Chapter 2

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Chapter 2

Strategies for Protein Separation

•A mammalian cell has 50,000-100,000 proteins

(including PTMs)

•Selective techniques isolate one (affinity)

• Non-selective techniques isolate large number/all

•Proteomics require isolation of proteins at high resolution (selective)

•Must be amenable to high throughput (HT)

1

Proteins can be isolated on the grounds of the following properties:

•Mass/density (hydrodynamic)

•Size (gel filtration)

•pI (pI precipitation of IEF)

•Charge (Ion-exchange)

•Solubility (acetone of ammoniumsulfate ppt)

•Structure (affinity)

Proteins differ by size

myosin insulin ( ββββ -chain) myoglobin

2

Proteins have different shapes

Gal4 homodimer

Human insulin ( ββββ -chain)

Proteins have charges

Ribbon Electrostatic surface

3

Molecular movement in an electric field

+

-

+

ν =

Eq f

• ν Is velocity of the molecule

•E is electeric field strength (volts/cm

•q is net charge on molecule

•f is frictional coefficient

-

Aliphatic amino acids (VAGLIP)

Glycine, Gly, G no charge

Hydrophobicity = 0.67

MW 57Da pK a pK a

COOH = 2.35

NH

2 pI=5.97

= 9.6

Alanine, Ala, A no charge

Hydrophobicity = 1.0

MW 71Da pK a pK a

COOH = 2.34

NH

2 pI = 6.01

= 9.69

Valine, Val, V no charge

Hydrophobicity = 2.3

MW 99Da pK a pK a

COOH = 2.32

NH

2 pI = 5.97

= 9.62

Leucine, Leu, L no charge

Hydrophobicity = 2.2

MW 113Da pK a pK a

COOH = 2.36

NH

2 pI = 5.98

= 9.60

Isoleucine, Ile, I no charge

Hydrophobicity = 3.1

MW 113Da pK a pK a

COOH = 2.36

NH

2 pI = 6.02

= 9.68

Proline, Pro, P no charge

Hydrophobicity = -0.29

MW 97Da pK a pK a

COOH = 1.99

NH

2 pI = 6.48

= 10.96

4

Aromatic amino acids (FYW)

Phenylalanine, Phe, F no charge

Hydrophobicity = 2.5

Absorbs UV

MW 147Da pK pK a a

COOH = 1.83

NH pI=5.48

2

= 9.13

Tyrosine, Tyr, Y weak charge

Hydrophobicity = 0.08

Absorbs UV

MW 163Da pK pK a a

COOH = 2.20

NH pI=5.66

2

= 9.11

Tryptophan, Trp, W no charge

Hydrophobicity = 1.5

Absorbs UV

MW 186Da pK pK a a

COOH = 2.38

NH pI=5.89

2

= 9.39

Polar but uncharged (SNQT)

Serine, Ser, S no charge

Hydrophobicity = -1.1

MW 87Da pK pK a a

COOH = 2.21

NH

2 pI = 5.68

= 9.15

Threonine, Thr, T no charge

Hydrophobicity = -0.75

MW 101Da pK pK a a

COOH = 2.11

NH

2 pI = 5.87

= 9.62

Asparagine, Asn, N no charge

Hydrophobicity = -2.7

MW 114Da pK a pK a

COOH = 2.02

NH

2 pI = 5.41

= 8.08

Glutamine, Gln, Q no charge

Hydrophobicity = -2.9

MW 128Da pK a pK a

COOH = 2.17

NH

2 pI = 5.65

= 9.13

5

Sulphur containing (CM)

Cysteine, Cys, C weak charge

Hydrophobicity = 0.17

MW 103Da pK a pK a

COOH = 1.96

NH

2 pI = 5.07

= 8.18

Methionine, Met, M no charge

Hydrophobicity = 1.1

MW 131Da pK a pK a

COOH = 2.28

NH

2 pI = 5.74

= 9.21

Acidic

Charged (DEHKR)

