems commonly involve H concentrations far below 1 M, biochemists define a biochemical standard free-energy change, G, the standard free-energy change at pH 7.0; we employ this definition throughout the book. A more complete definition of G is given in Chapter 13. The equilibrium between S and P reflects the difference in the free energies of their ground states. In the example shown in Figure 6–2, the free energy of the ground state of P is lower than that of S, so G for the reaction is negative and the equilibrium favors P. The position and direction of equilibrium are not affected by any catalyst. A favorable equilibrium does not mean that the S n P conversion will occur at a detectable rate. The rate of a reaction is dependent on an entirely different parameter. There is an energy barrier between S and P: the energy required for alignment of reacting groups, formation of transient unstable charges, bond rearrangements, and other transformations required for the reaction to proceed in either direction. This is illustrated by the energy “hill” in Figures 6–2 and 6–3. To undergo reaction, the molecules must overcome this barrier and therefore must be raised to a higher energy level. At the top of the energy hill is a point at which decay to the S or P state is equally probable (it is downhill either way). This is called the transition state. The transition state is not a chemical species with any significant stability and should not be confused with a reaction intermediate (such as ES or EP). It is simply a fleeting molecular moment in which events such as bond breakage, bond formation, and charge development have proceeded to the precise point at which decay to either substrate or product is equally likely. The difference between the energy levels of the ground state and the transition state is the activation energy, G‡ . The rate of a reaction reflects this activation energy: a higher activation energy corresponds to a slower reaction. Reaction rates can be increased by raising the temperature, thereby increasing the number of molecules with sufficient energy to overcome the energy barrier. Alternatively, the activation energy can be lowered by adding a catalyst (Fig. 6–3). Catalysts enhance reaction rates by lowering activation energies. Enzymes are no exception to the rule that catalysts do not affect reaction equilibria. The bidirectional arrows in Equation 6–1 make this point: any enzyme that catalyzes the reaction S n P also catalyzes the reaction P n S. The role of enzymes is to accelerate the interconversion of S and P. The enzyme is not used up in the process, and the equilibrium point is unaffected. However, the reaction reaches equilibrium much faster when the appropriate enzyme is present, because the rate of the reaction is increased. This general principle can be illustrated by considering the conversion of sucrose and oxygen to carbon dioxide and water: C12H22O11 12O2 88n 12CO2 11H2O This conversion, which takes place through a series of separate reactions, has a very large and negative G, and at equilibrium the amount of sucrose present is negligible. Yet sucrose is a stable compound, because the activation energy barrier that must be overcome before sucrose reacts with oxygen is quite high. Sucrose can be stored in a container with oxygen almost indefinitely without reacting. In cells, however, sucrose is readily broken down to CO2 and H2O in a series of reactions catalyzed by enzymes. These enzymes not only accel- 194 Chapter 6 Enzymes Transition state (‡) Free energy, G Reaction coordinate S Ground state P Ground state G‡ S P G‡ P S G FIGURE 6–2 Reaction coordinate diagram for a chemical reaction. The free energy of the system is plotted against the progress of the reaction Sn P. A diagram of this kind is a description of the energy changes during the reaction, and the horizontal axis (reaction coordinate) reflects the progressive chemical changes (e.g., bond breakage or formation) as S is converted to P. The activation energies, G‡ , for the Sn P and Pn S reactions are indicated. G is the overall standard free-energy change in the direction Sn P. Transition state (‡) Reaction coordinate S P G‡ uncat G‡ cat ‡ ES EP Free energy, G FIGURE 6–3 Reaction coordinate diagram comparing enzymecatalyzed and uncatalyzed reactions. In the reaction Sn P, the ES and EP intermediates occupy minima in the energy progress curve of the enzyme-catalyzed reaction. The terms G‡ uncat and G‡ cat correspond to the activation energy for the uncatalyzed reaction and the overall activation energy for the catalyzed reaction, respectively. The activation energy is lower when the enzyme catalyzes the reaction. 8885d_c06_190-237 1/27/04 7:13 AM Page 194 mac76 mac76:385_reb:
8885dc061952/2/042:50 PM Page195mac76mac76:385reb 6.2 How Enzymes Work erate the reactions, they organize and control them so action rates are linked to the activation energy, AG.A that much of the energy released is recovered in other basic introduction to these thermodynamic relationships chemical forms and made available to the cell for other is the next step in understanding how enzymes work tasks. The reaction pathway by which sucrose(and other An equilibrium such as S P is described by sugars) is broken down is the primary energy-yieldin equilibrium constant, Keg, or simply K (p. 26).Un pathway for cells, and the enzymes of this pathway al- der the standard conditions used to compare biochem low the reaction sequence to proceed on a biologically ical processes, an equilibrium constant is denoted Ke useful time scale (or k) Any reaction may have several steps, involving the formation and decay of transient chemical species called reaction intermediates. A reaction intermediate is From thermodynamics, the relationship between Ke any species on the reaction pathway that has a finite and AG can be described by the expression chemical lifetime (longer than a molecular vibration 10-3 seconds). When the S P reaction is catalyzed △G"°=- RT In k y an enzyme, the Es and EP complexes can be con- where R is the gas constant, 8. 