86 The Role of ATP in Metabolism R W HANSON Department of Biological Sciences Plymouth Polytechnic Drake Circus, Plymouth PL4 8AA, UK Introduction The thesis presented in most textbooks of biology, cell biology and (to a lesser extent) biochemistry regarding the metabolic role of ATP is that the nucleoside triphosphate acts as the 'energy store' or as the 'energy currency' of the cell. The following passages from the book by Darnell, Lodish and Baltimore I are typical: Cells extract energy from foods through a series of reactions that have negative free energy changes. Much of the free energy released is not allowed to dissipate as heat, but is captured in chemical bonds formed by other molecules for use throughout the cell. In almost all organisms the most important molecule for capturing and transferring free energy is adenosine triphosphate, or A TP. The useful free energy in an A TP molecule is contained in highenergy phosphoanhydride bonds (p 42). The authors justify the designation of a phosphoanhydride bond as a high energy bond as follows (p 43). Although this bond is an ordinary bond it is referred to as a high energy bond because it releases about 7.3 kcal/mol of free energy when it is broken, as in hydrolysis. When summarising the involvement of ATP in energetically unfavourable reactions (p 49) it is stated that, All of these reactions are fueled by the hydrolysis of A TP. Several aspects of this type of explanation of the role of ATP are, however, questionable. Most fundamentally, Banks 2 has claimed that classical thermodynamics, which applies only to closed systems, cannot be used to analyse metabolic reactions which occur in open systems and are under kinetic control. In contrast, Atkinson, 3 and Crabtree and Taylor 4 have argued convincingly that thermodynamics can be used with advantage in discussions of metabolism. Each component reaction in a metabolic pathway must move towards equilibrium in the direction of the pathway, that is, the change in Gibbs function for every reaction in a pathway must be negative; endergonic reactions do not occur in metabolism, or indeed elsewhere, despite claims to the contrary. 5 Furthermore, each reaction must provide products at concentrations which allow the enzyme catalysing the next step in the pathway to maintain the pathway flux. Atkinson, 3 and Crabtree and Taylor 4 have given excellent accounts of how these two criteria can be assessed using the principles of equilibrium thermodynamics. It should be recognised, however, that data calculated assuming that a reaction is at equilibrium relate to a limiting situation because the reaction will, in fact, be in a steady state somewhat displaced from equilibrium. If it is accepted that thermodynamics is relevant to BIOCHEMICAL EDUCATION 17(2) 1989 discussions of the role of ATP in metabolism the use of free energy changes remains a source of much confusion to graduates and undergraduates alike. Free energy is not a conventional type of energy, like thermal or electrical energy, which is conserved according to the first law of thermodynamics. It is a function of state which was introduced by Gibbs as an indirect measure of the net production of entropy in a closed system and its surroundings. 6 In real, spontaneous processes the net entropy always increases and the Gibbs function (free energy) always decreases: neither is conserved. Furthermore the change in Gibbs function which accompanies a reaction is determined by the difference between the initial and final states of the entire system. It cannot be ascribed to a single component in the system and still less to a single bond in any component. These points have been discussed at length by several authors 2-4'7-1°. It is surprising, therefore, that many other authors continue to treat free energy as a caloric substance and that the concept of the 'high-energy bond' continues to be propagated. This last particularly in view of the fact that experimental evidence has been available for some time which shows that in at least two enzyme-catalysed reactions cleavage of the terminal phospho-anhydride bond in ATP does not "liberate significant amounts of free energy". Bagshaw and Trentham 11 have made a detailed study of the hydrolysis of ATP catalysed by the myosin ATPase of muscle fibre. Their results show that the step in which enzyme-bound ATP and water are converted to enzyme-bound ADP plus Pi has a Gibbs function change of only - 5 . 