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Furthermore, covalent modification allows cells to escape allosteric regulation by covalently locking the modified enzyme in an active or inac-tive state, regardless of effector concentrat

Trang 1

In (a), Vmaxdoubles, but K mis constant.

In (b), Vmaxhalves, but K mis constant

In (c), Vmaxis constant, but the apparent K mincreases

In (d), Vmaxdecreases, but K mis constant

In (e), Vmaxdecreases, K m decreases, but the ratio K m /Vmaxis

constant

6 a The slope is given by K m /Vmax(KSA/[A] 1)

b y-intercept  ((K m /[A]) 1)1/Vmax

c The horizontal and vertical coordinates of the point of

intersection are 1/[B] K m /KSAK m and

1/v  1/Vmax(1 (K m /KSA))

7 Top left: (1) Competitive inhibition (I competes with S for

binding to E) (2) I binds to and forms a complex with S

Top right: (1) Pure noncompetitive inhibition (2) Random,

single-displacement bisubstrate reaction, where A doesn’t affect

B binding, and vice versa (Other possibilities include [3]

Irre-versible inhibition of E by I; [4] 1/v vs 1/[S] plot at two

differ-ent concdiffer-entrations of enzyme, E.)

Bottom left: (1) Mixed noncompetitive inhibition (2) Ordered

single-displacement bisubstrate mechanism

Bottom right: (1) Uncompetitive inhibition (2)

Double-displacement (ping-pong) bisubstrate mechanism

8 Clancy must drink 694 mL of wine, or about one 750-mL bottle

9 a KS m cat 5  103sec1; d kcat/K m

1.67 108M1sec1; e Yes, because kcat/K mapproaches the

limiting value of 109M1sec1; f Vmax 105mol/mL sec;

g [S] maxwould equal 2 105mol/mL sec, but

K m

10 a Vmax 1sec1; b kcat 44,000 sec1; c kcat/K m

24.4 108M1sec1; d Yes! kcat/K mactually exceeds the

theoreti-cal limit of 109M1sec1in this problem; e The rate at which E

encounters S; the ultimate limit is the rate of diffusion of S

11 a Vmax 1sec1; b v 1sec1;

c kcat/K m 1.6  108M1sec1; d Yes

(e)

v

[S]

O

I

(d)

v

[S]

O

I

(c)

v

[S]

O

I

12 a Vmax 1sec1; b kcat 1.2  106sec1;

c kcat/K m 1  108M1sec1; d Yes! kcat/K mapproaches the theoretical limit of 109M1sec1; e The rate at which E en-counters S; the ultimate limit is the rate of diffusion of S

13 a Vmax 1sec1; b kcat 1.28  104sec1;

c kcat/K m 1.4  108M1sec1; d Yes! kcat/K mapproaches the theoretical limit of 109M1sec1

14 a Vmax 120 mmol mL1sec1; b v 104.7 mmol mL1sec1;

c kcat/K m 3.64  108M1sec1; d Yes! kcat/K mapproaches the theoretical limit of 109M1sec1

15 a Starting from Vmaxf k2[ET ] and Vmaxr k1[ET] for the maximal rates of the forward and reverse reactions

respec-tively, and the Michaelis constants K mS(k1 k2)/k1and

K mP(k1 k2)/k2for S and P, respectively,

v (Vmaxf[S]/K mS)Vmaxr[P]/K mp)/(1 [S]/K mS [P]/K mP)

b At equilibrium, v 0 and Keq [P]/[S] Vmaxf

K mP/VmaxrK mS

16 a S is the preferred substrate; its K m is smaller than the K mfor

T, so a lower [S] will give v  Vmax/2, compared with [T]

b kcat/K m defines catalytic efficiency kcat/K mfor S

2 107M1sec1; kcat/K mfor T 4  107M1sec1, so the enzyme is a more efficient catalysis with T as substrate

17 a Because the enzyme shows maximal activity at or below 40°C,

it seems more like a mammalian enzyme than a plant enzyme, which would be expected to have a broader temper-ature optimum because plants experience a broader range of temperatures

b An enzyme from a thermophilic bacterium growing at 80°C would show an activity versus temperature profile similar to this one but shifted much farther to the right

Chapter 14

1 a Nucleophilic attack by an imidazole nitrogen of His57on the OCH2O carbon of the chloromethyl group of TPCK

cova-lently inactivates chymotrypsin (See The Student Solutions Manual, Study Guide and Problems Book for structures.)

b TPCK is specific for chymotrypsin because the phenyl ring of the phenylalanine residue interacts effectively with the binding pocket of the chymotrypsin active site This positions the chloromethyl group to react with His57

c Replacement of the phenylalanine residue of TPCK with arginine or lysine produces reagents that are specific for trypsin

2 a The structures proposed by Craik et al., 1987 (Science

237:905–907) are shown here (If you look up this reference, note that the letters A and B of the figure legend for Figure

3 of this article actually refer to parts B and A, respectively Reverse either the letters in the figure or the letters in the figure legend and it will make sense.)