315 J/mol- K, and T'is sidered intermediates, even though S and P are stable the absolute temperature, 298 K(25C) Equation 6-3 chemical species (Eqn 6-1); the Es and EP complexes is developed and discussed in more detail in Chapter 13 occupy valleys in the reaction coordinate diagram(Fig. The important point here is that the equilibrium con 6-3). Additional, less stable chemical intermediates of- stant is directly related to the overall standard free- ten exist in the course of an enzyme-catalyzed reaction. energy change for the reaction ( Table 6-4). A large The interconversion of two sequential reaction inter- negative value for AG reflects a favorable reaction mediates thus constitutes a reaction step. When several equilibrium-but as already noted this does not mear steps occur in a reaction, the overall rate is determined the reaction will proceed at a rapid rate by the step (or steps )with the hignea. In a simple case, centration of the reactant(or reactants)and by a rate The rate of any reaction is determined by the con- the rate-limiting step is the highest-energy point in constant, usually denoted by k. For the unimolecular the diagram for interconversion of S and P In practice, reaction S-P, the rate (or velocity) of the reaction, and for many enzymes several steps may have similar time-is expressed by a rate equation, cts per unit the rate-limiting step can vary with reaction conditions, V--representing the amount of s that activation energies, which means they are all partially (6-4) Activation energies are energy barriers to chemical In this reaction, the rate depends only on the concen- reactions. These barriers are crucial to life itself. The rate tration of s. This is called a first-order reaction. The at which a molecule undergoes a particular reaction factor k is a proportionality constant that reflects the decreases as the activation barrier for that reaction in- probability of reaction under a given set of conditions molecules would revert spontaneously to much simpler rate constant and has units of reciprocal time, such ass y w creases. Without such energy barriers, complex macro- (pH, temperature, and so forth). Here, k is a first-ordo molecular forms, and the complex and highly ordered If a first-order reaction has a rate constant k of 0.03s- structures and metabolic processes of cells could not ex- ist. Over the course of evolution, enzymes have devel- oped lower activation energies selectively for reactions TABLE 6-4 Relationship between Keg and AG that are needed for cell survival Reaction Rates and Equilibria Have Precise 一6 Thermodynamic Definitions 28.5 Reaction equilibria are inextricably linked to the stan- 10 228 dard free-energy change for the reaction, AG, and re- 11.4 *In this chapter, step and intermediate refer to chemical species in 0.0 the reaction pathway of a single enzyme-catalyzed reaction. In the 5.7 context of metabolic pathways involving many enzymes(discussed in 11.4 Part ID), these terms are used somewhat differently. An entire enzy. 10 1 Latic reaction is often referred to as a"step"in a pathway, and the product of one enzymatic reaction(which is the substrate for the next enzyme in the pathway) is referred to as an"intermediat ote: The relationship is calculated from AG=-RI In Keg(Eqn 6-3)
erate the reactions, they organize and control them so that much of the energy released is recovered in other chemical forms and made available to the cell for other tasks. The reaction pathway by which sucrose (and other sugars) is broken down is the primary energy-yielding pathway for cells, and the enzymes of this pathway allow the reaction sequence to proceed on a biologically useful time scale. Any reaction may have several steps, involving the formation and decay of transient chemical species called reaction intermediates.* A reaction intermediate is any species on the reaction pathway that has a finite chemical lifetime (longer than a molecular vibration, ~1013 seconds). When the S P reaction is catalyzed by an enzyme, the ES and EP complexes can be considered intermediates, even though S and P are stable chemical species (Eqn 6–1); the ES and EP complexes occupy valleys in the reaction coordinate diagram (Fig. 6–3). Additional, less stable chemical intermediates often exist in the course of an enzyme-catalyzed reaction. The interconversion of two sequential reaction intermediates thus constitutes a reaction step. When several steps occur in a reaction, the overall rate is determined by the step (or steps) with the highest activation energy; this is called the rate-limiting step. In a simple case, the rate-limiting step is the highest-energy point in the diagram for interconversion of S and P. In practice, the rate-limiting step can vary with reaction conditions, and for many enzymes several steps may have similar activation energies, which means they are all partially rate-limiting. Activation energies are energy barriers to chemical reactions. These barriers are crucial to life itself. The rate at which a molecule undergoes a particular reaction decreases as the activation barrier for that reaction increases. Without such energy barriers, complex macromolecules would revert spontaneously to much simpler molecular forms, and the complex and highly ordered structures and metabolic processes of cells could not exist. Over the course of evolution, enzymes have developed lower activation energies selectively for reactions that are needed for cell survival. Reaction Rates and Equilibria Have Precise Thermodynamic Definitions Reaction equilibria are inextricably linked to the standard free-energy change for the reaction, G, and rezy action rates are linked to the activation energy, G‡ . A basic introduction to these thermodynamic relationships is the next step in understanding how enzymes work. An equilibrium such as S P is described by an equilibrium constant, Keq, or simply K (p. 26). Under the standard conditions used to compare biochemical processes, an equilibrium constant is denoted K eq (or K): K eq = [ [ P S] ] (6–2) From thermodynamics, the relationship between Keq and G can be described by the