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Molecular Turing structures in the biochemistry of the cell
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17.The automaton modeling of collision processes resembles that of the BGK kinetic equation [P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954)] where collisions are treated as thermalizing events that occur with a given frequency and molecules free stream between such collisions. Thus each “collision” event is the result of a number of real collisions in the system.
18.For very large solute molecules the solution should be sufficiently dilute that their volume fraction is small compared to the cell volume. If the solvent is very large and the solute concentration is high the mean field description of the solvent may have to be replaced by a more detailed solvent model in order to describe the local solute dynamics accurately.
19.This corresponds to a few hundredths molar solution, which is sufficiently dilute so that a small fluid volume can easily contain the small solute molecules and many solvent molecules.
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23.The Turing length was extracted from the simulation by measuring the distances between the density maxima on a lattice.
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