5 kJ mol -~ whereas nonenzymic hydrolysis in free solution (Eqn 1) has AG O' = -30.5 kJ mo1-1, Keq' = 1.3 x 105. ATP + H20 ~:~ ADP + Pi (1) Furthermore, Boyer and co-workers 12 have shown that ATP, ADP and Pi are essentially in equilibrium (AG' = 0 kJ mo1-1) when bound to the active site of the mitochondrial ATP synthetase complex. In both cases, the steps with large changes in Gibbs function are those involving substrate binding and product release. Perhaps when these facts become more widely known the highenergy bond will eventually be laid to rest! Finally, considerable confusion must arise from the failure of authors to distinguish between the thermodynamic and kinetic stability of ATP towards hydrolysis, and the frequent mis-use of the word hydrolysis. The moderately large change in Gibbs function accompanying the hydrolysis of ATP (Eqn 1) gives no information whatsoever about the kinetic stability of ATP in the presence of water. The nucleoside triphosphate is, in fact, stable in water for up to 6 months if stored at 4°C; 13 it is certainly not easily hydrolysed as claimed by Alberts et al. 14 Furthermore although ATP participates in many coupled reactions in which it is converted to ADP and Pi (eg Eqns 11 and 12), they do not involve hydrolysis, that is, bond cleavage as a result of reaction with water. 15 87 Indeed, the reaction catalysed by the myosin ATPase may be the only significant metabolic reaction which involves hydrolysis of the nucleotide. Here, the role of hydrolysis is not to "generate free energy" but is to displace strongly bound ATP from the protein so that another cycle of filament contraction can begin.16 The areas of confusion noted above make the metabolic role of ATP a very difficult topic to present to undergraduate students, particularly to those, such as biologists, who may have only a weak background in the physical sciences. Fortunately a coherent presentation, which avoids the pitfalls associated with interpretations of thermodynamic functions of state, can be given in terms of equilibrium constants and mass action quotients as described in this article. The concept of an equilibrium constant is simpler than that of 'free energy' and, unlike the latter, should be familiar to any student who has followed an introductory course in chemistry. Energy, the Capacity for Change As noted in the introduction, the role of ATP in metabolism is usually discussed in terms of energy transduction. Energy, however, is a difficult concept to grasp. It is defined as the capacity to do work, but since work itself is often-defined in terms of changes in energy the definition is somewhat circular. Progress can be made when it is realised that the performance of work always involves a change in the condition of the system and/or surroundings in which it occurs; energy can then be defined as the capacity to produce, or undergo, change. This definition is particularly apposite to biological systems, which are essentially networks of integrated chemical reactions, because energy transduction in such systems can then be discussed in terms of the capacity for chemical change. The capacity or potential for change in a chemical system is usually assessed in terms of the associated change in Gibbs function (AG). The latter is related to the equilibrium constant for the reaction (K'q) by Eqn 2 in which R is the gas constant, T the absolute temperature and Q' is the mass action quotient ([C] ¢ [D]d/[A]a [B] b) AG' = - R T In (geq/Q') (2) for a generalised reaction aA + bB x=~ cC + dD: note that the terms refer to initial concentrations, not to equilibrium values. Primes indicate that each concentration term has been divided by the appropriate standard state concentration: [H20] = 55.5 mol dm -3, [H ÷] = 1 x 10-7 mol dm -3, all others = 1 mol dm -3. It follows that any deduction regarding the potential for, and direction of, reaction made on the basis of AG' can be made equally well on the basis of the value of the ratio K~q/Q'. If the ratio is greater than unity, then the reaction will move towards equilibrium in the forward direction; the concentrations of C and D increase at the expense of those of A and B until, at equilibrium, Q' = K~q and the larger the value of the ratio, the greater the potential for change BIOCHEMICAL EDUCATION 17(2) 1989 towards the equilibrium state. Conversely, if g'q/Q' is less than unity, the reaction will proceed in the reverse direction. Again, the value of K'q/Q' is a measure of the potential for change; in this case the smaller the ratio, the greater the potential. It is important to be familiar with a number of other properties of equilibrium constants 9'17'1s before using