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Lehninger Principles of Biochemistry

David L. Nelson, Michael M. Cox

Chapter 5

Protein Function - all with Video Answers

Educators


Chapter Questions

01:08

Problem 1

Protein A has a binding site for ligand $\mathrm{X}$ with a $K_{\mathrm{d}}$ of $10^{-6} \mathrm{M}$. Protein $\mathrm{B}$ has a binding site for ligand $\mathrm{X}$ with a $K_{\mathrm{d}}$ of $10^{-9}$ M. Which protein has a higher affinity for ligand $X ?$ Explain your reasoning. Convert the $K_{\mathrm{d}}$ to $K_{\mathrm{a}}$ for both proteins.

Kratika Bhadauria
Kratika Bhadauria
Numerade Educator
08:56

Problem 2

Which of the following situations would produce a Hill plot with $n_{\mathrm{H}}<1.0 ?$ Explain your reasoning in each case.
(a) The protein has multiple subunits, each with a single ligand-binding site. Binding of ligand to one site decreases the binding affinity of other sites for the ligand.
(b) The protein is a single polypeptide with two ligand-binding sites, each having a different affinity for the ligand.
(c) The protein is a single polypeptide with a single ligand-binding site. As purified, the protein preparation is heterogeneous, containing some protein molecules that are partially denatured and thus have a lower binding affinity for the ligand.

Cadan Holden
Cadan Holden
Numerade Educator
10:46

Problem 3

What is the effect of the following changes on the $\mathrm{O}_{2}$ affinity of hemoglobin?
(a) A drop in the pH of blood plasma from 7.4 to 7.2. (b) A decrease in the partial pressure of $\mathrm{CO}_{2}$ in the lungs from $6 \mathrm{kPa}$ (holding one's breath) to 2 $\mathrm{kPa}(\text { normal breathing }) .(\mathrm{c})$ An increase in the $\mathrm{BPG}$ level from $5 \mathrm{mM}$ (normal altitudes) to 8 $\mathrm{mM}$ (high altitudes) (d) An increase in CO from 1.0 part per million (ppm) in a normal indoor atmosphere to $30 \mathrm{ppm}$ in a home that has a malfunctioning or leaking furnace.

Cadan Holden
Cadan Holden
Numerade Educator
01:39

Problem 4

The protein calcineurin binds to the protein calmodulin with an association rate of $8.9 \times 10^{3} \mathrm{M}^{-1} \mathrm{s}^{-1}$ and an overall dissociation constant, $K_{\mathrm{d}},$ of 10 nM. Calculate the dissociation rate, $k_{\mathrm{d}}$, including appropriate units.

Prashant Bana
Prashant Bana
Numerade Educator
10:20

Problem 5

A binding protein binds to a ligand $L$ with a $K_{\mathrm{d}}$ of 400 nM. How much ligand is present when $Y$ is (a) $0.25,(\mathrm{b}) 0.6,(\mathrm{c}) 0.95 ?$

Cadan Holden
Cadan Holden
Numerade Educator
01:27

Problem 6

Three membrane receptor proteins bind tightly to a hormone. Based on the data in the table below, (a) what is the $K_{\mathrm{d}}$ for hormone binding by protein $2 ?$ (Include appropriate units.) (b) Which of these proteins binds most tightly to this hormone?

David Collins
David Collins
Numerade Educator
07:48

Problem 7

Under appropriate conditions, hemoglobin dissociates into its four subunits. The isolated $\alpha$ subunit binds oxygen, but the $\mathrm{O}_{2}$ -saturation curve is hyperbolic rather than sigmoid. In addition, the binding of oxygen to the isolated $\alpha$ subunit is not affected by the presence of $\mathrm{H}^{+}, \mathrm{CO}_{2},$ or $\mathrm{BPG}$. What do these observations indicate about the source of the cooperativity in hemoglobin?