O

N

H

H

H H O

O

O

N H

G Ser 195

56 N

Asp102

Ser214

His57

A



Trang 2

b Asn102of the mutant enzyme can serve only as a

hydrogen-bond donor to His57 It is unable to act as a hydrogen-bond

acceptor, as aspartate does in native trypsin As a result, His57

is unable to act as a general base in transferring a proton

from Ser195 This presumably accounts for the diminished

ac-tivity of the mutant trypsin

3 a The usual explanation for the inhibitory properties of

pep-statin is that the central amino acid, pep-statine, mimics the

tetra-hedral amide hydrate transition state of a good pepsin

substrate with its unique hydroxyl group

b Pepsin and other aspartic proteases prefer to cleave peptide

chains between a pair of hydrophobic residues, whereas

HIV-1 protease preferentially cleaves a Tyr-Pro amide bond

Because pepstatin more closely fits the profile of a pepsin

substrate, we would surmise that it is a better inhibitor of

pepsin than of HIV-1 protease In fact, pepstatin is a potent

inhibitor of pepsin (KI 1 nm) but only a moderately good

inhibitor of HIV-1 protease, with a KIof about 1

4 The enzyme-catalyzed rate is given by:

5 This problem is solved best by using the equation derived in

problem 4

 e(Gu‡Ge‡)/RT

ke

ku

So

or

Similarly, for the uncatalyzed reaction:

Assuming that ⬵

Then

ke

ku e(G‡G‡ )兾RT

ke

ku e G

兾RT

e G兾RT

k  e

k  u

ku k 

ue G

u 兾RT

ke k 

e e G兾RT

ke[ES] k 

ee G兾RT[ES]

[EX‡] K ‡[ES] eG兾RT[ES]

K e G兾RT

G  RT ln K

K ‡[EX‡] [ES]

v  ke[ES] k 

e[EX‡]

O

N

N H

H H

H O

O

H

G Ser195

56 N

Asn102

Ser214

His57

B

H

H

Using this equation, we can show that the difference in activa-tion energies for the uncatalyzed and catalyzed hydrolysis reac-tions (Gu Gc) is 92 kJ/mol

6 Trypsin catalyzes the conversion of chymotrypsinogen to

-chymotrypsin, and chymotrypsin itself catalyzes the conversion

of -chymotrypsin to -chymotrypsin.

7 The mechanism suggested by Lipscomb is a general base pathway in which Glu270promotes the attack of water on the carbonyl carbon of the substrate:

8 Using the equation derived in problem 4, it is possible to

calcu-late the ratio ke/kuas 1.86 1012

9 If the concentration of free enzyme is equal to the concentra-tion of enzyme–ligand complex, the concentraconcentra-tion of ligand would be 1  1027M This corresponds to 1.67  103liters per molecule

10.G  154 kJ/mol This value is intermediate between

nonco-valent forces (H bonds are typically 10–30 kJ/mol) and cononco-valent bonds (300–400 kJ/mol)

11 Assuming that the rate of gluconeogenesis would be equal to

the slowest step in the pathway, with k 2  1020/sec, and as-suming a cellular concentration of fructose-1,6-bisphosphatase

of 0.031 (see Table 18.2), the rate of sugar synthesis would be

2 1020/sec 0.031 mM, or 6.2  1022mM/sec Assuming

a total human cell volume of 40 L, this corresponds to 2.48 

1023moles glucose/sec Assuming 30 ATP per glucose (under cellular conditions) and 50 kJ/mole of ATP hydrolyzed, we find that the rate of energy production is (2.48  1023) (30 ATP/glucose)  (30.5 kJ/mole), or 2.269  1020kJ/sec Converting to kilocalories and years, we find that the time to synthesize the needed 480 kilocalories with an uncatalyzed reac-tion would be 2.8  1015years, or roughly 200,000 times the life-time of the universe so far

12 The correct answer is c The stomach is a very acidic environ-ment, whereas the small intestine is slightly alkaline The lower part of the figure shows that enzyme X has optimal activity near

pH 2, whereas enzyme Y works best at a pH near 8

13 The correct answer is a The two enzymes have nonoverlapping

pH ranges, so it is highly unlikely that they could operate in the same place at the same time

P

O O

O

C

C O O H

N H H

NH BH

COO

O

O CHR

H

R A

O

OC O Gla270

O

A

A A

O O

O

C

C

O

O H NH

HNH COO

O

O CHRO 

H

R A A A A

O C

O

OH NH

OCHRO  A

Carboxypeptidase

PO O

OC O H Gla270

O

O OC

NH2



COO H

R A A P

Trang 3

14 The correct answer is b Only enzyme A has a temperature

range that encompasses human body temperature (37°C)

15 The correct answer is d The activities of the two enzymes

overlap between 40° and 50°C

16 The correct answer is c We have no information on the pH

be-havior of enzymes A and B, nor on the bebe-havior of X and Y as a

function of temperature The only answer that is appropriate to

the data shown is c

17 The only possible answer is b, because a “leveling off” implies

that all the enzyme is saturated with S

18 The correct answer is c In order to bring the substrate into the

transition state, an enzyme must enjoy environmental conditions

that favor catalysis There is no activity apparent for enzyme Y

below pH 5.5

Chapter 15

1 a As [P] rises, the rate of P formation shows an apparent

decline, as enzyme-catalyzed conversion of P ⎯→ S becomes

more likely

b Availability of substrates and cofactors

c Changes in [enzyme] due to enzyme synthesis and

degradation

d Covalent modification

e Allosteric regulation

f Specialized controls, such as zymogen activation, isozyme

variability, and modulator protein influences

2 Proteolytic enzymes have the potential to degrade the proteins

of the cell in which they are synthesized Synthesis of these

enzymes as zymogens is a way of delaying expression of their

ac-tivity to the appropriate time and place

3 Monod, Wyman, Changeux allosteric system:

Hanes–Woolf plot

I

O A

[S]

