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A mathematical model for lambda dv plasmid replication: analysis of copy number mutants.

S B Lee, J E Bailey

    Plasmid
    |March 1, 1984
    PubMed
    Summary
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    A mathematical model simulates lambda dv plasmid replication in Escherichia coli. It accurately predicts how mutations affect plasmid copy number and maintenance, aiding genetic analysis.

    Area of Science:

    • Molecular biology
    • Genetics
    • Computational biology

    Background:

    • Lambda dv plasmids are essential for bacteriophage lambda propagation.
    • Understanding plasmid replication control is key to genetic engineering and phage biology.
    • Previous models lacked detailed molecular insights into replication dynamics.

    Purpose of the Study:

    • To develop and validate a mathematical model for lambda dv plasmid replication.
    • To simulate the impact of specific genetic mutations on plasmid copy number.
    • To provide a framework for relating genetic alterations to host-plasmid system function.

    Main Methods:

    • Mathematical modeling of molecular control mechanisms.
    • Simulation of Escherichia coli single-cell replication.

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  • Analysis of mutant lambda dv plasmids, including promoter-operator (PROR) region mutations.
  • Incorporation of factors like repressor level, oligomer formation, and termination efficiency (tR1).

    • Main Results:

    • Model simulations align with experimental data for repressor level and copy number changes due to PROR mutations.
    • Calculated effects of oligomer formation and tR1 alterations on copy number match experimental findings.
    • Simulations successfully predict the influence of cro mutants and cro/tR1 double mutants on plasmid stability and copy number.

    Conclusions:

    • The developed replicon model accurately reflects lambda dv plasmid replication dynamics.
    • The model successfully links specific genetic loci mutations to altered host-plasmid system function.
    • This framework aids in understanding and predicting the behavior of genetically modified plasmids.