Abstract
Predicting the fate of horizontally transmissible elements in extant microbial communities might be facilitated by the availability of suitable mathematical models. Since the mid-1970s, mass action models have been introduced to describe the transfer of conjugal and mobilizable genetic elements. This chapter will summarize and explain the assumptions behind spatially homogenous models, and show the predictions by these models under typical scenarios, such as evaluating existence conditions of conjugal plasmids under chemostat or seasonal growth conditions. Special attention is given to the sensitivity of the outcomes to the various plasmid dynamic parameters. For our analysis, we developed a set of user-friendly MatLab® routines, which are deposited in the public domain. We hope that the availability of these routines will encourage the computationally untrained microbiologist to make use of these mathematical models. Finally, further permutations, as well as limitations of these mass action models in view of the structured complexity of most microbial systems are addressed.
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References
Levin, B. R., Stewart, F. M., Rice, V. E. (1979) The kinetics of conjugative plasmid transmission: Fit of a single mass action model. Plasmid 2, 247–60.
Stewart, F. M., Levin, B. R. (1977) The population biology of bacterial plasmids. A priori conditions for the existence of conjugationally transmitted factors. Genet 87, 209–28.
Levin, B. R., Rice, V. A. (1980) The kinetics of transfer of nonconjugative plasmids by mobilizing conjugative factors. Genet Res Camb 35, 241–59.
Levin, B. R., Stewart, F. M. (1980) The population biology of bacterial plasmids: A priori conditions for the existence of mobilizable nonconjugative factors. Genet 94, 425–43.
Lundquist, P. D., Levin, B. R. (1986) Transitory depression and the maintenance of conjugative plasmids. Genet 113, 483–97.
Lagido, C., Wilson, I. J., et al. (2003). A model for bacterial conjugal gene transfer on solid surfaces. FEMS Microbiol Ecol 44(1), 67–78.
Bergstrom, C. T., Lipsitch, M., Levin, B. R. (2000) Natural selection, infectious transfer and the existence conditions for bacterial plasmids. Genet 155, 1505–19.
Simonsen, L. (1991) The existence conditions for bacterial plasmids: Theory and reality. Microb Ecol 22, 187–205.
Dahlberg, C., Chao, L. (2003) Amelioration of the cost of conjugative plasmid carriage in eschericha coli k12. Genet 165, 1641–9.
Dionisio, F., Conceicao, I. C., Marques, A. C., Fernandes, L., Gordo, I. (2005) The evolution of a conjugative plasmid and its ability to increase bacterial fitness. Biol Lett 1, 250–2.
Simonsen, L., Gordon, D. M., Stewart, F. M., Levin, B. R. (1990) Estimating the rate of plasmid transfer: An end-point method. J Gen Microbiol 136, 2319–25.
Gordon, D. M. (1992) Rate of plasmid transfer among escherichia coli strains isolated from natural populations. J Gen Microbiol 138, 17–21.
Freter, R., Freter, R. R., Brickner, H. (1983) Experimental and mathematical models of Escherichia coli plasmid transfer in vitro and in viro. Infect Immun 39, 60–84.
Smets, B. F., Rittmann, B. E., Stahl, D. A. (1993) The specific growth rate of Pseudomonas putida paw1 influences the conjugal transfer rate of the tol plasmid. Appl Environ Microbiol 59, 3430–7.
Smets, B. F., Rittmann, B. E., Stahl, D. A. (1995) Quantification of the effect of substrate concentration on the conjugal transfer rate of the tol plasmid in short-term batch mating experiments. Lett Appl Microb 21, 167–72.
Macdonald, J. A., Smets, B. F., Rittmann, B. E. (1992) The effects of energy availability on the conjugative transfer kinetics of plasmid rp4. Wat Res 26, 461–8.
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Smets, B.F., Lardon, L. (2009). Mass Action Models Describing Extant Horizontal Transfer of Plasmids: Inferences and Parameter Sensitivities. In: Gogarten, M.B., Gogarten, J.P., Olendzenski, L.C. (eds) Horizontal Gene Transfer. Methods in Molecular Biology, vol 532. Humana Press. https://doi.org/10.1007/978-1-60327-853-9_17
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DOI: https://doi.org/10.1007/978-1-60327-853-9_17
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