[S]/v

Lineweaver–Burk plot

A

1/[S]

4 Using the curves for negative cooperativity as shown in Figure 15.8 as a guide:

5 For n 2.8, Ylungs 0.98 and Ycapillaries 0.77

For n 1.0, Ylungs 0.79 and Ycapillaries 0.61

Thus, with an n of 2.8 and a P50of 26 torr, hemoglobin becomes almost fully saturated with O2in the lungs and drops to 77%

saturation in resting tissue, a change of 21% If n of 1.0 and a

P50of 26 torr, hemoglobin would become only 79% saturated with O2in the lungs and would drop to 61% in resting tissue, a change of 18% The difference in hemoglobin O2saturation

conditions between the values for n 2.8 and 1.0 (21%  18%,

or 3% saturation) seems small, but note that the potential for

O2delivery (98% saturation versus 79% saturation) is large and

becomes crucial when pO2in actively metabolizing tissue falls below 40 torr

6 More glycogen phosphorylase will be in the glycogen

phos-phorylase a (more active) form, but caffeine promotes the less

active T conformation of glycogen phosphorylase

7 Over time, stored erythrocytes will metabolize 2,3-BPG via the pathway of glycolysis If [BPG] drops, hemoglobin may bind O2

with such great affinity that it will not be released to the tissues (see Figure 15.29) The patient receiving a transfusion of [BPG]-depleted blood may actually suffocate

8 a By definition, when [Pi] K0.5, v 0.5 Vmax

b In the presence of AMP, at [Pi] K0.5, v 0.85 Vmax(from Figure 15.14c)

c In the presence of ATP, at [Pi] K0.5, v 0.12 Vmax(from Figure 15.14b)

9 If G–GTPase activity is inactivated, the interaction between G

and adenylyl cyclase will be persistent, adenylyl cyclase will be active, [cAMP] will rise, and glycogen levels will fall because

[S]

[S]

Negative cooperativity

Negative cooperativity

Negative cooperativity

Michaelis–

Menten

Michaelis–

Menten

Lineweaver–Burk

Hanes–Woolf

M-M

v

1

v

1/[S]

[S]

v

Trang 4

glycogen phosphorylase will be predominantly in the active,

phosphorylated a form.

10 An excess of a negatively cooperative allosteric inhibitor could

never completely shut down the enzyme Because the enzyme

leads to several essential products, inhibition by one product

might starve the cell for the others

11 a

-R(R/K)X(S*/T*)-b

-KRKQIAVRGL-12 Ligand binding is the basis of allosteric regulation, and allosteric

effectors are common metabolites whose concentrations reflect

prevailing cellular conditions Through reversible binding of

such ligands, enzymatic activity can be adjusted to the

momen-tary needs of the cell On the other hand, allosteric regulation is

inevitably determined by the amounts of allosteric effectors at

any moment, which can be disadvantageous Covalent

modifica-tion, like allosteric regulamodifica-tion, is also rapid and reversible,

because the converter enzymes act catalytically Furthermore,

covalent modification allows cells to escape allosteric regulation

by covalently locking the modified enzyme in an active (or

inac-tive) state, regardless of effector concentrations One

disadvan-tage is that covalent modification systems are often elaborate

cascades that require many participants

13 Sickle-cell anemia is the consequence of Hb S polymerization

through hydrophobic contacts between the side chain of Val6

and a pocket in the EF corner of -subunits Potential drugs

might target this interaction directly or indirectly For example,

a drug might compete with Val6 side chain for binding in the

EF corner Alternatively, a useful drug might alter the

conforma-tion of Hb S such that the EF corner was no longer accessible or

accommodating to the Val6 side chain Another possibility

might be to create drugs that deter the polymerization process

in other ways through alterations in the surface properties

between Hb S molecules

14 Nitric oxide is covalently attached to Cys93 Thus, the

interac-tion is not reversible binding, as in allosteric regulainterac-tion On the

other hand, the reaction of NOj with this cysteine residue is

ap-parently spontaneous, and no converter enzyme is needed to

add or remove it Thus, the regulation of covalent modification

that is afforded by converter enzyme involvement is obviated

The Hb⬊NOj interaction illustrates that nature does not always

neatly fit the definitions that we create

15 Pro: Lactate is a metabolic indicator of the need for oxygen; it

binds to Mb at a distinct site (the allosteric site?) and it lowers

Mb’s affinity for O2

Con: Mb is a monomeric protein Traditionally, allosteric

phe-nomena have been considered the realm of oligomeric proteins

How then is Mb “allosteric”? Since a ligand-induced conforma-tional change in a monomeric proteins can affect binding of

