Modelling conjugation with stochastic differential equations
作者： K.R. Philipsen , L.E. Christiansen , H. Hasman , H. Madsen
DOI: 10.1016/J.JTBI.2009.11.011
关键词: Stochastic differential equation 、 Mathematical optimization 、 Mathematics 、 Likelihood-ratio test 、 Stochastic process 、 Akaike information criterion 、 Dynamical systems theory 、 Biological system 、 Discrete time and continuous time 、 Noise (electronics) 、 Markov chain 、 General Biochemistry, Genetics and Molecular Biology 、 Modelling and Simulation 、 Statistics and Probability 、 General Immunology and Microbiology 、 Applied mathematics 、 General Agricultural and Biological Sciences 、 General Medicine
摘要: Conjugation is an important mechanism involved in the transfer of resistance between bacteria. In this article a stochastic differential equation based model consisting continuous time state and discrete measurement introduced to growth conjugation two Enterococcus faecium strains rich exhaustible media. The contains new expression for substrate dependent rate. A maximum likelihood method used estimate parameters. Different models including different noise structure system observations are compared using likelihood-ratio test Akaike's information criterion. Experiments indicating on agar plates selecting transconjugants motivates introduction extended model, which plate described equation. This without conjugation. modelling approach can be applied generally when dynamical systems.
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