CHAPTER 14 Metabolism: Basic Concepts and Design 14.1 Metabolism Is Composed of Many Interconnecting Reactions 14.2 ATP Is the Universal Currency of Free Energy 14.3 The Oxidation of Carbon Fuels Is an Important Source of Cellular Energy 14.4 Metabolic Pathways Contain Many Recurring Motifs 14.5 Metabolic Processes Are Regulated in Three Principal Ways Complex patterns can be constructed from simple geometrical shapes that are repeated on different scales, as in fractals. Likewise, the complex biochemistry of a cell—intermediary metabolism—is constructed from a limited number of recurring motifs, reactions, and molecules. [© Joan Kerrigan/Dreamstime.com.] L iving organisms require a continual input of free energy for three major purposes: (1) the performance of mechanical work in muscle contraction and cellular movements, (2) the active transport of molecules and ions, and (3) the synthesis of macromolecules and other biomolecules from simple precursors. The free energy used in these processes is derived from the environment. Photosynthetic organisms, or phototrophs, obtain this energy by trapping sunlight, whereas chemotrophs, which include animals, obtain energy through the oxidation of carbon fuels. Recall that these carbon fuels are ingested as meals and prepared for use by the cells in the process of digestion. In this chapter, we will examine some of the basic principles that underlie energy flow in all living systems. These principles are: 1. Fuels are degraded and large molecules are constructed step by step in a series of linked reactions called metabolic pathways. 203 2. An energy currency common to all life forms, adenosine triphosphate (ATP), links energy-releasing pathways with energy-requiring pathways. CH2OH O OH 3. The oxidation of carbon fuels powers the formation of ATP. HO OH 4. Although there are many metabolic pathways, a limited number of types of reactions and particular intermediates are common to many pathways. OH Glucose 5. Metabolic pathways are highly regulated. 10 steps 14.1 Metabolism Is Composed of Many Interconnecting Reactions O C H3C C O – O Pyruvate Anaerobic Aerobic C H3C O OH H C O O – C H3C CoA S Acetyl CoA Metabolism is essentially a linked series of chemical reactions that begins with a particular biochemical and converts it into some other required biochemical in a carefully defined fashion (Figure 14.1). These metabolic pathways process a biochemical from a starting point (glucose, for instance) to an end point (carbon dioxide, water, and biochemically useful energy, in regard to glucose) without the generation of wasteful or harmful side products. There are many such defined pathways in the cell (Figure 14.2), together called intermediary metabolism, and we will examine many of them in some detail later. These pathways are interdependent—a biochemical ecosystem—and their activities are coordinated by exquisitely sensitive means of communication in which allosteric enzymes are predominant. We considered the principles of this communication in Chapter 12. Lactate Figure 14.1 Glucose metabolism. Glucose is metabolized to pyruvate in 10 linked reactions. Under anaerobic conditions, pyruvate is metabolized to lactate and, under aerobic conditions, to acetyl CoA. The glucose-derived carbon atoms of acetyl CoA are subsequently oxidized to CO2. Metabolism of Cofactors and Vitamins Metabolism of Complex Carbohydrates Nucleotide Metabolism Metabolism of Complex Lipids Carbohydrate Metabolism Metabolism of Other Amino Acids Lipid Metabolism Amino Acid Metabolism Energy Metabolism Metabolism of Other Substances Figure 14.2 Metabolic pathways. [From the Kyoto Encyclopedia of Genes and Genomes (www.genome.ad.jp/kegg).] 204 Metabolism Consists of Energy-Yielding Reactions and Energy-Requiring Reactions We can divide metabolic pathways into two broad classes: (1) those that convert energy from fuels into biologically useful forms and (2) those that require inputs of energy to proceed. Although this division is often imprecise, it is nonetheless a useful distinction in an examination of metabolism. Those reactions that transform fuels into cellular energy are called catabolic reactions or, more generally, catabolism. Catabolism Fuel (carbohydrates, fats) 9999: CO2 + H2O + useful energy Those reactions that require energy—such as the synthesis of glucose, fats, or DNA—are anabolic reactions or anabolism. The useful forms of energy that are produced in catabolism are employed in anabolism to generate complex structures from simple ones, or energy-rich states from energy-poor ones. Anabolism Useful energy + simple precursors 9999: complex molecules Some pathways can be either anabolic or catabolic, depending on the energy conditions in the cell. They are referred to as amphibolic pathways. An important general principle of metabolism is that biosynthetic and degradative pathways are almost always distinct from each other. This separation is necessary for energetic reasons, as will be evident in subsequent chapters. It also facilitates the control of metabolism. A Thermodynamically Unfavorable Reaction Can Be Driven by a Favorable Reaction How are specific pathways constructed from individual reactions? A pathway must satisfy minimally two criteria: (1) the individual reactions must be specific and (2) the entire set of reactions that constitute the pathway must be thermodynamically favored. A reaction that is specific will yield only one particular product or set of products from its reactants. For example, glucose can undergo step-by-step conversion to yield carbon dioxide and water as well as useful energy. This conversion is extremely energy efficient because each step is facilitated by enzymes—highly specific catalysts. The thermodynamics of metabolism is most readily approached in relation to free energy, which was discussed in Chapter 5. A reaction can take place spontaneously only if ⌬G, the change in free energy, is negative. Recall that ⌬G for the formation of products C and D from substrates A and B is given by ¢G = ¢G°¿ + RT ln [C][D] [A][B] Thus, the ⌬G of a reaction depends on the nature of the reactants and products (expressed by the ⌬G°⬘ term, the standard free-energy change) and on their concentrations (expressed by the second term). An important thermodynamic fact is that the overall free-energy change for a chemically coupled series of reactions is equal to the sum of the free-energy changes of the individual steps. Consider the following reactions: A Δ B + C ¢G°¿ = + 21 kJ mol - 1 ( + 5 kcal mol - 1) B Δ D ¢G°¿ = - 34 kJ mol - 1 ( - 8 kcal mol - 1) A Δ C + D ¢G°¿ = - 13 kJ mol - 1 ( - 3 kcal mol - 1) Under standard conditions, A cannot be spontaneously converted into B and C, because ⌬G°⬘ is positive. However, the conversion of B into D under standard conditions is thermodynamically feasible. Because free-energy changes are additive, the conversion of A into C and D has a ⌬G°⬘ of ⫺13 kJ mol⫺1 (⫺3 kcal mol⫺1), 205 14.1 Coupled Reactions which means that it can take place spontaneously under standard conditions. Thus, a thermodynamically unfavorable reaction can be driven by a thermodynamically favorable reaction to which it is coupled. In this example, the reactions are coupled by the shared chemical intermediate B. Metabolic pathways are formed by the coupling of enzyme-catalyzed reactions such that the overall free energy of the pathway is negative. 