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[A mathematical model of the incompatibility of plasmids using a mechanism of master replication]. 1988

A P Zlatkovskiĭ

A mathematical model of incompatibility for plasmids that use master-replication was worked out. Formulas for calculating the segregation velocity of two incompatible plasmids and for determining the number of cell generations (l gamma), necessary to achieve a gamma-share of polyplasmid cells are given. It is shown that l gamma strives to -8 lg gamma with the increase of the copy number N, i.e. it does not depend on N. This is the main distinction of model presented from those by Novick at al. and Ishii et al., who consider the mechanisms of regular and random replication. For these mechanisms l gamma increases proportional to N. So, at N greater than 30, the difference between l gamma, calculated for the master-replication and the random replication exceeds 10. This allows to determine the mechanism of replication used by the plasmid by measuring the velosity of incompatible plasmids segregation.

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D010957 Plasmids Extrachromosomal, usually CIRCULAR DNA molecules that are self-replicating and transferable from one organism to another. They are found in a variety of bacterial, archaeal, fungal, algal, and plant species. They are used in GENETIC ENGINEERING as CLONING VECTORS. Episomes,Episome,Plasmid
D004261 DNA Replication The process by which a DNA molecule is duplicated. Autonomous Replication,Replication, Autonomous,Autonomous Replications,DNA Replications,Replication, DNA,Replications, Autonomous,Replications, DNA

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