Aspartic acid, Asp, D negative charge

Hydrophobicity = -3.0

MW 115Da pK pK a

COOH = 2.19

a

NH

2 pI = 2.77

= 9.60

Glutamic acid, Glu, E negative charge

Hydrophobicity = -2.6

MW 129Da pK pK a

COOH = 2.19

a

NH

2 pI = 3.22

= 9.67

Basic

Histidine, His, H

Weak positive charge

Hydrophobicity = -1.7

MW 137Da pK a pK a

COOH = 1.82

NH

2 pI = 7.59

= 9.17

Lysine, Lys, K positive charge

Hydrophobicity = -4.6

MW 128Da pK a pK a

COOH = 2.18

NH

2 pI = 9.47

= 8.95

Arginine, Arg, R positive charge

Hydrophobicity = -7.5

MW 156Da pK a pK a

COOH = 2.17

NH

2

= 9.04

pI = 10.76

6

A.A.

F

G

H

I

K

A

C

D

E

P

Q

R

S

T

V

L

M

N

W

Y

Amino acid pK a values

Carboxylic acid

2.3

1.8

2.0

2.4

2.3

2.0

2.0

2.2

1.8

2.1

2.6

2.3

2.4

2.2

1.8

2.4

1.8

2.4

2.2

Amine

9.9

10.8

10.0

9.6

9.2

8.8

10.6

9.1

9.0

9.2

9.1

9.8

9.2

9.7

9.2

10.4

9.6

9.4

9.1

Side Chain

-

8.6

4.5

-

-

-

9.8

-

12.5

-

-

-

-

-

-

-

6.8

-

11.1

The Henderson-Hasselbalch equation

(1) HA H + + A -

= [H + ][A -

[H+] = K a

[HA]/[A ]

- log[H + ] = - logK a

- log[HA]/[A ] pH = pK a

+ log[A ]/[HA] pH = pK a

+ log(R) pH - pK a

= log(R)

10 (pH - pKa) = R

(3)

(4)

(5)

(6)

(7)

(8)

7

Acid and base fractions in a titration

(1) [A ]/[HA] = R

-

A

T

= [A ] + [HA]

Substitute eq. 2 in eq. 3

A

T

= [HA]R + [HA]

= [HA](1 + R)

[HA] = A

T

(1 + R)

Substitute rearranged eq. 2 in eq. 6

[A ] = A

T

R

(1 + R)

(3)

(4)

(5)

(6)

(7)

How to calculate the charge of an amino acid at a given pH value

•Lets choose K

•and lets choose pH 7.2

•K has three dissociable groups that can contribute to the charge:

•an α -NH

2

, an α -COOH and an ε -NH

2 group

•The pKa values of the three groups are 9.2, 2.2 and 11.1

10 (pH-pKa) = R

Lets start with the amine:

∴ 10 (7.2-9.2) = 10 -2

Since the in the HA species

[HA] = A

T

α –NH

(1/(1+R))

Assume A

T

= 1

∴ [HA] = 1/(1+ 10 -2 ) = 1/1.01 = 0.99

+

Thus the α –NH

2 is almost fully protonated at pH 7.2, and will contribute a charge of

+0.99 to the amino acid

8

How to calculate the charge of an amino acid at a given pH value continued…

•Lets look at the α –COOH next

•The pKa value of the –COOH is 2.2

10 (pH-pKa) = R

∴ 10 (7.2-2.2) = 10 5

The dissociated –COO- is the charged species

We are therefore interested in the A- species and not the HA

[A ] = A

T

(R/(1+R))

Assume A

= 1

∴ [A ] = 10 5 /(1+ 10 5 ) = 100,000/100,001 = 0.999

Thus the α COOH is almost fully deprotonated at pH 7.2, and will contribute a charge of -0.999 to the amino acid

How to calculate the charge of an amino acid at a given pH value continued…

•Lets look at the ε –NH

2 next

•The pKa value of the ε –NH

2 is 11.1

10 (pH-pKa) = R

∴ 10 (7.2-11.1) = 10 -3.9

The protonated

[HA ] = A

T

ε –NH

3

+ is the charged species

We are therefore interested in the HA species and not the A -

Assume A

(1/(1+R))

