First Passage and Cooperativity of Queuing Kinetics

Details First Passage and Cooperativity of Queuing Kinetics First Passage and Cooperativity of Queuing Kinetics

2005-12-07

arxiv.org/abs/cond-mat/0512150v1

Phys. Rev Lett. 95, 170603, (2005)

Physics

Condensed Matter

Statistical Mechanics

5pp, 5 figures

Scientific paper

10.1103/PhysRevLett.95.170603

We model the kinetics of ligand-receptor systems, where multiple ligands may bind and unbind to the receptor, either randomly or in a specific order. Equilibrium occupation and first occurrence of complete filling of the receptor are determined and compared. At equilibrium, receptors that bind ligands sequentially are more likely to be saturated than those that bind in random order. Surprisingly however, for low cooperativity, the random process first reaches full occupancy faster than the sequential one. This is true {\it except} near a critical binding energy where a 'kinetic trap' arises and the random process dramatically slows down when the number of binding sites $N\geq 8$. These results demonstrate the subtle interplay between cooperativity and sequentiality for a wide class of kinetic phenomena, including chemical binding, nucleation, and assembly line strategies.

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