Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.

The advantages of Bayesian statistical approaches, such as flexibility and the ability to acknowledge uncertainty in all parameters, have made them the prevailing method for analysing the spread of infectious diseases in human or animal populations. We introduce a Bayesian approach to experimental h...

Full description

Saved in:
Bibliographic Details
Main Authors: David Lunn, Robert J B Goudie, Chen Wei, Oliver Kaltz, Olivier Restif
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2013-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0069775
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850212754862899200
author David Lunn
Robert J B Goudie
Chen Wei
Oliver Kaltz
Olivier Restif
author_facet David Lunn
Robert J B Goudie
Chen Wei
Oliver Kaltz
Olivier Restif
author_sort David Lunn
collection DOAJ
description The advantages of Bayesian statistical approaches, such as flexibility and the ability to acknowledge uncertainty in all parameters, have made them the prevailing method for analysing the spread of infectious diseases in human or animal populations. We introduce a Bayesian approach to experimental host-pathogen systems that shares these attractive features. Since uncertainty in all parameters is acknowledged, existing information can be accounted for through prior distributions, rather than through fixing some parameter values. The non-linear dynamics, multi-factorial design, multiple measurements of responses over time and sampling error that are typical features of experimental host-pathogen systems can also be naturally incorporated. We analyse the dynamics of the free-living protozoan Paramecium caudatum and its specialist bacterial parasite Holospora undulata. Our analysis provides strong evidence for a saturable infection function, and we were able to reproduce the two waves of infection apparent in the data by separating the initial inoculum from the parasites released after the first cycle of infection. In addition, the parameter estimates from the hierarchical model can be combined to infer variations in the parasite's basic reproductive ratio across experimental groups, enabling us to make predictions about the effect of resources and host genotype on the ability of the parasite to spread. Even though the high level of variability between replicates limited the resolution of the results, this Bayesian framework has strong potential to be used more widely in experimental ecology.
format Article
id doaj-art-0269f8477c1a4e6cbcafd8e5cbaa2403
institution OA Journals
issn 1932-6203
language English
publishDate 2013-01-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS ONE
spelling doaj-art-0269f8477c1a4e6cbcafd8e5cbaa24032025-08-20T02:09:17ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0188e6977510.1371/journal.pone.0069775Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.David LunnRobert J B GoudieChen WeiOliver KaltzOlivier RestifThe advantages of Bayesian statistical approaches, such as flexibility and the ability to acknowledge uncertainty in all parameters, have made them the prevailing method for analysing the spread of infectious diseases in human or animal populations. We introduce a Bayesian approach to experimental host-pathogen systems that shares these attractive features. Since uncertainty in all parameters is acknowledged, existing information can be accounted for through prior distributions, rather than through fixing some parameter values. The non-linear dynamics, multi-factorial design, multiple measurements of responses over time and sampling error that are typical features of experimental host-pathogen systems can also be naturally incorporated. We analyse the dynamics of the free-living protozoan Paramecium caudatum and its specialist bacterial parasite Holospora undulata. Our analysis provides strong evidence for a saturable infection function, and we were able to reproduce the two waves of infection apparent in the data by separating the initial inoculum from the parasites released after the first cycle of infection. In addition, the parameter estimates from the hierarchical model can be combined to infer variations in the parasite's basic reproductive ratio across experimental groups, enabling us to make predictions about the effect of resources and host genotype on the ability of the parasite to spread. Even though the high level of variability between replicates limited the resolution of the results, this Bayesian framework has strong potential to be used more widely in experimental ecology.https://doi.org/10.1371/journal.pone.0069775
spellingShingle David Lunn
Robert J B Goudie
Chen Wei
Oliver Kaltz
Olivier Restif
Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
PLoS ONE
title Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
title_full Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
title_fullStr Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
title_full_unstemmed Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
title_short Modelling the dynamics of an experimental host-pathogen microcosm within a hierarchical Bayesian framework.
title_sort modelling the dynamics of an experimental host pathogen microcosm within a hierarchical bayesian framework
url https://doi.org/10.1371/journal.pone.0069775
work_keys_str_mv AT davidlunn modellingthedynamicsofanexperimentalhostpathogenmicrocosmwithinahierarchicalbayesianframework
AT robertjbgoudie modellingthedynamicsofanexperimentalhostpathogenmicrocosmwithinahierarchicalbayesianframework
AT chenwei modellingthedynamicsofanexperimentalhostpathogenmicrocosmwithinahierarchicalbayesianframework
AT oliverkaltz modellingthedynamicsofanexperimentalhostpathogenmicrocosmwithinahierarchicalbayesianframework
AT olivierrestif modellingthedynamicsofanexperimentalhostpathogenmicrocosmwithinahierarchicalbayesianframework