A Competitive Random Sequential Adsorption Model for Immunoassay Activity

  • Dana Mackey
  • Eilis Kelly
  • Robert Nooney
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


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.



The second author gratefully acknowledges financial support from the Irish Research Council.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesDublin Institute of TechnologyDublin 8Ireland
  2. 2.Dublin Institute of TechnologyDublin 8Ireland
  3. 3.Biomedical Diagnostics InstituteDublin City UniversityDublin 9Ireland

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