Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor |
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| Authors: | S B Hsu Ting-Kung Luo Paul Waltman |
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| Institution: | (1) Institute of Applied Mathematics, National Tsing-Hua University, 30043 Hsinchu, Taiwan, R.O.C.;(2) Department of Mathematics, Emory University, 30345 Atlanda, GA, USA |
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| Abstract: | A model of competition in the chemostat with an inhibitor is combined with a model of competition in the chemostat between plasmid-bearing and plasmid-free organism to produce a model that more closely approximates the way chemostat-like devices are used in biotechnology. The asymptotic behavior of the solutions of the resulting system of nonlinear differential equations is analyzed as a function of the relevant parameters. The techniques are those of dynamical systems although perturbation techniques are used when the parameter reflecting plasmid-loss is small.Research Supported by National Council of Science, Republic of ChinaResearch Supported by National Science Foundation Grant MCS 9204490 |
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