Numerical Modeling of The Quorum Sensing In a Bacterial Biofilm
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In the present paper we propose a bi-dimensional non-linear reaction-diffusion model de-scribing the action of antibiotics as well as quorum sensing inhibitors agents on the virulence of bacteria biofilms. We thus approximate the system by a standard finite element scheme in space and an implicit Euler method in time. We prove the existence and uniqueness of a solution to this system and prove its convergence to a weak solution of the model we introduce. We present numerical results for simulating the quorum sensing of the very human pathogenic bacteria Pseudomenas aeruginosa.
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2017 ◽
Vol 137
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pp. 76-87
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2005 ◽
Vol 26
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pp. S20
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2012 ◽
Vol 57
(21)
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pp. 1964-1977
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2006 ◽
Vol 4
(2)
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pp. 55-64
2003 ◽
Vol 58
(11-12)
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pp. 879-884
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