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

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2 Scopus citations


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.

Original languageEnglish
Pages (from-to)428-432
Number of pages5
JournalJournal of Theoretical Biology
StatePublished - 7 Jan 2015


  • Delayed-differential equations
  • Doubling time
  • Maximal bacteriophage titer
  • Multiplicity of infection
  • Probability

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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