Evans, R.
and Edwards, D.
(2017),
Transport Effects on Multiple-Component Reactions in Optical Bionsensors, Bulletin of Mathematical Biology, [online], https://doi.org/10.1007/s11538-017-0327-9
(Accessed March 5, 2025)
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Transport Effects on Multiple-Component Reactions in Optical Bionsensors
Published
Author(s)
, David A. Edwards
Abstract
Many biochemical reactions involve a stream of chemical reactants (ligand molecules) flowing over a surface to which other reactants (receptors) are confined. Scientists measure rate constants associated with these reactions in an optical biosensor: an instrument in which ligand molecules are convected through a flow cell, over a surface to which receptors are immobilized. In applications such as DNA damage repair multiple simultaneous reactions occur on the surface of the biosensor. We quantify transport effects on such multiple-component reactions, which result in a nonlinear set of integrodifferential equations for the reacting species concentrations. In physically relevant parameter regimes, these integrodifferential equations further reduce to a nonlinear set of ordinary differential equations, which may be used to estimate rate constants from biosensor data. We verify our results with a semi-implicit finite difference algorithm.Citation
Bulletin of Mathematical Biology
Volume
79
Pub Type
Journals
Download Paper
Keywords
Biochemistry , Optical biosensors , Rate constants , Partial differential equations, Integrodifferential equations, Numerical methods
Citation
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Created July 31, 2017, Updated September 25, 2020