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A=ε*c*l (13)<br />
where constant c <strong>in</strong> equation 13 is the molar concentration of prote<strong>in</strong>, A is absorbance A 280<br />
and l is path length <strong>in</strong> cm and<br />
ε, the ext<strong>in</strong>ction coefficient is a prote<strong>in</strong> characteristic quantify<strong>in</strong>g the total contribution of different chromophores present<br />
<strong>in</strong> the prote<strong>in</strong> (2). It is estimated as<br />
ε 280 (M -1 cm -1 )=#Trp*5500+#Tyr*1490+#Cys*125 (14)<br />
Concentration <strong>in</strong> mg/ml can be estimated as molar concentration divided by molecular weight of prote<strong>in</strong>.<br />
Conformational changes <strong>in</strong> prote<strong>in</strong>s due to structural perturbations or ligand b<strong>in</strong>d<strong>in</strong>g can be monitored us<strong>in</strong>g<br />
absorption spectroscopy by study<strong>in</strong>g changes <strong>in</strong> chromophore and consequently <strong>in</strong> spectroscopic properties of prote<strong>in</strong><br />
[63-65]. These changes <strong>in</strong> chromophore can arise either due to change <strong>in</strong> the chromophore environment as a consequence<br />
of conformational changes or can come from direct chemical <strong>in</strong>teractions of b<strong>in</strong>d<strong>in</strong>g molecule with chromophore. These<br />
differences can be quantitatively studied by measur<strong>in</strong>g the change <strong>in</strong> absorbance (ΔA) or what is called ‘difference spectrum’.<br />
Difference spectra are depicted by plott<strong>in</strong>g differences <strong>in</strong> absorbance of the prote<strong>in</strong> molecule under study <strong>in</strong> two conditions;<br />
native condition and one <strong>in</strong> which the difference is <strong>in</strong>tended to study.<br />
In addition to utilization of <strong>in</strong>tr<strong>in</strong>sic spectral properties <strong>in</strong> study<strong>in</strong>g prote<strong>in</strong>s, external spectroscopic probes can also be<br />
used to ascerta<strong>in</strong> prote<strong>in</strong> characteristics. An example of one such probe is 5, 5’ dithio-bis-(2-nitrobenzoic acid) [DTNB]<br />
which is used to measure number of free cyste<strong>in</strong>e sulfhydryl groups <strong>in</strong> a prote<strong>in</strong> [66,67]. DTNB undergoes a significant<br />
change <strong>in</strong> its absorbance spectrum on form<strong>in</strong>g a disulfide bond and this ability to form disulfide bonds with concomitant<br />
change <strong>in</strong> spectral property is exploited <strong>in</strong> explor<strong>in</strong>g prote<strong>in</strong> composition. Similarly other probes can be used to monitor<br />
changes <strong>in</strong> regions of prote<strong>in</strong> that are <strong>in</strong> close proximity to probe b<strong>in</strong>d<strong>in</strong>g site.<br />
Circular Dichroism<br />
Circular Dichroism (CD) <strong>in</strong>volves study<strong>in</strong>g optical properties, the pr<strong>in</strong>ciples of which are based <strong>in</strong> molecular asymmetry<br />
or chilarity <strong>in</strong> the prote<strong>in</strong> molecules. Asymmetry or chilarity <strong>in</strong> prote<strong>in</strong> molecules means their structures and their mirror<br />
images are non-superimposable and this asymmetry becomes observable when plane polarized light passes through<br />
prote<strong>in</strong> solution. Plane polarized light is composed of two circularly polarized components of equal magnitude; a counter<br />
clockwise rotat<strong>in</strong>g component called left-handed or L component and clockwise rotat<strong>in</strong>g component called right-handed<br />
or R component. An optically active solution like those of prote<strong>in</strong>s will differently absorb this left and right circularly<br />