206 14 Metabolism: Basic Concepts and Design 14.2 ATP Is the Universal Currency of Free Energy Just as commerce is facilitated by the use of a common monetary currency, the commerce of the cell—metabolism—is facilitated by the use of a common energy currency, adenosine triphosphate (ATP). Part of the free energy derived from the oxidation of carbon fuels and from light is transformed into this readily available molecule, which acts as the free-energy donor in most energy-requiring processes such as motion, active transport, or biosynthesis. Indeed, most of catabolism consists of reactions that extract energy from fuels such as carbohydrates and fats and convert it into ATP. ATP Hydrolysis Is Exergonic ATP is a nucleotide consisting of adenine, a ribose, and a triphosphate unit (Figure 14.3). In considering the role of ATP as an energy carrier, we can focus on its triphosphate moiety. ATP is an energy-rich molecule because its triphosphate unit contains two phosphoanhydride bonds. Phosphoanhydride bonds are formed between two phosphoryl groups accompanied by the loss of a molecule of water. A large amount of free energy is liberated when ATP is hydrolyzed to adenosine diphosphate (ADP) and orthophosphate (Pi) or when ATP is hydrolyzed to adenosine monophosphate (AMP) and pyrophosphate (PPi). ¢G°¿ = - 30.5 kJ mol - 1 ( - 7.3 kcal mol - 1) ATP + H2O Δ ADP + Pi ATP + H2O Δ AMP + PPi ¢G°¿ = - 45.6 kJ mol - 1 ( - 10.9 kcal mol - 1) The precise ⌬G°⬘ for these reactions depends on the ionic strength of the medium and on the concentrations of Mg2⫹ and other metal ions in the medium. Under NH2 2– – O O P O ␥ P O O – O  P O O N ␣ O N N O HO O P O N O N – 2– O P O O O OH HO NH2 O P O OH Adenosine diphosphate (ADP) N 2– N O Adenosine triphosphate (ATP) Figure 14.3 Structures of ATP, ADP, and AMP. These adenylates consist of adenine (blue), a ribose (black), and a tri-, di-, or monophosphate unit (red). The innermost phosphorus atom of ATP is designated P␣, the middle one P, and the outermost one P␥. N O O O N O HO N N OH Adenosine monophosphate (AMP) typical cellular concentrations, the actual ⌬G for these hydrolyses is approximately ⫺50 kJ mol⫺1 (⫺12 kcal mol⫺1). The free energy liberated in the hydrolysis of ATP is harnessed to drive reactions that require an input of free energy, such as muscle contraction. In turn, ATP is formed from ADP and Pi when fuel molecules are oxidized in chemotrophs or when light is trapped by phototrophs. This ATP–ADP cycle is the fundamental mode of energy exchange in biological systems. ATP Hydrolysis Drives Metabolism by Shifting the Equilibrium of Coupled Reactions An otherwise unfavorable reaction can be made possible by coupling to ATP hydrolysis. Consider a chemical reaction that is thermodynamically unfavorable without an input of free energy, a situation common to many biosynthetic reactions. Suppose that the standard free energy of the conversion of compound A into compound B is ⫹16.7 kJ mol⫺1 (⫹4.0 kcal mol⫺1): A Δ B ¢G°¿ = + 16.7 kJ mol - 1 ( + 4.0 kcal mol - 1) ⬘ of this reaction at 25°C is related to ⌬G°⬘ (in units The equilibrium constant K eq of kilojoules per mole) by œ K eq = [B]eq/[A]eq = 10 - ¢G°¿/5.69 = 1.15 * 10 - 3 Thus, the net conversion of A into B cannot take place when the molar ratio of B to A is equal to or greater than 1.15 ⫻ 10⫺3. However, A can be converted into B under these conditions if the reaction is coupled to the hydrolysis of ATP. Under standard conditions, the ⌬G°⬘ of hydrolysis is approximately ⫺30.5 kJ mol⫺1 (⫺7.3 kcal mol⫺1). The new overall reaction is A + ATP + H2O Δ B + ADP + Pi ¢G°¿ = -13.8 kJ mol - 1 ( - 3.3 kcal mol - 1) Its free-energy change of ⫺13.8 kJ mol⫺1 (⫺3.3 kcal mol⫺1) is the sum of the value of ⌬G°⬘ for the conversion of A into B [⫹16.7 kJ mol⫺1 (⫹4.0 kcal mol⫺1)] and the value of ⌬G°⬘ for the hydrolysis of ATP [⫺30.5 kJ mol⫺1 (⫺7.3 kcal mol⫺1)]. At pH 7, the equilibrium constant of this coupled reaction is œ K eq = [B]eq [A]eq * [ADP]eq[Pi]eq [ATP]eq = 1013.8/5.69 = 2.67 * 102 At equilibrium, the ratio of [B] to [A] is given by [B]eq [A]eq œ = K eq [ATP]eq [ADP]eq[Pi]eq which means that the hydrolysis of ATP enables A to be converted into B until the [B]/[A] ratio reaches a value of 2.67 ⫻ 102. This equilibrium ratio is strikingly different from the value of 1.15 ⫻ 10⫺3 for the reaction A : B in the absence of ATP hydrolysis. In other words, coupling the hydrolysis of ATP with the conversion of A into B under standard conditions has changed the equilibrium ratio of B to A by a factor of about 105. If we were to use the ⌬G of hydrolysis of ATP under cellular conditions [⫺50.2 kJ mol⫺1 (⫺12 kcal mol⫺1)] in our calculations instead of ⌬G°⬘, the change in the equilibrium ratio would be even more dramatic, of the order of 108. We see here the thermodynamic essence of ATP’s action as an energycoupling agent. In the cell, the hydrolysis of an ATP molecule in a coupled reaction changes the equilibrium ratio of products to reactants by a very large factor, of the 207 14.2 ATP: Currency of Free Energy order of 108. Thus, a thermodynamically unfavorable reaction sequence can be converted into a favorable one by coupling it to the hydrolysis of ATP molecules in a new reaction. We should also emphasize that A and B in the preceding coupled reaction may be interpreted very generally, not only as different chemical species. For example, A and B may represent activated and unactivated conformations of a protein that is activated by phosphorylation with ATP. Through such changes in protein conformation, muscle proteins convert the chemical energy of ATP into the mechanical energy of muscle contraction. Alternatively, A and B may refer to the concentrations of an ion or molecule on the outside and inside of a cell, as in the active transport of a nutrient. 