Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension
✍ Scribed by Bernard J. Geurts; Frederik W. Wiegel
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 381 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
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/to)1/2], which changes into a fractional exponential of the form exp[-(t/t 1) 1/3] for 10ng times, which in its turn changes into a pure exponential time dependence, i.e. exp[ -t/tz] 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.