“substrate” (i.e., O2), the definition of allostery may need to be broadened

16

The wedge-shaped protein monomers (red) assemble into trimers, but the alternative conformation for the monomer (square, green) forms tetramers The substrate or allosteric reg-ulator (yellow) binds only to the square conformation, and its binding prevents the square from adopting the wedge confor-mation Thus, if S or the allosteric regulator is present, equilib-rium favors a greater population of square tetramers among the morpheein ensemble at the expense of round trimers

17

18 Negative cooperativity in NADbinding to glyceraldehyde-3-P dehydrogenase:

0.2 0.4

0.6

Vmax v

0.8 1.0

3

Glutamine ATP or CTP

K0.5

[S]

S

S

Where affinity for NADH is

NAD

NAD

NAD Induced

conformation change

Trang 5

19 Hyperventilation results in decreased blood pCO2, which in turn

leads to an increase in pH Thus, the affinity of Hb for O2

in-creases (less O2will be released to tissues) Hypoventilation has

exactly the opposite effects on pCO2and pH; thus,

hypoventila-tion leads to a diminished affinity of Hb for O2(more O2will be

released to the tissues)

20 When hormone disappears, the hormone⬊receptor complex

dis-sociates, the GTPase activity of the Gsubunit cleaves bound

GTP to GDP  Pi, and the affinity of G–GDP for adenylyl

cyclase is low, so it dissociates and adenylyl cyclase is no longer

activated Residual cAMP will be converted to 5-AMP by

phos-phodiesterase, and the catalytic subunits of protein kinase A will

be bound again by the regulatory subunits, whose cAMP ligands

have dissociated When protein kinase A becomes inactive,

phos-phorylase kinase will revert to the unphosphorylated, inactive

form through loss of phosphoryl groups Phophoprotein

phos-phatase 1 will act on glycogen phosphorylase a, removing the

phosphoryl group from Ser14and thereby converting glycogen

phosphorylase to the less active, allosterically regulated b form.

Chapter 16

1 The pronghorn antelope is truly a remarkable animal, with

nu-merous specially evolved anatomical and molecular features

These include a large windpipe (to draw in more oxygen and

exhale more carbon dioxide), lungs that are three times the size

of those of comparable animals (such as goats), and lung alveoli

with five times the surface area so that oxygen can diffuse more

rapidly into the capillaries The blood contains larger numbers

of red blood cells and thus more hemoglobin The skeletal and

heart muscles are likewise adapted for speed and endurance

The heart is three times the size of that of comparable animals

and pumps a proportionally larger volume of blood per

contrac-tion Significantly, the muscles contain much larger numbers of

energy-producing mitochondria, and the muscle fibers

them-selves are shorter and thus designed for faster contractions All

these characteristics enable the pronghorn antelope to run at a

speed nearly twice the top speed of a thoroughbred racehorse

and to sustain such speed for up to 1 hour

2 Refer to Figure 16.9 The step in which the myosin head

confor-mation change occurs, is the step that should be blocked by

,-methylene-ATP, because hydrolysis of ATP should occur in

this step and ,-methylene-ATP is nonhydrolyzable

3 Phosphocreatine is synthesized from creatine (via creatine

kinase) primarily in muscle mitochondria (where ATP is readily

generated) and then transported to the sarcoplasm, where it

can act as an ATP buffer The creatine kinase reaction in the

sar-coplasm yields the product creatine, which is transported back

into the mitochondria to complete the cycle Like many

mito-chondrial proteins, the expression of mitomito-chondrial creatine

kinase is directed by mitochondrial DNA, whereas sarcoplasmic

creatine kinase is derived from information encoded in nuclear

DNA

4 Note in step 3 of Figure 16.9 that it is ATP that stimulates

disso-ciation of myosin heads from the actin filaments—the

dissocia-tion of the cross-bridge complex When ATP levels decline (as

happens rapidly after death), large numbers of myosin heads

are unable to dissociate from actin and the muscle becomes stiff

and unable to relax

5 The skeletal muscles of the average adult male have a

cross-sectional area of approximately 35,000 cm2 The gluteus

maximus muscles represent approximately 300 cm2of this total

Assuming 4 kg of maximal tension per square centimeter of

cross-sectional area, one calculates a total tension for the gluteus maximus of 1200 kg (as stated in the problem) The same calcu-lation shows that the total tension that could be developed by all the muscles in the body is 140,000 kg (or 154 tons)!