208 14 Metabolism: Basic Concepts and Design The High Phosphoryl Potential of ATP Results from Structural Differences Between ATP and Its Hydrolysis Products What makes ATP a particularly efficient energy currency? Let us compare the standard free energy of hydrolysis of ATP with that of a phosphate ester, such as glycerol 3-phosphate: ¢G°¿ = - 30.5 kJ mol - 1 ( - 7.3 kcal mol - 1) ATP + H2O Δ ADP + Pi Glycerol 3-phosphate + H2O Δ glycerol + Pi ¢G°¿ = - 9.2 kJ mol - 1 ( - 2.2 kcal mol - 1) O– O P HO P O– O– HO O– O O– 1. Electrostatic Repulsion. At pH 7, the triphosphate unit of ATP carries about four negative charges (see Figure 14.3). These charges repel one another because they are in close proximity. The repulsion between them is reduced when ATP is hydrolyzed. O– P HO The magnitude of ⌬G°⬘ for the hydrolysis of glycerol 3-phosphate is much smaller than that of ATP, which means that ATP has a stronger tendency to transfer its terminal phosphoryl group to water than does glycerol 3-phosphate. In other words, ATP has a higher phosphoryl-transfer potential (phosphoryl-group-transfer potential) than does glycerol 3-phosphate. The high phosphoryl-transfer potential of ATP can be explained by features of the ATP structure. Because ⌬G°⬘ depends on the difference in free energies of the products and reactants, we need to examine the structures of both ATP and its hydrolysis products, ADP and Pi, to understand the basis of high phosphoryltransfer potential. Three factors are important: electrostatic repulsion, resonance stabilization, and stabilization due to hydration. +HO O O– P O– O– 2. Resonance Stabilization. ADP and, particularly, Pi have greater resonance stabilization than does ATP. Orthophosphate has a number of resonance forms of similar energy (Figure 14.4), whereas the ␥ phosphoryl group of ATP has a smaller number (Figure 14.5). Forms like that shown on the right in Figure 14.5 are unfavorable because a positively charged oxygen atom is adjacent to a positively charged phosphorus atom, an electrostatically unfavorable juxtaposition. Figure 14.4 Resonance structures of orthophosphate. 3. Stabilization Due to Hydration. More water can bind more effectively to ADP and Pi than can bind to the phosphoanhydride part of ATP, stabilizing the ADP and Pi by hydration. QUICK QUIZ 1 What properties of ATP make it an especially effective phophoryl-transfer-potential compound? O O P AMP O – O P O O– O– O O– P AMP O O– P O O O– O O– P AMP O O– P+ P O O O– O– O AMP O O– + O P O– O– Figure 14.5 Improbable resonance structure. There are fewer resonance structures available to the ␥-phosphate of ATP than to free orthophosphate. Phosphoryl-Transfer Potential Is an Important Form of Cellular Energy Transformation 209 14.2 ATP: Currency of Free Energy The standard free energies of hydrolysis provide a convenient means of comparing the phosphoryl-transfer potential of phosphorylated compounds. Such comparisons reveal that ATP is not the only compound with a high phosphoryl-transfer potential. In fact, some compounds in biological systems have a higher phosphoryl-transfer potential than that of ATP. These compounds include phosphoenolpyruvate (PEP), 1,3-bisphosphoglycerate (1,3-BPG), and creatine phosphate (Figure 14.6). H O – C C H 2– O O P C O NH O O – C O O Phosphoenolpyruvate (PEP) H2 C 2– O P C N N H O O CH3 2– O H2 C P O O O C C HO Creatine phosphate Thus, PEP can transfer its phosphoryl group to ADP to form ATP. Indeed, this transfer is one of the ways in which ATP is generated in the breakdown of sugars (pp. 231 and 233). Of significance is that ATP has a phosphoryl-transfer potential that is intermediate among the biologically important phosphorylated molecules (Table 14.1). This intermediate position enables ATP to function efficiently as a carrier of phosphoryl groups. Table 14.1 Standard free energies of hydrolysis of some phosphorylated compounds kJ mol⫺1 Phosphoenolpyruvate 1,3-Bisphosphoglycerate Creatine phosphate ATP (to ADP) Glucose 1-phosphate Pyrophosphate Glucose 6-phosphate Glycerol 3-phosphate ⫺61.9 ⫺49.4 ⫺43.1 ⫺30.5 ⫺20.9 ⫺19.3 ⫺13.8 ⫺9.2 O O 1,3-Bisphosphoglycerate (1,3-BPG) Figure 14.6 Compounds with high phosphoryl-transfer potential. These compounds have a higher phosphoryl-transfer potential than that of ATP and can be used to phosphorylate ADP to form ATP. Compound P O H 2– O O kcal mol⫺1 ⫺14.8 ⫺11.8 ⫺10.3 ⫺7.3 ⫺5.0 ⫺4.6 ⫺3.3 ⫺2.2 Clinical Insight Exercise Depends on Various Means of Generating ATP At rest, muscle contains only enough ATP to sustain contractile activity for less than a second. Creatine phosphate, a high-phosphoryl-transfer-potential molecule in vertebrate muscle, serves as a reservoir of high-potential phosphoryl groups that can be readily transferred to ATP. This reaction is catalyzed by creatine kinase. Creatine kinase Creatine phosphate + ADP ERRF ATP + creatine In resting muscle, typical concentrations of these metabolites are [ATP] ⫽ 4 mM, [ADP] ⫽ 0.013 mM, [creatine phosphate] ⫽ 25 mM, and [creatine] ⫽13 mM. Because of its abundance and high phosphoryl-transfer potential relative to that of ATP (see Table 14.1), creatine phosphate is a highly effective phosphoryl buffer. Indeed, creatine phosphate is the major source of phosphoryl groups for ATP regeneration for activities that require quick bursts of energy or short, intense sprints (Figure 14.7). The fact that creatine phosphate can replenish ATP pools is 210 14 Metabolism: Basic Concepts and Design Figure 14.7 Sprint to the finish. Creatine phosphate is an energy source for intense sprints. Here, Alessandro Petacchi sprints to a victory in a stage of the 2007 Vuelta a España. [Jose Luis Roca/AFP/Getty Images.] the basis of creatine’s use as a dietary supplement by athletes in sports requiring short bursts of intense activity. After the creatine phosphate pool is depleted, ATP must be generated through metabolism (Figure 14.8). ■ ATP Aerobic metabolism (Sections 8 and 9) Creatine phosphate Seconds Minutes Hours 14.3 The Oxidation of Carbon Fuels Is an Important Source of Cellular Energy Motion Active transport Biosyntheses Signal amplification ATP Energy Figure 14.8 Sources of ATP during exercise. Exercise is initially powered by existing high-phosphoryl-transfer compounds (ATP and creatine phosphate). Subsequently, the ATP must be regenerated by metabolic pathways. Anaerobic metabolism (Section 7) ADP Oxidation of fuel molecules or Photosynthesis Figure 14.9 The ATP–ADP cycle. This cycle is the fundamental mode of energy exchange in biological systems. ATP serves as the principal immediate donor of free energy in biological systems rather than as a long-term storage form of free energy. In a typical cell, an ATP molecule is consumed within a minute of its formation. Although the total quantity of ATP in the body is limited to approximately 100 g, the turnover of this small quantity of ATP is very high. For example, a resting human