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Titolo:
Biochemical reactions on helical structures
Autore:
Edwards, DA;
Indirizzi:
Univ Delaware, Dept Math Sci, Newark, DE 19716 USA Univ Delaware Newark DE USA 19716 re, Dept Math Sci, Newark, DE 19716 USA
Titolo Testata:
SIAM JOURNAL ON APPLIED MATHEMATICS
fascicolo: 4, volume: 60, anno: 2000,
pagine: 1425 - 1446
SICI:
0036-1399(20000325)60:4<1425:BROHS>2.0.ZU;2-K
Fonte:
ISI
Lingua:
ENG
Soggetto:
CHEMICAL-VAPOR-DEPOSITION; SURFACE-PLASMON RESONANCE; MASS-TRANSPORT; MACROMOLECULAR INTERACTIONS; RATE CONSTANTS; DIFFUSION; KINETICS; BINDING; RECOGNITION; CONVECTION;
Keywords:
perturbation methods; ligand-receptor kinetics; transport-influenced kinetics; surface-volume reactions; DNA; multiple-scale methods;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
37
Recensione:
Indirizzi per estratti:
Indirizzo: Edwards, DA Univ Delaware, Dept Math Sci, Newark, DE 19716 USA Univ Delaware Newark DE USA 19716 h Sci, Newark, DE 19716 USA
Citazione:
D.A. Edwards, "Biochemical reactions on helical structures", SIAM J A MA, 60(4), 2000, pp. 1425-1446

Abstract

Analyses of biochemical surface-volume reactions often focus on the reaction-dominated case, where the free-floating analyte is well-mixed and the binding kinetics are unaffected by transport. In actuality, transport effectsoften play a role. A mathematical model is formulated for a cylinder with a helical reacting strip on its surface, which is a good model for a helical biopolymer such as DNA that interacts with molecules that bind to periodic structures along its backbone. Perturbation techniques are used to analyze the concentration of the reacting species for association and dissociation kinetics when the cylinder is immersed in a quiescent medium. In the caseof an insulating boundary for the analyte region, a multiple-scale expansion must be used. The secularity which necessitates such an expansion is significantly different from canonical examples. The expressions for the boundstate provide a direct way to estimate the rate constants from raw data. Remarks on the calculation of effective rate constants for general transport-affected systems are presented.

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Documento generato il 20/01/21 alle ore 15:20:04