Translocation and Reversible Localization of Signaling Proteins A Dynamic Future for Signal Transduction

(1) The diffusion profile of a protein that originates in a point source can be described as (Crank, J., The Mathematics of Diffusion, Clarendon, Oxford, 2nd ed., 1975): . If the question is how far a protein will get on average away from its origin, the problem can be reduced to integration of 2 · x · F(x,t) from 0 to infinity. This calculation uses the mirror principle of diffusion described in the same reference. The result was used in the equation in the text. (2) The calculation of the range of action of a continuously but locally produced active protein can be obtained by multiplying the probability that a protein will be inactivated at a time t: 1/τ · exp(−t/τ), with the average diffusion distance of the protein in the same time: (4 · D · t/π)1/2 and by calculating the integral of the product over time from 0 to infinity. This calculation was made for two and three dimensions for the equations that were included in the text.*E-mail: tobiasmeyer@stanford.edu, mteruel@stanford.edu

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