being consumes about 40 kg (88 pounds) of ATP in 24 hours. During strenuous exertion, the rate of utilization of ATP may be as high as 0.5 kg (1.1 pounds) per minute. For a 2-hour run, 60 kg (132 pounds) of ATP is utilized. Clearly, having mechanisms for regenerating ATP is vital. Motion, active transport, signal amplification, and biosynthesis can take place only if ATP is continually regenerated from ADP (Figure 14.9). The generation of ATP is one of the primary roles of catabolism. The carbon in fuel molecules—such as glucose and fats—is oxidized to CO2, and the energy released is used to regenerate ATP from ADP and Pi. Carbon Oxidation Is Paired with a Reduction 211 14.3 Oxidation of Carbon Fuels All oxidation reactions include the loss of electrons from the molecule being oxidized—carbon fuels in this case—and the gaining of those electrons by some other molecule, a process termed reduction. Such coupled reactions are called oxidation–reduction or redox reactions. In aerobic organisms, the ultimate electron acceptor in the oxidation of carbon is O2 and the oxidation product is CO2. Consequently, the more reduced a carbon is to begin with, the more free energy is released by its oxidation. Figure 14.10 shows the ⌬G°⬘ of oxidation for onecarbon compounds. Most energy Least energy H C H O OH H H C H H H H O O C C C H H OH O Methane Methanol Formaldehyde Formic acid Carbon dioxide ΔG°ⴕoxidation (kJ mol–1) –820 –703 –523 –285 0 ΔG°ⴕoxidation (kcal mol–1) –196 –168 –125 –68 0 Figure 14.10 Free energy of oxidation of single-carbon compounds. Although fuel molecules are more complex (Figure 14.11) than the singlecarbon compounds depicted in Figure 14.10, when a fuel is oxidized, the oxidation takes place one carbon at a time. The carbon-oxidation energy is used in some cases to create a compound with high phosphoryl-transfer potential and in other cases to create an ion gradient (Section 9). In either case, the end point is the formation of ATP. CH2OH O H H OH H OH HO H OH H – O O H2 C C C H2 H2 C C H2 H2 C C H2 Glucose H2 C C H2 H2 C C H2 H2 C C H2 H2 C C H2 CH3 Fatty acid Figure 14.11 Prominent fuels. Fats are a more efficient fuel source than carbohydrates such as glucose because the carbon in fats is more reduced. Compounds with High Phosphoryl-Transfer Potential Can Couple Carbon Oxidation to ATP Synthesis O How is the energy released in the oxidation of a carbon compound converted into ATP? As an example, consider glyceraldehyde 3-phosphate (shown in the margin), which is a metabolite of glucose formed in the oxidation of that sugar. The C-1 carbon atom (shown in red) is at the aldehyde-oxidation level and is not in its most oxidized state. Oxidation of the aldehyde to an acid will release energy. O C H C O H OH C OH CH2OPO32– Glyceraldehyde 3-phosphate Oxidation H C OH CH2OPO32– 3-Phosphoglyceric acid H C C H OH CH2OPO32– Glyceraldehyde 3-phosphate (GAP) 212 14 Metabolism: Basic Concepts and Design However, the oxidation does not take place directly. Instead, the carbon oxidation generates an acyl phosphate, 1,3-bisphosphoglycerate. The electrons released are captured by NAD⫹, which we will consider shortly. O C H C O H + NAD+ + HPO42– OH H CH2OPO32– C C OPO32– + NADH + H+ OH CH2OPO32– Glyceraldehyde 3-phosphate (GAP) 1,3-Bisphosphoglycerate (1,3-BPG) For reasons similar to those discussed for ATP, 1,3-bisphosphoglycerate has a high phosphoryl-transfer potential. Thus, the cleavage of 1, 3-BPG can be coupled to the synthesis of ATP. O H C C OPO32– OH CH2OPO32– 1,3-Bisphosphoglycerate O OH C + ADP H C OH + ATP CH2OPO32– 3-Phosphoglyceric acid The energy of oxidation is initially trapped as a high-phosphoryl-transfer-potential compound and then used to form ATP. The oxidation energy of a carbon atom is transformed into phosphoryl-transfer potential—first, as 1,3-bisphosphoglycerate and, ultimately, as ATP. We will consider these reactions in mechanistic detail on page 230. 14.4 Metabolic Pathways Contain Many Recurring Motifs At first glance, metabolism appears intimidating because of the sheer number of reactants and reactions. Nevertheless, there are unifying themes that make the comprehension of this complexity more manageable. These unifying themes include common metabolites and regulatory schemes that stem from a common evolutionary heritage. Activated Carriers Exemplify the Modular Design and Economy of Metabolism We have seen that phosphoryl transfer can be used to drive otherwise thermodynamically unfavorable reactions, alter the energy or conformation of a protein, or serve as a signal to alter the activity of a protein. The phosphoryl-group donor in all of these reactions is ATP. In other words, ATP is an activated carrier of phosphoryl groups because phosphoryl transfer from ATP is an energetically favorable, or exergonic, process. The use of activated carriers is a recurring motif in biochemistry, and we will consider several such carriers here. Many such activated carriers function as coenzymes—small organic molecules that serve as cofactors for enzymes (p. 65): 1. Activated Carriers of Electrons for Fuel Oxidation. In aerobic organisms, the ultimate electron acceptor in the oxidation of fuel molecules is O2. However, electrons are not transferred directly to O2. Instead, fuel molecules transfer electrons to special carriers, which are either pyridine nucleotides or flavins. The reduced forms of these carriers then transfer their high-potential electrons to O2. In other words, these carriers have a higher affinity for electrons than do carbon fuels but a lower affinity for electrons than does O2; consequently, the electrons flow from an unstable configuration (low affinity) to a stable one (high affinity). (A) Reactive site H H O H O O P – O O (B) N+ O H C NH2 O P – O O O HO N N NH2 + H+ N R H O C NH2 + 2 H+ + 2 e+ N N H H + N OH H HO O H NH2 R NAD NADH Figure 14.12 A nicotinamide-derived electron carrier. (A) Nicotinamide adenine dinucleotide (NAD⫹) is a prominent carrier of high-energy electrons derived from the vitamin niacin (nicotinamide) shown in red. (B) NAD⫹ is reduced to NADH. OH Indeed, the tendency of these electrons to flow toward a more stable arrangement accounts for describing them as being activated. The energy that is released is converted into ATP by mechanisms to be discussed in Chapter 20. Nicotinamide adenine dinucleotide (NAD⫹), a pyridine nucleotide, is a major electron carrier in the oxidation of fuel molecules (Figure 14.12). The reactive part of NAD⫹ is its nicotinamide ring, a pyridine derivative synthesized from the vitamin niacin. In the oxidation of a substrate, the nicotinamide ring of NAD⫹ accepts a hydrogen ion and two electrons, which are equivalent to a hydride ion (H≠-). The reduced form of this carrier is called NADH. In the oxidized form, the nitrogen atom carries a positive charge, as indicated by NAD⫹. Nicotinamide adenine dinucleotide, or NAD⫹, is the electron acceptor in many reactions of the following type: OH O + NAD+ C R H + NADH + H+ C R⬘ R R⬘ This redox reaction is often referred to as a dehydrogenation because protons accompany the electrons. One proton and two electrons of the substrate are directly transferred to NAD⫹, whereas the other proton appears in the solvent as a proton. The other major electron carrier in the oxidation of fuel molecules is the coenzyme flavin adenine dinucleotide (Figure 14.13). The abbreviations for the O H Reactive sites N H3C NH N N H3C H H C H H C OH H C OH H C OH O H2C P O O O – O P O – O O N N N O HO NH2 N H OH H Figure 14.13 The structure of the oxidized form of flavin adenine dinucleotide (FAD). This electron carrier consists of vitamin riboflavin (shown in blue) and an ADP unit (shown in black). 