Abstract:
:Conditions for which a ligand reversibly bound to a cell surface dissociates and then rebinds to the surface have been theoretically examined. The coupled differential equations that describe reaction at the interface between sites on a plane and three-dimensional solution have been described previously (Thompson, N. L., T. P. Burghardt, and D. Axelrod. 1981. Biophys. J. 33:435-454). Here, we use this theoretical formalism to provide an analytical solution for the spatial and temporal dependence of the probabilities of finding a molecule on the surface or in the solution, given initial placement on the surface at the origin. This general analytical solution is used to derive a simple expression for the probability that a molecule rebinds to the surface at a given position and time after release at the origin and time zero. The probability expressions provide fundamental equations that form a basis for subsequent modeling of ligand-receptor interactions in specific geometries.
journal_name
Biophys Jjournal_title
Biophysical journalauthors
Lagerholm BC,Thompson NLdoi
10.1016/S0006-3495(98)77836-1subject
Has Abstractpub_date
1998-03-01 00:00:00pages
1215-28issue
3eissn
0006-3495issn
1542-0086pii
S0006-3495(98)77836-1journal_volume
74pub_type
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