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Modelling A Competitive Antibody/Antigen Chemical Reaction That Occurs In The Fluorescence Capillary-Fill Device

M. Rebelo, M. Rebelo, Teresa Diogo, S. McKee
Published 2014 · Chemistry

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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.
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