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Applied mathematics, Health-related biotechnology
Immunoassays rely on highly specific reactions between antibodies and antigens and are used in biomedical diagnostics applications to detect biomarkers for a variety of diseases. Antibody immobilization to solid interfaces through random adsorption is a widely used technique but has the disadvantage of severely reducing the antigen binding activity and, consequently, the assay performance. This paper proposes a simple mathematical framework, based on the theory known as competitive random sequential adsorption (CRSA), for describing how the activity of immobilized antibodies depends on their orientation and packing density and generalizes a previous model by introducing the antibody aspect ratio as an additional parameter which could influence the assay behaviour.
Mackey, D., Kelly, E. & Nooney, R. (2016) A Competitive Random Sequential Adsorption Model for Immunoassay Activity. The 19th European Conference on Mathematics for Industry, Santiago de Compostela, 13th.-17th. June 2016.