Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension

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Geurts, Bernard J. and Wiegel, Frederik W. (1987) Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension. Bulletin of mathematical biology, 49 (4). pp. 487-494. ISSN 0092-8240

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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 radomly distributed traps, and show that one can distinguish three different regimes. The decay starts with a fractional exponential of the form exp[− (t/t0)1/2], which changes into a fractional exponential of the form exp[− (t/t1)1/3] for long times, which in its turn changes into a pure exponential time dependence, i.e. exp[−t/t2] 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.
Item Type:Article
Copyright:© 1987 Springer
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69870
Official URL:http://dx.doi.org/10.1016/S0092-8240(87)80009-5
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