Transport Effects on Multiple-Component Reactions in Optical Bionsensors

Published

August 1, 2017

Author(s)

Ryan M. Evans, 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

https://doi.org/10.1007/s11538-017-0327-9

Local Download

Keywords

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

Citation

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 October 9, 2025)