T

= 1

[HA] = 1/(1+ 10

Thus the ε –NH

-3.9

) = 1/1.0001259 = 0.999

2 is almost fully protonated at pH 7.2, and will contribute a charge of

+0.999 to the amino acid

The net charge of lysine at pH7.2 is therefore the sum of the three charges:

α -NH

2

+ α -COOH + ε –NH

2

+ 0.99 - 0.999 + 0.999 = + 0.99

9

Charge versus solution pH of cysteine

1. Calculate R for each dissociable group

2. Calculate [A ] or [HA]

3. Calculate fractional charge pH

R

1.7

COOH

[A-] charge

R

8.3

SH

[A-] charge

R

10.8

0 0.019952623 0.019562304 -0.019562304

5.01187E-09 5.01187E-09 -5.01187E-09 1.58489E-11

NH2

[HA] charge

Total charge

1 0.199526231 0.166337531 -0.166337531

5.01187E-08 5.01187E-08 -5.01187E-08 1.58489E-10

1

1

2 1.995262315 0.666139425 -0.666139425

5.01187E-07 5.01187E-07 -5.01187E-07 1.58489E-09 0.999999998 0.999999998

1 0.980437691

1 0.833662419

0.333860073

3 19.95262315 0.952273279 -0.952273279

5.01187E-06 5.01185E-06 -5.01185E-06 1.58489E-08 0.999999984 0.999999984

4 199.5262315 0.995013121 -0.995013121

5.01187E-05 5.01162E-05 -5.01162E-05 1.58489E-07 0.999999842 0.999999842

0.047721693

0.004936604

5 1995.262315 0.999499064 -0.999499064

0.000501187

0.000500936

-0.000500936

1.58489E-06 0.999998415 0.999998415

-1.58489E-06

6 19952.62315 0.999949884 -0.999949884

0.005011872

0.004986879

-0.004986879

1.58489E-05 0.999984151 0.999984151 -0.004952611

7 199526.2315 0.999994988 -0.999994988

0.050118723

0.047726721

-0.047726721

0.000158489 0.999841536 0.999841536 -0.047880173

8

9 19952623.15

10 199526231.5 0.999999995 -0.999999995

50.11872336

0.980437696

-0.980437696

0.158489319 0.863193111 0.863193111

13

14

1995262.315 0.999999499 -0.999999499

12 19952623150

1.99526E+11

1.99526E+12

0.99999995

1

1

-0.99999995

-1

0.501187234

5.011872336

5011.872336

0.333860575

0.833662469

0.999800514

-0.333860575

-0.833662469

-0.999800514

0.001584893 0.998417615 0.998417615

11 1995262315 0.999999999 -0.999999999

501.1872336

0.998008711

-0.998008711

1.584893192

0.38686318

0.38686318

15.84893192 0.059350943 0.059350943

-0.33544246

0.015848932 0.984398338 0.984398338 -0.849264081

-1.11724458

-1.61114553

-1.94044957

-1 50118.72336

0.999980048

-0.999980048

158.4893192 0.006270012 0.006270012 -1.993710035

-1 501187.2336

0.999998005

-0.999998005

1584.893192 0.000630559 0.000630559 -1.999367445

!

"

Titration curve of cysteine

1.0

0.5

0.0

-0.5

-1.0

-1.5

-2.0

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 p H

10

Calculate the p H versus charge for a peptide

The peptide DKG pKa = 9.8

H O

H

3

N +

CH

2

COO pKa = 3.9

H

H O

CH

2

CH

2

CH

2

CH

2

NH

3

+

H

C

α

O

C

H CH

3

O pKa = 2.4

pKa = 10.5

Charge versus solution pH of peptide DKG

pH

N terminus pKa = 9.8

Aspartic acid R-group

Pka=3.9

Lysine R-group pKa=10.5

C terminus pKa=2.9

Total charge

0

R

1 1

R

0.000125877 -0.000125877

1 0.999999998 0.999999998 0.001257343 -0.001257343

R

1 1

1

R

0.001257343 -0.001257343 0.998616781

1 0.012432735 -0.012432735 0.986309922

2 0.999999984 0.999999984 0.012432735 -0.012432735 0.999999997 0.999999997

0.11181577

-0.11181577

0.875751492

3 0.999999842 0.999999842

0.11181577

-0.11181577

0.999999968 0.999999968 0.557311634 -0.557311634 0.330872565

4 0.999998415 0.999998415 0.557311634 -0.557311634 0.999999684 0.999999684 0.926412444 -0.926412444 -0.483724394

