Point 9.1
Using a set number of degrees of freedom – we don’t overanalyse, we save ourselves a huge amount of mathematics etc
Elasticity comes from entropy. Entropy determines the elasticity of an object
Rubber band force pulling it back becomes less at high temperature
Elastic energy cost increases with temperature
Shape of curve determines elastic energy (equation 9.4 assumes circular curve)
Approximate a curve as a bunch of little circular segments
Figure 9.4
C) still a coil
d) unwinds and becomes straight
slope of A = entropic elasticity
figure 9.5
gives 4 different models to describe 9.4’s regime A and part of B
talked about reasons why we’d stretch out dna and other things
1D chain model – chain containing segments that pointed either left or right. Only two parameters occurring are temperature (which is fixed), and the persistence length (length of segment)
3D chain – segments can point in any direction. Adds two degrees of freedom (the two extra dimensions)
Elastic rod model – 3dfjc model plus an energy cost for every bend. Each segment cares about what’s going on with its neighbours
Figure 9.7
Find it weird that the structure become more ordered at higher temperatures, as opposed to denaturing. Does show however that at low temperatures it is denatured, and for all we know, it may denature again at a higher temperature.
Cold denaturing – loss of electrostatics, lowering of disulfide bonds
Long protein can be approximated as an infinitely long coil
Short protein – ends can’t be stabilised as easily, due to fraction of residues that can’t become part of the helix
Figure 9.8
Rotation determines fraction of helices
Double conc = double rotation
One helical rotation turns light to the left, the handedness of rotation turns light to the right.
CD
Figure 9.9
Effects of changing degree of cooperativity
In long chains, hard to tell if cooperativity matter
In short chains though, makes a hell of a difference
Cooperativity allows for sharp transitions
Figure 9.10
HbO2 -><- Hb + O2
Keq = [Hb][O2]/[HbO2]
Y = [HbO2]/([Hb] + [HbO2] = fraction bound
Bad to have myoglobin.....20% oxygenation difference in tissue
Haemoglobin has 4 binding sites....effective value of 3 due to its binding nature
Small fraction have 1, 2 or 3 bound
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