Modelling a competitive antibody/antigen chemical reaction that occurs in the fluorescence capillary-fill device

Research output: Chapter in Book/Report/Conference proceedingChapter


A mathematical model in the form of two coupled diffusion equations is provided for a competitive chemical reaction between an antigen and a labelled antigen for antibody sites on a cell wall; boundary conditions are such that the problem is both nonlinear and nonlocal. This is then re-characterized as a pair of coupled singular integro-differential equations which is solved by a product integration method. Some numerical results based on real data are presented.
Original languageUnknown
Title of host publicationProgress in Industrial Mathematics at ECMI 2012
EditorsFontes Magnus, Günther Michael, Marheineke Nicole
Place of PublicationSwitzerland
ISBN (Print)978-3-319-05364-6
Publication statusPublished - 1 Jan 2014

Publication series

NameMathematics in Industry
ISSN (Print)1612-3956

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