5 0.999984151 0.999984151 0.926412444 -0.926412444 0.999996838 0.999996838 0.992119316 -0.992119316 -0.918534922

6 0.999841536 0.999841536 0.992119316 -0.992119316 0.999968378 0.999968378 0.999206302 -0.999206302

-0.99135724

7 0.998417615 0.998417615 0.999206302 -0.999206302 0.999683872 0.999683872 0.999920573 -0.999920573 -0.999443004

8 0.984398338 0.984398338 0.999920573 -0.999920573 0.996847691 0.996847691 0.999992057 -0.999992057 -1.003064939

9 0.863193111 0.863193111 0.999992057 -0.999992057

0.96934657

0.96934657

0.999999206 -0.999999206 -1.030644692

10 0.38686318

0.38686318

0.999999206 -0.999999206 0.759746927 0.759746927 0.999999921 -0.999999921

-1.2402522

11 0.059350943 0.059350943 0.999999921 -0.999999921 0.240253073 0.240253073 0.999999992 -0.999999992 -1.759746839

12 0.006270012 0.006270012 0.999999992 -0.999999992

0.03065343

0.03065343

0.999999999 -0.999999999 -1.969346561

13 0.000630559 0.000630559 0.999999999 -0.999999999 0.003152309 0.003152309

14 6.30918E-05 6.30918E-05 1 -1 0.000316128 0.000316128

1

1

-1

-1

-1.99684769

-1.999683872

You can also use the program “What charge?” to calculate charge versus pH curves of any amino acid, peptide or protein, based on the entered sequence. You can download the program from http://www.uovs.ac.za/faculties/documents/04/112/Software/11476-what_charge.zip

11

Titration curve of peptide DKG

1.0

0.0

-0.5

-1.0

-1.5

-2.0

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 p H

SDS Page electrophoresis

-

- -

- -

-

-

-

SDS

- - -

-

-

-

protein

•Sodium dodecylsulfate (SDS)

•Amphipatic molecule

•0.1% SDS gives one SDS molecule per 2 amino acid residues

•Thus charge per unit length of all proteins are the same

• Proteins of the same size will have the same charge

•Proteins separated mainly by size

•Very basic proteins such as histones behave anomalously

12

Vertical slab gel apparatus

Polyacrylamide percentage

•The composition of polyacrylamide gels is expressed as:

•%T grams acrylamide plus gram bis-acrylamide per 100ml solution

•%C grams bisacrylamide per 100ml solution

•Typical gels %T range from 3% to 20%

•%C from 3 to 6%

•The higher the acrylamide percentage, the smaller the gel pores

•The higher the bis-acrylamide percentage, the samller the gel pores

•Larger molecules cannot migrate through small gel pores

•Percentage acrylamide has range within which molecules can be separated

•3% gels for protein of 1000kDa

•20% gels for proteins of 10kDa

•Polyacrylamide gel electrophoresis = PAGE

13

glycine protein

Cl -

Discontinuous SDS-PAGE

Stacking gel

3%T pH 6.8

Running gel

8-16%T pH8.8

•Sample buffer is

•glycine

•Cl

•and protein

•When glycine enters the gel, at pH6.8 it is a zwitterion

•To maintain current, the Cl and proteins migrate

•The pores are very large, so the proteins can move fast

•The glycine follows

•This tends to concentrate the proteins in thin bands before they strike the running gel, where separation occurs

•The glycine becomes charged in the running gel, and carries current with Cl -

Iso-electric focussing (IEF)

•Proteins separated in pH gradient formed by ampholytes

•Where protein is at pH below pI, it is (+)-charged, and move towards anode

•Where protein is at pH above pI, it is (-)-charged and moved towards cathode

•At pH = pI, protein has no net charge, and is immobile

•Proteins migrate to a pH region where they have no net charge

•Proteins separated in terms of pI

•Ampholytes poured into gel before setting

•Buy pre-fabricated Immobilised pH gradient (IPG) strips

•Wide range (pH3-10) or narrow range (pH8-9) strips

14

Two-dimensional gel electrophoresis (2DGE)

Run IEF in the first dimension and SDS-PAGE in the second dimension

1 st dimension

Resolved by pI

SDS-PAGE

Example of a 2D Gel

240 µ g of E. coli 2DGE, pH range 4 – 7, mass range 10 – 120kDa.