them to explain the metabolic role of ATP. These are: (1) The equilibrium constant of a reaction is equal to geq/Q' when Q' is unity; it is thus a measure of the potential for the reaction to move towards equilibrium when all of the reactants are present in their standard states. (2) Because, by convention, product concentrations always appear in the numerator of the expression for an equilibrium constant and starting material concentrations in the denominator, K'q for the reverse component of a reaction is the reciprocal of the equilibrium constant for the forward component. (3) The ratio K~q/O', like AG', gives no information whatsoever about the rate at which a chemical change occurs. (4) The potential for change, as measured by K'q/Q', is entirely independent of the route by which the change occurs. This follows from the fact that the Gibbs function, G, is a function of state. (5) The equilibrium composition of a reaction mixture is unaffected by a second reaction, occurring in the same phase, provided that there is no interaction between the two sets of reactants. The situation changes radically, however, if chemical coupling exists between the two reactions. Consider, for example, two reactions (Eqns 3 and 4) coupled by a common intermediate, D, the net effect of the coupled reactions being described by Eqn 5. A+Bx~C+D D + E~F (3) + G A+B+Ex~C+F+G (4) (5) At equilibrium the concentration of D must be such that it satisfies the equilibrium expressions for both reactions 3 and 4 (Eqn 6). It then follows, via Eqn 7, that K~q for the overall reaction is equal to the product of the constants of the component reactions (Eqn 8). [DI = K~q3 [A][B] [F][G] [C] = K~q4[E] (6) K~q3 x K~q4 = [C][FI[G] [AI[B][E] (7) Keq3 × Keq4 = K~q5 (8) Since AG' values are additive, this deduction also follows from the logarithmic relationship between K'q and AG'. 88 Coupling of reactions by a common intermediate is encountered throughout biochemistry and is extremely important in enabling cells to produce acceptable concentrations of certain metabolites; this will be illustrated in a subsequent section. The Involvement of ATP in Cellular Processes The importance of ATP in metabolism is indicated by the estimate that the average human turns over his/her own body weight (60-90 kg) of it per day. 7 This very large turnover reflects the fact that ATP is involved, directly or indirectly* in virtually every area of biosynthesis in cells, as well as in 'active' solute transport, and in muscle contraction and similar phenomena. The role of ATP in each of these areas will now be discussed in more detail. The Role of ATP in Biosynthesis An examination of the biosynthetic reactions in which ATP (or another NTP) is involved shows that the great majority give rise to condensation products such as amides, glycosides or esters, (eg, see Eqn 13). Direct condensation reactions (which do not involve ATP) have equilibrium constants which are usually very much less than unity, reflecting the fact that water must be liberated into a medium in which its chemical potential is already very high. It is easy to show that reactions of this type could give rise to only very low concentrations of products in cells. These generalisations should, ideally, be illustrated using data pertaining to protein, polysaccharide, nucleic acid or lipid biosynthesis. This, unfortunately, is not possible. The data for such processes are bound to be incomplete due to difficulties associated with assigning realistic values to the concentration of a nascent peptide chain attached to a ribosome or to the concentration of a hydrated solid such as glycogen, etc. Data are available, however, relating to the reactions by which acetyl coenzyme A is produced in certain bacterial (but not in eukaryotic) cells and, because the role of ATP in the production of the thiol ester is identical with its role in all other cellular condensation reactions, these data will be used to illustrate the role of the nucleoside triphosphate. The direct condensation of acetic acid with coenzyme A (Eqn 9) CH3CO2H + HSCoA ~=~ CH 3 COSCoA + H 2 0 (9) has Keq = 3 × 10 -6 (see ref 19). This means that if the steadystate concentrations of acetic acid and of coenzyme A in a typical bacterial cell are 1 x 10 -3 mol dm -3 and 1 × 10 -5 tool dm -3, respectively, 3 then the highest concentration of acetyl coenzyme A which could co-exist with starting materials would be only 3 × 10 -14 mol dm -3. Most enzyme-substrate combinations have Km values in the micromolar range or above; a substrate concentration *All