expression G RT ln K eq (6–3) where R is the gas constant, 8.315 J/mol K, and T is the absolute temperature, 298 K (25 C). Equation 6–3 is developed and discussed in more detail in Chapter 13. The important point here is that the equilibrium constant is directly related to the overall standard freeenergy change for the reaction (Table 6–4). A large negative value for G reflects a favorable reaction equilibrium—but as already noted, this does not mean the reaction will proceed at a rapid rate. The rate of any reaction is determined by the concentration of the reactant (or reactants) and by a rate constant, usually denoted by k. For the unimolecular reaction S n P, the rate (or velocity) of the reaction, V—representing the amount of S that reacts per unit time—is expressed by a rate equation: V k[S] (6–4) In this reaction, the rate depends only on the concentration of S. This is called a first-order reaction. The factor k is a proportionality constant that reflects the probability of reaction under a given set of conditions (pH, temperature, and so forth). Here, k is a first-order rate constant and has units of reciprocal time, such as s1 . If a first-order reaction has a rate constant k of 0.03 s1 , zy 6.2 How Enzymes Work 195 *In this chapter, step and intermediate refer to chemical species in the reaction pathway of a single enzyme-catalyzed reaction. In the context of metabolic pathways involving many enzymes (discussed in Part II), these terms are used somewhat differently. An entire enzymatic reaction is often referred to as a “step” in a pathway, and the product of one enzymatic reaction (which is the substrate for the next enzyme in the pathway) is referred to as an “intermediate.” K eq G (kJ/mol) 106 34.2 105 28.5 104 22.8 103 17.1 102 11.4 101 5.7 1 0.0 101 5.7 102 11.4 103 17.1 TABLE 6–4 Note: The relationship is calculated from G RT ln K eq (Eqn 6–3). Relationship between K eq and G 8885d_c06_195 2/2/04 2:50 PM Page 195 mac76 mac76:385_reb:
8885dc061962/2/042:50 PM Page196mac76mac76:385reb Chapter 6 Enzymes this may be interpreted(qualitatively) to mean that 3% amino acid side chains, metal ions, and coenzymes). Cat of the available S will be converted to P in I s. A reac- alytic functional groups on an enzyme may form a tran tion with a rate constant of 2.000s will be over in a sient covalent bond with a substrate and activate it for small fraction of a second. If a reaction rate depends reaction, or a group may be transiently transferred from on the concentration of two different compounds, or the substrate to the enzyme. In many cases, these re- if the reaction is between two molecules of the same actions occur only in the enzyme active site. covalent compound, the reaction is second order and k is a interactions between enzymes and substrates lower the second-order rate constant, with units of M s. The activation energy (and thereby accelerate the reaction) rate equation then becomes by providing an alternative, lower-energy reaction path. V=kSS The specific types of rearrangements that occur are de- scribed in section 6.4 From transition-state theory we can derive an expres The second part of the explanation lies in the non- sion that relates the magnitude of a rate constant to the covalent interactions between enzyme and substrate Much of the energy required to lower activation ener gies is derived from weak, noncovalent interactions be- kT -AG+/RT tween substrate and enzyme. What really sets enzymes apart from most other catalysts is the formation of a where k is the Boltzmann constant and h is Planck's specific ES complex. The interaction between substrate constant. The important point here is that the relation- and enzyme in this complex is mediated by the same ship between the rate constant k and the activation en- forces that stabilize protein structure, including hydro- ergy AGt is inverse and exponential In simplified terms gen bonds and hydrophobic and ionic interactions this is the basis for the statement that a lower activa-(Chapter 4). Formation of each weak interaction in the tion energy means a faster reaction rate ES complex is accompanied by release of a small amount Now we turn from what enzymes do te ey of free energy that provides a degree of stability to the interaction. The energy derived from enzyme-substrate interaction is called binding energy, AGB. Its signifi A Few Principles Explain the Catalytic Power cance extends beyond a simple stabilization of the and Specificity of Enzyme enzyme-substrate interaction. Binding energy is a major source of free energy used by enzymes to lower Enzymes are extraordinary catalysts. The rate en- the activation energies of reactions hancements they bring about are in the range of 5 to 17 Two fundamental and interrelated principles pro orders of magnitude(Table 6-5). Enzymes are also very vide a general explanation for how enzymes use nonce- specific, readily discriminating between substrates with valent binding energy quite similar structures. How can these enormous and highly selective rate enhancements be explained? What 1. Much of the catalytic power of enzymes ultimately derived from the free energy released the activation energies for specific reactions? in forming many weak bonds and interactions The answer to these questions has two distinct but between an enzyme and its substrate. This binding interwoven parts. The first lies in the rearrangements energy contributes to specificity as well as to of covalent bonds during an enzyme-catalyzed reaction. catalysis Chemical reactions of many types take place between substrates and enzymes functional groups (specific Weak interactions are optimized in the reaction transition state; enzyme active sites are complementary not to the substrates per se but to TABLE 6-5 Some Rate Enhancements the transition states through which substrates pass Produced by Enzymes as they are converted to products during an enzymatic reaction. Cyclophilin Carbonic anhydrase These themes are critical to an understanding of en- Triose phosphate isomerase zymes, and they now become our primary focus Carboxypeptidase A 10 Phosphoglucomutase 1012 Weak Interactions between Enzyme and Substrate Succinyl-CoA transferase Are Optimized in the Transition State ease How does an enzyme use binding energy to lower the Orotidine monophosphate decarboxylase activation energy for a reaction? Formation of the es complex is not the explanation in itself, although some
