Single proteins at work
Enzyme reaction kinetics E•S k2 E0 + P E + S E0 k3 E
Enzyme reaction kinetics d[P] dt k2[E0][S] [S] + KM = = v = k2[E•S] KM= k-1 + k2 k1
Molecular Time scales 10-18 s 10-15 s 10-12 s 10-9 s 10-6 s 10-3 s 1 s second milli-second micro-second nano-second pico-second femto-second atto-second Talked about spatial scales, now time scales. What kind of motions on what time scale? Fs to a minute, minute to the age of universe.
Microsecond motion Small poly-peptide. Folding of proteins. Very complicated process, takes time. Simulation of 100 microseconds
The illusion of the ensemble
Enzymes are over a million times smaller than a honey bee! The challenge of one Enzymes are over a million times smaller than a honey bee!
Neher & Sakmann, Nobel prize medicine 1991 Ion channels Early single protein measurements (1970’s) Neher & Sakmann, Nobel prize medicine 1991
Early optical attempts absorption
Focus on one fluorescence
Ribozyme X. Zhang et al., Science 296, 1473 (2002)
Ribozyme
Ribozyme
Fluctuations: ET model Flavin:NADH oxidoreductase (Fre) Fluorescence decay rate:
Lifetime H. Yang et al., Science 302, 262 (2003)
Correlation
New tools waiting time probability density of mean waiting time for Michaelis-Menten kinetics waiting time correlation function intensity correlation function
Cholesterol Oxidase
Single molecule turnovers H.P. Lu et al., Science 282, 1877 (2002)
Correlation of on-times
-galactosidase -galactosidase
English et al., Nat. Chem. Biol. 2, 87 (2006) Single molecule assay English et al., Nat. Chem. Biol. 2, 87 (2006)
Reaction trajectories
Concentration dependence
Conformer interconversion
Comparison with MM kinetics
Intensity correlation fluctuation of k2
New lessons learned Enzymes fluctuate on a broad range of time scales Reaction kinetics are dispersed, only the average is measured in ensembles