6 Taking 55,000 g/mol divided by 6.02 1023/mol and by 1.3 g/mL, one obtains a volume of 7.03 1020mL Assume a sphere and use the volume of a sphere (V (4/3) r3) to obtain a radius of 25.6 Å The diameter of the tubulin dimer (see Figure 16.12) is 8 nm, or 80 Å, and two times the radius we calculated here is approximately 51 Å, a reasonable value by comparison

7 A liver cell is 20,000 nm long, which would correspond to 5000 tubulin monomers if using the value of Figure 16.12, and about

7800 tubulin monomers using the value of 25.6 Å calculated in problem 6

8 4 inches (length of the giant axon) 10.16 cm Movement at

2 to 5 traverse this distance

9 14 nm is 140 Å, which would be approximately 93 residues of a coiled coil

10 Using Equation 9.1, one can calculate a G of 17,100 J/mol for

this calcium gradient

11 Using Equation 3.13, one can calculate a cellular G of

48,600 J/mol for ATP hydrolysis

12 17,100 J are required to transport 1 mole of calcium ions Two moles of calcium would require 34,200 J, and three would cost 51,300 J Thus, the gradient of problem 10 would provide enough energy to drive the transport of two calcium ions per ATP hydrolyzed

13 Energy (or work)  force  distance If 1 ATP is hydrolyzed per step and the cellular value of G° for ATP hydrolysis is

50 kJ/mol, then the calculation of force exerted by a motor is force 50 kJ/mol/(step size) The SI unit of force is the newton, and 1 newton  meter  1 J

For the kinesin-1 motor, 50 kJ/mol/(8  109m) 6.25 

1012newtons

For the myosin-V motor, 50 kJ/mol/(36  109m) 1.39 

1012newtons

For the dynein motor, 50 kJ/mol/(28  109m) 1.78 

1012newtons

14 Perhaps the simplest way to view this problem is to consider the potential energy change for lifting a 10-kg weight 0.4 m

E mgh  (10 kg)(9.8 m/sec2)(0.4 m)  39.2 J Now, if

1 ATP is expended per myosin step along an actin filament, 39.2 J/(50 kJ/mol)  7.8  104mol

Then, (7.8  104mol)(6.02  1023) 4.72  1020molecules

of ATP expended, one per step So there must be 4.72  1020

myosin steps along actin However, the stepping process is almost certainly not 100% efficient As shown in the box on page 489, a step size of 11 nm against a force of 4 pN would cor-respond to an energy expended per myosin per step of 4.4 

1020J With this assumed energy expended per step, we can calculate 39 J/(4.4  1020J) 8.86  1020steps total

If we take the step size value for skeletal myosin from the box

on page 489 as 11 nm, one myosin head would have to take 0.4 m/11  109m or 3.64  107steps to raise the weight a dis-tance of 0.4 m Taking (8.86  1020steps total)/(3.64  107

steps per myosin)  2.43  1013myosin heads involved per 11-nm step

Trang 6

15 All these are smooth muscle except for the diaphragm (See

http://chanteur.net/contribu/index.htm#http://chanteur.net/contribu/

cJMdiaph.htm for an explanation of the common misconception

that the diaphragm is smooth muscle.)

16 1, a; 2, e; 3, d; 4, c; 5, b

17 This exercise is left to the student and will presumably be

differ-ent for every studdiffer-ent

18 The 80 Å step of the kinesin motor is a 0.008

10.16 cm would require 12.7 million steps

19 The correct answer is d, although each answer is reasonable

ATP is needed for several processes involved in muscle

relax-ation Salt imbalances can also prevent normal muscle function,

and interrupted blood flow could prevent efficient delivery of

oxygen needed for ATP production during cellular respiration

20 The correct answer is a Understanding the inheritance pattern

of sex-linked traits is essential Males always inherit sex-linked

traits (on the X chromosome) from their mothers In addition,

sex-linked traits are much more commonly expressed in males

because they have only one X chromosome

Chapter 17

1 6.5 1012(6.5 trillion) people

2 Consult Table 17.2

3 O2, H2O, and CO2

4 See Section 17.2

5 Consult Figure 17.8

6 Consult Corresponding Pathways of Catabolism and Anabolism Differ

in Important Ways, p 520 See also Figure 17.8.

7 See The ATP Cycle, p 521; NAD  Collects Electrons Released in

Ca-tabolism, p 522; and NADPH Provides the Reducing Power for

Ana-bolic Processes, p 523.

8 In terms of quickness of response, the order is allosteric

regula-tion covalent modification enzyme synthesis and

degrada-tion See The Student Solutions Manual, Study Guide and Problems

Book for further discussions.

9 See Metabolic Pathways Are Compartmentalized within Cells, p 527,

and discussions in The Student Solutions Manual, Study Guide and

Problems Book.

10 Many answers are possible here Some examples: Large numbers

of metabolites in tissues and fluids; great diversity of structure of

biomolecules; need for analytical methods that can detect and

distinguish many different metabolites, often at very low

concen-trations; need to understand relationships between certain

metabolites; time and cost required to analyze and quantitate

many metabolites in a tissue or fluid

11 Mass spectrometry provides great sensitivity for detection of

metabolites NMR offers a variety of methods for resolving and

discriminating metabolites in complex mixtures Other

compar-isons and contrasts are discussed in the references at the end of

the chapter

12 See Figure 13.23; The Coenzymes of the Pyruvate

Dehydroge-nase Complex, page 568, and the Activation of Vitamin B12,

page 712

13 The genome is the entire hereditary information in an organism,

as encoded in its DNA or (for some viruses) RNA The

transcrip-tome is the set of all messenger RNA molecules (transcripts)

pro-duced in one cell or a population of cells under a defined set of

conditions The proteome is the entire complement of proteins produced by a genome, cell, tissue, or organism under a defined set of conditions The metabolome is the complete set of low molecular weight metabolites present in an organism or excreted

by it under a given set of physiological conditions

14 A mechanism for liver alcohol dehydrogenase:

15 TCA cycle: in mitochondria; converts acetate units to CO2plus NADH and FADH2

Glycolysis: in cytosol; converts glucose to pyruvate

Oxidative phosphorylation: in mitochondria; uses electrons (from NADH and FADH2) to produce ATP

