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Dive into the intricate world of enzyme reaction kinetics, from picoseconds to milliseconds, revealing the challenges of studying single proteins at work. Discover the evolution of early protein measurements, optical attempts, and correlation functions in enzyme kinetics. Explore the wonder of enzymes, a million times smaller than a honey bee, and unravel the insights gained from studying single molecule turnovers and reaction trajectories. Learn how enzymes fluctuate across various time scales, highlighting the importance of examining individual reactions rather than ensemble averages.
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k1 k2 k3 E•S E0 + P k-1 E0 E Enzyme reaction kinetics E + S
k2[E0][S] = [S] + KM d[P] k-1 + k2 dt KM= k1 Enzyme reaction kinetics = v = k2[E•S]
atto-second femto-second pico-second nano-second micro-second milli-second second Molecular Time scales 10-18 s 10-15 s 10-12 s 10-9 s 10-6 s 10-3 s 1 s
The challenge of one Enzymes are over a million times smaller than a honey bee!
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)
Fluorescence decay rate: Fluctuations: ET model Flavin:NADH oxidoreductase (Fre)
Lifetime H. Yang et al., Science 302, 262 (2003)
waiting time probability density of mean waiting time for Michaelis-Menten kinetics waiting time correlation function intensity correlation function New tools
Single molecule turnovers H.P. Lu et al., Science 282, 1877 (2002)
-galactosidase -galactosidase
Single molecule assay English et al., Nat. Chem. Biol. 2, 87 (2006)
Intensity correlation fluctuation of k2
Enzymes fluctuate on a broad range of time scales Reaction kinetics are dispersed, only the average is measured in ensembles New lessons learned