Cadan Holden
Cadan Holden
Numerade Educator
05:27

Problem 8

Studies of oxygen transport in pregnant mammals show that the O $_{2}$ -saturation curves of fetal and maternal blood are markedly different when measured under the same conditions. Fetal erythrocytes contain a structural variant of hemoglobin, HbF, consisting of two $\alpha$ and two $\gamma$ subunits $\left(\alpha_{2} \gamma_{2}\right)$ whereas maternal erythrocytes contain HbA $\left(\alpha_{2} \beta_{2}\right)$
(a) Which hemoglobin has a higher affinity for oxygen under physiological conditions, HbA or HbF? Explain.
(b) What is the physiological significance of the different $\mathrm{O}_{2}$ affinities?
(c) When all the BPG is carefully removed from samples of HbA and HbF, the measured O $_{2}$ -saturation curves (and consequently the $\mathrm{O}_{2}$ affinities) are displaced to the left. However, HbA now has a greater affinity for oxygen than does HbF. When BPG is reintroduced, the $\mathrm{O}_{2}$ -saturation curves return to normal, as shown in the graph. What is the effect of $\mathrm{BPG}$ on the $\mathrm{O}_{2}$ affinity of hemoglobin? How can the above information be used to explain the different $\mathrm{O}_{2}$ affinities of fetal and maternal hemoglobin?

Cadan Holden
Cadan Holden
Numerade Educator
07:02

Problem 9

There are almost 500 naturally occurring variants of hemoglobin. Most are the result of a single amino acid substitution in a globin polypeptide chain. Some variants produce clinical illness, though not all variants have deleterious effects. A brief sample follows.
HbS (sickle cell Hb): substitutes a Val for a Glu on the surface
Hb Cowtown: eliminates an ion pair involved in T-state stabilization
Hb Memphis: substitutes one uncharged polar residue for another of similar size on the surface
Hb Bibba: substitutes a Pro for a Leu involved in an $a$ helix
Hb Milwaukee: substitutes a Glu for a Val
Hb Providence: substitutes an Asn for a Lys that normally projects into the central cavity of the tetramer
Hb Philly: substitutes a Phe for a Tyr, disrupting hydrogen bonding at the $\alpha_{1} \beta_{1}$ interface
Explain your choices for each of the following:
(a) The Hb variant least likely to cause pathological symptoms.
(b) The variant(s) most likely to show pI values different from that of HbA on an isoelectric focusing gel.
(c) The variant(s) most likely to show a decrease in BPG binding and an increase in the overall affinity of the hemoglobin for oxygen.

Prashant Bana
Prashant Bana
Numerade Educator
04:45

Problem 10

A team of biochemists uses genetic engineering to modify the interface region between hemoglobin subunits. The resulting hemoglobin variants exist in solution primarily as $a \beta$ dimers (few, if any, $a_{2} \beta_{2}$ tetramers form $) .$ Are these variants likely to bind oxygen more weakly or more tightly? Explain your answer.

Cadan Holden
Cadan Holden
Numerade Educator
08:39

Problem 11

An antibody binds to an antigen with a $K_{\mathrm{d}}$ of $5 \times 10^{-8}$ M. At what concentration of antigen will $Y$ be (a) $0.2,(\mathrm{b}) 0.5,(\mathrm{c}) 0.6,(\mathrm{d})$ $0.8 ?$

Cadan Holden
Cadan Holden
Numerade Educator
01:17

Problem 12

A monoclonal antibody binds to G-actin but not to F-actin. What does this tell you about the epitope recognized by the antibody?