213 214 14 Metabolism: Basic Concepts and Design oxidized and reduced forms of this carrier are FAD and FADH2, respectively. FAD is the electron acceptor in reactions of the following type: H H C R R⬘ R C H R⬘ C + FAD + FADH2 C H H H The reactive part of FAD is its isoalloxazine ring, a derivative of the vitamin riboflavin (Figure 14.14). FAD, like NAD⫹, can accept two electrons. In doing so, FAD, unlike NAD⫹, takes up two protons. These carriers of high-potential electrons as well as flavin mononucleotide (FMN), an electron carrier related to FAD, will be considered further in Chapters 19 and 20. O H H3C N H3C NH H3C N H H H N O N NH + 2 H+ + 2 e– O H3C N H R Oxidized form (FAD) R N O H Reduced form (FADH2) Figure 14.14 Structures of the reactive parts of FAD and FADH2. The electrons and protons are carried by the isoalloxazine ring component of FAD and FADH2. 2. Activated Carriers of Electrons for the Synthesis of Biomolecules. High-potential electrons are required in most biosyntheses because the precursors are more oxidized than the products. Hence, reducing power is needed in addition to ATP. This process is called reductive biosynthesis. For example, in the biosynthesis of fatty acids, the keto group of a two-carbon unit is reduced to a methylene group in several steps. This sequence of reactions requires an input of four electrons. H2 C R R⬘ C + 4 H+ + 4 H2 C e– R R⬘ C H2 + H2O O The electron donor in most reductive biosyntheses is NADPH, the reduced form of nicotinamide adenine dinucleotide phosphate (NADP⫹). NADPH differs from NADH in that the 2⬘-hydroxyl group of its adenosine moiety is esterified with phosphate (Figure 14.15). NADPH carries electrons in the same way as NADH. However, NADPH is used almost exclusively for reductive biosyntheses, whereas NADH is used primarily for the generation of ATP. The extra phosphoryl group on Reactive site H H O H O O P – O O Figure 14.15 The structure of nicotinamide adenine dinucleotide phosphate (NADP⫹). NADP⫹ provides electrons for biosynthetic purposes. Notice that the reactive site is the same in NADP⫹ and NAD⫹. N+ O H NH2 NH2 N OH H HO O P – O O O HO N N N OPO32– H Reactive group HS H N H N H –O OH O O H3C O – CH3 P O O O N N N O 2–O OH 3PO β-Mercaptoethylamine unit 14.4 Recurring Motifs O P O 215 NH2 N Figure 14.16 The structure of coenzyme A (CoA-SH). Pantothenate unit NADPH is a tag that enables enzymes to distinguish between high-potential electrons to be used in anabolism and those to be used in catabolism. 3. An Activated Carrier of Two-Carbon Fragments. Coenzyme A (also called CoA-SH), another central molecule in metabolism, is a carrier of acyl groups (Figure 14.16). A key constituent of coenzyme A is the vitamin pantothenate. Acyl groups are important constituents both in catabolism, as in the oxidation of fatty acids, and in anabolism, as in the synthesis of membrane lipids. The terminal sulfhydryl group in CoA is the reactive site. Acyl groups are linked to the sulfhydryl group of CoA by thioester bonds. The resulting derivative is called an acyl CoA. An acyl group often linked to CoA is the acetyl unit; this derivative is called acetyl CoA. The ⌬G°⬘ for the hydrolysis of acetyl CoA has a large negative value: O O CoA C R S Acyl CoA S Acetyl CoA O– O R⬘ C + R Acetyl CoA + H2O Δ acetate + CoA + H ¢G°¿ = - 31.4 kJ mol - 1( - 7.5 kcal mol - 1) C R O + R⬘ + R⬘ O O– O C R⬘ C The hydrolysis of a thioester is thermodynamically more favorable than that of an oxygen ester, such as those in fatty acids, because the electrons of the C “ O bond form less-stable resonance structures with the C ¬ S bond than with the C ¬ O bond. Consequently, acetyl CoA has a high acetyl-group-transfer potential because transfer of the acetyl group is exergonic. Acetyl CoA carries an activated acetyl group, just as ATP carries an activated phosphoryl group. CoA C H3C R R S S Oxygen esters are stabilized by resonance structures not available to thioesters. Clinical Insight Coenzyme A and Nazi Medical Practice Hallervorden–Spatz syndrome is a pathological condition characterized by neurodegeneration and iron accumulation in the brain. Specifically, a patient having this syndrome displays abnormal postures and disrupted movement (dystonia), an inability to articulate words (dysarthria), involuntary writhing movements (choreathetosis), and muscle rigidity and resting tremors (parkinsonism). All patients with classic Hallervorden–Spatz syndrome lack the enzyme pantothenate kinase. An important regulatory enzyme in the biosynthetic pathway for coenzyme A, pantothenate kinase activates the vitamin pantothenate by phosphorylating it at the expense of ATP. [FoodCollection/AgeFotostock.] Pantothenate Pantothenate is a component of coenzyme A and a cofactor required for fatty acid synthesis. The vitamin is plentiful in many of foods, with egg yolk being a rich source. A deficiency of pantothenate alone has never been documented O H N O H Pantothenate kinase OH + ATP – O OH O H3C Pantothenate CH3 H N O H P O – O OH O H3C CH3 4’-Phosphopantothenate In subsequent steps, pantothenate phosphate is converted into coenzyme A. Presumably, the symptoms of Hallervorden–Spatz are predominately neurological because the nervous system is absolutely dependent on aerobic metabolism, and coenzyme A is an essential player in the aerobic metabolism of all fuels, as we will see in Sections 8 and 9. O 2– O + ADP 216 14 Metabolism: Basic Concepts and Design Recently, the name of this disorder was changed from Hallervorden–Spatz syndrome to pantothenate kinase associated degeneration because of the malfeasance of Julius Hallervorden, who initially described the condition. Hallervorden was an enthusiastic participant in the