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Mathematical Models of Plasmid Partitioning in Unicellular Bacteria and in Streptomycetes

  • G. Müller
  • A. Stock
  • J.-U. Löbus
  • M. Roth
Part of the Federation of European Microbiological Societies Symposium Series book series (FEMS, volume 55)

Abstract

Numerous experimental and theoretical treatments are known which describe plasmid inheritance processes in unicellular microorganisms (Novick and Hoppensteadt, 1978, Cullum and Broda, 1979, Müller et al., 1982, Seneta and Tavare, 1983, Müller, 1987). We have developed a Markov chain model which allows us to study extensively the segregation process from one generation to the next as a result of two processes, replication and partitioning of the plasmid copies. Different modes of plasmid replication and partitioning were modelled and relevant parameters were calculated. In comparison with these mathematical studies we have examined the process of plasmid partitioning in streptomycetes by using a complex mathematical model. The evolution of the plasmid copy number in the course of partitioning without replication was studied theoretically.

Keywords

Mycelial Growth Markov Chain Model Plasmid Copy Plasmid Copy Number Segregation Rate 
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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • G. Müller
    • 1
  • A. Stock
    • 2
  • J.-U. Löbus
    • 2
  • M. Roth
    • 1
  1. 1.Central Institute of Microbiology and Experimental TherapyAcademy of Sciences of GDRJenaGermany
  2. 2.Department of MathematicsFriedrich Schiller UniversityJenaGermany

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