David Collins
David Collins
Numerade Educator
02:57

Problem 13

A host organism needs time, often days, to mount an immune response against a new antigen, but memory cells permit a rapid response to pathogens previously encountered. A vaccine to protect against a particular viral infection often consists of weakened or killed virus or isolated proteins from a viral protein coat. When injected into a person, the vaccine generally does not cause an infection and illness, but it effectively "teaches" the immune system what the viral particles look like, stimulating the production of memory cells. On subsequent infection, these cells can bind to the virus and trigger a rapid immune response. Some pathogens, including HIV, have developed mechanisms to evade the immune system, making it difficult or impossible to develop effective vaccines against them. What strategy could a pathogen use to evade the immune system? Assume that a host's antibodies and/or T-cell receptors are available to bind to any structure that might appear on the surface of a pathogen and that, once bound, the pathogen is destroyed.

Cadan Holden
Cadan Holden
Numerade Educator
03:54

Problem 14

When a vertebrate dies, its muscles stiffen as they are deprived of ATP, a state called rigor mortis. Using your knowledge of the catalytic cycle of myosin in muscle contraction, explain the molecular basis of the rigor state.

Bryan Valdivia
Bryan Valdivia
Numerade Educator
04:34

Problem 15

The symmetry of thick and thin filaments in a sarcomere is such that six thin filaments ordinarily surround each thick filament in a hexagonal array. Draw a cross section (transverse cut) of a myofibril at the following points:
(a) at the M line;
(b) through the I band;
(c) through the dense region of the A band;
(d) through the less dense region of the A band, adjacent to the M line (see Fig. $5-29$ b, c)

Cadan Holden
Cadan Holden
Numerade Educator
03:52

Problem 16

To fully appreciate how proteins function in a cell, it is helpful to have a three-dimensional view of how proteins interact with other cellular components. Fortunately, this is possible using Web-based protein databases and threedimensional molecular viewing utilities such as JSmol, a free and user-friendly molecular viewer that is compatible with most browsers and operating systems. In this exercise, you will examine the interactions between the enzyme lysozyme (Chapter 4 ) and the Fab portion of the anti-lysozyme antibody. Use the PDB identifier 1FDL to explore the structure of the IgG1 Fab fragment-lysozyme complex (antibodyantigen complex $) .$ To answer the following questions, use the information on the Structure Summary page at the Protein Data Bank (www.pdb.org), and view the structure using JSmol or a similar viewer.
(a) Which chains in the three-dimensional model correspond to the antibody fragment and which correspond to the antigen, lysozyme?
(b) What type of secondary structure predominates in this Fab fragment?
(c) How many amino acid residues are in the heavy and light chains of the Fab fragment? In lysozyme? Estimate the percentage of the lysozyme that interacts with the antigen-binding site of the antibody fragment.
(d) Identify the specific amino acid residues in lysozyme and in the variable regions of the Fab heavy and light chains that are situated at the antigen-antibody interface. Are the residues contiguous in the primary sequence of the polypeptide chains?

In this exercise, you will examine the interactions between the enzyme lysozyme (Chapter 4 ) and the Fab portion of the anti-lysozyme antibody. Use the PDB identifier

Sana Riaz
Sana Riaz
Numerade Educator
06:07

Problem 17

Use the PDB Molecule of the Month article at www.rcsb.org/pdb/101/motm.do?momID=21 to complete the following exercises.
(a) How many specific antigen-binding sites are there on the first immunoglobulin image on the Web page (image derived from PDB ID 1IGT)?
(b) When a virus enters your lungs, how long does it take for you to produce one or more antibodies that bind to it?
(c) Approximately how many types of different antibodies are present in your blood?
(d) Explore the structure of the immunoglobulin molecule (PDB ID 1IGT) on the Web page by clicking the link in the article or by going directly to Www.rcsb.org/pdb/explore/explore.do?structureId=ligt. Use one of the structure viewers provided on the PDB site to create a ribbon structure for this immunoglobulin. Identify the two light chains and two heavy chains, and give them different colors.

