From Rotamers to Models and back via the Entropy of Water Protein structure bioinformatics Predict mutations Analyse mutations Understand biology Design medicines etc Homology modelling for the above ID: 226490
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Slide1
Rerun of essentials of week one
From Rotamers to Models and back via the Entropy of WaterSlide2
Protein structure bioinformatics
Predict mutations
Analyse mutations
Understand biology
Design medicines (
etc
)
Homology modelling for the aboveSlide3
Mutations and rotamers
‘Rotamer’ is an abused word. It both means any side chain conformation and preferred side chain conformation.Slide4Slide5Slide6
Improbable thingsSlide7
©CMBI 2006
β
-branched prefers
β
-strandSlide8
Common sense and tau…
Valine, Isoleucine, and Threonine are
β
-branched. Common sense dictates to treat their tau angles special. Their
γ
-atoms bulldozer into their own backbone, and that is why
β
-branched residues prefer
β
-strandsSlide9
Tau
angleSlide10
Rotamers
So, there is much we don’t understandSlide11
Rotamers
Predict mutations
Analyse mutations
Help with docking
Homology modelling
Structure validationSlide12
Model!
1: Template recognition and initial alignment
2: Alignment correction
3: Backbone generation
4: Loop modeling
5: Sidechain modeling
6: Model optimization
7: Model validation
8: Iteration
8: Iteration
8: Iteration
8: IterationSlide13
MUTANT DESIGN
BIO-
INFORMATICS
QUESTION
‘MOLECULAR
BIOLOGY’
BIOPHYSICSSlide14
Mutations
Protein stability
Enzyme activity
Enzyme specificity
Antigenicity
Validate/falsify hypotheses
EtceteraSlide15
PROTEIN STABILITY
Δ
G
=
Δ
H - T
Δ
S
Δ
G
= -RT ln(K)
K = [Folded] / [Unfolded]
So, you can interfere either with the folded, or with the unfolded form.
Choosing between
Δ
H and
Δ
S will be much more difficult, because
Δ
G is a property of the complete system, including H
2O….Slide16
There is a natural tendency for all things (even atoms & molecules) to roll downhill - to fall to lower energy.
H wants to be negative
This is opposed (at the molecular level) by the equally natural tendency for thermal/Brownian motion (otherwise known as “entropy”) to make things go the other way…
…and this effect gets bigger as the temperature increases.
T.
S wants to be positive
A bluffer’s guide to Thermodynamic
Equilibrium, by Alan CooperSlide17
Thermodynamic Equilibrium, expressed in terms of the Gibbs Free Energy change, reflects just the balance between these opposing tendencies…
G =
H - T
S
Equilibrium is reached when these two forces just balance (
G = 0).
The
standard
free energy change,
G
, is just another way of expressing the equilibrium constant, or affinity (K) for any process, on a logarithmic scale…G
= -RTlnKSlide18
Both enthalpy and entropy are integral functions of heat capacity...
….from which
D
G =
D
H - T.
D
S
So
D
C
p
is the key - if we can understand heat capacity effects, then we can understand everything else.Slide19
So, what is the role of water?
So
D
C
p
is the key - if we can understand heat capacity effects, then we can understand everything else. And
D
C
p
is largely determined by the interactions between water and the macromolecule(s).
In figure b many more waters are free than in a. And free waters are happy waters!Slide20
Stability engineering
Entropic versus enthalpic
Folded versus unfolded form
Thermodynamic versus kinetic
Always compensatory