Nazi program that encouraged physicians “to grant a mercy death to those judged incurably ill,” including those with perceived mental disorders. After people were gassed at death centers for the “feeble minded,” Hallervorden removed their brains for study and even examined some living patients prior to their being gassed. Sadly, the practice of clinical and basic research is not always immune from corruption. ■ Additional features of activated carriers are responsible for two key aspects of metabolism. First, NADH, NADPH, and FADH2 react slowly with O2 in the absence of a catalyst. Likewise, ATP and acetyl CoA are hydrolyzed slowly (in times of many hours or even days) in the absence of a catalyst. These molecules are kinetically quite stable in the face of a large thermodynamic driving force for reaction with O2 (in regard to the electron carriers) and H2O (for ATP and acetyl CoA). The kinetic stability of these molecules in the absence of specific catalysts is essential for their biological function because it enables enzymes to control the flow of free energy and reducing power. Second, most interchanges of activated groups in metabolism are accomplished by a rather small set of carriers (Table 14.2). The existence of a recurring set of activated carriers in all organisms is one of the unifying motifs of biochemistry. Table 14.2 Some activated carriers in metabolism Carrier molecule in activated form Group carried ATP NADH and NADPH FADH2 FMNH2 Coenzyme A Lipoamide Thiamine pyrophosphate Biotin Tetrahydrofolate S-Adenosylmethionine Uridine diphosphate glucose Cytidine diphosphate diacylglycerol Nucleoside triphosphates Phosphoryl Electrons Electrons Electrons Acyl Acyl Aldehyde CO2 One-carbon units Methyl Glucose Phosphatidate Nucleotides Vitamin precursor Nicotinate (niacin) Riboflavin (vitamin B2) Riboflavin (vitamin B2) Pantothenate Thiamine (vitamin B1) Biotin Folate Note: Many of the activated carriers are coenzymes that are derived from water-soluble vitamins. Many Activated Carriers Are Derived from Vitamins Almost all the activated carriers that act as coenzymes are derived from vitamins—organic molecules needed in small amounts in the diets of some higher animals. Table 14.3 lists the vitamins that act as coenzymes. The series of vitamins known as the vitamin B group is shown in Figure 14.17. Note that, in all cases, the vitamin must be modified before it can serve its function. We have already touched on the roles of niacin, riboflavin, and pantothenate. These three and the other B vitamins will appear many times in our study of biochemistry. Vitamins serve the same important roles in nearly all forms of life, but higher animals lost the capacity to synthesize them in the course of evolution. For instance, whereas E. coli can thrive on glucose and organic salts, human beings require at least 12 vitamins in their diet. The biosynthetic pathways for vitamins Table 14.3 The B vitamins Vitamin Coenzyme Typical reaction type Consequences of deficiency Thiamine (B1) Thiamine pyrophosphate Aldehyde transfer Riboflavin (B2) Flavin adenine dinucleotide (FAD) Oxidation–reduction Pyridoxine (B6) Pyridoxal phosphate Nicotinic acid (niacin) Pantothenic acid Biotin Nicotinamide adenine dinucleotide (NAD⫹) Coenzyme A Biotin–lysine adducts (biocytin) Group transfer to or from amino acids Oxidation–reduction Folic acid Tetrahydrofolate B12 5⬘-Deoxyadenosyl cobalamin Beriberi (weight loss, heart problems, neurological dysfunction) Cheliosis and angular stomatitis (lesions of the mouth), dermatitis Depression, confusion, convulsions Pellagra (dermatitis, depression, diarrhea) Hypertension Rash about the eyebrows, muscle pain, fatigue (rare) Anemia, neural-tube defects in development Anemia, pernicious anemia, methylmalonic acidosis Acyl-group transfer ATP-dependent carboxylation and carboxyl-group transfer Transfer of one-carbon components; thymine synthesis Transfer of methyl groups; intramolecular rearrangements O H N O – H OH C O H3C O CH2OH CH3 H3C N H3C N O NH N CH2 Vitamin B5 (Pantothenate) H OH H OH H OH O – O CH2OH HOH2C + + N H Vitamin B3 (Niacin) OH N H CH3 Vitamin B6 (Pyridoxine) CH2OH Vitamin B2 (Riboflavin) Figure 14.17 Structures of some of the B vitamins. can be complex; thus, it is biologically more efficient to ingest vitamins than to synthesize the enzymes required to construct them from simple molecules. This efficiency comes at the cost of dependence on other organisms for chemicals essential for life. Indeed, vitamin deficiency can generate diseases in all organisms requiring these molecules (Table 14.4; see also Table 14.3). Table 14.4 Noncoenzyme vitamins Vitamin Function Deficiency A Roles in vision, growth, reproduction Night blindness, cornea damage, damage to respiratory and gastrointestinal tracts C (ascorbic acid) Antioxidant Scurvy (swollen and bleeding gums, subdermal hemorrhaging) D Regulation of calcium and phosphate metabolism Rickets (children): skeletal deformaties, impaired growth Osteomalacia (adults): soft, bending bones E Antioxidant Inhibition of sperm production; lesions in muscles and nerves (rare) K Blood coagulation Subdermal hemorrhaging 217 HO 218 O 14 Metabolism: Basic Concepts and Design CH2OH O C H H O– HO Vitamin C (Ascorbate) O H3C CH3 CH3 CH2OH H CH3 O CH3 CH3 CH3 3 CH3 Vitamin K1 Vitamin A (Retinol) CH3 CH3 H3C HO CH3 CH3 CH3 H3C O H CH3 CH3 CH3 CH2 3 HO Vitamin E (␣-Tocopherol) Vitamin D2 (Ergocalciferol) Figure 14.18 Structures of some vitamins that do not function as coenzymes. Not all vitamins function as coenzymes. Vitamins designated by the letters A, C, D, E, and K (Figure 14.18; see also Table 14.4) have a diverse array of functions. Vitamin A (retinol) is the precursor of retinal, the light-sensitive group in rhodopsin and other visual pigments, and retinoic acid, an important signaling molecule. A deficiency of this vitamin leads to night blindness. In addition, young animals require vitamin A for growth. Vitamin C, or ascorbate, acts as an antioxidant. A deficiency in vitamin C can lead to scurvy, a disease characterized by skin lesions and blood-vessel fragility due to malformed collagen (p. 50). A metabolite of vitamin D is a hormone that regulates the metabolism of calcium and phosphorus. A deficiency in vitamin D impairs bone formation in growing animals. Infertility in rats is a consequence of vitamin E (␣-tocopherol) deficiency. This vitamin reacts with reactive oxygen species, such as hydroxyl radicals, and inactivates them before they can oxidize unsaturated membrane lipids, damaging cell structures. Vitamin K is required for normal blood clotting. 