A simple mathematical model to describe antibody-dependent enhancement in heterologous secondary infection in dengue

Author(s)

Ceron Gomez, Miller ^[1] ; Yang, Hyun Mo ^[2]

Affiliation

^[1] Univ Narino, Dept Matemat, Pasto, Narino - Colombia

^[2] Univ Estadual Campinas, IMECC, Dept Matemat Aplicada, Praca Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Document type: Journal article
• Source: MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA; v. 36, n. 4, p. 411-438, DEC 2019.
• Web of Science Citations: 3

Abstract

We develop a mathematical model to describe the role of antibody-dependent enhancement (ADE) in heterologous secondary infections, assuming that antibodies specific to primary dengue virus (DENV) infection are being produced by immunological memory. The model has a virus-free equilibrium (VFE) and a unique virus-presence equilibrium (VPE). VFE is asymptotically stable when VPE is unstable; and unstable, otherwise. Additionally, there is an asymptotic attractor (not a fixed point) due to the fact that the model assumes unbounded increase in memory cells. In the analysis of the model, ADE must be accounted in the initial stage of infection (a window of time of few days), period of time elapsed from the heterologous infection until the immune system mounting an effective response against the secondary infection. We apply the results yielded by model to evaluate ADE phenomonon in heterologous DENV infection. We also associate the possible occurrence of severe dengue with huge viremia mediated by ADE phenomenon. (AU)

• FAPESP's process: 13/17264-0 - Modeling the Host Response to Dengue Virus and Antibody Dependent Enhancement
• Grantee: Miller Orlando Cerón Gómez
• Support Opportunities: Scholarships in Brazil - Doctorate