Mathematical Modeling of Kinetics of Antigens and Antibodies Based on Experiments Toward Analysis of the Mechanism of Allergies

Abstract

Abstract. In this paper, we propose a model of kinetics of antigens and antibodies based upon experiments conducted by Husby et al. on immune response against orally administrated ovalbumin. A differential algebraic system of equations is derived from the proposed model. We investigated the characteristics of the system and consequently desired numerical methods. In addition, the model parameters are estimated using experimental data, which are the concentrations of ovalbumins in the blood. The kinetics are also simulated with the estimated parameters. Throughout our work, the possible contributions of computational scientific approaches to the analysis of the mechanism of allergies are illustrated.