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Stochastic theory for the kinetics of migration of ligands in biomolecules
Authors:P. Hanggi
Affiliation:Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, U.S.A.
Abstract:A stochastic approach in terms of master equations with linear and nonlinear transition rates for the dynamics of the migration of ligands in biomolecules is presented. Coupling to a bath with constant ligand concentration as well as multiple occupancies by ligands of certain sites inside the biomolecule are allowed. Explicit expressions for the fraction of biomolecules that have not bound a ligand at time t under experimental constraints λ are found by solving the generating function of the probability obeying the master equation. For highly non-linear systems a computer oriented procedure is presented. The validity of a description with a system of coupled linear deterministic equations is discussed. Relevance to experimental data and applications to other biophysical systems are outlined.
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