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Downhill Kinetics of Biomolecular Interface Binding: Globally Connected Scenario

Jin Wang ^* , Weimin Huang ^*, Hongyang Lu ^* and Erkang Wang ^*

^* State Key Laboratory of Electro-analytical Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, People's Republic of China; and The Department of Chemistry and Department of Physics, State University of New York at Stony Brook, Stony Brook, New York

Correspondence: Address reprint requests to Jin Wang, E-mail: jinwang{at}sprynet.com, or to Erkang Wang, E-mail: ekwang{at}ciac.jl.cn.

We study the kinetics of the biomolecular binding process at the interface using energy landscape theory. The global kinetic connectivity case is considered for a downhill funneled energy landscape. By solving the kinetic master equation, the kinetic time for binding is obtained and shown to have a U-shape curve-dependence on the temperature. The kinetic minimum of the binding time monotonically decreases when the ratio of the underlying energy gap between native state and average non-native states versus the roughness or the fluctuations of the landscape increases. At intermediate temperatures, fluctuations measured by the higher moments of the binding time lead to non-Poissonian, non-exponential kinetics. At both high and very low temperatures, the kinetics is nearly Poissonian and exponential.

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