Protein Structure & Folding, Exams of Architecture

describe the four levels of protein structure and the thermodynamic forces that stabilize them. • explain how entropy (S) and enthalpy.

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Protein Structure
& Folding
6
In the last chapter we learned that proteins are composed of amino acids
linked together by peptide bonds. We also learned that the twenty amino
acids display a wide range of chemical properties. In this chapter we will see
that how a protein folds is determined by its amino acid sequence and that
the three-dimensional shape of a folded protein determines its function by
the way it positions these amino acids. Finally, we will see that proteins fold
because doing so minimizes Gibbs free energy and that this minimization
involves both making the most favorable bonds and maximizing disorder.
Proteins exhibit four levels of structure
The structure of proteins can be broken down into four levels of
organization. The first is primary structure, the linear sequence of amino
acids in the polypeptide chain. By convention, the primary sequence is
written in order from the amino acid at the N-terminus (by convention
usually on the left) to the amino acid at the C-terminus. The second level
of protein structure, secondary structure, is the local conformation
adopted by stretches of contiguous amino acids. Two common types of
secondary structures in proteins are alpha (α) helices and beta (β) sheets.
The third level is tertiary structure, which is the three-dimensional folded
architecture of a polypeptide chain. Tertiary structure results from the
interaction of regions of secondary structure with each other in precisely
defined ways to form a distinct shape. Finally, quaternary structure is the
interaction of individual folded polypeptide chains to form a higher order
complex. Not all proteins exhibit quaternary structure, but many do as in
describe the four levels of protein
structure and the thermodynamic
forces that stabilize them.
explain how entropy (S) and enthalpy
(H) contribute to Gibbs free energy.
use the equation ΔG = ΔH – TΔS
to determine the dependence of
the favorability of a reaction on
temperature.
explain the hydrophobic effect and its
role in protein folding.
After this chapter, you should be able to:
To understand protein folding
as a chemical equilibrium.
Objectives
Goal
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14

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Protein Structure

& Folding

In the last chapter we learned that proteins are composed of amino acids linked together by peptide bonds. We also learned that the twenty amino acids display a wide range of chemical properties. In this chapter we will see that how a protein folds is determined by its amino acid sequence and that the three-dimensional shape of a folded protein determines its function by the way it positions these amino acids. Finally, we will see that proteins fold because doing so minimizes Gibbs free energy and that this minimization involves both making the most favorable bonds and maximizing disorder.

Proteins exhibit four levels of structure The structure of proteins can be broken down into four levels of organization. The first is primary structure , the linear sequence of amino acids in the polypeptide chain. By convention, the primary sequence is written in order from the amino acid at the N-terminus (by convention usually on the left) to the amino acid at the C-terminus. The second level of protein structure, secondary structure , is the local conformation adopted by stretches of contiguous amino acids. Two common types of secondary structures in proteins are alpha (α) helices and beta (β) sheets. The third level is tertiary structure , which is the three-dimensional folded architecture of a polypeptide chain. Tertiary structure results from the interaction of regions of secondary structure with each other in precisely defined ways to form a distinct shape. Finally, quaternary structure is the interaction of individual folded polypeptide chains to form a higher order complex. Not all proteins exhibit quaternary structure, but many do as in

  • describe the four levels of protein structure and the thermodynamic forces that stabilize them.
  • explain how entropy (S) and enthalpy (H) contribute to Gibbs free energy.
  • use the equation ΔG = ΔH – TΔS to determine the dependence of the favorability of a reaction on temperature.
  • explain the hydrophobic effect and its role in protein folding.

After this chapter, you should be able to:

To understand protein folding as a chemical equilibrium.

Objectives

Goal

Figure 1 Amide hydrogen atoms

carry a partial positive charge

The nitrogen of the peptide bond carries a substantial amount of positive charge due to resonance. Since the N-H bond (green) is polar and electrons in the bond are more strongly attracted to nitrogen than hy- drogen (indicated with gray arrow). This particular bond is even more polar than a typical N-H bond because the excess posi- tive charge carried by nitrogen increases its tendency to attract electrons. As a conse- quence, the partial positive charge carried by the amide hydrogen atom is larger in magnitude than the charge carried by the hydrogen in a typical N-H bond.

the case of hemoglobin, which is a tetramer of four globin polypeptides (Chapter 5). Some higher order complexes consist of multiple copies of the same protein whereas others are heterocomplexes consisting of two or more kinds of proteins. (Hemoglobin is a heterocomplex of two kinds of globin polypeptides.) Describing protein structure in four levels should not be taken to indicate sequential steps in protein folding. For example, the formation of secondary structure does not necessarily precede the formation of tertiary structure; instead, these two levels of structure tend to form concurrently, with the tertiary structure influencing the formation of secondary structural elements and vice versa.

Secondary structure results from hydrogen bonding between peptide bonds As you will recall, peptide bonds are polar, owing to a resonance form that imparts a partial positive charge on the hydrogen atom of the N-H bond (Figure 1) and a partial negative charge on the carbonyl oxygen. Because these atoms carry charge, they have a tendency to form hydrogen bonds with oppositely charged atoms. In many cases, these atoms simply form hydrogen bonds with water, a process that is thermodynamically favorable. These atoms can also form hydrogen bonds with each other, which is even more energetically favorable. The reason for this is that the atoms in peptide bonds carry more charge than the hydrogen and oxygen atoms in water molecules and interactions that involve more charge are stronger. Thus, a hydrogen bond between two peptide bonds is stronger than a hydrogen bond between a peptide bond and water. When peptide bonds form hydrogen bonds with each other, the hydrogen atom attached to the amide nitrogen is donated to the carbonyl oxygen, which acts as the hydrogen bond acceptor. As we learned in the Chapter 2, hydrogen bonds are directional (exhibiting a bond angle of 180°); therefore, the peptide backbone must adopt specific conformations in order for atoms in peptide bonds to hydrogen bond with each other. Hydrogen bonding between atoms in peptide bonds is a common theme in protein structure and forms the basis for all secondary structure. The great 20 th^ century chemist Linus Pauling made fundamental contributions to our understanding of the structure and function of biomolecules, including enzymes. In the early 1950’s, before entire protein structures had been solved by X-ray crystallography (a technique that will be introduced in subsequent chapters), Pauling was studying the crystal

R

N

O

H

δ +

δ +

R

O

N

H

O

R

N

H

multiple strands from different regions of a polypeptide interact in this way a relatively flat, sheet-like surface is created, the β–sheet. Notice that the side chains in β-sheets point outward from each side of the surface with the side chains of adjacent amino acids alternately displayed above and below the sheet. For example, if one side chain in a β-sheet points to the bottom of a β-sheet, the following residue in the primary sequence will have a side chain that points to the top of the β-sheet. The orientation of β-sheets can be parallel or antiparallel. In parallel sheets, the β-strands are aligned such that their N-termini (and likewise C-termini) all point in the same direction (Figure 3B). In antiparallel sheets, the N-termini and C-termini of adjacent strands are orientated oppositely (Figure 3A). There are subtle variations in hydrogen bonding patterns between adjacent strands in parallel and antiparallel β-sheets but the basic features of cross strand interactions are maintained. An example of a two-stranded β-sheet in which two strands are linked by a short loop of amino acids that allows the two strands to fold back on themselves is shown in Figure 4. Notice that this results in an anti-parallel orientation.

N-term

N-term

N-term

N-term

Parallel β-sheet

N-term

C-term N-term

C-term

N-term C-term

N-term

C-term

C-term

Antiparallel β-sheet

(B) (C)

R 1 ’

Stabilized by hydrogen bonds between adjacent β-strands.

Side chains of adjacent amino acids point in opposite directions.

R 3 ’

R 1

R 5 ’

R 2

R 3

R 4 ’ R 4

R (^5)

R 2 ’

N-term

C-term

N-term

C-term

Antiparallel β-sheet

(A)

N N^ N N^ N

O

O

O

R 4 R 2 O

R 3 R 1

N N H N N H

N O

O

O

O R 2 ' R 4 '

R 1 ' R 3 '

H (^) H

H (^) H N H

O

O

H

H

H N O

R (^5)

R 5 '

N N N N N O

O

O

O R 2 ' R 4 '

R 1 ' R 3 '

H (^) H N

H O

H R 5 '

H H

H H

R (^5)

O

O R 1 R (^3) HN

O R 2 R (^4)

O

O

O N

N N H N N H

H N O

O

O

O R^2 ' R^4 '

R 1 ' R 3 '

N H

O

N (^) N N (^) N

R 5 '

H H H

H (^) H

N N N N

H N O

O

O

O R 2 ' R 4 '

R 1 ' R 3 '

N

O

R 5 '

H (^) H

H H (^) H

H H

Figure 3 Peptide bonds in a β-sheet point in alternate directions

(A) Line drawing of an antiparallel β-sheet. (B) Line drawing of a parallel β-sheet. (C) Cartoon diagram of a generic antiparallel β-sheet. The green planes highlight the pleated shape of the β-sheet. Hydrogen bonds between backbone atoms are indicated with dashed lines (light blue). Carbon, gray; oxygen, red; nitrogen, blue; hydrogen, white.

Some β-strands can assemble into very extensive sheets as new strands are added to each side of the sheet. This can produce insoluble aggregates, or clumps of protein. In Alzheimer’s disease a protein in the brain is cleaved, and one of the resulting fragments forms a highly extensive β-sheet that aggregates to form plaques whose presence is correlated with tissue death.

Peptides bonds in α-helices point in the same direction Another secondary structure that maximizes hydrogen bond formation within a single polypeptide chain is the α-helix. In α-helical regions of secondary structure, the polypeptide chain is organized in a right-handed corkscrew with all of the carbonyl oxygen atoms along the helix pointing towards the C-terminus and all of the amide hydrogen atoms pointing towards the N-terminus (Figure 5). This arrangement of carbonyls and amide hydrogens with respect to the axis of the helix is a consequence of the angles that the bonds in the peptide backbone can assume. In an α-helix, hydrogen bonds can form between amino acids in one turn of a helix and

N

HN N

HN N

O O

O O

N N H N N H

N O

O O

O

H (^) H

H H

O NH (^2)

OH NH

O

O H

H 2 N (^) O

NH (^3)

O NH H HO O

O HN O

O

HO HN O

N-term

C-term

Hydrogen bonds betweenadjacent β-strands.

N-term

C-term

Hydrogen bonds betweenadjacent β-strands.

N-term

C-term

Loop

N-term

C-term

β-strand Loop

Antiparallel β-sheet

N-term

C-term

Pleatedpattern

(A)

(C)

(E)

(B)

(D)

Figure 4 An example of a β-sheet formed from two β-strands connected by a loop

(A) Cartoon representation of an excerpt from a larger protein. In this example, two β-strands are connected by a short loop to form an antiparallel β-sheet. Arrows representing β-strands point toward to C-terminus by convention. (B) Line drawing of the chemical struc- ture of the polypeptide from (A). (C) Stick representation of the polypeptide from (A) and (B) that highlights the hydrogen bonds that stabilize the β-sheet (shown in blue). Carbon, green; oxygen, red; nitrogen, blue. (D) Alternate view of (C) that highlights the pleated pattern of the β-sheet (highlighted in purple). (E) Alternate view of (C) and (D) that highlights the location of the loop that connects the two β-strands.

to contain macrodipoles. The charges associated with these macrodipoles can allow the two ends of the helix to participate in attractive interactions with oppositely charged moieties. Finally, to appreciate that the α-helix is right-handed, in your mind’s eye superimpose your right hand over the helix in Figure 5a with your thumb pointing up. Your fingers will wrap around the helix with the helix rising in the direction of your thumb. Conversely, if you do this with your left hand, the helix will be descending away from the direction that your thumb is pointing. We will use this mnemonic, also known as the physicist’s right- hand rule, in Chapter 7 to see that the DNA is a right-handed double helix.

Proteins can contain different types of secondary structure Most proteins contain a mixture of α-helices and β-sheets, but some are composed exclusively of just one type of secondary structure (Figure 6). Segments of the peptide backbone that do not form secondary structure are called loops. Loops are linkers that connect regions of secondary structure. The cartoon representation of a protein’s structure represents α-helices and β-sheets as coils and flat arrows, respectively. Each coil and arrow represents a contiguous stretch of amino acids. Loops are shown in cartoon representations as lines connecting regions of secondary structure. It should be noted that proline is disfavored in secondary structures because its amide cannot participate in hydrogen bonding (Figure 7). Instead proline is often found in loops because it can assume the cis configuration, which forces the chain to bend back on itself. Because loops are often flexible regions of proteins, glycine is also often found in loops.

β 1 adrenergic receptor Alcohol dehydrogenase Antibody fragment

α-helix β-strand

loop

(A) (B) (C)

Figure 6 Examples of secondary structure elements in proteins

(A) The β 1 adrenergic receptor is an example of a protein that is made entirely of α-helices. (B) Alcohol dehydrogenase is an example of a protein that is a mixture of both α-helices and β-sheets. (C) Antibodies are examples of proteins that almost exclusively contain β-sheets. In each structure loops are shown in yellow, α-helices are shown in green, and β-sheets are shown in red.

Intra- and intermolecular interactions help to stabilize tertiary and quaternary structure Whereas hydrogen bonding interactions between backbone atoms stabilize secondary structure, ionic interactions, hydrogen bonds, and van der Waals interactions help stabilize tertiary and quaternary structure. These interactions occur between functional groups in different portions of the same molecule in tertiary structure and between molecules in quaternary structure. Whereas secondary structure is largely stabilized by interactions between backbone atoms, tertiary and quaternary structure is principally stabilized by interactions between side chains. Side chains are chemically heterogeneous; consequently, these interactions can involve ions, permanent dipoles, and induced dipoles (Figure 8). Ionic interactions take place between amino acid side chains that are ionized at physiological pH, meaning that they carry full positive or negative

H 2 N

OH

O

R

N H

OH

O

All amino acids except proline

Proline

N

O

H O

R

hydrogen bond donor

O N

O NO hydrogen bond donor

Figure 7 Proline disrupts second-

ary structure

All amino acids except proline have a hy- drogen attached to their amide nitrogen when they are part of a peptide (top). Pro- line lacks this hydrogen (bottom). This missing hydrogen atom is needed as a do- nor to form the hydrogen bonds that sta- bilize secondary structure. As a result, pro- line disrupts secondary structure because it prevents hydrogen bonding between back- bone atoms.

Figure 8 Interactions between side chains help stabilize tertiary and quaternary structure

Interactions between amino acid side chains help to stabilize the folded structures of proteins. These interactions can include (A) ionic interactions, (B) hydrogen bonds, and (C) van der Waals interactions.

(A)

N H

H N

O

O

HN NH O

O

O

O

NH 3

Ionic interaction

(B)

δ+ δ-

δ-

NH

H N

O

O

O

HN N H (^) O

O

H

O

H 2 N

Hydrogen bond

(C)

NH

H N

O

O

H N N H (^) O

O

Van der Waals interaction

on hydrophobic surfaces increases the degree of order in the system. As we will come to presently, disorder ( entropy ) is thermodynamically favored over order. Thus, burying nonpolar surfaces in the interior of a protein is favored because it maximizes disorder. That is, minimizing the nonpolar surface area (by collapsing the polypeptide chain into a globule) minimizes the number of water molecules that become ordered into ice-like structures. Minimizing the ordering of water molecules is a principal driving force in the folding of proteins. As we shall see in Chapter 7, the hydrophobic effect is also a principal driving force for stabilizing the wrapping of two polynucleotide strands around each other in the DNA double helix. Because of the importance of the hydrophobic effect in protein folding, the distribution of nonpolar and polar amino acids within primary structure plays a critical role in determining a protein’s architecture. Nonpolar, hydrophobic side chains, such as those belonging to phenylalanine, leucine, isoleucine, valine, methionine, and tryptophan, tend to cluster in the interior of the folded protein. In contrast, polar side chains, such as those belonging to arginine, glutamine, glutamate, and lysine tend to arrange themselves near the outside of the protein, where they can form hydrogen bonds with water and other polar molecules (Figures 9 and 10). Some ionic and polar amino acid side chains are, nonetheless, located in the protein’s interior. When they are located in the interior, they are inevitably in close proximity to other ionic or polar bonds with which they can interact. Interactions between complementary, charged amino acids (e.g., lysine with aspartate) in the interior are particularly strong (due to the absence of competing water molecules) and thus make a disproportionately important energetic contribution to the precise folded conformation of the protein.

The energy released during protein folding is small Protein folding is in effect a chemical reaction in which the equilibrium is defined by the concentrations of the product (the folded protein) and the reactant (the unfolded protein). Proteins fold because the folded conformation is lower in energy than the unfolded conformation; protein

HN

OH

OH

OH

O H 2 N

O O

Nt

Ct

HN

OH

OH

OH

O NH 2

O O

Ct

Nt

hydrophobic side chains hydrophobic side chains sequestered to protein’s interior

hydrophilic side chains exposed on protein’s hydrophilic surface side chains

protein folding

Figure 9 The arrangement of hydrophobic and hydrophilic side chains in a protein determines its folded

structure

Because of the hydrophobic effect, hydrophobic side chains (purple) are sequestered to the protein’s interior when it folds. Hydrophilic side chains (green) are usually left exposed on the protein’s surface.

folding is thermodynamically favorable. Consequently, Keq for protein folding is greater than one and ΔGrxn is negative. In most cases, however, it does not take much energy to unfold a protein. Some proteins denature (that is, they unfold) at just a few degrees above body temperature. In fact, when you get a fever, some proteins actually do denature, causing the body to make special stress response proteins that help denatured proteins refold correctly. Because small amounts of energy are required to unfold a protein, we can deduce that ΔGrxn for protein folding, while negative, is relatively small.

Gibbs free energy is a function of enthalpy (H) and entropy (S) To understand the energetics of protein folding more deeply, we need to introduce the concepts of enthalpy (H) and entropy (S). Enthalpy is a measure of the potential to take up or give off energy in the form of heat, and entropy is a measure of disorder. Both properties are directly related to Gibbs free energy according to the following equation in which T is the temperature in Kelvin: G = H - T•S Enthalpy and entropy, like Gibbs free energy, describe properties of a system at a given state. Like Gibbs free energy, the absolute amount of entropy or enthalpy in a system is not directly measurable; instead, we typically discuss changes in these values as a system moves from one state to another. In Chapter 3 we defined ΔGrxn as the change in Gibbs free energy as a reaction proceeds from 100% reactant to 100% product under standard state conditions. We can similarly define ΔHrxn and ΔSrxn as the changes in enthalpy and entropy, respectively, for a reaction that proceeds from 100% reactant to 100% product under standard state conditions. ΔGrxn, ΔHrxn and ΔSrxn are related in the same way as G, H, and S: ΔGrxn = ΔHrxn - T•ΔSrxn

Hydrophobic amino acids

Hydrophilic amino acids

Figure 10 Polar side chains are

generally found on the surfaces of folded proteins, whereas hydro- phobic side chains are sequestered to the protein interior

Shown is a surface representation of an ex- ample protein in which hydrophobic amino acids are colored in purple and hydrophil- ic amino acids are colored in translucent green.

The entropy of the universe is always increasing, but the entropy of a given system can decrease The field of thermodynamics is based upon the Laws of Thermodynamics, which are a set of fundamental principles that inform our understanding of the universe. The First Law of Thermodynamics states that energy cannot be created or destroyed, but only converted between forms. The Second Law holds that the entropy of the universe is always increasing. That is, every chemical process and transfer of energy results in an increase in the total entropy of the universe. It is possible to observe chemical reactions that are associated with a decrease in entropy (ΔSrxn < 0). For this to occur, however, there must be an increase in entropy elsewhere in the universe. In general, we define a system in which the reaction is taking place, such as a cell or a flask, as distinct from its surroundings. Within that system, entropy can either increase or decrease, but there must always be a corresponding change in the entropy of the surroundings such that the total entropy of the system and surroundings is increasing (Figure 11). Imagine, for example, a reaction that reduces entropy but gives off heat (ΔSrxn < 0 and ΔHrxn < 0). Although the entropy of the system decreases as the reaction proceeds, the heat it releases increases the entropy of the surroundings.

The favorability of certain reactions is dependent on temperature The signs (positive or negative) of ΔHrxn and ΔSrxn tell us how changes in temperature will affect ΔGrxn, Keq, and the favorability of a chemical reaction. Figure 12 lists the four possible permutations for the signs of ΔHrxn and ΔSrxn. The effect of temperature on ΔGrxn is different in each of these cases. For example, for a reaction in which the change in enthalpy is negative and the change in entropy is positive, ΔGrxn is always a negative value. This is because the “-T•ΔSrxn” term is negative if ΔSrxn is positive, and no matter the magnitude of ΔSrxn, the sum of ΔHrxn and -T•ΔSrxn is always negative. On the other hand, if ΔHrxn is negative and ΔSrxn is also negative, then ΔGrxn can be positive or negative depending on the temperature. In

∆Stotal = ∆Ssystem + ∆Ssurroundings

ΔStotal is always positive.

∆S (^) system can be negative, but ∆Ssurroundings must be positive and large enough to make ∆Stotal positive.

Figure 11 The entropy of universe

always increases

The second law of thermodynamics states that the total entropy of the universe (Stotal) always increases. We can, however, define a “system” that contains only the matter we wish to study. This could be a chemical re- action in a flask, or a cell, or whatever we are interested in observing. The entropy of that system (S (^) system) can decrease, but only if the entropy somewhere else in the universe (S (^) surroundings) increases.

Figure 12 The signs of ΔHrxn and

ΔSrxn determine how the sign of ΔGrxn is affected by temperature

∆Hrxn ∆Grxn

Negative at high temperatures

Always positive

Negative at low temperatures Always negative

∆Srxn

Positive

Positive

Negative

Negative

Positive

Negative

Negative

Positive

sum, two of the four cases are independent of temperature (one case is always favorable and the other is never favorable), and the other two are dependent on temperature (in one case the reaction becomes favorable as the temperature increases and in the other the reaction becomes favorable as the temperature decreases. Consider the example of ice melting, which becomes a favorable process as the temperature rises above freezing. That means that ΔGrxn for ice melting must be negative at temperatures above 0°C. From this information alone, we can conclude that the signs of ΔHrxn and ΔSrxn for ice melting must both be positive because the process only becomes favorable as the temperature increases (first case in Figure 12 and see Figure 13). Why are ΔHrxn and ΔSrxn for ice melting positive? When you hold an ice cube, your hand becomes cold as the ice begins to melt, and so it should make sense that ice melting is an endothermic process. Heat is withdrawn from your hand to break the hydrogen bonds that hold the water molecules in ice together, and as a result, your hand becomes cold. There are hydrogen bonds in liquid water as well, but they are not as strong as the hydrogen bonds in ice (because the optimal bond angle for hydrogen bonds is better preserved in ice than in water), and because the melting of ice requires the net breaking of bonds, ΔHrxn is positive. Therefore, it requires the input of more energy to break the more favorable hydrogen bonds in ice than the amount of energy that is released by the formation of bonds in water. Because the entropy of liquid water is higher than the entropy of solid ice, ΔSrxn for ice melting is positive. This should make sense because the molecules in liquid water are far less ordered than the molecules in ice. Ice

∆Grxn

Temperature (K)

∆Hrxn > 0

∆S (^) rxn > 0

0 273.15 K = 0°C

melting is favorable above the melting temperature ∆Grxn

Temperature (K)

∆Hrxn < 0

∆S (^) rxn < 0

0

273.15 K = 0°C

freezing is favorable below the melting temperature

Solid Ice Liquid Water

Melting

Liquid Water Solid Ice

Freezing

(A) (B)

Figure 13 The temperature dependence of melting and freezing are explained by the signs of ΔHrxn and ΔSrxn

for each process

(A) When solid ice melts into liquid water, the sign of ΔGrxn is negative at high temperatures, corresponding to ΔHrxn and ΔSrxn values that are both positive. (B) When liquid water freezes into solid ice, the sign of ΔGrxn is negative at low temperatures, corresponding to ΔHrxn and ΔSrxn values that are both negative.

Anfinsen’s experiment shows that primary structure determines protein conformation The Nobel-winning scientist Christian Anfinsen proposed several decades ago that the three-dimensional structure of a protein is a direct consequence of its primary structure. That is, proteins find the folded conformation that is lowest in energy, meaning the conformation in which favorable interactions are maximized and unfavorable interactions are minimized. To test this hypothesis, Anfinsen denatured (unfolded) a protein and then asked if it would fold back into its native conformation in a test tube. He used the enzyme ribonuclease A, which cleaves RNA. This protein is relatively small, and because it is an enzyme, its folded state could be assessed by measuring its enzymatic activity. Anfinsen took two samples of ribonuclease A and added both reducing agent and 8 M urea (CO(NH 2 ) 2 ) to each of them. The reducing agent was added in order to break the four disulfide bonds that stabilize the structure of ribonuclease A. Urea causes proteins to unfold. At high concentrations, urea alters the extensive hydrogen bonding network between water molecules (urea contains both hydrogen bond donors and acceptors) and thus interferes with the forces that promote protein folding (in effect, it makes the hydrophobic effect less important in protein folding). Anfinsen then took one of the samples and used dialysis to remove the urea. Next, Anfinsen treated this sample with oxidizing agent to promote disulfide bond formation. The protein was then tested for enzymatic activity, and it was found to have 90% of the activity of the original sample, implying that most of the protein molecules had refolded into their correct, or native, shape (Figure 15A). In a parallel experiment, Anfinsen took the other sample and, after it had been treated with reducing agent and urea, oxidized it first to promote disulfide bond formation and then removed the urea. In other words, he reversed the order of the final two steps (Figure 15B). This sample was only 1-2% as active as the original, implying that the

S

S

S

S

S S

S

S

Scrambled (1-2% active)

(B)

SH

SH

SH

SH SH SH SH S S

S S

S S S

S

S S

S S

S S S

S

Native (100% active)

Native (>90% active)

Denatured (inactive)

(A)

  1. Reduce
  2. 8 M urea
    1. Remove urea
    2. Oxidize

SH

SH

SH

SH (^) SH SH SH S S

S S

S S S S

Native (100% active) Denatured (inactive)

  1. Reduce
  2. 8 M urea
    1. Oxidize
    2. Remove urea

Figure 15 The entropy of universe

always increases

(A) Ribonuclease A was denatured and its disulfide bonds were reduced. The dena- turant was removed and the protein was allowed to refold before the disulfide bonds were restored with an oxidizing agent. The resulting protein regained its enzymatic ac- tivity, demonstrating that it had returned to its proper folded state. (B) In a parallel experiment, the protein’s disulfide bonds were restored by adding an oxidizing agent before removing the denaturant. This re- sulting in scrambled disulfide bonds that prevented the protein from refolding into its native conformation. Consistent with expectations, the scrambled control protein had regained little of its enzymatic activity.

procedure of oxidizing while the protein was still denatured was ineffective in restoring enzymatic activity. By oxidizing the protein before removing urea, Anfinsen “trapped” conformations containing incorrect disulfide bonds. These bonds then prevented the protein from adopting its native structure again. Anfinsen’s experiment showed that the native structure of ribonuclease A will form following denaturation provided that premature oxidation is prevented. Therefore, the protein is intrinsically capable of finding its lowest energy conformation. Anfinsen concluded that the information required to fold a protein into its native, lowest energy conformation is entirely contained within its sequence of amino acids.

Protein aggregation can be more favorable than folding at high concentration Despite the example of ribonuclease A, many denatured proteins fail, in practice, to fold back into their native state on their own. A well-known example is egg white. Egg white principally consists of the protein albumin in an aqueous solution. When egg white is heated, the proteins unfold and clump together in a process called aggregation. When the egg white is removed from the heat, the albumin molecules remain clumped together; they do not refold as they were in the original egg white. The reason is that the proteins in the egg white are highly concentrated. The same is true in cells. A typical cell is densely packed and has a protein concentration of about 200-300 g/l, which is the equivalent of dissolving a half pound of salt in a liter of water. Whereas salt is extremely soluble, proteins are not. When proteins in a concentrated solution are denatured, they interact with neighboring protein molecules instead of folding back into the correct shape. For example, instead of burying hydrophobic residues in the protein interior, a denatured protein will aggregate with a neighboring protein by coalescing its hydrophobic side chains with those of its neighbor. Such interactions would liberate ordered water just as effectively as protein folding (i.e., ΔSwater is equal for both aggregation and folding) whereas not requiring the protein to become as ordered (i.e., ΔSprotein for aggregation is less negative than ΔSprotein for folding). Although protein folding is a favorable process, protein aggregation is likely a more favorable process (Figure 16). Anfinsen’s classic experiment circumvented this problem by

Unfolded

Folded

Aggregated

Figure 16 Protein aggregates are

thermodynamically more favor- able than folded proteins

Unfolded proteins tend to aggregate in con- centrated solutions because aggregation is more thermodynamically favorable than folding. Folded proteins do not tend to aggregate because they require an input of energy to reach the unfolded conformation before they can aggregate.

Proteins exhibit two kinds of secondary structure, the β-sheet and the α-helix. In β-sheets the peptide backbone adopts an extended conformation in which both amide and carbonyl groups point in alternating directions. Each segment of the peptide backbone with this conformation is known as a β-strand. A β-sheet is formed when multiple β-strands lie side-by-side and form hydrogen bonds between their backbone atoms. In α-helices all of the peptide bond N-H groups are pointed in the same direction and all of the carbonyl C=O groups are pointed in the same direction (opposite to the N-H groups). The peptide backbone in an α-helix forms a right-handed coil in which the carbonyl oxygen of each amino acid forms a hydrogen bond to the amide hydrogen of the amino acid four residues closer to the C-terminus.

Tertiary and quaternary structures are stabilized by intra- and intermolecular interactions between side chains and the hydrophobic effect. Intra- and intermolecular interactions between side chains are diverse in nature, owing to the chemical heterogeneity of the amino acid side chains. They include ionic interactions, hydrogen bonds, and van der Waals’ interactions. The hydrophobic effect occurs when hydrophobic side chains are sequestered away from water and buried in the interior of the protein. The hydrophobic effect is distinct from van der Waals’ interactions. An ordered shell of water forms over hydrophobic surfaces that are exposed to water. When hydrophobic surfaces, such as amino acid side chains, are sequestered away from water, the outer shell of water is released, and the previously ordered water molecules are released into the bulk solvent where they move more freely. Because the released water molecules are more disordered than the ordered water molecules, the hydrophobic effect causes an increase in entropy that is responsible for the thermodynamic favorability of the hydrophobic effect.

Gibbs free energy consists of enthalpic (H) and entropic (S) components. Like Gibbs free energy, enthalpy and entropy are values that describe the state of a system. The change in enthalpy for a process (ΔHrxn) describes the strength of the bonds broken and formed during the process. When more energy is released from the forming of bonds than absorbed by the breaking of bonds, ΔHrxn is negative. When ΔHrxn is negative, the process releases heat and is exothermic. When ΔHrxn is positive, the process absorbs heat and is endothermic. Negative values of ΔHrxn contribute favorably to ΔGrxn. Entropy is a measure of disorder, or more specifically, the number of ways in which energy can be distributed in a system. Entropy is highest when the atoms in molecules are free to vibrate, rotate, and translate back and forth. The change in entropy for a process (ΔSrxn) describes the difference in entropy between the products and reactants. Positive values of ΔSrxn contribute favorably to ΔGrxn and indicate an increase in disorder as the reaction proceeds. The contribution of entropy to ΔGrxn depends on temperature as indicated by the equation:

ΔGrxn = ΔHrxn - T•ΔSrxn

This, in turn, means that the favorability of some reactions is dependent on temperature.

Finally, Anfinsen’s experiment showed that the primary structure of a protein determines its three-dimensional, folded structure. Proteins often exist in dense solutions, such as in an egg or a cell, in which they can aggregate, or clump together, if they become unfolded. This is because aggregation can be thermodynamically favored over folding.