15

Resolution of 2DGE

More proteins in proteome than can be resolved by standard 2DGE system

Use 30cmX30cm gels (resolve 10 spots)

Run multiple IEF strips at overlapping or adjacent pH ranges pH 3-12 pH 5-6

Sensitivity of 2DGE

•Proteins levels differ by 10 5 -10 9 in a cell

•Superabundant proteins are present at 1,000,000 copies per cell

•Abundant proteins are present at 100,000 copies per cell

•Rare at proteins are present at 1000 copies per cell

•Thus, very rare proteins may not be visible on 2DGE gels

•Very abundant proteins may obscure less abundant proteins

•Solve sensitivity by increasing resolution

•Narrow range IPGs

•Prefractionation or affinity depletion

16

Spot-picker robot for 2DGE gels

An LC/MS/MS system

17

Protein solubility

Factors affecting protein solubility

δ +

+

+

+

+

δ -

+

+

+

+

+

+

-

+

-

•Most proteins are highly soluble under physiological conditions (0.15-0.2M salt and neutral pH)

•Solubility affected by:

•Polar interactions with solvent molecules

•Ionic interactions with the salt ions present

•Repulsive electrostatic repulsions between

•Like charges

•Small, heterogenous aggregates

+

+

+

+

-

+

-

-

+

+

+

+

+

+

+

+

+

+

+

+

+

-

+

-

-

-

-

-

-

-

-

-

-

-

-

-

-

+

+

-

+

+

+

+

+

-

-

+

+

+

18

Iso-electric precipitation

+

+

+ pH < pI

-

+

+

+

+

-

-

•Repulsion

+

+

pH pI

+

+

+

-

-

+

+

-

-

+ -

+

-

-

-

•Little repulsion

•Hydrophobic interaction predominates

•Also electrostatic attraction between opposite charges

•A protein is least soluble close to its pI

-

+

pH > pI

-

-

-

-

+

-

-

-

-

•Repulsion

-

-

+

“Salting in” proteins

Attracting electrostatic charges

-

+

+

+ -

+

-

+

-

+

+

+

-

-

-

+

+

-

-

+ salt

+ -

+

-

+

-

+

+

-

+

-

-

-

+

+

+ +

+

-

-

+

+

-

-

+ -

+

+

-

-

-

Ions screen electrostatic charge

Attractive forces weaken

+

19

“Salting out” proteins

+

+ -

+

-

+

-

-

+ salt + -

+

-

+

+

-

+

+

+

+

-

+

-

-

-

-

+

-

-

Water molecules ordered next to exposed hydrophobic patches

Ions compete for water molecules

Hydrophobic patches exposed

Aggregation results

Hydrophobic association minimizes water molecule order

Ring of ordered water molecules

Hydrophobic droplet

•Volume of sphere = 4 π r 3 /3

•Surface of sphere = 4 π r 2

•1ml sphere has surface area of 4.8cm

2

•2 spheres of 1ml will have combined area of 9.6mm

•If the two droplets fuse, the combined volume is 2ml

2 •The total surface area of the 2ml droplet is 7.7cm

∴ if the two droplets fuse, the surface area will be less the number of water molecules that must be highly ordered is less the number of disordered water molecules increase increase in entropy

20

Increased temperature increases hydrophobic association

More disordered water molecules

• •

• ∆ G = ∆ H - T ∆ S

∆ S is the change in entropy (order)

•Change from order to disorder gives a positive ∆ S, and ∴ a ∆ G

•Processes where ∆ G < 0 (i.e., negative) occur spontaneously

•At higher temperature, the disorder in the free water molecules increase

∴ transfer of a water molecule from the ordered environment next to the hydrophobic droplet to the disordered state, will have a larger ∆ S component

