Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture
BACKGROUND: For a typical influenza infection in vivo, viral titers over time are characterized by 1–2 days of exponential growth followed by an exponential decay. This simple dynamic can be reproduced by a broad range of mathematical models which makes model selection and the extraction of biologic...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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BioMed Central
2011
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3317580/ https://www.ncbi.nlm.nih.gov/pubmed/21356129 http://dx.doi.org/10.1186/1471-2458-11-S1-S10 |
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author | Holder, Benjamin P Beauchemin, Catherine AA |
author_facet | Holder, Benjamin P Beauchemin, Catherine AA |
author_sort | Holder, Benjamin P |
collection | PubMed |
description | BACKGROUND: For a typical influenza infection in vivo, viral titers over time are characterized by 1–2 days of exponential growth followed by an exponential decay. This simple dynamic can be reproduced by a broad range of mathematical models which makes model selection and the extraction of biologically-relevant infection parameters from experimental data difficult. RESULTS: We analyze in vitro experimental data from the literature, specifically that of single-cycle viral yield experiments, to narrow the range of realistic models of infection. In particular, we demonstrate the viability of using a normal or lognormal distribution for the time a cell spends in a given infection state (e.g., the time spent by a newly infected cell in the latent state before it begins to produce virus), while exposing the shortcomings of ordinary differential equation models which implicitly utilize exponential distributions and delay-differential equation models with fixed-length delays. CONCLUSIONS: By fitting published viral titer data from challenge experiments in human volunteers, we show that alternative models can lead to different estimates of the key infection parameters. |
format | Online Article Text |
id | pubmed-3317580 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2011 |
publisher | BioMed Central |
record_format | MEDLINE/PubMed |
spelling | pubmed-33175802012-04-04 Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture Holder, Benjamin P Beauchemin, Catherine AA BMC Public Health Research BACKGROUND: For a typical influenza infection in vivo, viral titers over time are characterized by 1–2 days of exponential growth followed by an exponential decay. This simple dynamic can be reproduced by a broad range of mathematical models which makes model selection and the extraction of biologically-relevant infection parameters from experimental data difficult. RESULTS: We analyze in vitro experimental data from the literature, specifically that of single-cycle viral yield experiments, to narrow the range of realistic models of infection. In particular, we demonstrate the viability of using a normal or lognormal distribution for the time a cell spends in a given infection state (e.g., the time spent by a newly infected cell in the latent state before it begins to produce virus), while exposing the shortcomings of ordinary differential equation models which implicitly utilize exponential distributions and delay-differential equation models with fixed-length delays. CONCLUSIONS: By fitting published viral titer data from challenge experiments in human volunteers, we show that alternative models can lead to different estimates of the key infection parameters. BioMed Central 2011-02-25 /pmc/articles/PMC3317580/ /pubmed/21356129 http://dx.doi.org/10.1186/1471-2458-11-S1-S10 Text en Copyright ©2011 Holder and Beauchemin; licensee BioMed Central Ltd. http://creativecommons.org/licenses/by/2.0 This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Holder, Benjamin P Beauchemin, Catherine AA Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title | Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title_full | Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title_fullStr | Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title_full_unstemmed | Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title_short | Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
title_sort | exploring the effect of biological delays in kinetic models of influenza within a host or cell culture |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3317580/ https://www.ncbi.nlm.nih.gov/pubmed/21356129 http://dx.doi.org/10.1186/1471-2458-11-S1-S10 |
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