2016
DOI: 10.3390/app6050149
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Mathematical Modeling of Bacteria Communication in Continuous Cultures

Abstract: Quorum sensing is a bacterial cell-to-cell communication mechanism and is based on gene regulatory networks, which control and regulate the production of signaling molecules in the environment. In the past years, mathematical modeling of quorum sensing has provided an understanding of key components of such networks, including several feedback loops involved. This paper presents a simple system of delay differential equations (DDEs) for quorum sensing of Pseudomonas putida with one positive feedback plus one (… Show more

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Cited by 7 publications
(5 citation statements)
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“…In addition to the modeling of QS systems with ODE and PDE approaches, the QS system modeling based on the delay differential equations (DDEs) was also proposed. Barbarossa et al [37] focused on the QS system in Gram-negative bacteria of the species Pseudomonas putida. The network includes a negative feedback via the degradation enzyme of auto-inducer, leading to the time delay of the system.…”
Section: Mathematical Modeling Of the Qs Systems Inmentioning
confidence: 99%
“…In addition to the modeling of QS systems with ODE and PDE approaches, the QS system modeling based on the delay differential equations (DDEs) was also proposed. Barbarossa et al [37] focused on the QS system in Gram-negative bacteria of the species Pseudomonas putida. The network includes a negative feedback via the degradation enzyme of auto-inducer, leading to the time delay of the system.…”
Section: Mathematical Modeling Of the Qs Systems Inmentioning
confidence: 99%
“…Mathematical modeling has been a useful tool to answer basic and conceptual research questions in microbial physiology. In the last decade, mathematical modeling of QS has provided understanding to key components of QS networks 20 . It has been used to examine P. aeruginosa LasR/I circuit and predict the biochemical switch between two steady states of system (low and high levels of signal perception) and QS response to colony size and cell density 21 .…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modeling has been a useful tool to answer basic and conceptual research questions. In the last decade, mathematical modeling of QS has provided understanding to key components of the QS networks 20 . It has been used to examine P. aeruginosa LasR/I circuit and predict the biochemical switch between two steady states of system (low and high levels of signal perception) and QS response to colony size and cell density 21 .…”
Section: Introductionmentioning
confidence: 99%