Open AccessImpulsive simulation model for the dynamics of allergen immunotherapy
Author(s) -
J. G. Vergaño-Salazar,
Fernando Córdova–Lepe,
Luis Pastenes,
L Cuesta-Herrera,
Rafael Lozada-Yavina
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2153/1/012016
Subject(s) - immunotherapy , allergen , allergy , allergen immunotherapy , immunology , pollen , medicine , desensitization (medicine) , computer science , immune system , biology , ecology , receptor
This study aims to analyze the effects of allergen immunotherapy, used to treat allergic symptoms such as pollen allergy. Mathematical models are used as a methodological approach to simulate from a system of impulsive differential equations the dynamics of the model. Immunotherapy is based of supplying small amounts of pollen to the patient, which leads to minimizing severe allergic symptoms when patients are subsequently exposed to higher amounts of pollen in the environment. Lymphocyte concentrations are considered state variables, allowing the behavior and efficacy of allergen immunotherapy to be identified. The manuscript proposes a method that allows to model mixed systems. Phenomena that present continuous times in some instants and discrete times in others, these are phenomena that are frequently found in the field of physics. Allergen immunotherapy is most effective when a treatment is created with pollen dose increments in a linear form.