TY - JOUR

T1 - Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension

AU - Geurts, Bernardus J.

AU - Wiegel, F.W.

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

KW - IR-69870

U2 - 10.1016/S0092-8240(87)80009-5

DO - 10.1016/S0092-8240(87)80009-5

M3 - Article

VL - 49

SP - 487

EP - 494

JO - Bulletin of mathematical biology

JF - Bulletin of mathematical biology

SN - 0092-8240

IS - 4

ER -