A linear model for polyclonal antibody–antigen reactions

Tamás Pfeil and Blanka Herbály

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 198, issue C, 20-30

Abstract: Polyclonal antibody–antigen reactions assuming constant free antibody clone concentrations and monovalent reactants are modelled by using a linear system of differential equations. The positive invariance of the simplex of immunologically meaningful points is shown, the unique equilibrium point is determined and its global asymptotic stability is proven. The trajectory starting at the origin is examined. Numerical simulations illustrate the results.

Keywords: Antibody–antigen reaction; Polyclonal reaction; Differential equation; Mathematical modelling (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:198:y:2022:i:c:p:20-30

DOI: 10.1016/j.matcom.2022.02.004

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