14.5 Metabolic Processes Are Regulated in Three Principal Ways As is evident, the complex network of metabolic reactions must be rigorously regulated. At the same time, metabolic control must be flexible enough to adjust metabolic activity to the constantly changing external environments of cells. Metabolism is regulated through the control of (1) the amounts of enzymes, (2) their catalytic activities, and (3) the accessibility of substrates. The Amounts of Enzymes Are Controlled The amount of a particular enzyme depends on both its rate of synthesis and its rate of degradation. The level of many enzymes is adjusted primarily by a change in the rate of transcription of the genes encoding them (Chapters 35 and 36). In E. coli, for example, the presence of lactose induces within minutes a more than 50-fold increase in the rate of synthesis of -galactosidase, an enzyme required for the breakdown of this disaccharide. 219 14.5 Regulation of Metabolism Catalytic Activity Is Regulated The catalytic activity of enzymes is controlled in several ways. Reversible allosteric control is especially important. For example, the first reaction in many biosynthetic pathways is allosterically inhibited by the ultimate product of the pathway, an example of feedback inhibition. This type of control can be almost instantaneous. Another recurring mechanism is the activation and deactivation of enzymes by reversible covalent modification. Reversible modification is often the end point of the signal-transduction cascades discussed in Chapter 12. For example, glycogen phosphorylase, the enzyme catalyzing the breakdown of glycogen, a storage form of glucose, is activated by the phosphorylation of a particular serine residue when glucose is scarce. Hormones coordinate metabolic relations between different tissues, often by regulating the reversible modification of key enzymes. For instance, the hormone epinephrine triggers a signal-transduction cascade in muscle, resulting in the phosphorylation and activation of key enzymes and leading to the rapid degradation of glycogen to glucose, which is then used to supply ATP for muscle contraction. Glucagon has the same effect in liver, but the glucose is released into the blood for other tissues to use. As described in Chapter 12, many hormones act through intracellular messengers, such as cyclic AMP and calcium ion, that coordinate the activities of many target proteins. Many reactions in metabolism are controlled by the energy status of the cell. One index of the energy status is the energy charge, which is the fraction of all of the adenine nucleotide molecules in the form of ATP plus half the fraction of adenine nucleotides in the form ADP, given that ATP contains two phosphoanhydride linkages, whereas ADP contains one. Hence, the energy charge is defined as Energy charge = [ATP] + 1冫2[ADP] [ATP] + [ADP] + [AMP] The energy charge can have a value ranging from 0 (all AMP) to 1 (all ATP). A high energy charge inhibits ATP-generating (catabolic) pathways, because the cell has sufficient levels of ATP. ATP-utilizing (anabolic) pathways, on the other hand, are stimulated by a high energy charge because ATP is available. In plots of the reaction rates of such pathways versus the energy charge, the curves are steep near an energy charge of 0.9, where they usually intersect (Figure 14.19). Evidently, the control of these pathways has evolved to maintain the energy charge within rather narrow limits. In other words, the energy charge, like the pH of a cell, is buffered. The energy charge of most cells ranges from 0.80 to 0.95. Relative rate ATP-generating pathway ATP-utilizing pathway 0 0.25 0.50 Energy charge 0.75 1 Figure 14.19 Energy charge regulates metabolism. High concentrations of ATP inhibit the relative rates of a typical ATP-generating (catabolic) pathway and stimulate the typical ATP-utilizing (anabolic) pathway. 220 14 Metabolism: Basic Concepts and Design An alternative index of the energy status is the phosphorylation potential, which is directly related to the free-energy storage available in the form of ATP. Phosphorylation potential is defined as Phosphorylation potential = [ATP] [ADP] + [Pi] The phosphorylation potential, in contrast with the energy charge, depends on the concentration of Pi. The Accessibility of Substrates Is Regulated In eukaryotes, metabolic regulation and flexibility are enhanced by compartmentalization. For example, fatty acid oxidation takes place in mitochondria, whereas fatty acid synthesis takes place in the cytoplasm. Compartmentalization segregates opposed reactions. Controlling the flux of substrates between compartments is another means of regulating metabolism. For example, in many cells, glucose breakdown can take place only if insulin is present to promote the entry of glucose into the cell. The transfer of substrates from one compartment of a cell to another also can serve as a control point, such as when fatty acids are moved from the cytoplasm to the mitochondria for oxidation. SUMMARY 14.1 Metabolism Is Composed of Many Interconnecting Reactions The process of energy transduction takes place through metabolism, a highly integrated network of chemical reactions. Metabolism can be subdivided into catabolism (reactions employed to extract energy from fuels) and anabolism (reactions that use this energy for biosynthesis). The most valuable thermodynamic concept for understanding bioenergetics is free energy. A reaction can take place spontaneously only if the change in free energy (⌬G) is negative. A thermodynamically unfavorable reaction can be driven by a thermodynamically favorable one, which is the hydrolysis of ATP in many cases. 14.2 ATP Is the Universal Currency of Free Energy The energy derived from catabolism is transformed into adenosine triphosphate. ATP hydrolysis is exergonic and the energy released can be used to power cellular processes, including motion, active transport, and biosynthesis. Under cellular conditions, the hydrolysis of ATP shifts the equilibrium of a coupled reaction by a factor of 108. ATP, the universal currency of energy in biological systems, is an energy-rich molecule because it contains two phosphoanhydride linkages. 14.3 The Oxidation of Carbon Fuels Is an Important Source of Cellular Energy ATP formation is coupled to the oxidation of carbon fuels. Electrons are removed from carbon atoms and passed to O2 in a series of oxidation–reduction reactions. Electrons flow down a stability gradient, a process that releases energy. The energy of carbon oxidation can be trapped as high-phosphoryl-transfer-potential compounds, which can then be used to power the synthesis of ATP. 14.4 Metabolic Pathways Contain Many Recurring Motifs Metabolism is characterized by common motifs. A small number of recurring activated carriers, such as ATP, NADH, and acetyl CoA, transfer activated groups in many metabolic pathways. NADPH, which carries two electrons at a high potential, provides reducing power in the biosynthesis of cell components from more-oxidized precursors. Many activated carriers are derived from vitamins, small organic molecules required in the diets of many higher organisms. 