Mathematical Modelling of Random Antibody Adsorption and Immunoassay Activity.

Document Type

Theses, Ph.D


Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence



Publication Details

Thesis presented for the Degree of Doctor of Philosophy to Technological University Dublin, 2017.


The specic reaction between antibodies and antigens underpins the development of a wide variety of immunoassays and biosensors, with applications to human clinical diagnostics, food and environmental safety. Many of these technologies rely upon the immobilisation of antibodies on solid support interfaces for the purpose of antigen detection, through strategies which result in a random particle distribution and considerably reduced antigenbinding activity. Therefore, one of the primary considerations in immunoassay design is optimising the concentration of capture antibody in order to achieve maximal antigen binding and, subsequently, improved sensitivity and limit of detection. Monolayer particle deposition has been successfully described by the theory known as random sequential adsorption (RSA). Within this framework, we propose a few mathematical models in order to calculate how the concentration of correctly oriented antibodies (active site exposed for subsequent reactions) and their kinetic ability depend on the surface density and other parameters. Theoretical estimations of assay signals are also derived and compared with experimental calibration curves.

This work is motivated by a collaboration with researchers at the Biomedical Diagnostics Institute, Dublin City University.



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