Fatty acid synthesis: in cytosol; uses acetate units to synthesize fatty acids

16 Most discussions of ocean sequestration of CO2are devoted to capture of CO2by phytoplankton or injection of CO2deep in the ocean However, the box on page 512 offers another possibility—carbon sequestration in the shells of corals, mol-lusks, and crustaceans This approach may be feasible However, there are indications that these classes of sea organisms are already suffering from global warming and from pollution of ocean water

17 32P and 35S both decay via beta particle emission A beta particle

is merely an electron emitted by a neutron in the nucleus Thus, beta decay does not affect the atomic mass, but it does convert a neutron to a proton Thus, beta emission changes 32P to 32S and converts35S to 35Cl:

32P⎯⎯→ 32S, t1/2 14.3 days

35S⎯⎯→ 35Cl, t1/2 87.1 days

The decay equation is a first-order decay equation:

A/A0 e 0.693/t y2

Thus, after 100 days of decay, the fraction of 32P remaining would be 0.786% and the fraction of 35S remaining would

be 45%

18 The correct answer is b Obligate anaerobes can survive only in the absence of oxygen

19 The correct answer is a Fiber provides little or no nutrition The foods containing fiber, however, have other nutritional sub-stances that we are able to digest and absorb

Chapter 18

1 a Phosphoglucoisomerase, fructose bisphosphate aldolase, triose phosphate isomerase, glyceraldehyde-3-P dehydroge-nase, phosphoglycerate mutase, and enolase

b Hexokinase/glucokinase, phosphofructokinase, phospho-glycerate kinase, pyruvate kinase, and lactate dehydrogenase

c Hexokinase and phosphofructokinase

d Phosphoglycerate kinase and pyruvate kinase

P

C O

O O OC H H

H O

NH2

H A A

A

A

A

A A

B

N

C

O H H

NH2

A A

A A

A N

Trang 7

e According to Equation 3.13, reactions in which the number

of reactant molecules differs from the number of product

molecules exhibit a strong dependence on concentration

That is, such reactions are extremely sensitive to changes

in concentration Using this criterion, we can predict from

Table 19.1 that the free energy changes of the fructose

bis-phosphate aldolase and glyceraldehyde-3-P dehydrogenase

reactions will be strongly influenced by changes in

concentration

f Reactions that occur with G near zero operate at or near

equilibrium See Table 18.1 and Figure 18.22

2 The carboxyl carbon of pyruvate derives from carbons 3 and

4 of glucose The keto carbon of pyruvate derives from carbons

2 and 5 of glucose The methyl carbon of pyruvate is obtained

from carbons 1 and 6 of glucose

3 Increased [ATP], [citrate], or [glucose-6-phosphate] inhibits

glycolysis Increased [AMP], [fructose-1,6-bisphosphate], or

[fructose-2,6-bisphosphate] stimulates glycolysis

4 See The Student Solutions Manual, Study Guide and Problems Book

for discussion

5 The mechanisms for fructose bisphosphate aldolase and

glyceraldehyde-3-P dehydrogenase are shown in Figures 18.12

and 18.13, respectively

6 The relevant reactions of galactose metabolism are shown in

Figure 18.24 See The Student Solutions Manual, Study Guide and

Problems Book for mechanisms.

7 Iodoacetic acid would be expected to alkylate the reactive

active-site cysteine that is vital to the glyceraldehyde-3-P dehydrogenase

reaction This alkylation would irreversibly inactivate the

enzyme

8 Ignoring the possibility that 32P might be incorporated into ATP,

the only reaction of glycolysis that utilizes Piis

glyceraldehyde-3-P dehydrogenase, which converts glyceraldehyde-glyceraldehyde-3-P to

1,3-bisphosphoglycerate.32Piwould label the phosphate at

carbon 1 of 1,3-bisphosphoglycerate The label will be lost in

the next reaction, and no other glycolytic intermediates will be

directly labeled (Once the label is incorporated into ATP, it

will also show up in glucose-6-P, fructose-6-P, and fructose-1,

6-bisphosphate.)

9 The sucrose phosphorylase reaction leads to glucose-6-P without

the need for the hexokinase reaction Direct production offers

the obvious advantage of saving a molecule of ATP

10 All of the kinases involved in glycolysis, as well as enolase, are

activated by Mg2ion A Mg2deficiency could lead to reduced

activity for some or all of these enzymes However, other

sys-temic effects of a Mg2deficiency might cause even more

serious problems

11 a 7.5

b 0.0266 mM.