•Thus, it becomes very favourable to fuse the droplets at higher temperatures

Increased salt increases hydrophobic association

Na +

Cl -

Cl -

Cl -

Na +

Cl -

Na +

Na +

Cl -

More disordered water molecules

•At higher salt concentrations, weak interactions between the dis ordered water molecules are further disrupted, i.e., the molecules become even less ordered

•transfer of a water molecule from the ordered environment next to the hydrophobic droplet to the disordered state, will have a larger ∆ S component at higher salt

•it becomes very favourable to fuse the droplets at higher salt concentrations

21

The Hofmeister series

Salting out described by: log

10

(solubility) = A – m (salt concentration)

A = constant that depends on pH and temperature m = independent of pH and temperature

•Salt must not interact with protein (chaotropic)

•Protein aggregation increases with increase in temperature

•Anions with decreasing tendency to salt out lysozyme:

•phosphate > sulphate > acetate > Cl > Br > nitrate > perchlorate

•Cations with decreasing tendency to salt out lysozyme:

• ammonium > K + > Na +

• This series is known as the Hofmeister series

Finding the best salting out protocol for your protein

% Saturation

0-40

% Enzyme precipitated

4

% Protein precipitated

25

Purification factor

First trial

60-80 32

80 supernatant 2

32

21

Conclusion: Enzyme precipitated more in 40-60 than 60-80; try 45-70

Second trial 0-45 6 32

45-70 90

70 supernatant 4

38

30

Conclusion: Good recovery, but poorer purification; try 48-65

Third trial 0-48 10 35

48-65 75

65 supernatant 15

25

40

1.0

2.4

3.0

22

Effect of organic solvents on protein solubility

•Organic solvents decrease dielectric constant of solvent

•Displaces water molecules from and solvates hydrophobic patches

+

+ -

+

-

+

+

+

-

-

+

-

-

-

soluble

+

-

-

+ organic solvent

-

-

•Solvent displaced water molecules from hydrophobic patches

•Increase in hydrophobic interaction

•Also evidence of electrostatic attraction

•Aggregation

Solvents used to precipitate proteins

•Ethanol

•Acetone

•Methanol

• i -propanol

• n -propanol

•Dioxan

• 2 -methoxyethanol

•Precipitation must be performed below 10°C, otherwise proteins denature

•Some organic polymers such as polyethylene glycol

(PEG) acts like organic solvents, but are effective at much lower concentrations

23

Organic solvents and elevated temperatures

Increasing temperature

Internal hydrophobic interactions stabilizes protein

•Elevated temperature causes increased molecular vibration

•This allows organic solvent molecules to interact with internal hydrophobic regions

•Internal hydrophobic interactions become disrupted

Protein unfolds and denatures

Gel filtration chromatography

24

Stationary phase

Molecules are separated by size

Sample of 3 different sized molecules

(Stokes radius)

Excluded

Partially included

Totally included

Mobile phase

Elution profile

Time

Parameters of a gel filtration run

V o

V e

V t t

V > V t t

???

V t

= V o

+ V i

For a column, V o

= 2,000,000)

V and is difficult to measure

V i i can be determined by eluting blue dextran (M is internal volume plus particle volume (inaccessible to all), can be calculated from V t

-V o

Excluded molecules elute at V o r

Molecules that have access to full V

What if elution volume V e

> V t i elute at V t

? Inert stationary phase?

25

Partition coefficient

The partition coefficient (K d

) for a molecule is given by

Total volume accessible to molecule

V e

- V o

V t

- V o

Total internal volume

•If K

•If K

•If K

•K d d d

= 1, molecule has full access

> 1, there is adsorption to the column matrix is not the “true” partition coefficient, since V includes gel particle volume i

Resolution

V e1

V e2

W

1

W

2

W

1

+ W

2

∴ The difference in elution volume divided by the average peak width, W

If R = 1, we have baseline resolution

26

Theoretical plates

•A chromatographic column can be thought of as a number of independent partition “cells”

•Each such partition cell is known as a “theorical plate”

