Maximizing yields of virulent phage: The T4/Escherichia coli system as a test case

A hybrid mathematical model was devised to obtain optimal values for bacterial doubling time and initial phage/bacteria multiplicity of infection for the purpose of reaching the highest possible phage titers in steady-state exponentially growing cultures. The computational model consists of an initi...

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Bibliographic Details
Published in:Journal of theoretical biology 2015-01, Vol.364, p.428-432
Main Authors: Aviram, Ira, Rabinovitch, Avinoam, Zaritsky, Arieh
Format: Article
Language:English
Subjects:
Algorithms
Bacterial Physiological Phenomena
Bacteriophage T4 - physiology
Computer Simulation
Delayed-differential equations
Doubling time
Escherichia coli
Escherichia coli - virology
Maximal bacteriophage titer
Models, Theoretical
Multiplicity of infection
Probability
Reproducibility of Results
Virulence
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Summary:A hybrid mathematical model was devised to obtain optimal values for bacterial doubling time and initial phage/bacteria multiplicity of infection for the purpose of reaching the highest possible phage titers in steady-state exponentially growing cultures. The computational model consists of an initial probabilistic stage, followed by a second one processed by a system of delayed differential equations. The model’s approach can be used in any phage/bacteria system for which the relevant parameters have been measured. Results of a specific case, based on the detailed, known information about the interactions between virulent T4 phage and its host bacterium Escherichia coli, display a range of possible such values along a highlighted strip of parameter values in the relevant parameter plane. In addition, times to achieve these maxima and gains in phage concentrations are evaluated. •Maximum phage titers calculated.•Calculations carried out by a novel hybrid model.•T4 phage/Escherichia coli host system used as test case.
ISSN:0022-5193
1095-8541
DOI:10.1016/j.jtbi.2014.09.020