12 1.08 kJ/mol

13 a 13.8 kJ/mol

b Keq 194,850

c [Pyr]/[PEP] 24,356

14 a 13.8 kJ/mol

b Keq 211

c [FBP]/[F-6-P] 528

15 a 19.1 kJ/mol

b Keq 1651

c [ATP]/[ADP] 13.8

16 G°  33.9 kJ/mol.

17 An 8% increase in [ATP] changes the [AMP] concentration to 20

18

Formation of Schiff base intermediate

Borohydride reduction

of Schiff base intermediate

Stable (trapped) E–S derivative

Degradation of enzyme (acid hydrolysis)

N6-dihydroxypropyl-L-lysine

PO3–

PO3– –

PO3–

CH2

CH2

O

B

Lys

Lys

OH

CH2

CH2

O

H H

H H

H

OH +

+

Lys

CH2

CH2

H

O H OH

Lys

CH2

CH2

H

H OH

OH

H2N

Trang 8

20 Pyruvate kinase deficiency primarily affects red blood cells,

which lack mitochondria and can produce ATP only via

glycoly-sis Absence of pyruvate kinase reduces the production of ATP

by glycolysis in red cells, which in turn reduces the activity of the

Na,K-ATPase (see Chapter 9) This results in alterations of

elec-trolyte (Naand K) concentrations, which leads to cellular

dis-tortion, rigidity, and dehydration Compromised red blood cells

are destroyed by the spleen and liver

21 The best answer is d PFK is more active at low ATP than at high

ATP, and F-2,6-bisP activates the enzyme

22 Hexokinase is inhibited by high concentrations of glucose-6-P,

so glycolysis would probably stop at such a high level of

glucose-6-P Also, the increased concentration of glucose-6-P would

change the cellular G of the hexokinase reaction to

approxi-mately22,000 J/mol

Chapter 19

1 Glutamate enters the TCA cycle via a transamination to form

-ketoglutarate The -carbon of glutamate entering the cycle is

equivalent to the methyl carbon of an entering acetate Thus,

no radioactivity from such a label would be lost in the first or

second cycle, but in each subsequent cycle, 50% of the total

label would be lost (see Figure 19.15)

2 NADactivates pyruvate dehydrogenase and isocitrate

dehydro-genase and thus would increase TCA cycle activity If NAD

increases at the expense of NADH, the resulting decrease in

NADH would likewise activate the cycle by stimulating citrate

synthase and -ketoglutarate dehydrogenase ATP inhibits

pyru-vate dehydrogenase, citrate synthase, and isocitrate

dehydroge-nase; reducing the ATP concentration would thus activate the

cycle Isocitrate is not a regulator of the cycle, but increasing its

concentration would mimic an increase in acetate flux through

the cycle and increase overall cycle activity

3 For most enzymes that are regulated by phosphorylation, the

co-valent binding of a phosphate group at a distant site induces a

conformation change at the active site that either activates or

in-hibits the enzyme activity On the other hand, X-ray

crystallo-graphic studies reveal that the phosphorylated and

unphosphorylated forms of isocitrate dehydrogenase share

iden-tical structures with only small (and probably insignificant)

con-formation changes at Ser113, the locus of phosphorylation What

phosphorylation does do is block isocitrate binding (with no

effect on the binding affinity of NADP) As shown in Figure 2

of the paper cited in the problem (Barford, D., 1991 Molecular

mechanisms for the control of enzymic activity by protein

phos-phorylation Biochimica et Biophysica Acta 1133:55–62), the

-carboxyl group of bound isocitrate forms a hydrogen bond

with the hydroxyl group of Ser113 Phosphorylation apparently

prevents isocitrate binding by a combination of a loss of the

crucial H bond between substrate and enzyme and by repulsive

electrostatic and steric effects

4 A mechanism for the first step of the -ketoglutarate

dehydroge-nase reaction:

5 Aconitase is inhibited by fluorocitrate, the product of citrate syn-thase action on fluoroacetate In a tissue where inhibition has occurred, all TCA cycle metabolites should be reduced in con-centration Fluorocitrate would replace citrate, and the concen-trations of isocitrate and all subsequent metabolites would be reduced because of aconitase inhibition

6 FADH2is colorless, but FAD is yellow, with a maximal ab-sorbance at 450 nm Succinate dehydrogenase could be conve-niently assayed by measuring the decrease in absorbance in a solution of the flavoenzyme and succinate

7 The central (C-3) carbon of citrate is reduced, and an adjacent carbon is oxidized in the aconitase reaction The carbon bearing the hydroxyl group is obviously oxidized by isocitrate dehydrogenase In the -ketoglutarate dehydrogenase reaction, the departing carbon atom and the carbon adjacent to it are both oxidized Both of the OCH2O carbons of succinate are oxidized in the succinate dehydrogenase reaction Of these four molecules, all but citrate undergo a net oxidation in the TCA cycle

8 Several TCA metabolite analogs are known, including malonate,

an analog of succinate, and 3-nitro-2-S-hydroxypropionate, the anion of which is a transition-state analog for the fumarase reaction

OH

A COO

A

CH2 COO

O

C

H

H

H E

[

H

OOC

H

 B

OH

A C

E (ð E

H

OOC

O B O

H

O

N

Malonate (succinate analog)