this may be interpreted (qualitatively) to mean that 3% of the available S will be converted to P in 1 s. A reaction with a rate constant of 2,000 s1 will be over in a small fraction of a second. If a reaction rate depends on the concentration of two different compounds, or if the reaction is between two molecules of the same compound, the reaction is second order and k is a second-order rate constant, with units of M1 s1 . The rate equation then becomes V k[S1][S2] (6–5) From transition-state theory we can derive an expression that relates the magnitude of a rate constant to the activation energy: k k h T eG‡/RT (6–6) where k is the Boltzmann constant and h is Planck’s constant. The important point here is that the relationship between the rate constant k and the activation energy G‡ is inverse and exponential. In simplified terms, this is the basis for the statement that a lower activation energy means a faster reaction rate. Now we turn from what enzymes do to how they do it. A Few Principles Explain the Catalytic Power and Specificity of Enzymes Enzymes are extraordinary catalysts. The rate enhancements they bring about are in the range of 5 to 17 orders of magnitude (Table 6–5). Enzymes are also very specific, readily discriminating between substrates with quite similar structures. How can these enormous and highly selective rate enhancements be explained? What is the source of the energy for the dramatic lowering of the activation energies for specific reactions? The answer to these questions has two distinct but interwoven parts. The first lies in the rearrangements of covalent bonds during an enzyme-catalyzed reaction. Chemical reactions of many types take place between substrates and enzymes’ functional groups (specific amino acid side chains, metal ions, and coenzymes). Catalytic functional groups on an enzyme may form a transient covalent bond with a substrate and activate it for reaction, or a group may be transiently transferred from the substrate to the enzyme. In many cases, these reactions occur only in the enzyme active site. Covalent interactions between enzymes and substrates lower the activation energy (and thereby accelerate the reaction) by providing an alternative, lower-energy reaction path. The specific types of rearrangements that occur are described in Section 6.4. The second part of the explanation lies in the noncovalent interactions between enzyme and substrate. Much of the energy required to lower activation energies is derived from weak, noncovalent interactions between substrate and enzyme. What really sets enzymes apart from most other catalysts is the formation of a specific ES complex. The interaction between substrate and enzyme in this complex is mediated by the same forces that stabilize protein structure, including hydrogen bonds and hydrophobic and ionic interactions (Chapter 4). Formation of each weak interaction in the ES complex is accompanied by release of a small amount of free energy that provides a degree of stability to the interaction. The energy derived from enzyme-substrate interaction is called binding energy, GB. Its significance extends beyond a simple stabilization of the enzyme-substrate interaction. Binding energy is a major source of free energy used by enzymes to lower the activation energies of reactions. Two fundamental and interrelated principles provide a general explanation for how enzymes use noncovalent binding energy: 1. Much of the catalytic power of enzymes is ultimately derived from the free energy released in forming many weak bonds and interactions between an enzyme and its substrate. This binding energy contributes to specificity as well as to catalysis. 2. Weak interactions are optimized in the reaction transition state; enzyme active sites are complementary not to the substrates per se but to the transition states through which substrates pass as they are converted to products during an enzymatic reaction. These themes are critical to an understanding of enzymes, and they now become our primary focus. Weak Interactions between Enzyme and Substrate Are Optimized in the Transition State How does an enzyme use binding energy to lower the activation energy for a reaction? Formation of the ES complex is not the explanation in itself, although some 196 Chapter 6 Enzymes Cyclophilin 105 Carbonic anhydrase 107 Triose phosphate isomerase 109 Carboxypeptidase A 1011 Phosphoglucomutase 1012 Succinyl-CoA transferase 1013 Urease 1014 Orotidine monophosphate decarboxylase 1017 TABLE 6–5 Some Rate Enhancements Produced by Enzymes 8885d_c06_196 2/2/04 2:50 PM Page 196 mac76 mac76:385_reb:
8885dc06_190-2371/27/047:13 AM Page197mac76mac76:385 6.2 How Enzymes Work 197 of the earliest considerations of enzyme mechanisms be- Consider an imaginary reaction, the breaking of a gan with this idea. Studies on enzyme specificity car- magnetized metal stick. The uncatalyzed reaction is ried out by Emil Fischer led him to propose, in 1894, shown in Figure 6-5a. Let's examine two imaginary that enzymes were structurally complementary to their enzymes--two"stickases-that could catalyze this re- substrates, so that they fit together like a lock and key action, both of which employ magnetic forces as a par (Fig. 6-4). This elegant idea, that a specific(exclusive) adigm for the binding energy used by real enzymes. We interaction between two biological molecules is medi- first design an enzyme perfectly complementary to the ated by molecular surfaces with complementary shapes, substrate (Fig. 6-5b). The active site of this stickase is has greatly influenced the development of biochemistry, a pocket lined with magnets. To react(break), the stick and such interactions lie at the heart of many bio- must reach the transition state of the