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estimate of size and these methods are sufficient. The third method, mass spectrometry,
requires expensive specialist instruments and can give accuracy to0.001%. This kind of
accuracy is invaluable in detecting postsynthetic modification of proteins.

SDS-polyacrylamide gel electrophoresis (SDS-PAGE)
This form of electrophoresis, described in Section 10.3.1, separates proteins on the
basis of their shape (size), which in turn relates to their relative molecular masses.
A series of proteins of known molecular mass (molecular weight markers) are run on a
gel on a track adjacent to the protein of unknown molecular mass. The distance each
marker protein moves through the gel is measured and a calibration curve of logMr
versus distance moved is plotted. The distance migrated by the protein of unknownMr
is also measured, and from the graph its logMr and henceMris calculated.
The method is suitable for proteins covering a largeMrrange (10 000–300 000). The
method is easy to perform and requires very little material. If silver staining
(Section 10.3.7) is used, as little as 1 ng of protein is required. In practice SDS–PAGE
is the most commonly used method for determining proteinMrvalues.

Molecular exclusion (gel filtration) chromatography
The elution volume of a protein from a molecular exclusion chromatography column
having an appropriate fractionation range is determined largely by the size of the
protein such that there is a logarithmic relationship between protein relative molecu-
lar mass and elution volume (Section 11.7.1). By calibrating the column with a range
of proteins of knownMr, theMrof a test protein can be calculated. The method is
carried out on HPLC columns ( 1 30 cm) packed with porous silica beads. Flow
rates are about 1 cm^3 min^1 , giving a run time of about 12 min, producing sharp, well-
resolved peaks. A linear calibration line is obtained by plotting a graph of logMr
versusKdfor the calibrating proteins.Kdis calculated from the following equation:

Kd¼

ðVeVoÞ
ðVtVoÞ

whereVois the volume in which molecules that are wholly excluded from the column
material emerge (the excluded volume),Vtis the volume in which small molecules
that can enter all the pores emerge (the included volume) andVeis the volume in
which the marker protein elutes. This method gives values that are accurate to10%.

Mass spectrometry
Using either electrospray ionisation (ESI) (Section 9.2.4) or matrix-assisted laser
desorption ionisation (MALDI) (Section 9.3.8) intact molecular ions can be produced
for proteins and hence their masses accurately measured by mass spectrometry. ESI
produces molecular ions from molecules with molecular masses up to and in excess of
100kDa, whereas MALDI produces ions from intact proteins up to and in excess of
200kDa. In either case, only low picomole quantities of protein are needed. For
example,ab 2 crystallin gave a molecular mass value (20 2000.9), in excellent agree-
ment with the deduced mass of 20 201. However, in addition about 10% of the analysed
material produced an ion of mass 20072.2. This showed that some of the purified
protein molecules had lost their N-terminal amino acid (lysine). The deduced mass with

329 8.4 Protein structure determination

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