other nucleoside triphosphates can be considered to be equivalent to ATP because they are derived from the corresponding monophosphates by two successive phosphorylations, each involving ATP. B I O C H E M I C A L E D U C A T I O N 17(2) 1989 of the order of 10 -14 mol dm -3 would mean, therefore, that the rate of any reaction involving that substrate would be negligible. Furthermore product concentrations of this order would clearly be unsatisfactory in situations where a material, such as glycogen, has to be accumulated. It is not surprising therefore, that condensation products are produced indirectly in vivo by processes which, overall, have much larger equilibrium constants than the corresponding direct condensation. The corollary of the statement that condensation reactions have small equilibrium constants is that hydrolytic reactions have large ones. For example, as previously noted, the equilibrium constant for reaction 1 is 1.3 × 105. The hydrolysis of ATP shares a reactant, water, with all condensation reactions. It is, therefore, theoretically possible to couple the two processes and use the relatively high potential for ATP to undergo hydrolysis to facilitate condensation. In the case of acetyl coenzyme A, the sum of reactions 1 and 9 is given by Eqn 10, for which Keql0 = K e q l X Keq9 = 0.39. CH3CO2H + ATP + HSCoA-~CH3COSCoA + ADP + Pi (10) Thus the potential for synthesis of the condensation product from reactants in their standard state would be increased by a factor equal to K'ql. In more explicit terms, water produced by the condensation would be removed by the hydrolysis of ATP. This would maintain K'qg/Q'9 above unity, and hence allow reaction 9 to proceed until the concentration of all reactants satisfied the equilibrium equation for K'ql0. The maximum concentration of acetyl coenzyme A which could be produced by the coupled reactions would be 1.95 × 10 -5 mol dm -3 assuming the steadystate concentrations of acetic acid and coenzyme A to be as before and those of ATP, ADP and Pi to be 5 x 10 -3 mol dm -3, 1 x 10 -4 mol dm -3 and 1 x 10 -2 mol dm -3, respectively. 3 This concentration, although still small, is well within the normal physiological range of metabolite concentrations. Thus coupling the condensation to the hydrolysis of ATP would increase the maximum concentration of acetyl coenzyme A which can be formed by a factor of 6.5 x 108. This very large increase in concentration reflects both the fact that the equilibrium constant for the condensation would be increased by a factor of 1.3 x 105 (Keql) and the fact that cells maintain the mass action ratio (Q'I) for ATP hydrolysis more than eight orders of magnitude lower than the equilibrium constant (K~ql/Q'I = 6.5 x 108). In practice, however, reactions 1 and 9 cannot be coupled by water. Cells contain approximately 70% water and both reactions would proceed independently. That is, a hypothetical enzyme catalysing reaction 1 would not be able to recognise the water molecules produced by reaction 9 and only those molecules. Evolution has solved this problem in an elegant manner, utilising the fact, stated previously, that the equilibrium constant of a reaction (and, therefore, the potential for change towards 89 the equilibrium state) is independent of the route by which the reaction occurs. Enzymes have evolved which catalyse coupled reactions of the following type. In the first reaction of a coupled pair, ATP phosphorylates one starting material of the condensation, producing a product which, unlike water, can be recognised unambiguously by the enzyme catalysing the second reaction of the coupled pair; the material phosphorylated is usually a carboxylic acid or a reducing carbohydrate. In the second reaction of the coupled pair the condensation product is generated by the remaining starting material of the condensation displacing phosphate from the common, phosphorylated, intermediate. The coupled reactions of this type which are used to produce acetyl coenzyme A in certain bacterial cells are described by equations 11, (AK = acetate kinase), and 12 (PTA = phosphotransacetylase) and their net effect by Eqn 13. CH3CO2H + ATP A__~g 2+K/M CH3CO2P + ADP (11) acetyl phosphate PTA CH3CO2P + H S C o A x=~ C H 3 C O S C o A + Pi (12) anhydride. The inclusion of the nucleoside triphosphate as a reactant in a condensation allows the elements of water to be removed from the reactants, RIOH and HXR 2, and liberated, not as water, but as protons or as part of phosphate. The chemical potential of both of the latter species will be