reaction, but the chemical processes. However, the " lock and key" hy- stick fits so tightly in the active site that it cannot bend pothesis can be misleading when applied to enzymatic because bending would eliminate some of the magnetic atalysis. An enzyme completely complementary to its interactions between stick and enzyme. Such an enzyme substrate would be a very poor enzyme, as we can impedes the reaction, stabilizing the substrate instead emonstrate In a reaction coordinate diagram(fig. 6-5b, this kind of Es complex would correspond to an energy trough from which the substrate would have difficulty escap- ing. Such an enzyme would be useless The modern notion of enzymatic catalysis, first pro posed by Michael Polanyi(1921) and Haldane(1930) was elaborated by Linus Pauling in 1946: in order to cat- alyze reactions, an enzyme must be complementary to the reaction transition state. This means that optimal interactions between substrate and enzyme occur only in the transition state. Figure 6-5c demonstrates how such an enzyme can work. The metal stick binds to the stickase, but only a subset of the possible magnetic in- teractions are used rming the Es complex. The bound substrate must still undergo the increase in free energy needed to reach the transition state. Now, how- ever, the increase in free energy required to draw the stick into a bent and partially broken conformation is offset, or"paid for, by the magnetic interactions(bind- ing energy) that form between the enzyme and sub- strate in the transition state. Many of these interactions involve parts of the stick that are distant from the point of breakage; thus interactions between the stickase and nonreacting parts of the stick provide some of the en ergy needed to catalyze stick breakage. This"energy payment" translates into a lower net activation energy and a faster reaction rate Real enzymes work on an analogous principle. Some weak interactions are formed in the ES complex, but the full complement of such interactions between substrate and enzyme is formed only when the substrate reaches FIGURE 6-4 Complementary shapes of a substrate and its binding the transition state. The free energy(binding energy) site on an enzyme The enzyme dihydrofolate reductase with its sub- released by the formation of these interactions partially rate NADP+(red), unbound (top) and bound (bottom). Another bound offsets the energy required to reach the top of the en- bstrate te ahydrofolate(yellow), is also visible (PDB ID 1RA2) The ergy hill. The summation of the unfavorable (positive) NADP+binds to a pocket that is complementary to it in shape and activation energy AG and the favorable(negative)bind- onic properties. In reality, the complementarity between protein and ing energy AGB results in a lower net activation energy ligand (in this case substrate) is rarely perfect, as we saw in Chapter (Fig. 6-6). Even on the enzyme, the transition state 5. The interaction of a protein with a ligand often involves changes in is not a stable species but a brief point in time that the conformation of one or both molecules, a process called induced the substrate spends atop an energy hill. The enzyme- fit. This lack of perfect complementarity between enzyme and sub- catalyzed reaction is much faster than the uncatalyzed strate(not evident in this figure)is important to enzymatic catalysis. process, however, because the hill is much smaller. The
of the earliest considerations of enzyme mechanisms began with this idea. Studies on enzyme specificity carried out by Emil Fischer led him to propose, in 1894, that enzymes were structurally complementary to their substrates, so that they fit together like a lock and key (Fig. 6–4). This elegant idea, that a specific (exclusive) interaction between two biological molecules is mediated by molecular surfaces with complementary shapes, has greatly influenced the development of biochemistry, and such interactions lie at the heart of many biochemical processes. However, the “lock and key” hypothesis can be misleading when applied to enzymatic catalysis. An enzyme completely complementary to its substrate would be a very poor enzyme, as we can demonstrate. Consider an imaginary reaction, the breaking of a magnetized metal stick. The uncatalyzed reaction is shown in Figure 6–5a. Let’s examine two imaginary enzymes—two “stickases”—that could catalyze this reaction, both of which employ magnetic forces as a paradigm for the binding energy used by real enzymes. We first design an enzyme perfectly complementary to the substrate (Fig. 6–5b). The active site of this stickase is a pocket lined with magnets. To react (break), the stick must reach the transition state of the reaction, but the stick fits so tightly in the active site that it cannot bend, because bending would eliminate some of the magnetic interactions between stick and enzyme. Such an enzyme impedes the reaction, stabilizing the substrate instead. In a reaction coordinate diagram (Fig. 6–5b), this kind of ES complex would correspond to an energy trough from which the substrate would have difficulty escaping. Such an enzyme would be useless. The modern notion of enzymatic catalysis, first proposed by Michael Polanyi (1921) and Haldane (1930), was elaborated by Linus Pauling in 1946: in order to catalyze reactions, an enzyme must be complementary to the reaction transition state. This means that optimal interactions between substrate and enzyme occur only in the transition state. Figure 6–5c demonstrates how such an enzyme can work. The metal stick binds to the stickase, but only a subset of the possible magnetic interactions are used in forming the ES complex. The bound substrate must still undergo the increase in free energy needed to reach the transition state. Now, however, the increase in free energy required to draw the stick into a bent and partially broken conformation is offset, or “paid for,” by the magnetic interactions (binding energy) that form between the enzyme and substrate in the transition state. Many of these interactions involve parts of the stick that are distant from the point