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Fronts with continuous waiting-time distributions: Theory and application to virus infections

We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]

© Physical Review E, 2006, vol. 73, núm. 2, p. 021907-1 - 021907-8

American Physical Society

Autor: Fort, Joaquim
Pérez Losada, Joaquim
Úbeda de la Casa, Esmeralda
García, F.J.
Data: 2006
Resum: We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/7698
Llenguatge: eng
Editor: American Physical Society
Col·lecció: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.73.021907
Articles publicats (D-F)
És part de: © Physical Review E, 2006, vol. 73, núm. 2, p. 021907-1 - 021907-8
Drets: Tots els drets reservats
Matèria: Virosis -- Models matemàtics
Virus diseases -- Mathematical models
Distribució (Teoria de la probabilitat)
Distribution (Probability theory)
Títol: Fronts with continuous waiting-time distributions: Theory and application to virus infections
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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