lower in the system than that of water and on this basis the potential for formation of RIXR 2, will clearly be increased in comparison with the direct condensation. Some variation in the general theme described above is seen in as much as the common intermediate produced by ATP in coupled reactions is sometimes an adenylic acid derivative, as in the activation of amino-acids during protein biosynthesis, or a pyrophosphate derivative as in the biosynthesis of polysaccharides. In all cases, however, the immediate role of ATP in biosynthesis can be summarised as follows: the participation of ATP in biosynthesis allows cells to produce physiologically acceptable concentrations of condensation products. The latter are produced by coupled reactions, involving a common phosphorylated, pyrophosphorylated, or adenylated intermediate, such that the high potential for ATP to be converted to ADP + Pi or to AMP + PPi, etc, is realised without the nucleotide being hydrolysed. C H 3 C O 2 H + ATP + HSCoA ~ C H 3 C O S C o A +ADP+Pi (13) The latter is identical with Eqn 10 and in keeping with this the equilibrium constants for Eqns 11 and 12 are 3.6 x 10 -3, and 74, respectively19'2° giving Keq'13 = 0.27*; as noted previously the maximum concentration of acetyl coenzyme A which can be produced by reaction (10/13) is of the order of 10-5 mol dm -3. Thus the high potential for an aqueous solution of ATP to be converted to an aqueous solution of ADP and Pi is realised, not by direct hydrolysis, but by a route which concomitantly produces a condensation product. A plausible mechanism for coupled reactions of the type just described might be as shown in Eqns 14 to 17: RIOH xo--R10-: + H + R10-: + M g A D P - P O ] - ~ R ~ ~ R (14) R1OPO 2- + MgADP(15) z ~_ R I ~ R z + PO34- I H ~:~ R1XR 2 + HPOa 2- (16) HPO 2- + H + ~ H2PO 4- (17) From this it can be seen that ATP is acting as a dehydrating agent as would be expected of an acid *The small difference between this figure and that given previously for reaction 10 reflects the difficulties associated with the determination of very large, or very small, equilibrium constants. BIOCHEMICAL EDUCATION 17(2) 1989 The Role of ATP in Solute Transport One of the most thoroughly investigated solute transport systems involving ATP is the calcium pump of the sarcoplasmic reticulum. 16 In a resting muscle cell the pump maintains the concentration of calcium ions in the sarcoplasmic reticulum at a level of 1 x 10-3 mol dm -3 and in the cytoplasm at a level of 1 x 10 -6 mol dm -3. Unfortunately, quantitative analysis of the system in terms of Keqand Q' for the ion transfer (Eqn 18) 2+ 2Cacyto ~ 2Ca~2+ (18) is complicated by the existence of an electrical potential gradient across the membrane. 4 It is clear, however, that in the absence of the pump, the potential for change would be such that calcium would re-enter the cytoplasm (as it does when gated calcium channels are opened on receipt of a nerve impulse). The presence of the pump allows ion transfer to occur against the opposing chemical and electrical potential gradients by coupling it to the conversion of ATP to ADP and Pi. The pump, which spans the membrane, is thought to bind two calcium ions at a high affinity site (E in Eqns 19 to 24) on its cytoplasmic face (Eqn 19). ATP is then bound at a separate site and the 13-carboxyl group of an aspartic acid residue is phosphorylated (Eqn 20). It is suggested that the introduction of the phosphoryl group allows additional non-covalent bonds to be formed between it and the protein such that the conformation of the latter is changed; the calcium binding site is converted to a low affinity site (E* in Eqns 21 to 24) which is now accessible to the sarcoplasmic reticulum (Eqn 21). The calcium ion is released from this site (Eqn 22) and, finally, the pump is 90 1 returned to its original conformation by hydrolysis of the 13-aspartylphosphate group (Eqns 23 and 24). 2+ ~=~ E.Ca22+ E + 2Cacyto (19) E.Ca 2+ + ATP x=~ E - P . C a 2+ + ADP (20) M 2 (21) E*-P.Ca22+ x=~ E * - P + 2Ca~+ (22) E * - P + H 2 0 Xr~ E* + Pi (23) E* x=~ E (24) 2 L ~p r A E - P - C a 2+ x=~ E*-P.Ca22+ 1 M 1 A t M 1 ~'2 ) A 4 ' 2 ~)~ADP'Pi M 2+ 2Cacyto + ATP + H 2 0 x=~ 2Ca2~++ ADP + Pi (25) The overall function of the pump is described by Eqn 25, which is the sum of Eqns 18 and 1. As in the case of the synthesis of acetyl coenzyme A, the inclusion of ATP as a reactant in the process will increase the potential for change in the required direction by a factor of 6.5 × 108. Thus, the role of the nucleotide is exactly the same as in biosynthesis - - the high potential for it to be converted to ADP and Pi is realised, not by direct hydrolysis, but in such a way that a process which would otherwise have a low potential for change is facilitated. ATP and Muscle Contraction Although the details remain elusive, Huxley's 'sliding filament' model is widely accepted as providing the best explanation of the mechanism of muscle contraction. 