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Transport Effects on Multiple-Component Reactions in Optical Bionsensors



Ryan M. Evans, David A. Edwards


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.
Bulletin of Mathematical Biology


Biochemistry , Optical biosensors , Rate constants , Partial differential equations, Integrodifferential equations, Numerical methods


Evans, R. and Edwards, D. (2017), Transport Effects on Multiple-Component Reactions in Optical Bionsensors, Bulletin of Mathematical Biology, [online], (Accessed June 25, 2024)


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Created July 31, 2017, Updated September 25, 2020