polarized light [2,68-72]. This difference can be expressed by Beer-Lambert law as:<br />
ΔA=A L<br />
-A R<br />
=ε L<br />
*l*C- ε R<br />
*l*C= Δε*l*C (15)<br />
This difference <strong>in</strong> absorption results <strong>in</strong> production of elliptically polarized true light with angle ψ and is represented as<br />
ellipticity, θ. Data from CD spectroscopy experiments is presented either <strong>in</strong> terms of ellipticity [θ] (degrees) or differential<br />
absorbance ΔA. The mean residue ellipticity ([θ]mrw,λ) at wavelength λ, is given by:<br />
[ θ ]<br />
λ<br />
[ θ ]<br />
mrw,<br />
λ<br />
= MRW * (16)<br />
10* d * c<br />
where [θ] λ<br />
is the observed ellipticity (degrees) at wavelength λ, d is the path length (cm), and c is the concentration (mg/<br />
ml). The Mean Residue Weight (MRW) for prote<strong>in</strong> (<strong>in</strong> reality peptide bond) is calculated from MRW=M/(N-1), where M<br />
is the molecular mass of Prote<strong>in</strong> (<strong>in</strong> Da), and N is the number of am<strong>in</strong>o acids; the number of peptide bonds is N-1. For<br />
most am<strong>in</strong>o acids the MRW is 110±5 Da. If molar concentration of prote<strong>in</strong> is known, the molar ellipticity ([θ] molar,λ<br />
) at<br />
wavelength λ is given by:<br />
100*[ θ ]<br />
λ<br />
[ θ ]<br />
, λ<br />
=<br />
(17)<br />
molar<br />
m*<br />
d<br />
The units of mean residue ellipticity and molar ellipticity are deg cm 2 dmol -1 . When data is obta<strong>in</strong>ed <strong>in</strong> absorption units,<br />
results are expressed <strong>in</strong> ‘molar differential ext<strong>in</strong>ction coefficient’ Δε. If the observed difference <strong>in</strong> absorbance at a certa<strong>in</strong><br />
wavelength of a solution of concentration m <strong>in</strong> a cell of path length d (cm) is ΔA, then Δε is given by:<br />
∆A<br />
∆ ε =<br />
(18)<br />
m*<br />
d<br />
The units of molar differential ext<strong>in</strong>ction coefficient are M -1 cm -1 . There is a simple numerical relationship between [θ]<br />
and Δε namely [θ] =3298 Δε.<br />
mrw mrw<br />
Application: The major center of asymmetry present <strong>in</strong> prote<strong>in</strong>s is the amide group formed by <strong>in</strong>teraction between<br />
two am<strong>in</strong>o acids. Further contribution to the optical activity of prote<strong>in</strong>s comes from their ability to form well def<strong>in</strong>ed<br />
super asymmetric secondary structural elements like α-helices, β-sheets and β-turns. These secondary structural elements<br />
have dist<strong>in</strong>ctive CD spectra which <strong>in</strong> turn contribute to characteristic CD spectra of <strong>in</strong>dividual prote<strong>in</strong>s, depend<strong>in</strong>g on the<br />
relative contribution of structural elements towards overall structure of the prote<strong>in</strong>. Consequently CD spectroscopy has<br />
been used as a tool to study structural composition of prote<strong>in</strong>s. CD spectroscopy has found all the more important role<br />
<strong>in</strong> study<strong>in</strong>g changes <strong>in</strong> prote<strong>in</strong> structure and conformation <strong>in</strong> response to ligand b<strong>in</strong>d<strong>in</strong>g or <strong>in</strong> response to presence of<br />
structural perturbants like temperature and denatur<strong>in</strong>g agents.<br />
Secondary structure composition of prote<strong>in</strong>s by CD spectroscopy has been studied exploit<strong>in</strong>g the asymmetry generated<br />
by peptide bond. This is accomplished by utiliz<strong>in</strong>g the data recorded <strong>in</strong> CD spectra of prote<strong>in</strong>s below 250 nm (far UV<br />
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