16'21 Muscle fibres contain interdigitating arrays of thin actin and thick myosin filaments. 'Cross-bridges' are present between the filaments where protrusions (headpieces) on the myosin filament make contact with binding sites on the actin filament. The essence of Huxley's model is that the cross-bridges go through an oar-like motion, sliding the thick and thin filaments past each other, thus shortening the muscle fibre. After an individual crossbridge has undergone a power stroke, the myosin head detaches from the actin filament, returns to its original conformation (the back-stroke of the oar) and then attaches to an adjacent binding site on the actin filament (Fig. 1). The sequence of events is then repeated. In the absence of ATP ADP and Pi, the potential for the overall change depicted in Fig 1 and Eqn 26 to occur would be very small. A1.M + A2 xr:~A2.M + A 1 (26) Steps 1 and 3 involve mechanical work, while step 2 involves breaking strong protein-protein interactions. Only step 4, which involves bond formation, would be expected to have a favourable equilibrium constant. As in the cases of the biosynthesis of condensation products and of solute transport, evolution has overcome this problem by coupling the low potential process to the conversion of BIOCHEMICAL EDUCATION 17(2) 1989 Figure 1 The cross-bridge model of muscle contraction ATP to ADP and Pi. The steps in the process may be as shown in Fig 1 and Eqns 27 to 30. A1.M.ADP.Pi ~ AI.M * + ADP + Pi (27) AI.M * + ATP ~ M*.ATP + A 1 (28) M*.ATP + H 2 0 ~=~ M.ADP.Pi (29) M.ADP.Pi + A 2 ~ A2.M.ADP.Pi (30) A1.M.ADP.Pi + A 2 + ATP + H 2 0 ~:~ A2.M.ADP-Pi + A' + ADP + Pi (31) In the equations, M represents a myosin head in a conformation such that it makes an angle of approximately 90 ° to the actin filament to which it binds, while M* represents a myosin head in a 45° conformation with respect to the actin filament. As noted previously, Bagshaw and Trentham's 11 analysis of the hydrolysis of ATP catalysed by myosin showed that the steps with large equilibrium constants are those involving substrate binding and product release. In keeping with this, it is suggested that the force generating step in muscle contraction is associated with product (specifically ADP) release from an actomyosin ADP.Pi complex (Step 1, Fig. 1; Eqn 27). As a result of product release, the conformation of the myosin head changes from the 90° state to the 45 ° state and the actin filament moves with respect to the myosin filament. In order for further movement to occur, the strongly-bound myosin must be displaced from the actomyosin complex. This is achieved by ATP binding when one set of strong bonds is replaced by another (Step 2, Fig 1; Eqn 28). Strongly bound ATP must then, in turn, be displaced from myosin; this is accomplished by hydrolysis (Step 3, Fig 1; Eqn 29). The free energy change associated with hydrolysis ( - 5 . 5 kJ mol-1), corresponding to a value of K~q/Q' of approximately 10, indicates that there is a small, but significant, potential for the change to occur. It is not 91 certain whether the myosin head reverts to the 90° conformation immediately after detachment from the actin filament, or whether the conformational change accompanies hydrolysis of ATP. Finally the myosin ADP.Pi complex re-binds to actin at a site adjacent to the previous binding site (Step 4, Fig 1; Eqn 30). The complete cross bridge cycle is described by Eqn 31. During muscle contraction, in contrast to the synthesis of condensation products and ion transport, ATP is actually hydrolysed. It is important to remember, however, that it is the steps involving ATP binding and ADP.Pi release which have large equilibrium constants and which are used to increase the potential for the change described by Eqn 28 to occur. Hydrolysis of the nucleotide appears to be used only to convert it from a tightly-bound form (ATP) to a form (ADP.Pi) which is potentially easily lost to the medium. Summary The preceding discussions of the role of ATP in biosynthesis, solute transport and muscle contraction appear to be compatible with the description of A T P a s the 'energy currency, or store' of the cell. The high potential for ATP to be converted to ADP and Pi is used to increase the potential for change in other systems. Thus ATP could be said to supply energy to these systems. 