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CS 10: Sequential vs parallel paths. Biochemistry 655 2 February 2011. Goals. Review the use of refolding kinetics to identify (molten globule) intermediates: unifying the minimal Barnase, CI2 folding schemes (Otzen). A more detailed look at the folding transition, D => I (Dalby).
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CS 10: Sequential vs parallel paths Biochemistry 655 2 February 2011
Goals • Review the use of refolding kinetics to identify (molten globule) intermediates: unifying the minimal Barnase, CI2 folding schemes (Otzen). • A more detailed look at the folding transition, D => I (Dalby). • 1st order vs 2nd order transitions • Cooperativity • Detecting parallel paths experimentally (Fersht). • Linear free energy relations • The Brønsted relation • Compare experimental and computationally-derived f values (Dagget).
Relating equilibria and rates • An equilibrium constant can be expressed as the ratio of forward and reverse rate constants: • Keq,u = ku/kf = 1/Keq,f • This provides predicted folding rates,kf,pred, once equilibrium and unfolding rate constants are known: • kf = ku/Keq,u = Keq,f * ku • kf,pred = ku/Keq,u ≠ kf,obs • => Refolding experiments can detect intermediates!!
Space Time Time Time Time …characterizes in space and time
(Variable 2-state) First-order; coooperative The minimal barnase folding scheme
A Unified model? >1 Module
Detection of parallel pathways-1 core surface
Detection of parallel pathways-2 Major a-helix in Barnase
The folding transition D => I • First order transitions imply that Keq changes under different conditions. • kf is a first-order transition, a single exponential • This behavior is also called “cooperative”. • Cooperativity is a matter of degree (ie., there is always fine structure at some level of detail). • Second-order transitions imply that structures change under different conditions. • Different conditions produce different species. • A single species is present at any set of conditions. • This model involves progressive conversion of D => I. • Phi and m value analysis can help distinguish these possibilities.