•Column resolution depends on the number of theorical plates (N) on the column

5.55 V e

2

W 2

•Where W is peak width, and V e is the elution volume

Height equivalent of a theoretical plate

•The height equivalent of a theoretical plate (HETP) is given by the column length divided by the number of theoretical plates (N)

• HETP =

=

L

N

LW 2

5.55 V e

2

•Where L is the column height, W is peak width, and V elution volume is the

27

Van Deemter equation

•The theoretical plate height is related to the elution speed of the mobile phase

•H is a function of

•A, diffusion of the molecule: the longer the molecule is on the column, the more it will diffuse

•B, non-equilibrium, the longer partitioning between the stationary and mobile phase takes, the higher the plate height

•C, column effects, including packing quality, particle

υ

υ + C

Finding the optimum flow rate

van Deemter relation

5

4

A (diffusion)

B (non-equilibrium)

C (column quality)

A+B+C terms

3

2 Optimum flow rate

1

0

0 5 10

Elution rate ( ν )

15 20

•A = 4, B = 0.2, C = 1

•As flow rate increases

•Effect of diffusion decreases

•Effect of non-equilibrium increases

•Optimum flow rate (arrow) minimizes these two terms

28

Gel matrices

Trade name

Sephadex

Supplier

Pharmacia

Sephacryl

Polyacrylamide

(Bio-Gel P)

Sepharose

Bio-Gel A

Ultragel

Pharmacia

Bio-Rad

Pharmacia

Bio-Rad

Composition

Cross-linked dextran

Comment

Cannot be manufactured with exclusion limit > 600,000Da

(particle not rigid, and collapses)

N,N’methylenebisacrylamide cross-linked dextran

N,N’methylenebisacrylamide cross-linked acrylamide

Agarose

Higher exclusion limits than

Sephadex

Similar to Sephadex

Very high exclusion limits

Combined polyacrylamide-agarose gels

Higher flow-rates than agarose

Gel matrix has optimum ~linear range

V i poor good

Log

10

(M r

) poor

29

Ion-exchange chromatography

Proteins have charges

Ribbon Electrostatic surface

30

Acidic

Charged (DEHKR)

Aspartic acid, Asp, D negative charge

Hydrophobicity = -3.0

MW 115Da pK pK a

COOH = 2.19

a

NH

2 pI = 2.77

= 9.60

Glutamic acid, Glu, E negative charge

Hydrophobicity = -2.6

MW 129Da pK pK a

COOH = 2.19

a

NH

2 pI = 3.22

= 9.67

Basic

Histidine, His, H

Weak positive charge

Hydrophobicity = -1.7

MW 137Da pK a pK a

COOH = 1.82

NH

2 pI = 7.59

= 9.17

Lysine, Lys, K positive charge

Hydrophobicity = -4.6

MW 128Da pK a pK a

COOH = 2.18

NH

2 pI = 9.47

= 8.95

Arginine, Arg, R positive charge

Hydrophobicity = -7.5

MW 156Da pK a pK a

COOH = 2.17

NH

2

= 9.04

pI = 10.76

The charge of protein depends on pK

a

31

Principle of ion-exchange

•IEX separates proteins on the basis of their net surface charge

•An ion-exchange (IEX) resin is a resin than is negatively or positively charged at a given pH

•Proteins with the opposite charge will bind to this resin

•Cation exchanger binds positively charged proteins

•Anion exchanger binds negative charged proteins

•Electrostatic attraction between charged protein z

1 charged group z

2

, is given by

F = z

1 z

2

Dr 2 and IEX resin

•The larger the (opposite) charges and the closer they are, the stronger the attraction

• Ion exchange columns are typically eluted by increasing the ionic strength (salt concentration) of the buffer

IEX bead matrices

Resin matrices are composed of different materials

•Cellulose

•Agarose

•Dextran

•Synthetic polymers

•Polyacrylamide

IEX matrices will also act as gel filtration media

32

Functional groups

+1

Q

Anion exchangers

0

S

CM

Cation exchangers

-1

8 9 10 pH

•DEAE (diethylaminoethyl) and CM (carboxymethyl) are weak exchangers

•Sulfonyl (S) and quaternary ammonium ions (Q) are strong exchangers

Strong and weak exchangers

Anion exchangers Strength

Quaternary ammonium strong

Diethylaminoethyl

Diethylaminopropyl weak weak

Functional group

3

-O-CH

2

-CH

2

-NH + -(CH

2

-CH

3

)

