Abstract
In many biophysical and biochemical experiments one observes the decay of some ligand population by an appropriate system of traps. We analyse this decay for a one-dimensional system of randomly distributed traps, and show that one can distinguish three different regimes. The decay starts with a fractional exponential of the form exp[−(t/t 0)1/2], which changes into a fractional exponential of the form exp[−(t/t 1)1/3] for long times, which in its turn changes into a pure exponential time dependence, i.e. exp[−t/t 2] for very long times. With these three regimes, we associate three time scales, related to the average trap density and the diffusion constant characterizing the motion of the ligands.
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Geurts, B.J., Wiegel, F.W. Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension. Bltn Mathcal Biology 49, 487–494 (1987). https://doi.org/10.1007/BF02458865
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DOI: https://doi.org/10.1007/BF02458865