Abstract
This paper presents two mathematical models for plasmid segregation processes of bacteria containing a single plasmid species with various copies. A Markov chain model allows to study the general properties of these processes for stable inheritance of the plasmid and for plasmid loss during continuous culture. The other, more specialized model is based upon the following assumptions: (1) random replication of the plasmid copies concerning the replicated copy number, (2) equal number partitioning of the copies after replication into the daughter cell.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. Adams, Th. Kinney, S. Thompson, L. Rubin and R. B. Helling, Genetics,91, 627, 1979.
D. Godwin and J. H. Slater, J. Gen. Microbiol.,111, 201, 1979.
M. Roth, G. Müller and D. Noack, Loss of the multi-copy resistance plasmid pBR 325 from Escherichia coli GY 2354 pBR 325 during continuous cultivation. In: S. Mitsuhashi, L. Rosival and V. Kromery, (eds.) Antibiotic resistance, Avicenum and Springer Verlag, Prague, Berlin, Heidelberg, New York, 1980, p. 143.
I. M. Jones, S. B. Primose, A. Robinson and D. C. Ellwood, Mol. Gen. Genet.,180, 579, 1980.
D. Noack, M. Roth, R. Geuther, G. Müller, K. Undisz, Ch. Hoffmeier and S. Gaspar, Mol. Gen. Genet.,184, 121, 1981.
S. Baumberg, Genet. Res. Camb.,28, 11, 1976.
F. M. Stewart and B. R. Levin, Genetics,87, 209, 1977.
B. R. Levin, F. M. Stewart and V. A. Rice, Plasmid,2, 247, 1979.
B. R. Levin and F. M. Stewart, Genetics,94, 425, 1980.
B. R. Levin and V. A. Rice, Genet, Res. Camb.,35, 241, 1980.
R. P. Novick and R. Brodeky, J. Mol. Biol.68, 285, 1972.
R. Novick, I. Wyman, D. Bonanchand and E. Murphy, Plasmid life cycles in Staphylococcus aureus. In “Microbiology — 1974” (D. Schlessinger ed.) pp. 115–129. Amer. Soc. Microbiol., Washington, D. C., 1975.
R. P. Novick and M. Schwesinger, Nature (London),262, 623, 1976.
B. E. Uhlin and K. Nordström, J. Bacteriol.,124, 641, 1975.
J. Cullum and P. Broda, Genet. Res. Camb.,35, 241, 1980.
S. Molin and K. Nordström, J. Bacteriol,141, 111, 1980.
K. Nordström, S. Molin and H. Aagaard-Hansen, Plasmid,4, 215, (Part I), 332, (Part II), 1980.
T. Hashimoto-Gotoh and K. N. Timmis, Cell,23, 229, 1981.
K. Ishii, T. Hashimoto-Gotoh and K. Matsubara, Plasmid,1, 435, 1978.
R. P. Novick and F. F. C. Hoppensteadt, Plasmid,1, 421, 1978.
C. Cannings, Advan. Appl. Probab.,6, 260, 1974.
M. S. Bartlett, An Introduction to Stochastic Processes, University Press, Cambridge, 1955.
W. Feller, An Introduction to Probability Theory and its Applications, Vol.1, John Wiley and Sons, Inc., New York, London, Sydney, 1968.
T. Hashimoto-Gotoh and M. Sekiguchi, J. Bacteriol.,131, 405, 1977.
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. I. Tarján on his 70th birthday.
Rights and permissions
About this article
Cite this article
Müller, G., Noack, D., Schorcht, R. et al. Mathematical modelling of segregation processes in microbial populations containing a single plasmid species. Acta Physica 53, 255–262 (1982). https://doi.org/10.1007/BF03156195
Issue Date:
DOI: https://doi.org/10.1007/BF03156195