of breakage; thus interactions between the stickase and nonreacting parts of the stick provide some of the energy needed to catalyze stick breakage. This “energy payment” translates into a lower net activation energy and a faster reaction rate. Real enzymes work on an analogous principle. Some weak interactions are formed in the ES complex, but the full complement of such interactions between substrate and enzyme is formed only when the substrate reaches the transition state. The free energy (binding energy) released by the formation of these interactions partially offsets the energy required to reach the top of the energy hill. The summation of the unfavorable (positive) activation energy G‡ and the favorable (negative) binding energy GB results in a lower net activation energy (Fig. 6–6). Even on the enzyme, the transition state is not a stable species but a brief point in time that the substrate spends atop an energy hill. The enzymecatalyzed reaction is much faster than the uncatalyzed process, however, because the hill is much smaller. The 6.2 How Enzymes Work 197 FIGURE 6–4 Complementary shapes of a substrate and its binding site on an enzyme. The enzyme dihydrofolate reductase with its substrate NADP (red), unbound (top) and bound (bottom). Another bound substrate, tetrahydrofolate (yellow), is also visible (PDB ID 1RA2). The NADP binds to a pocket that is complementary to it in shape and ionic properties. In reality, the complementarity between protein and ligand (in this case substrate) is rarely perfect, as we saw in Chapter 5. The interaction of a protein with a ligand often involves changes in the conformation of one or both molecules, a process called induced fit. This lack of perfect complementarity between enzyme and substrate (not evident in this figure) is important to enzymatic catalysis. 8885d_c06_190-237 1/27/04 7:13 AM Page 197 mac76 mac76:385_reb:
8885dc06190-2371/27/047:13 AM Page198mac76mac76:385 Chapter 6 Enzymes (a)No enzyme Substrate Transition state Products (metal stick) (bent stick) broken stick) (b) Enzyme complementary to substrate Magnets (c) Enzyme complementary to transition state 的- E Reaction coordinate FIGURE 6-5 An imaginary enzyme (stickase) designed to catalyze tions compensates for the increase in free energy required to bend the breakage of a metal stick. (a)Before the stick is broken, it must fir: stick. Reaction coordinate diagrams (right) show the energy conse- be bent(the transition state). In both stickase examples, magnetic in- quences of complementarity to substrate versus complementarity to teractions take the place of weak bonding interactions between transition state(EP complexes are omitted). AGM, the difference be. enzyme and substrate. (b) A stickase with a magnet-lined pocket com- tween the transition-state energies of the uncatalyzed and catalyzed plementary in structure to the stick ( the substrate) stabilizes the reactions, is contributed by the magnetic interactions between the stick lbstrate. Bending is impeded by the magnetic attraction between stick and stickase. When the enzyme is complementary to the substrate(b), and stickase. (c) An enzyme with a pocket complementary to the re. the ES complex is more stable and has less free energy in the ground action transition state helps to destabilize the stick, contributing to state than substrate alone. The result is an increase in the activation atalysis of the reaction. The binding energy of the magnetic interac- ene important principle is that weak binding interactions reflects the need for superstructure to keep interacting between the enzyme and the substrate provide a sub- groups properly positioned and to keep the cavity from stantial driving force for enzymatic catalysis. The collapsing groups on the substrate that are involved in these weak interactions can be at some distance from the bonds that Binding Energy Contributes to Reaction Specificity are broken or changed. The weak interactions formed only in the transition state are those that make the pri and Catalysis mary contribution to catalysis Can we demonstrate quantitatively that binding energy The requirement for multiple weak interactions to accounts for the huge rate accelerations brought about drive catalysis is one reason why enzymes (and some by enzymes? Yes. As a point of reference, Equation 6-6 coenzymes)are so large. An enzyme must provide func- allows us to calculate that AG must be lowered by about tional groups for ionic, hydrogen-bond, and other inter- 5.7 kJ/mol to accelerate a first-order reaction by a fac actions, and also must precisely position these groups tor of ten, under conditions commonly found in cells so that binding energy is optimized in the transition The energy available from formation of a single weak in- state. Adequate binding is accomplished most readily by teraction is generally estimated to be 4 to 30 kJ/mol positioning a substrate in a cavity(the active site) where The overall energy available from a number of such in- it is effectively removed from water. The size of proteins teractions is therefore sufficient to lower activation en-
important principle is that weak binding interactions between the enzyme and the substrate provide a substantial driving force for enzymatic catalysis. The groups on the substrate that are involved in these weak interactions can be at some distance from the bonds that are broken or changed. The weak interactions formed only in the transition state are those that make the primary contribution to catalysis. The requirement for multiple weak interactions to drive catalysis is one reason why enzymes (and some coenzymes) are so large. An enzyme must provide functional groups for ionic, hydrogen-bond, and other interactions, and also must precisely position these groups so that binding energy is optimized in the transition state. Adequate binding is accomplished most readily by positioning a substrate in a cavity (the active site) where it is effectively removed from water. The size of proteins reflects the need for superstructure to keep interacting groups properly positioned