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Instabilities in multiserotype disease models with antibody-dependent enhancement.

Billings, Lora and Schwartz, Ira B and Shaw, Leah B and McCrary, Marie and Burke, Donald S and Cummings, Derek AT (2006) Instabilities in multiserotype disease models with antibody-dependent enhancement. J Theor Biol, 246 (1). 18 - 27. ISSN 0022-5193

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Abstract

This paper investigates the complex dynamics induced by antibody-dependent enhancement (ADE) in multiserotype disease models. ADE is the increase in viral growth rate in the presence of immunity due to a previous infection of a different serotype. The increased viral growth rate is thought to increase the infectivity of the secondary infectious class. In our models, ADE induces the onset of oscillations without external forcing. The oscillations in the infectious classes represent outbreaks of the disease. In this paper, we derive approximations of the ADE parameter needed to induce oscillations and analyze the associated bifurcations that separate the types of oscillations. We then investigate the stability of these dynamics by adding stochastic perturbations to the model. We also present a preliminary analysis of the effect of a single serotype vaccination in the model.

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Details

Item Type: Article
Status: Published
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Billings, Lora
Schwartz, Ira B
Shaw, Leah B
McCrary, Marie
Burke, Donald Sdonburke@pitt.eduDONBURKE
Cummings, Derek AT
Centers: Other Centers, Institutes, Offices, or Units > Center for Vaccine Research
Date: 15 December 2006
Date Type: Acceptance
Journal or Publication Title: J Theor Biol
Volume: 246
Number: 1
Page Range: 18 - 27
DOI or Unique Handle: 10.1016/j.jtbi.2006.12.023
Schools and Programs: School of Public Health > Epidemiology
Refereed: Yes
Uncontrolled Keywords: Animals, Antibodies, Viral, Antibody-Dependent Enhancement, Disease Outbreaks, Humans, Models, Immunological, Nonlinear Dynamics, Vaccination, Virulence, Virus Diseases, Viruses
ISSN: 0022-5193
Funders: PHS HHS (NA04OAR4310138), NIGMS NIH HHS (U01-GM070749-01)
Date Deposited: 07 May 2015 20:01
Last Modified: 13 Oct 2017 18:55
URI: http://d-scholarship.pitt.edu/id/eprint/24370

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