2

O-CH

2

-CHOH-CH

2

-NH + -(CH

2

-CH

3

)

2

Cation exchangers Functional group

Sulfopropyl (S)

Methyl sulfonate (SP)

Carboxymethyl (CM) strong strong weak

O-CH

2

-CHOH-CH

2

-O-CH

2

-CH

2

-CH

2

-SO

3

-

O-CH

2

-CHOH-CH

2

-O-CH

2

-CHOH-CH

2

-SO

3

-

-O-CH

2

-COO -

33

v

Cation exchangers

-

+

0 v

Anion exchangers pH v v v v v v

Affinity chromatography

34

Attachment of the ligand to the matrix

1. Activation of the matrix

2. Attachment of the ligand to the activated group

Many activated matrices are commercially available

• CNBr-activated agarose Sepharose 4B

• 6-aminohexanoic acid (CH)-agarose

• 1,6-diaminohexane (AH) agarose

• Carbonyldiimidazole (CDI)-agarose

• Epoxy-agarose

Attachment to CNBr-activated agarose

gel

OH

CNBr gel

O

O

C NH

NH

2

R

OH gel

O C

NH

2

+

NH R

35

C-myc

HA

VSV-G

HSV

V5

FLAG

Tagged recombinant proteins

Tag Sequence

EQKLISEEDL

YPYDVPDYA

YTDIEMNRLGK

QPELAPEDPED

GKPIPNPLLGLDST

DYKDDDDKG

VSV-G: vesicular stomatitis virus G protein

HSV: Herpes simplex virus

Immobilized metal affinity chromatography (IMAC)

•Based on the affinity of metal ion for basic amino acid residues

•Ions mostly used include Ni 2+ , Co 2+ , Cu 2+ , Zn 2+ and Fe 2+

•Metal ion is immobilized by partial coordination binding by IDA, NTA and TED and TED

• Affinity is caused by metal ion not being fully coordinated

•Solvent and buffer molecules coordinate weakly

•Basic amino acid residues such as histidine, tryptophan and cysteine coordinate much more strongly

•One can fuse a stretch of 6 contiguous histidine residues (6× his tag) to the C-terminal or N-terminal of a protein, and isolate the recombinant fusion protein on a Ni 2+ -agarose column

• Protein is eluted with

•imidazole (structural analog of histidine)

•elution buffer pH can be dropped to 6, where histidine is protonated and cannot bind coordinately to Ni 2+

36

Metal chelators used in IMAC

OH

CH N

CH

2

COO -

CH

2

COO -

Imido diacetic acid (IDA)

OH

CH

2

CH CH

2

CH

CH

2

COO -

N

CH

2

COO -

CH

2

COO -

Nitrilo triacetic acid (NTA)

OH

CH

2

CH CH

2

N

CH

2

CH

2

N

CH

2

COO -

CH

2

COO -

CH

2

COO -

Tris(carboxymethyl) ethylene diamine (TED)

Imidazole is structural analog of histidine

Histidine

C NH

CH2

HC NH

Imidazole

37

Tandem affinity purification (TAP)

•Although one-step IMAC yield pure protein, it is seldom homogenous

•TAP tag is based on having two tandem affinity tags in protein

•Most frequent is calmodulin binding protein (CBP) followed by protein A

•CBP binds to the protein calmodulin in the presence of Ca 2+

•Protein A binds to the F

C region of IgG immunoglobulins

•The CBP and protein A sequences are separated by a TEV protease site

(ENLYFQE)

•This sequence is cleaved by TEV protease

•The protein is first bound to Sepharose beads covered with IgG

•Adsorbed protein cleaved with TEV protease and eluted

•Binding to calmodulin column

•Elution with Ca 2+

•This allow two-step ultra-pure protein preparation

•Very mild conditions allows isolation of protein complexes

TAP tag purification scheme

IgG sepharose column

Ca 2+

38

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