'This view, however, is too restrictive; in order to obtain a more realistic assessment of the role of ATP, the overall metabolism of the cell must be considered. The concentration of ATP in cells is no higher than that of many other metabolites and certainly not high enough for it to act as a store of energy. For it to continue to function as described, it must be continually re-synthesised from ADP and Pi. Re-synthesis occurs concomitantly with the oxidation of carbon compounds (oxidative phosphorylation), especially carbohydrates and fats. The potential for these oxidative reactions to occur is enormous. For example, the complete oxidation of glucose (Eqn 32) has Keq = 1 × 1048°: C6H1206 + 602 = 6CO2 -t- 1 2 H 2 0 (32) (AG o' = -2850 kJ mo1-1) while the oxidation of palmitic acid (Eqn 33) has Keq = 1 x 101648 (AG o' = -9781 kJ m o l - 1 ) . 22 C16H3202 + 2302 = 16CO2 + 16H20 (33) Comparison of these values with those for reaction 1 shows clearly that ingested carbon compounds, not ATP, are the energy currency of cells. The immense potential for oxidative reactions to occur cannot, however, affect the potential for change in other systems unless some form of chemical coupling exists between them; ATP provides, in part, the requisite coupling (Fig 2). The qualification, 'in part', is necessary because the A T P - A D P - P i system is not the only one which couples oxidation to low potential processes. The proton circuit which exists across the inner BIOCHEMICAL E D U C A T I O N 17(2) 1989 ~ tm, irtimo l~id ~ n ~ vt,~am. ~ute l C02 + 1"t20 Figure 2 Schematic summary o f cellular metabolism mitochondrial membrane of eukaryotic cells and across the cytoplasmic membrane in prokaryotic cells also couples oxidative reactions to a small number of low potential processes. Thus besides coupling oxidative reactions to ATP biosynthesis the proton circuit is also claimed to drive heat production in brown fat mitochondria, the rotation of bacterial flagella and the transport of a number of solutes. ~ The utility of the two coupling systems, however, is very different. The proton circuit must, of necessity, operate across a membrane; it is a vectorial device which cannot be used in free solution. Additionally, the chemistry and kinetic versatility of protons is limited. In contrast, ATP can be used in free solution, it participates in a wide variety of reactions and processes and is clearly very versatile in a kinetic sense. The numerous functional groups in the nucleotide provide great potential for bond formation with metal ions and with functional groups within the active sites of enzymes. Bond formation can alter the electronic properties of the nucleotide and also the accessibility of functional groups within it (by alterations in conformation) and can thus determine its kinetic reactivity. Indeed, the kinetic properties of ATP are probably at least as important, if not more important, than its thermodynamic properties in determining the central role which the nucleotide plays in metabolism. The equilibrium constant for the hydrolysis of ATP is important in as much that it must be large enough to offset the small equilibrium constants associated with condensation reactions and other low potential processes; it should not, however, be extreme, otherwise ATP could not be easily synthesised. 2 In contrast, the kinetic versatility of ATP in the presence of appropriate enzymes and, usually, magnesium ions allows it to couple oxidation to a large number of biosynthetic reactions and other processes and its kinetic stability in the absence of enzymes allows these reactions and processes to be controlled by variations in enzyme activity. In conclusion, the preceding discussions suggest that if the role of ATP in metabolism is to be dealt with in 'energetic' terms, the nucleotide can be described only as an energy transducing agent, not as a source, or store, of energy. ATP is probably best described as a kinetically versatile coupling agent which allows the high potential for ingested carbon compounds to be oxidised to be 92 realised in such a way that low potential processes such as biosynthesis, active transport and muscle contraction are facilitated. References l Darnell, J, Lodish, H and Baltimore, D (1986) 'Molecular Cell Biology', Scientific American Books, W H Freeman, New York, 42-49 /Banks, B E C (1969) Chemistry in Britain 