2009
DOI: 10.1051/mmnp/20094604
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Bacteriophage Infection Dynamics: Multiple Host Binding Sites

Abstract: Abstract. We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly, extinc… Show more

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Cited by 21 publications
(13 citation statements)
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“…The alternative approach for modelling cell lysis and phage replication uses delay differential equations (referred here as Model II). This approach is used somewhat more frequently in the literature 22 , 25 , 31 33 . The equations of Model II read as follows where τ is the time between infection and lysis.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The alternative approach for modelling cell lysis and phage replication uses delay differential equations (referred here as Model II). This approach is used somewhat more frequently in the literature 22 , 25 , 31 33 . The equations of Model II read as follows where τ is the time between infection and lysis.…”
Section: Methodsmentioning
confidence: 99%
“…Using of each of Models I and II has its advantages and disadvantages for modelling bacteria-phage interaction, thus in this study we will explore both of them. Note also that there exist more complicated bacteria-phage interaction models, for instance explicitly describing the number of phages currently bound to the bacterial cell (susceptible and/or infected) at the current moment of time or some models considering a non-fixed lysis time 25 , 33 . However, here we intentionally prefer to keep our parsimonious models of temperature dependent lysogeny as simple as possible to be able to understand the generic behaviour of such systems including the dependence of the dynamics on key parameters.…”
Section: Methodsmentioning
confidence: 99%
“…Recognising the shortcomings of phage therapy due to their special PK properties mentioned above, it can be assumed that the explanation for phage therapy being occasionally successful is phages' ability to replicate and compensate for a low dose. Different mathematical models and experiments with phages-bacteria, in batch or continuous cultures, have contributed to the understanding of their kinetics during in vitro infection (21)(22)(23)45,(50)(51)(52)(53). With basic mathematical models, it is easy to show that any virulent phage with ordinary infection characteristics will completely eliminate all bacteria if the titres of phages and bacteria are sufficiently high and if the bacteria are not allowed to become resistant (50).…”
Section: Phage Pharmacodynamicsmentioning
confidence: 99%
“…Previous studies on coexistence of phages and bacteria mostly focused on well-mixed, nearly homeostatic systems, such as cultures grown in chemostats [17][18][19][20][21][22][23]. Naturally occurring systems of phages and bacteria, however, often do not satisfy the conditions found under these defined laboratory settings.…”
Section: Introductionmentioning
confidence: 99%