221 Problems 14.5 Metabolic Processes Are Regulated in Three Principal Ways Metabolism is regulated in a variety of ways. The amounts of some critical enzymes are controlled by regulation of the rate of synthesis and degradation. In addition, the catalytic activities of many enzymes are regulated by allosteric interactions (as in feedback inhibition) and by covalent modification. The movement of many substrates into cells and subcellular compartments also is controlled. The energy charge, which depends on the relative amounts of ATP, ADP, and AMP, plays a role in metabolic regulation. A high energy charge inhibits ATP-generating (catabolic) pathways, whereas it stimulates ATP-utilizing (anabolic) pathways. Key Terms phototroph (p. 203) chemotroph (p. 203) metabolism (p. 204) intermediary metabolism (p. 204) catabolism (p. 205) anabolism (p. 205) amphibolic pathway (p. 205) adenosine triphosphate (ATP) (p. 206) phosphoryl-transfer potential (p. 208) activated carrier (p. 212) vitamin (p. 216) energy charge (p. 219) phosphorylation potential (p. 220) Answer to QUICK QUIZ Charge repulsion is reduced when a phosphate is removed from ATP. The products of ATP hydrolysis have more resonance forms than does ATP. The products of ATP hydrolysis are more effectively stabilized by association with water than is ATP. Problems 1. Energy flow. What is the direction of each of the following reactions when the reactants are initially present in equimolar amounts? Use the data given in Table 14.1. (a) ATP ⫹ creatine Δ creatine phosphate ⫹ ADP (b) ATP ⫹ glycerol Δ glycerol 3-phosphate ⫹ ADP (c) ATP ⫹ pyruvate Δ phosphoenolpyruvate ⫹ ADP (d) ATP ⫹ glucose Δ glucose 6-phosphate ⫹ ADP 2. A proper inference. What information do the ⌬G°⬘ data given in Table 14.1 provide about the relative rates of hydrolysis of pyrophosphate and acetyl phosphate? 3. A potent donor. Consider the following reaction: ATP + pyruvate Δ phosphoenolpyruvate + ADP (a) Calculate ⌬G°⬘ and K⬘eq at 25°C for this reaction by using the data given in Table 14.1. (b) What is the equilibrium ratio of pyruvate to phosphoenolpyruvate if the ratio of ATP to ADP is 10? 4. Isomeric equilibrium. Calculate ⌬G°⬘ for the isomerization of glucose 6-phosphate to glucose 1-phosphate. What is the equilibrium ratio of glucose 6-phosphate to glucose 1-phosphate at 25°C? 222 14 Metabolism: Basic Concepts and Design 5. Activated acetate. The formation of acetyl CoA from acetate is an ATP-driven reaction: Acetate + ATP + CoA Δ acetyl CoA + AMP + PPi (a) Calculate ⌬G°⬘ for this reaction by using data given in this chapter. (b) The PPi formed in the preceding reaction is rapidly hydrolyzed in vivo because of the ubiquity of inorganic pyrophosphatase. The ⌬G°⬘ for the hydrolysis of PPi is ⫺19.2 kJ mol⫺1 (⫺4.6 kcal mol⫺1). Calculate the ⌬G°⬘ for the overall reaction, including pyrophosphate hydrolysis. What effect does the hydrolysis of PPi have on the formation of acetyl CoA? 6. Acid strength. The pKa of an acid is a measure of its proton-group-transfer potential. (a) Derive a relation between ⌬G°⬘ and pKa. (b) What is the ⌬G°⬘ for the ionization of acetic acid, which has a pKa of 4.8? 7. Raison d’être. The muscles of some invertebrates are rich in arginine phosphate (phosphoarginine). Propose a function for this amino acid derivative. H N H +H 3N H N O C P NH2+ O The ⌬G°⬘ for the reaction is ⫹23.8 kJ mol⫺1 (⫹5.7 kcal mol ⫺1 ), whereas the ⌬G in the cell is ⫺1.3 kJ mol ⫺1 (⫺0.3 kcal mol ⫺1 ). Calculate the ratio of reactants to products under equilibrium and intracellular conditions. Using your results, explain how the reaction can be endergonic under standard conditions and exergonic under intracellular conditions. 11. Standard conditions versus real life 2. On page 207, a reaction, A Δ B, with a ⌬G°⬘ ⫽ ⫹16.7 kJ mol⫺1 (⫹4.0 kcal mol⫺1) is shown to have a Keq of 1.15 ⫻ 10⫺3. The Keq is increased to 2.67 ⫻ 102 if the reaction is coupled to ATP hydrolysis under standard conditions. The ATP-generating system of cells maintains the [ATP]/[ADP][Pi] ratio at a high level, typically of the order of 500 M⫺1. Calculate the ratio of B/A under cellular conditions. 12. Not all alike. The concentrations of ATP, ADP, and Pi differ with cell type. Consequently, the release of free energy with the hydrolysis of ATP will vary with cell type. Using the following table, calculate the ⌬G for the hydrolysis of ATP in liver, muscle, and brain cells. In which cell type is the free energy of ATP hydrolysis most negative? 2– O Liver Muscle Brain ATP (mM) 3.5 8.0 2.6 ADP (mM) 1.8 0.9 0.7 Pi (mM) 5.0 8.0 2.7 COO– Arginine phosphate 8. Recurring motif. What is the structural feature common to ATP, FAD, NAD⫹, and CoA? 9. Ergogenic help or hindrance? Creatine is a popular, but untested, dietary supplement. (a) What is the biochemical rationale for the use of creatine? (b) What type of exercise would most benefit from creatine supplementation? 10. Standard conditions versus real life 1. The enzyme aldolase catalyzes the following reaction in the glycolytic pathway: Aldolase Fructose 1,6-biphosphate ERRF dihydroxyacetone phosphate + glyceraldehyde 3-phosphate 13. Running downhill. Glycolysis is a series of 10 linked reactions that convert one molecule of glucose into two molecules of pyruvate with the concomitant synthesis of two molecules of ATP (Chapter 16). The ⌬G°⬘ for this set of reactions is ⫺35.6 kJ mol⫺1 (⫺8.5 kcal mol⫺1), whereas the ⌬G is ⫺76.6 kJ mol⫺1 (⫺18.3 kcal mol⫺1). Explain why the free-energy release is so much greater under intracellular conditions than under standard conditions. Chapter Integration Problem 14. Activated sulfate. Fibrinogen, a precursor to the bloodclot protein fibrin, contains tyrosine-O-sulfate. Propose an activated form of sulfate that could react in vivo with the aromatic hydroxyl group of a tyrosine residue in a protein to form tyrosine-O-sulfate. Problems 8.6 36 8.2 34 8.0 7.8 33 7.6 32 7.4 31 30 7.2 1 2 3 4 pMg Selected readings for this chapter can be found online at www.whfreeman.com/Tymoczko 5 6 7 −ΔG (kcal mol −1) 8.4 35 −ΔG (kJ mol −1) Data Interpretation Problem 15. Opposites attract. The graph at the right shows how the ⌬G for the hydrolysis of ATP varies as a function of the Mg2⫹ concentration (pMg ⫽ ⫺log[Mg2⫹]). (a) How does decreasing [Mg2⫹] affect the ⌬G of hydrolysis for ATP? (b) Explain this effect. 223