Abstract
The success of a phage that infects a bacterial cell possessing a restriction-modification (R-M) system depends on the activities of the host methyltransferase and restriction endonuclease, and the number of susceptible sites in the phage genome. However, there is no model describing this dependency and linking it to observable parameters such as the fraction of surviving cells under excess phage, or probability of plating at low amount of phages. We model the phage infection of a cell with a R-M system as a pure birth process with a killing state. We calculate the transitional probabilities and the stationary distribution for this process. We generalize the model developed for a single cell to the case of multiple identical cells invaded by a Poisson-distributed number of phages. The R-M enzyme activities are assumed to be constant, time-dependent, or random. The obtained results are used to estimate the ratio of the methyltransferase and endonuclease activities from the observed fraction of surviving cells.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 550-559 |
| Number of pages | 10 |
| Journal | Journal of Theoretical Biology |
| Volume | 266 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 1 2010 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modeling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics
Keywords
- Enzyme activities ratio
- Methyltransferase
- Pure birth process with killing
- Restriction endonuclease
Cite this
}
Restriction-modification systems and bacteriophage invasion : Who wins? / Enikeeva, Farida N.; Severinov, Konstantin; Gelfand, Mikhail S.
In: Journal of Theoretical Biology, Vol. 266, No. 4, 01.10.2010, p. 550-559.Research output: Contribution to journal › Article
TY - JOUR
T1 - Restriction-modification systems and bacteriophage invasion
T2 - Who wins?
AU - Enikeeva, Farida N.
AU - Severinov, Konstantin
AU - Gelfand, Mikhail S.
PY - 2010/10/1
Y1 - 2010/10/1
N2 - The success of a phage that infects a bacterial cell possessing a restriction-modification (R-M) system depends on the activities of the host methyltransferase and restriction endonuclease, and the number of susceptible sites in the phage genome. However, there is no model describing this dependency and linking it to observable parameters such as the fraction of surviving cells under excess phage, or probability of plating at low amount of phages. We model the phage infection of a cell with a R-M system as a pure birth process with a killing state. We calculate the transitional probabilities and the stationary distribution for this process. We generalize the model developed for a single cell to the case of multiple identical cells invaded by a Poisson-distributed number of phages. The R-M enzyme activities are assumed to be constant, time-dependent, or random. The obtained results are used to estimate the ratio of the methyltransferase and endonuclease activities from the observed fraction of surviving cells.
AB - The success of a phage that infects a bacterial cell possessing a restriction-modification (R-M) system depends on the activities of the host methyltransferase and restriction endonuclease, and the number of susceptible sites in the phage genome. However, there is no model describing this dependency and linking it to observable parameters such as the fraction of surviving cells under excess phage, or probability of plating at low amount of phages. We model the phage infection of a cell with a R-M system as a pure birth process with a killing state. We calculate the transitional probabilities and the stationary distribution for this process. We generalize the model developed for a single cell to the case of multiple identical cells invaded by a Poisson-distributed number of phages. The R-M enzyme activities are assumed to be constant, time-dependent, or random. The obtained results are used to estimate the ratio of the methyltransferase and endonuclease activities from the observed fraction of surviving cells.
KW - Enzyme activities ratio
KW - Methyltransferase
KW - Pure birth process with killing
KW - Restriction endonuclease
UR - http://www.scopus.com/inward/record.url?scp=77955290534&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955290534&partnerID=8YFLogxK
U2 - 10.1016/j.jtbi.2010.07.006
DO - 10.1016/j.jtbi.2010.07.006
M3 - Article
C2 - 20633563
AN - SCOPUS:77955290534
VL - 266
SP - 550
EP - 559
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 4
ER -