Sana Riaz
Sana Riaz
Numerade Educator
03:42

Problem 18

During the 1980 s, the structures of actin and myosin were known only at the resolution shown in Figure $5-28$ a, b. Although researchers knew that the $\mathrm{S} 1$ portion of myosin bound to actin and hydrolyzed ATP, there was a substantial debate about where in the myosin molecule the contractile force was generated. At the time, two competing models were proposed for the mechanism of force generation in myosin. In the "hinge" model, S1 bound to actin, but the pulling force was generated by contraction of the "hinge region" in the myosin tail. The hinge region is in the heavy meromyosin portion of the myosin molecule, near where trypsin cleaves off light meromyosin (see Fig. $5-27$ b) ; this is roughly the point labeled "Two supercoiled $\alpha$ helices" in Figure $5-27$ a. In the "S1" model, the pulling force was generated in the S1 "head" itself and the tail was just for structural support. Many experiments were performed but provided no conclusive evidence. Then, in $1987,$ James Spudich and his colleagues at Stanford University published a study that, although not conclusive, went a long way toward resolving this controversy. Recombinant DNA techniques were not sufficiently developed to address this issue in vivo, so Spudich and colleagues used an interesting in vitro motility assay. The alga Nitella has extremely long cells, often several centimeters long and about $1 \mathrm{mm}$ in diameter. These cells have actin fibers that run along their long axes, and the cells can be cut open along their length to expose the actin fibers. Spudich and his group had observed that plastic beads coated with myosin would "walk" along these fibers in the presence of ATP, just as myosin would do in contracting muscle. For these experiments, the researchers used a more well-defined method for attaching the myosin to the beads. The "beads" were clumps of killed bacterial (Staphylococcus aureus) cells. These cells have a protein on their surface that binds to the Fc region of
antibody molecules (Fig. 5-21a). The antibodies, in turn, bind to several (unknown) places along the tail of the myosin molecule. When bead-antibody-myosin complexes were prepared with intact myosin molecules, they would move along Nitella actin fibers in the presence of ATP.
(a) Sketch a diagram showing what a bead-antibody-myosin complex might look like at the molecular level.
(b) Why was ATP required for the beads to move along the actin fibers?
(c) Spudich and coworkers used antibodies that bound to the myosin tail. Why would this experiment have failed if they had used an antibody that bound to the part of S1 that normally bound to actin? Why would this experiment have failed if they had used an antibody that bound to actin? To help focus on the part of myosin responsible for force production, Spudich and colleagues used trypsin to produce two partial myosin molecules (Fig. $5-27$ b): (1) heavy meromyosin (HMM), made by briefly digesting myosin with trypsin; HMM consists of S1 and the part of the tail that includes the hinge; and (2) short heavy meromyosin (SHMM), made from a more extensive digestion of HMM with trypsin; SHMM consists of S1 and a shorter part of the tail that does not include the hinge. Brief digestion of myosin with trypsin produces HMM and light meromyosin, by cleavage of a single specific peptide bond in the myosin molecule.
(d) Why might trypsin attack this peptide bond first rather than other peptide bonds in myosin?
Spudich and colleagues prepared bead-antibody-myosin complexes with varying amounts of myosin, HMM, and SHMM and measured their speed of movement along Nitella actin fibers in the presence of ATP. The graph below sketches their results.
(e) Which model ("S1" or "hinge") is consistent with these results? Explain your reasoning.
(f) Provide a plausible explanation for the increased speed of the beads with increasing myosin density.
(g) Provide a plausible explanation for the plateauing of the speed of the beads at high myosin density.
The more extensive trypsin digestion required to produce SHMM had a side effect:
another specific cleavage of the myosin polypeptide backbone in addition to the cleavage in the tail. This second cleavage was in the S1 head.
(h) Why is it surprising that SHMM was still capable of moving beads along the actin fibers?
(i) As it turns out, the tertiary structure of the $\mathrm{S} 1$ head remains intact in SHMM. Provide a plausible explanation of how the protein remains intact and functional even though the polypeptide backbone has been cleaved and is no longer continuous.

Sana Riaz
Sana Riaz
Numerade Educator