and to keep the cavity from collapsing. Binding Energy Contributes to Reaction Specificity and Catalysis Can we demonstrate quantitatively that binding energy accounts for the huge rate accelerations brought about by enzymes? Yes. As a point of reference, Equation 6–6 allows us to calculate that G‡ must be lowered by about 5.7 kJ/mol to accelerate a first-order reaction by a factor of ten, under conditions commonly found in cells. The energy available from formation of a single weak interaction is generally estimated to be 4 to 30 kJ/mol. The overall energy available from a number of such interactions is therefore sufficient to lower activation en- 198 Chapter 6 Enzymes Free energy, G ∆G‡ Free energy, G ∆GM ‡ S P ‡ S P ES Free energy, G Reaction coordinate ∆G‡ uncat ∆G‡ cat ∆GM ‡ S P ES ‡ ∆G‡ uncat ∆G‡ cat (a) No enzyme Substrate (metal stick) Transition state (bent stick) Products (broken stick) (b) Enzyme complementary to substrate Magnets (c) Enzyme complementary to transition state + ES ES ‡ E P FIGURE 6–5 An imaginary enzyme (stickase) designed to catalyze breakage of a metal stick. (a) Before the stick is broken, it must first be bent (the transition state). In both stickase examples, magnetic interactions take the place of weak bonding interactions between enzyme and substrate. (b) A stickase with a magnet-lined pocket complementary in structure to the stick (the substrate) stabilizes the substrate. Bending is impeded by the magnetic attraction between stick and stickase. (c) An enzyme with a pocket complementary to the reaction transition state helps to destabilize the stick, contributing to catalysis of the reaction. The binding energy of the magnetic interactions compensates for the increase in free energy required to bend the stick. Reaction coordinate diagrams (right) show the energy consequences of complementarity to substrate versus complementarity to transition state (EP complexes are omitted). GM, the difference between the transition-state energies of the uncatalyzed and catalyzed reactions, is contributed by the magnetic interactions between the stick and stickase. When the enzyme is complementary to the substrate (b), the ES complex is more stable and has less free energy in the ground state than substrate alone. The result is an increase in the activation energy. 8885d_c06_190-237 1/27/04 7:13 AM Page 198 mac76 mac76:385_reb:
8885dc06190-2371/27/047:13 AM Page199mac76mac76:385 6.2 How Enzymes Work This reaction rearranges the carbonyl and hydroxyl groups on carbons 1 and 2. However, more than 80% of the enzymatic rate acceleration has been traced to uncat enzyme-substrate interactions involving the phosphate group on carbon 3 of the substrate. This was determined by a careful comparison of the enzyme-catalyzed reactions with glyceraldehyde 3-phosphate and with glyceraldehyde(no phosphate group at position 3)as substrate Reaction coordinate The general principles outlined above can be illus- trated by a variety of recognized catalytic mechanisms FIGURE 6-6 Role of binding energy in catalysis. To lower the acti. These mechanisms are not mutually exclusive, and a ation energy for a reaction, the system must acquire an amount of given enzyme might incorporate several types in its energy equivalent to the amount by which AG is lowered. Much of overall mechanism of action. For most enzymes, it is dif- this energy comes from binding energy (ACB)contributed by forma- ficult to quantify the contribution of any one catalytic tion of weak noncovalent interactions between substrate and enzyme mechanism to the rate and/or specificity of a particular in the transition state. The role of AGg is analogous to that of AGm in enzyme-catalyzed reaction Figure 6-5 As we have noted, binding energy makes an impor tant and sometimes the dominant contribution to catal- rsis. Consider what needs to occur for a reaction to take ergies by the 60 to 100 kJ/mol required to explain the place. Prominent physical and thermodynamic factors large rate enhancements observed for many enzymes. contributing to AG, the barrier to reaction, might in- The same binding energy that provides energy for clude (1)a reduction in entropy, in the form of de catalysis also gives an enzyme its specificity, the abil- creased freedom of motion of two molecules in solution ity to discriminate between a substrate and a competing (2) the solvation shell of hydrogen-bonded water that molecule. Conceptually, specificity is easy to distinguish surrounds and helps to stabilize most biomolecules in from catalysis, but this distinction is much more difficult aqueous solution; ( 3) the distortion of substrates that to make experimentally, because catalysis and specificity must occur in many reactions; and(4) the need for arise from the same phenomenon. If an enzyme active proper alignment of catalytic functional groups on the site has functional groups arranged optimally to form a enzyme. Binding energy can be used to overcome all variety of weak interactions with a particular substrate these barriers in the transition state, the enzyme will not be able to in- First, a large restriction in the relative motions of teract to the same degree with any other molecule. For wo substrates that are to react, or entropy reduction, example, if the substrate has a hydroxyl group that forms is one obvious benefit of binding them to an enzyme. a hydrogen bond with a specific Glu residue on the en- Binding energy holds the substrates in the proper ori zyme, any molecule lacking a hydroxyl group at that par- entation to react-a substantial contribution to cataly- ticular position will be a poorer substrate for the enzyme. sis, because productive collisions between molecules il ddition, any molecule with an extra functional group solution can be exceedingly rare. Substrates can be pre- for which the enzyme has no pocket or binding site is cisely aligned on the enzyme, with many weak interac likely to be excluded from the enzyme. In general, spec tions between each substrate and strategically located ficity is derived from the formation of many weak in- groups on the enzyme