3-Nitro-2-S-hydroxypropionate

Transition-state analog for fumarase

S

N

S

S

N

O

P

CH2 COO

C OH

TPP

A

O A

A

O

CH2



A

O P

CH2 COO

A

CH2

COO



A O

CH2 COO

CH2

N

N

HB

A

A O

CH2 COO

C OH

CH2

H H

O

B H

H

-KG

Covalent TPP intermediate

þ

k1 k–1

k–2

k2

E-UMP • Glc-1-P

Glc-1-P

k3 k–3

E-UMP

Gal-1-P

k4 k–4

E-UMP • Gal-1-P

k–5

k5

E-UDPGal UDPGal

k6 k–6

Trang 9

9 A mechanism for pyruvate decarboxylase:

12.14C incorporated in a reversed TCA cycle would label the two carboxyl carbons of oxaloacetate in the first pass through the cycle One of these would be eliminated in its second pass through the cycle The other would persist for more than two cycles and would be eliminated slowly as methyl carbons in acetyl-CoA in the reversed citrate synthase reaction

13 The labeling pattern would be the same as if methyl-labeled acetyl-CoA was fed to the conventional TCA cycle (see Figure 19.15)

C

CH3

COO–

O S

N R"

R

R'

B +

S N R"

R

R'

S N R"

R

R' + C

CH3

CO2

C OH

S N R"

R

R' + C

CH3 OH

S N R"

R

R'

C

CH3

OH

Resonance-stabilized carbanion on substrate

H+

S N R"

R

R' + C

CH3

H

Hydroxyethyl-TPP

S N R"

R

R' + –

O

E

E

H

Acetaldehyde

Pyruvate

– –

10 [isocitrate]/[citrate] 0.1 When [isocitrate]  0.03 mM,

[citrate] 0.3 mM.

11.14CO2incorporation into TCA via the pyruvate carboxylase

reac-tion would label the OCH2OCOOH carboxyl carbon in

oxalo-acetate When this entered the TCA cycle, the labeled carbon

would survive only to the -ketoglutarate dehydrogenase

reac-tion, where it would be eliminated as 14CO2

14

Acetyl-CoA

C

H2C

H

SCoA O

O COO–

Malate

C

O HC

O COO–

C

CoASH

O

OH

H2C

H2O

COO–

Trang 10

Pyruvate

Cytosol

Malate

Oxaloacetate

Acetyl-CoA +

Citrate

ATP–Citrate lyase

Mitochondrial membrane

Malate

Oxaloacetate

Citrate

Acetyl-CoA +

Citrate synthase

Malate dehydrogenase

Malate dehydrogenase

Pyruvate

Mitochondrion

ATP

NADH

NADPH

NADH

NADP+

NAD+ NAD+

CoA

ADP Pi

CoA

CO 2

H2O

16 For the malate dehydrogenase reaction,

Malate NAD34 oxaloacetate  NADH  H

with the value of G° being 30 kJ/mol Then

G°  RT ln Keq

 ln (x/4.4  103)

12.1  ln (x/4.4  103)

x  RT ln Keq

x

Using the dimensions given in the problem, one can calculate

a mitochondrial volume of 1.57  1015L (0.024  106M)

(1.57 1015L)(6.02  1023molecules/mole) 14.4, or about

14 molecules of OAA in a mitochondrion (“pOAA”  7.62)

17 This exercise is left to the student Review of the calculation of

oxidation numbers should be a prerequisite for answering this

problem

18 This exercise is left to the student

19 2R, 3R -fluorocitrate is converted by aconitase to

2-fluoro-cis-aconitate This intermediate then rotates 180 degrees in the

active site Addition of hydroxide at the C4 position is followed

by double bond migration from C3-C4 to C2-C3, to form

4-hydroxy-trans-aconitate This product remains tightly bound

at the aconitase active site, inactivating the enzyme Studies by

Trauble et al have shown that the inhibitory product can be

dis-placed by a 106-fold excess of isocitrate

30,000 J/mol

2478 J/mol

[1]x

[20][2.2 104]

20 Only eight ATPs would be generated in the succinyl-CoA synthe-tase (and nucleoside diphosphate kinase) reaction of the TCA cycle itself

21 d is false Succinyl-CoA is an inhibitor of citrate synthase

Chapter 20

1 The cytochrome couple is the acceptor, and the donor is the (bound) FAD/FADH2couple, because the cytochrome couple has a higher (more positive) reduction potential

Ᏹo0.254 V0.02 V*

*This is a typical value for enzyme-bound [FAD]

G nᏲᏱo  43.4 kJ/mol.

2.Ᏹo  0.03 V; G 5790 J/mol.

3 This situation is analogous to that described in Section 3.3 The net result of the reduction of NADis that a proton is con-sumed The effect on the calculation of free energy change is similar to that described in Equation 3.26 Adding an appropri-ate term to Equation 20.12 yields:

Ᏹ  Ᏹo  RT ln [H] (RT/nᏲ ln ([ox]/[red])

4 Cyanide acts primarily via binding to cytochrome a3, and the

amount of cytochrome a3in the body is much lower than the amount of hemoglobin Nitrite anion is an effective antidote for cyanide poisoning because of its unique ability to oxidize ferro-hemoglobin to ferriferro-hemoglobin, a form of ferro-hemoglobin that

competes very effectively with cytochrome a3for cyanide The amount of ferrohemoglobin needed to neutralize an otherwise

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