5,514-519 3Atkinson, D E (1977) 'Cellular Energy Metabolism and its Regulation', Academic Press, New York 4Crabtree, B and Taylor, D J (1979) in 'Biochemical Thermodynamics', Edited by Jones, M N, Elsevier, Amsterdam, 333-379 5Watson, J D, Hopkins, N H, Roberts, J W, Steitz, J A and Weiner, A M (1987) 'Molecular Biology of The Gene', Vol 1, Fourth Edition, Benjamin-Cummings, Menlo Park, p 167 6Allen, A (1983) Trends in Biochem Sci 8, 81-82 7Banks, B E C and Vernon, C A (1978) Trends in Biochem Sci 3, N156-158 8Novick, S (1976) J Biol Educ 10, 116-118 9Morris, J C (1974) 'A Biologist's Physical Chemistry', Second Edition, Edward Arnold, London l°Chappeli, J B (1977) 'ATP', Carolina Biology Reader No 50, Carolina Biological Supply Co, Burlington, NC, USA llBagshaw, C R and Trentham, D R (1983) Biochem J 133,323-328 ~2Reported by Hatefi, Y (1985) Ann Rev Biochem 54, 1075-1089 ~3Bioehemica Information II (1975), Boehringer Mannheim GmbH, 21 a4Alberts, B, Bray, D, Lewis, J, Raft, M, Roberts, K and Watson, J D (1983) 'The Molecular Biology of the Cell', Garland, New York, p 67 15Hawsley, M G G (1981) in 'The Condensed Chemical Dictionary', Tenth Edition, Edited by Sobers, H A, Van Nostrand Reinhold, New York, p 546 a6Eisenberg, E and Hill, T L (1985) Science 227, 999-1006 17Harris, W F (1982) J Chem Educ 59, 1034-1036 18McPartland, A A and Segal, I H (1986) Biochem Educ 14, 137-141 ~9jencks, W P (1968) in 'Handbook of Biochemistry', Second Edition, CRC Press, Cleveland, OH, J181-J186 2°Stadman, E R (1955) Meth Enzymol Vol 1,596-599 21Hibberd, M G and Trentham, D R (1986) Ann Rev Biochem 15, 119-161 22Lehninger, A L (1970) 'Biochemistry', Worth, New York, p 298 23Harold, F M (1986) 'The Vital Force: A Study of Bio-energetics', W H Freeman, New York BIOCHEMICAL EDUCATION 17(2) 1989 Does Free-energy Change of Individual Reactions Alone Determine the Flux through a Metabolic Pathway? ABRAHAM K ABRAHAM Department of Biochemistry Faculty of Medicine University of Kuwait, Kuwait Introduction One of the most important facts that needs to be known about a metabolic pathway is the flux through the pathway. This can be determined from the free energy change, AG, of its individual reactions. Most textbooks of biochemistry emphasise this point. Thus for any given metabolic pathway, the flux through the pathway in the forward direction is possible only if the AG values of all individual reactions are negative, except in the case of coupled reactions. In other words, it is not sufficient that the overall value of free-energy changes is negative. Yet, when this point is described in more detail later in the book by providing the AG values of glycolytic reactions, ~'2 the data presented seem to confuse the students. Free Energy Several text b o o k s 1-3 provide the standard free-energy change, AG °, and the actual free-energy change, AG, calculated from mass action ratios for individual reactions of the glycolytic pathway. One of the reasons for presenting these details is probably to illustrate that while the standard free-energy change, AG ° , of some reactions have a positive value, the actual free-energy change, AG, of all reactions are negative, thus re-emphasising the basic concept taught earlier under bioenergetics. However, the data presented show that the actual free-energy change, of several reactions of this pathway are positive. 1"2 This increase in the free-energy depicted for several reactions has been pointed out, and explained as deriving from errors in experimental measurements, z Another text book provides no explanation for the positive AG values.1 Two out of the three reaction steps with positive AG values do not confuse the majority of students. 1 These reactions are: (1) conversion of dihydroxyacetone phosphate to glyceraldehyde 3-phosphate by triosephosphate isomerase, and (2) the conversion of 1,3-glycerate bisphosphate to 3-phosphoglycerate by phosphoglycerate kinase. In the first case, being a side reaction, it is easy to understand that this reaction does not prevent the flux of glucose along the glycolytic pathway. In the second case, if a student is able to recall that the reactions catalysed by glyceraldehyde 3-phosphate dehydrogenase and phosphoglycerate kinase are coupled, they should be able to work out the overall freeenergy change which is in fact negative. For the reaction catalysed by phosphoglyceromutase ie conversion of 3-phosphoglycerate to 2-phosphoglycerate, also shown with a positive AG value, 1 it is difficult for the students to understand how glycolysis can proceed beyond