clamping the substrate molecules teractions between the enzyme and its specific substrate into the proper positions. Studies have shown that con molecule straining the motion of two reactants can produce rate The importance of binding energy to catalysis can enhancements of many orders of magnitude(Fig. 6-7 e readily demonstrated. For example, the glycolyti Second formation of weak bonds between substrate enzyme triose phosphate isomerase catalyzes the inter- and enzyme also results in desolvation of the substrate conversion of glyceraldehyde 3-phosphate and dihy Enzyme-substrate interactions replace most or all of the dioxyacetone phosphate hydrogen bonds between the substrate and water Third, binding energy involving weak interactions formed only in the reaction transition state helps to HC-OH compensate thermodynamically for any distortion, pri- HC-OH trios marily electron redistribution, that the substrate must CH2OPo3- phosphate CH,OPo32 undergo to react Finally, the enzyme itself usually undergoes a hange in conformation when the substrate binds, in- duced by multiple weak interactions with the substrate
ergies by the 60 to 100 kJ/mol required to explain the large rate enhancements observed for many enzymes. The same binding energy that provides energy for catalysis also gives an enzyme its specificity, the ability to discriminate between a substrate and a competing molecule. Conceptually, specificity is easy to distinguish from catalysis, but this distinction is much more difficult to make experimentally, because catalysis and specificity arise from the same phenomenon. If an enzyme active site has functional groups arranged optimally to form a variety of weak interactions with a particular substrate in the transition state, the enzyme will not be able to interact to the same degree with any other molecule. For example, if the substrate has a hydroxyl group that forms a hydrogen bond with a specific Glu residue on the enzyme, any molecule lacking a hydroxyl group at that particular position will be a poorer substrate for the enzyme. In addition, any molecule with an extra functional group for which the enzyme has no pocket or binding site is likely to be excluded from the enzyme. In general, specificity is derived from the formation of many weak interactions between the enzyme and its specific substrate molecule. The importance of binding energy to catalysis can be readily demonstrated. For example, the glycolytic enzyme triose phosphate isomerase catalyzes the interconversion of glyceraldehyde 3-phosphate and dihydroxyacetone phosphate: This reaction rearranges the carbonyl and hydroxyl groups on carbons 1 and 2. However, more than 80% of the enzymatic rate acceleration has been traced to enzyme-substrate interactions involving the phosphate group on carbon 3 of the substrate. This was determined by a careful comparison of the enzyme-catalyzed reactions with glyceraldehyde 3-phosphate and with glyceraldehyde (no phosphate group at position 3) as substrate. The general principles outlined above can be illustrated by a variety of recognized catalytic mechanisms. These mechanisms are not mutually exclusive, and a given enzyme might incorporate several types in its overall mechanism of action. For most enzymes, it is difficult to quantify the contribution of any one catalytic mechanism to the rate and/or specificity of a particular enzyme-catalyzed reaction. As we have noted, binding energy makes an important, and sometimes the dominant, contribution to catalysis. Consider what needs to occur for a reaction to take place. Prominent physical and thermodynamic factors contributing to G‡ , the barrier to reaction, might include (1) a reduction in entropy, in the form of decreased freedom of motion of two molecules in solution; (2) the solvation shell of hydrogen-bonded water that surrounds and helps to stabilize most biomolecules in aqueous solution; (3) the distortion of substrates that must occur in many reactions; and (4) the need for proper alignment of catalytic functional groups on the enzyme. Binding energy can be used to overcome all these barriers. First, a large restriction in the relative motions of two substrates that are to react, or entropy reduction, is one obvious benefit of binding them to an enzyme. Binding energy holds the substrates in the proper orientation to react—a substantial contribution to catalysis, because productive collisions between molecules in solution can be exceedingly rare. Substrates can be precisely aligned on the enzyme, with many weak interactions between each substrate and strategically located groups on the enzyme clamping the substrate molecules into the proper positions. Studies have shown that constraining the motion of two reactants can produce rate enhancements of many orders of magnitude (Fig. 6–7). Second, formation of weak bonds between substrate and enzyme also results in desolvation of the substrate. Enzyme-substrate interactions replace most or all of the hydrogen bonds between the substrate and water. Third, binding energy involving weak interactions formed only in the reaction transition state helps to compensate thermodynamically for any distortion, primarily electron redistribution, that the substrate must undergo to react. Finally, the enzyme itself usually undergoes a change in conformation when the substrate binds, induced by multiple weak interactions with the substrate. 6.2 How Enzymes Work 199 ‡ Reaction coordinate S P G‡ uncat G‡ cat ‡ ES EP GB Free energy, G FIGURE 6–6 Role of binding energy in catalysis. To lower the activation energy for a reaction, the system must acquire an amount of energy equivalent to the amount by which G‡ is lowered. Much of this energy comes from binding energy (GB) contributed by formation of weak noncovalent interactions between substrate and enzyme in the transition state. The role of GB is analogous to that of GM in Figure 6–5. triose phosphate isomerase Glyceraldehyde 3-phosphate HC CH2OPO3 2 CH2OPO3 2 H2C C 1 HC OH 2 3 O Dihydroxyacetone phosphate OH O 8885d_c06_190-237 1/27/04 7:13 AM Page 199 mac76 mac76:385_reb: