C3 — Proteins Flashcards

1
Q

Polypeptide

A

A linear sequence of amino acids covalently joined together by peptide bonds

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2
Q

Prosthetic group

A

An organic cofactor tightly bound to a protein

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3
Q

Primary structure of a protein

A

the unique number and linear sequence of amino acids that constitute the polypeptide chain

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4
Q

Tertiary structure

A

refers to the further bending, twisting and folding of the polypeptide chain with the secondary structures to give an overall specific 3D conformation of a protein.

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5
Q

Quaternary structure

A

is the overall protein structure that results from the association of two or more polypeptide chains to form a functional protein.

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6
Q

Denaturation

A

is the loss of the specific 3D conformation of a protein molecule

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7
Q

Describe the main features of the molecular structures of haemoglobin and collagen, visible in figure 3.1. [5]

A

Haemoglobin (max 3)
- Tetramer of 4 polypeptide chains/ 2 identical dimers forming a globular molecule
- each chain folded to give a specific overall 3D conformation
- each chain contains a Haem prosthetic group
Collagen (max 2):
- Single collagen molecule consists of 3 polypeptide chains that
- wound around each other to form a rope-like triple helix called tropocollagen

Some extra features of tropocollagen are:
-> Small R group of Gly is present at every third residue -> the three helical α-chains can pack tightly together, which provides high tensile strength.
-> The residues in the X and Y positions are located on the outside of the triple-helix, where there is room for the bulky R groups of proline and other residues.
-> Proline with its ring structure, stabilises the rigid three-stranded collagen helix
The tropocollagen is held together by an extensive network of hydrogen bonds.
-> Hydrogen bonds formed between the N-H group of Gly residue in one alpha-chain and the C=O group of another amino acid residue in a neighbouring alpha-chain help hold the three chains together.
-> The hydroxyl groups (–OH) of hydroxyproline and hydroxylysine residues also participate in interchain hydrogen bonding.
- In addition, covalent cross-links are also present within tropocollagen molecules to further impart the collagen fibre with high tensile strength.
- The increasingly rigid and brittle character of aging connective tissue results from accumulated covalent cross-links in collagen fibrils.

Haemoglobin (extra):
Function: Transports oxygen (O2) in the blood from the lungs to other tissues in the body to supply cells with the O2 required for aerobic respiration.
General structure: Multimeric protein comprising 4 polypeptide chains, namely 2 α-chains and 2 β-chains. It is a tetramer (α2β2) made up of two identical dimers (αβ).
alpha or beta polypeptide chain -> 8 alpha helices per pp chain -> folded pp (polypeptide) chain -> globular molecule

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8
Q

Haemoglobin is a transport protein. Collagen is a structural protein. Explain how the molecular structures of Haemoglobin and collagen are related to their functions. [5] (relate to chemical properties)

A

Haemoglobin (any 2 to 3)
- Hydrophilic amino acid residues located at surface of each subunit, making hydrophobic cleft soluble in cytosol of RBCs, facilitating oxygen transport
- Hydrophobic cleft, allows for Haem prosthetic group to bind to O2
- 4 subunits, increase haemoglobin’s overall capacity for oxygen transport
- Haem group bears an Fe2+ ion, which binds reversibly to oxygen facilitating its uptake and release
- Binding of oxygen to a subunit results in conformational changes in remaining subunits, which allow them to bind more readily to oxygen (cooperative binding)
- globular shape, so that many haemoglobin molecules can be packed into a red blood cell facilitating oxygen transport (weak point)

Collagen (any 2 to 3)
- Every third residue is glycine which is small enough to fit in centre of triple helix, to allow the 3 alpha-chains to pack tightly together providing high tensile strength
- the 3 alpha chains held together by extensive hydrogen bonds formed between the neighbouring alpha-chains, providing high tensile strength
- Covalent cross-links present within tropocollagen molecules, to further impart collagen fibre with high tensile strength (can also between different tropocollagen molecules)
- Tropocollagen molecules further assemble in a staggered manner linked by covalent cross-links, forming collagen fibres that has high tensile strength (covalent cross-links present due to interactions between R groups; the N and C terminus)

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9
Q

Describe the primary structure of collagen polypeptide chains. [2]
(primary structure -> address sequence and unit number)

A
  • Amino acid sequence of a polypeptide chain consists of a repeating tripeptide sequence of glycine-X-Y, where X is often proline and Y is often hydroxyproline or hydroxylysine
  • each polypeptide chain is about 1000 amino acid residues long
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10
Q

Explain how 3 collagen polypeptide chains are able to form a tightly coiled 3 stranded helix. [2]

A
  • Every third residue is glycine which is small enough, to fit in centre of triple helix
  • the three polypeptide chains held together, by extensive hydrogen bonds formed between -NH of Gly residue in one alpha-chain and C=O of another amino acid residue in a neighbouring alpha-chain OR between -OH of hydroxyproline and hydroxylysine residues in different alpha-chains (quaternary structure)

Some features of tropocollagen are:
-> Small R group of Gly is present at every third residue, fits in centre of triple helix -> the three helical α-chains can pack tightly together, which provides high tensile strength.
-> The residues in the X and Y positions are located on the outside of the triple-helix, where there is room for the bulky R groups of proline and other residues.
-> Proline with its ring structure, stabilises the rigid three-stranded collagen helix

The tropocollagen is held together by an extensive network of hydrogen bonds.
-> Hydrogen bonds formed between the N-H group of Gly residue in one alpha-chain and the C=O group of another amino acid residue in a neighbouring alpha-chain help hold the three chains together.
-> The hydroxyl groups (–OH) of hydroxyproline and hydroxylysine residues also participate in interchain hydrogen bonding.
- In addition, covalent cross-links are also present within tropocollagen molecules to further impart the collagen fibre with high tensile strength.
- (The increasingly rigid and brittle character of aging connective tissue results from accumulated covalent cross-links in collagen fibrils.)

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11
Q

The bonds found between the alpha and beta polypeptide chains in a haemoglobin are the same as those found holding the tertiary structure together, except that covalent bonds are absent. Describe the types of bond, other than covalent bonds, that help to maintain both the tertiary and quaternary structure of haemoglobin. [3] (Type of bond -> name of bond + how it forms)

A

Ref to R group interactions
- Ionic bonds, formed between oppositely-charged R groups
- hydrogen bonds, formed between hydrogen atom in a R group and strongly electronegative atom in another r group
- hydrophobic interactions, formed between hydrophobic r groups

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12
Q

Haemoglobin is a transport molecule and carries oxygen which binds to the non-protein haem group. In areas of the body where there is a lot of respiration and therefore carbon dioxide production, the haemoglobin releases oxygen. With reference to the information above and your knowledge of proteins, explain how Haemoglobin can release oxygen in these circumstances.

A
  • CO2 produced binds haemoglobin
  • which destabilises oxyhaemoglobin, lowering the affinity of haemoglobin for oxygen
  • hence promoting release of oxygen by haemoglobin
  • Reject: description of how oxygen is carried by haemoglobin
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13
Q

Carbon monoxide binds to haemoglobin at the oxygen-binding sites. When CO is present in the blood, at concentrations of 0.1% or above, the person will become unconscious due to lack of oxygen supply from haemoglobin. Treating this person with 100% oxygen may allow them to regain consciousness. Suggest how this treatment works. [2]

A
  • Oxygen competes with carbon monoxide for binding site
  • carbon monoxide less likely to bind to binding site in presence of 100% oxygen
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14
Q

With reference to figure 2.1, explain how the highest level of protein structure of one G-actin subunit is maintained. [3] (1 N terminus and 1 C terminus -> 1 pp)

A
  • Tertiary structure
  • one polypeptide/subunit as seen in figure 2.1, with one N terminus and 1 C terminus
  • is folded and twisted/coiled to give specific 3D conformation/globular shape
  • maintained by R-groups interactions between amino acid residues such as hydrophobic interactions, ionic bonds, hydrogen bonds, disulfide bonds
  • within tertiary structure hydrophobic regions localised in interior and shielded from aqueous environment while hydrophilic regions exposed to exterior
  • within tertiary structure secondary structures are observed (12 alpha-helices and 3 beta-pleated sheets)
  • maintained by intra-chain hydrogen bonds between C=O and N-H groups of polypeptide backbone
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15
Q

Explain the changes that occur when F-actin is subjected to high temperatures. [2]

A
  • Kinetic energy of protein increases/ thermal agitation occurs, resulting in disruption of intermolecular interactions such as hydrophobic interactions, ionic bonds, hydrogen bonds between G-actin subunits
  • resulting in disassembly of F-actin /separation of G-actin subunits/ loss of quaternary structure of f-actin/loss of specific 3D conformation/denaturation of F-actin
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16
Q

Compare the structure of tropocollagen and F-actin [2]

A

Similarities: (any 1)
- Both have a fully extended/elongated/repeated structure
- both have a helical structure
- both have non-covalent interactions between monomers
- Both have a quaternary structure

Differences:
T: Consists of alpha-chains as the protein subunit
FA: Consists of G-actin as the protein subunit

T: Consists of protein subunits that are fibrous/lacking tertiary structure
FA: Consists of protein subunits that are globular/possessing tertiary structure

T: has alpha-chains
FA: contain alpha-helices and beta-pleated sheets

T: consists of 3 protein subunits
FA: consists of multiple/more than three/varying numbers of protein subunits

T: contains covalent cross-links present between alpha-chains/subunits
FA: does not contain covalent cross-links/ only non-covalent interactions

T: Contains a repeated tripeptide sequence of GlyX-Y in the protein subunit
FA: contains no repeating sequence in the protein subunit

T: is a triple helix
FA: is a double helix

17
Q

Describe the molecular structure of haemoglobin. [4]

A
  • tetramer of 4 polypeptide chains / 2 identical dimers forming a globular molecule, held by multiple non-covalent interactions ;
  • each chain consists of eight α-helices, stabilized by hydrogen bonds ;
  • each chain is folded such that amino acid residues located at surface are hydrophilic, while those buried in interior are hydrophobic ;
  • each chain has a hydrophobic cleft, which contains a haem prosthetic group ;
  • haem group consists of an iron ion (Fe2+), held in a porphyrin ring ;
18
Q

Classification: shape of proteins:
Fibrous proteins vs globular proteins

A

FP: Pp chains are elongated and wound around each other to form rope-like structure.
GP: Polypeptide chains are folded, bent and twisted to form a compact and
spheroidal structure.

FP: Each polypeptide chain has a repetitive amino acid sequence.
GP: Each polypeptide chain has a specific and non-repetitive amino acid sequence.

FP: Each polypeptide chain is limited to a small, specific variety of amino acids.
GP: Each polypeptide chain is made up of a wide variety of amino acids.

FP: Amino acid sequence may vary slightly between two samples of the same fibrous protein.
GP: Amino acid sequence never varies between two samples of the same globular protein.

FP: The length of the polypeptide chain may vary in two samples of the same fibrous protein.
GP: The length of polypeptide is always identical in two samples of the same globular protein.

FP: Fibrous proteins have stable structures due to the numerous intra- and inter- molecular hydrogen and covalent bonds.
GP: Globular protein have relatively unstable structures due to the numerous intra- and inter-molecular non-covalent bonds, such as hydrogen bonds, ionic bonds and hydrophobic interactions.

FP: Fibrous proteins are generally insoluble in water.
GP: Globular protein are generally more soluble in water than fibrous proteins

FP: Fibrous proteins perform structural functions.
GP: Globular protein perform metabolic functions.

FP: Collagen, myosin, fibroin in silk, actin, keratin, elastin.
GP: Enzymes, hormones, antibodies and haemoglobin.

19
Q

Structure and properties of amino acids

A

Structure: contains…a basic amine group (–NH2), an acidic carboxyl group (–COOH)
a hydrogen atom and a R group.

Properties:
- Insoluble in organic solvents but soluble in water where they form ions. The amine and carboxyl group of amino acids can readily ionise.

  • Ability to form Zwitterions
    Zwitterions are formed by:
    the loss of a hydrogen ion (H+) from the carboxyl group (–COOH) making it negatively charged (–COO-).
    This hydrogen ion (H+) associates with the amine group (–NH2), making it positively charged (–NH3+).
    Because the resulting amino acid contains one positive charge and one negative charge, it is an electrically neutral, dipolar ion which is known as zwitterions

Ability to act as buffer
- AA are amphoteric as they exist as zwitterions in aqueous medium. They have both acidic and basic properties in aq solution.
- Acid added, an amino acid (+H3N–RCH–COO-) takes up a hydrogen ion (H+) and becomes +H3N–RCH–COOH, i.e. the carboxyl group accepts the hydrogen ion.
- Alkali added, an amino acid (+H3N–RCH–COO-) loses a hydrogen ion and becomes H2N–RCH–COO- i.e. the amine group loses a hydrogen ion which combines and neutralises the OH-.
- The presence of the free amine and carboxyl group confers the polypeptide the ability to buffer solutions, (although not to as great an extent as free amino acids.) The R groups of some amino acids are able to ionise as well, thus conferring additional buffering capacity on the polypeptide.
- The property of buffering solutions is essential in biological systems, where small changes in pH can affect the functioning of enzymes and other proteins.

20
Q

Classification of AAs based on chemical properties of their R groups

A
  1. NON-POLAR amino acids (Hydrophobic),
    9/20 AAs, are hydrocarbon in nature; unreactive, tend to become localised in the interior.
  2. POLAR amino acids (Hydrophilic)
    6/20 AAs, no overall net charge
  3. ACIDIC amino acids: (Hydrophilic)
    - have a net negative charge when ionised in water, owing to the presence of a carboxyl group in the R group.
  4. BASIC amino acids (hydrophilic)
    - have a net positive charge when ionised in water, owing to the presence of an amine group in the R group
21
Q

Proteins definition

A

Proteins are molecules made up of one or more polypeptide chains that has attained a stable, specific 3D conformation and is biologically functional

22
Q

Bonds present in primary structure, secondary, tertiary and quaternary structure.

A

Primary structure: Peptide bonds formed between the amine group (–NH2) of one amino acid and the carboxyl group (–COOH) of another.

Secondary structure: Hydrogen bonds formed between the O atom of the C=O group of one amino acid residue and the H atom or the N-H group of another amino acid residue of the polypeptide backbone.

Tertiary and quaternary structure:
- Ionic bonds
- Hydrogen bonds
- Hydrophobic interactions
- Disulfide bonds between R groups of different protein subunits.
BETWEEN AMINO ACID R GROUPS

23
Q

Alpha-helix

A

Shape: extended spiral spring

Nature of bonds:
- Stabilised by intrachain (within the same polypeptide chain) hydrogen bonds. The hydrogen bond is formed between the O atom of the C=O group of an amino acid residue (nth) and the H atom of the N-H group of another amino acid that is situated four amino acid residues (nth + 4 residue) ahead in the linear
sequence.

  • hydrogen bonds formed are parallel to the main axis of the helix + all C=O and N-H groups of the peptide backbone can participate in hydrogen bonding to bring maximum stability to the α-helix.
  • The α-helix makes one complete turn for every 3.6 amino acids.
  • The R groups of the amino acid residues project outside the helix, perpendicular to the main axis. -> helps to prevent steric interference with the polypeptide backbone and with each other.
  • Proline and hydroxyproline insert a kink and disrupt the formation of the α-helix.
  • Amino acids with bulky R groups, e.g. tryptophan, if present in large numbers can also interfere with the formation of the α-helix.

Examples of protein with predominantly alpha-helix structure: keratin

24
Q

Beta-pleated sheet

A

Shape: extended zigzag, sheet-like conformation

Nature of bonds: - stabilised by intrachain or inter chain hydrogen bonds, which occur between C=O and N-H groups of the polypeptide backbone within the same polypeptide chain or between C=O and N-H groups of neighbouring polypeptide chains

Antiparallel beta-pleated sheet:
neighbouring hydrogen-bonded polypeptide segments run in opposite N-terminus to C-terminus directions (they alternate)

Parallel beta-pleated sheet:
hydrogen-bonded segments run in the same N-terminus to C-terminus direction.

amino acid residues in a β-pleated sheet usually have small R groups as Amino acids with bulky R groups interfere with the formation of the β-pleated sheet by causing steric hindrance.

25
The 4 bonds
Disulfide bonds: covalent bonds, strong, formed by oxidation of the sulfhydryl groups (–SH) of any two cysteine residues in the same polypeptide chain (intrachain) or in different chains (interchain). Broken via reduction. Hydrogen bonds: non-covalent interactions, relatively weak, Formed between the N-H group of one amino acid and the C=O group of another amino acid. These hydrogen bonds DO NOT involve R groups. - While each hydrogen bond is weak, the large number of hydrogen bonds confer stability to the protein. - The hydrogen bonds at regular intervals along the polypeptide backbone gives rise to regular coiling and folding of regions of the polypeptide chain and thus gives rise to repeated patterns. Ionic bonds: non-covalent interactions, Oppositely charged R groups form ionic bonds, can be broken by changes in pH of surrounding medium Hydrophobic interactions: non-covalent interactions, Interactions occur between hydrophobic R groups of amino acid residues. The polypeptide folds so as to shield hydrophobic R groups from the aqueous environment.
26
When pH decreases (due to addition of acid) in an aqueous solution of Protein A, denaturation of Protein A was observed. Which bond is broken?
Ionic bonds. Ionic bonds are formed between negatively charged acidic side-chains (R-groups) and positively charged basic side chains (R-groups). When acid is added to the solution, the charge on the acidic side chains can be altered. This cause the ionic bond to be broken. If a sufficient number of ionic bonds maintaining a protein's tertiary structure are broken, this can cause denaturation of the protein.
27
Which of the following bonds are likely to be broken between the side chains (R-groups) of amino acid residues in albumin proteins when the temperature of the solution first increases to 40°C?
Hydrogen bonds, ionic bonds and hydrophobic interactions When there is increase in heat energy, the weak hydrophobic interactions, hydrogen bonds and ionic bonds maintaining the tertiary and quaternary (if present) structures of proteins are broken easily. This may cause unfolding of polypeptide chains and eventually protein denaturation.
28
Hb (Haemoglobin)’s levels of structure
Secondary structure: Each polypeptide chain consists of eight α-helices (named by letters A to H, starting from the N-terminus) connected by non-helical segments NOTE: NO BETA PLEATED SHEET INVOLVED Tertiary structure: Structure: - Each dimer is made out of two types of polypeptide chains (subunits): -> an α-chain, containing 141 amino acids -> a β-chain, containing 146 amino acids (They are called alpha and beta purely as names, no special meanings to them). - Each polypeptide chain is folded such that amino acid residues located at the surface of a subunit are generally hydrophilic while those buried in the interior of the molecule are mostly hydrophobic. Function: Haemoglobin is soluble in an aqueous medium and hence, a good transport protein for oxygen in blood. Structure: - Folding of the polypeptide chain also allows the formation of a hydrophobic cleft (a pocket on protein surface lined with hydrophobic amino acid residues) to allow for the haem prosthetic group to bind. Each haemoglobin molecule has 4 subunits, (2 alpha chains and 2 beta chains), each containing a haem prosthetic group. Function: Each haem group will bind to 1 molecule of O2. Therefore, each haemoglobin molecule will bind to 4 molecules of O2. Structure: Haem prosthetic group:** consists of an iron ion (Fe2+) held in a porphyrin ring. -> The porphyrin ring is mostly non-polar because it is made up of carbon and hydrogen. -> The hydrophobic side chains on the porphyrin ring help haem fit into the hydrophobic cleft of hemoglobin Function: The Fe2+ can combine reversibly with O2 and hence enhances the release of O2 in metabolically active tissues such as muscles. Structure: Haemoglobin is a globular protein and therefore has a compact structure Function: allows many haemoglobin molecules to be packed into a red blood cell to maximise the oxygen-carrying capacity of each red blood cell. As Fe2+ in the first haemoglobin subunit binds 1 molecule of O2, the F helix is pulled closer to the haem group -> creates a strain on the other haemoglobin subunits + previously obscured haem groups of the other subunits are revealed -> remaining subunits changed their 3D conformation slightly, allowing their respective haem groups to bind O2 more readily, i.e. the remaining subunits’ affinities for O2 molecules increases. Therefore, haemoglobin is known as an allosteric protein. This mechanism of oxygen binding is known as cooperativity / cooperative binding F helix: Contains the proximal histidine (His F8), which directly binds to the iron (Fe²⁺) in haem. Helps in oxygen binding by stabilizing the haem group within the hydrophobic cleft.
29
Hb structure and function
- Haemoglobin is a globular protein and therefore has a compact structure -> allows many haemoglobin molecules to be packed into a red blood cell to maximise the oxygen-carrying capacity of each red blood cell. - Each haemoglobin molecule has 4 subunits (2 α chains and 2 β chains), each with a haem prosthetic group attached. A haem group contains a porphyrin ring bound to an iron (II) ion (Fe2+). The Fe2+ ion of a haem group in each subunit binds one molecule of oxygen. -> Each haem prosthetic group is capable of binding to one oxygen molecule, thus each haemoglobin molecule can transport four molecules of oxygen - The four subunits (two alpha-chains and two beta-chains) of a haemoglobin molecule are held together by R group interactions, such as hydrophobic interactions and ionic bonds, allowing the binding of oxygen to the haem group of subunit. The tertiary structure of each polypeptide chain in haemoglobin can change to increase the affinity of each subunits to oxygen. Hence, haemoglobin molecule changes from a weak oxygen binding form to a strong oxygen binding form. -> This phenomenon is known as cooperative binding, for the effective loading and unloading of oxygen from the haemoglobin molecules. The haem group lies in a hydrophobic cleft of each haemoglobin subunit, lined with amino acid residues with hydrophobic R groups. -> Haem groups can be held in the clefts of haemoglobin subunits via hydrophobic interactions. The haem group is orientated such that its Fe2+ on one face is complexed to an amino acid residue, leaving the other face accessible to bind oxygen. -> This allows oxygen to efficiently bind to the haem groups within haemoglobin and allows haemoglobin to transport oxygen. For each subunit, most of its amino acid residues with hydrophilic R groups (acidic, basic and polar R groups) are on the external surface of its globular structure while amino acids residues with hydrophobic (non-polar) R groups are buried within. -> This ensures that haemoglobin is soluble in the aqueous medium of red blood cell cytoplasm and can be contained within red blood cells for oxygen transport.
30
Collagen structure and functions
- The repetitive amino acid sequence (glycine-X-Y) allows the tropocollagen polypeptide chain to adopt a regular helical structure -> The regular helical structure aids in the formation of hydrogen bonds between the polypeptide chains to form tropocollagen, resulting in high tensile strength (resistant to stretching), therefore collagen can provide structural support in connective tissues. - Every third amino acid of the tropocollagen polypeptide chain is glycine which has a small R group (hydrogen atom). -> This allows the three polypeptide chains of a tropocollagen molecule to be wound tightly together and form hydrogen bonds in the triple helix structure, increasing tensile strength of the tropocollagen molecule and allowing tropocollagen to provide structural support in connective tissues. - Numerous (inter-chain) hydrogen bonds are formed between the C=O and N-H groups of polypeptide chains when three polypeptide chains wind together to form a tropocollagen molecule. -> This increases the tensile strength of a tropocollagen molecule (resistant to stretching) and allows it to provide structural support in connective tissues. - Many tropocollagen molecules are organised in a parallel staggered arrangement in collagen fibrils. -> This minimises weak spots running through collagen fibrils. - Covalent crosslinks are formed between the C terminal of one tropocollagen molecule and the N terminal of an adjacent tropocollagen molecule. -> The numerous bonds in bundled tropocollagen molecules increase tensile strength (resistant to stretching) and allowing collagen to provide structural support in connective tissues. - Tropocollagen molecules bundle together to form collagen fibrils which then further bundle together to form collagen fibres. -> This gives collagen fibres high tensile strength (resistant to stretching) and allowing them to provide structural support in connective tissues. - Each tropocollagen polypeptide chain has about 1000 amino acid residues and is therefore a large molecule. Three polypeptide chains wind together to form a tropocollagen molecules. Each fibre is made up of a bundle of tropocollagen molecules. -> Hence, collagen is insoluble in water. - There are large number of hydrophobic R-groups (of proline and hydroxyproline residues) on the exterior surface of the tropocollagen triple helices. -> This ensures that tropocollagen is insoluble in water.
31
Denaturants and their effects
- Excessive heat increases vibrations of the atoms, leading to disruption of hydrogen bonds, ionic bonds and hydrophobic interactions. - pH: Changes the charges in the acidic and basic groups, leading to disruption of ionic bonds and hydrogen bond - organic solvents: Transfer of a protein from an aqueous environment to an organic solvent can disrupt hydrophobic interactions that make up the stable core of globular proteins. The protein turns inside out and the hydrophobic regions changes place with the hydrophilic regions. - urea detergents: Addition of chemicals can disrupt ionic and hydrogen bonds that maintains the protein’s conformation
32
Secondary structure
secondary structure: regular coiling and folding of regions of the polypeptide chain which give rise to repeated patterns