Item


Cohabitation reaction-diffusion model for virus focal infections

The propagation of virus infection fronts has been typically modeled using a set of classical (noncohabitation) reaction-diffusion equations for interacting species. However, for some single-species systems it has been recently shown that noncohabitation reaction-diffusion equations may lead to unrealistic descriptions. We argue that previous virus infection models also have this limitation, because they assume that a virion can simultaneously reproduce inside a cell and diffuse away from it. For this reason, we build a several-species cohabitation model that does not have this limitation. Furthermore, we perform a sensitivity analysis for the most relevant parameters of the model, and we compare the predicted infection speed with observed data for two different strains of the T7 virus

This work was supported by grants from the Fundacion Botin, the MICINN-FEDER (projects SimulPast-Consolider-CSD-2010-00034 and FIS-2009-13050 and FIS-2012-31307) and by the Generalitat de Catalunya (Grup consolidat 2009-SGR-374)

Elsevier

Manager: Ministerio de Economía y Competitividad (Espanya)
Ministerio de Ciencia e Innovación (Espanya)
Author: Amor, Daniel R.
Fort, Joaquim
Abstract: The propagation of virus infection fronts has been typically modeled using a set of classical (noncohabitation) reaction-diffusion equations for interacting species. However, for some single-species systems it has been recently shown that noncohabitation reaction-diffusion equations may lead to unrealistic descriptions. We argue that previous virus infection models also have this limitation, because they assume that a virion can simultaneously reproduce inside a cell and diffuse away from it. For this reason, we build a several-species cohabitation model that does not have this limitation. Furthermore, we perform a sensitivity analysis for the most relevant parameters of the model, and we compare the predicted infection speed with observed data for two different strains of the T7 virus
This work was supported by grants from the Fundacion Botin, the MICINN-FEDER (projects SimulPast-Consolider-CSD-2010-00034 and FIS-2009-13050 and FIS-2012-31307) and by the Generalitat de Catalunya (Grup consolidat 2009-SGR-374)
Format: application/pdf
Document access: http://hdl.handle.net/10256/14083
Language: eng
Publisher: Elsevier
Collection: info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2014.08.023
info:eu-repo/semantics/altIdentifier/issn/0378-4371
MINECO/PN 2010-2017/CSD2010-00034
MICINN/PN 2010-2012/FIS2009-13050
info:eu-repo/grantAgreement/MINECO//FIS2012-31307/ES/PROPAGACION DE FRENTES EN SISTEMAS COMPLEJOS MULTIDISCIPLINARES/
Rights: Tots els drets reservats
Subject: Virosis -- Models matemàtics
Virus diseases -- Mathematical models
Teories no lineals
Nonlinear theories
Física matemàtica
Mathematical physics
Equacions de reacció-difusió
Reaction-diffusion equations
Title: Cohabitation reaction-diffusion model for virus focal infections
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

Subjects

Authors


Warning: Unknown: write failed: No space left on device (28) in Unknown on line 0

Warning: Unknown: Failed to write session data (files). Please verify that the current setting of session.save_path is correct (/var/lib/php5) in Unknown on line 0