1. Kinetic analysis of translocation through nuclear pore complexes
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3. The molecular species dynamics in the model are described by a set of partial-differential equations (reaction-diffusion type) ∂[X]/∂ t = D X ∇ 2 [X] + ∑ν where [X] is the concentration of species X D X is its diffusion coefficient and the second term is the sum of the rates ν of the reactions affecting species X. The reversible reactions of the type X + A ↔ A X [Web fig. 1 (11)] are described by mass action kinetics ν = − k on [X][ A ] + k off [ A X] where ν is the velocity k on is the forward reaction rate constant and k off is the reverse reaction rate constant. Enzyme-mediated reactions are approximated as irreversible with Michaelis-Menten rates ν = k cat [ E ][X]( K m + [X]) −1 where [ E ] is the enzyme concentration k cat is the catalytic-efficiency constant and K m is the Michaelis-Menten constant. Nuclear membrane flux densities are described: j X = P X ([X] cytosol − [X] nucleus ). Values of diffusion coefficients D X ; reaction parameters k on k off k cat and K m ; and permeabilities P X are given in Web table 1 (11).
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