Analysis of N-acylhomoserine lactone dynamics in continuous cultures of Pseudomonas putida IsoF by use of ELISA and UHPLC/qTOF-MS-derived measurements and mathematical models

Buddrus-Schiemann, Katharina; Rieger, Martin; Mühlbauer, Marlene; Barbarossa, Maria Vittoria; Kuttler, Christina; Hense, Burkhard A.; Rothballer, Michael; Uhl, Jenny; Fonseca, Juliano; Schmitt‐Kopplin, Philippe; Schmid, Michael; Hartmann, Anton

doi:10.1007/s00216-014-8063-6

Cited by 22 publications

(40 citation statements)

References 42 publications

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“…In both the batch [16] and the continuous culture experiments [18], maximum concentrations of detected AHLs were followed by a rapid degradation of AHLs to Homoserines, indicating the presence of extracellular enzymatic activity. It is reasonable to assume that the AHL-degrading enzyme is a Lactonase [16], whose production or activation could also be initiated by polymers of the PpuR-AHL complex.…”

Section: Lactonase Regulates Ahl Degradationmentioning

confidence: 95%

“…Thus, just a constant basic production of the receptor PpuR is considered, as in [10,11,17]. Further, we assume as in [16][17][18] that PpuR-AHL n-mers induce synthesis of Lactonase molecules. A schematic representation of this regulatory pathway is given in Figure 1.…”

Section: Regulatory Pathway In One Cellmentioning

confidence: 99%

“…It turned out by experimental observations [16,18] that a further process plays a major role in the AHL dynamics. In both the batch [16] and the continuous culture experiments [18], maximum concentrations of detected AHLs were followed by a rapid degradation of AHLs to Homoserines, indicating the presence of extracellular enzymatic activity.…”

Section: Lactonase Regulates Ahl Degradationmentioning

confidence: 99%

“…Several model approaches have also been proposed for Pseudomonas putida, in closed systems (batch) as well as in continuous cultures (chemostat) [16][17][18]. The goal of this manuscript is to review such models, investigating mathematical properties and principles underlying the equations.…”

Section: Introductionmentioning

confidence: 99%

“…To this purpose, we compare the DDE system (with a constant delay, τ > 0) to the associated ODE system (τ = 0), studying delay-induced stability switches. In the last part of Section 3, model parameters are fitted to experimental data from [18], indicating that in the long run the reduced model is sufficient to explain and predict the general behavior of the system.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Bacteria Communication in Continuous Cultures

Barbarossa

Kuttler²

2016

Applied Sciences

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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 (delayed) negative feedback mechanism. Results are shown concerning fundamental properties of solutions, such as existence, uniqueness, and non-negativity; the last feature is crucial for mathematical models in biology and is often violated when working with DDEs. The qualitative behavior of solutions is investigated, especially the stationary states and their stability. It is shown that for a certain choice of parameter values, the system presents stability switches with respect to the delay. On the other hand, when the delay is set to zero, a Hopf bifurcation might occur with respect to one of the negative feedback parameters. Model parameters are fitted to experimental data, indicating that the delay system is sufficient to explain and predict the biological observations.

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Section: Lactonase Regulates Ahl Degradationmentioning

confidence: 95%

Section: Regulatory Pathway In One Cellmentioning

confidence: 99%

Section: Lactonase Regulates Ahl Degradationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Bacteria Communication in Continuous Cultures

Barbarossa

Kuttler²

2016

Applied Sciences

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Differential Equations Models to Study Quorum Sensing

Pérez-Velázquez

Hense

2017

Methods in Molecular Biology

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Mathematical models to study quorum sensing (QS) have become an important tool to explore all aspects of this type of bacterial communication. A wide spectrum of mathematical tools and methods such as dynamical systems, stochastics, and spatial models can be employed. In this chapter, we focus on giving an overview of models consisting of differential equations (DE), which can be used to describe changing quantities, for example, the dynamics of one or more signaling molecule in time and space, often in conjunction with bacterial growth dynamics. The chapter is divided into two sections: ordinary differential equations (ODE) and partial differential equations (PDE) models of QS. Rates of change are represented mathematically by derivatives, i.e., in terms of DE. ODE models allow describing changes in one independent variable, for example, time. PDE models can be used to follow changes in more than one independent variable, for example, time and space. Both types of models often consist of systems (i.e., more than one equation) of equations, such as equations for bacterial growth and autoinducer concentration dynamics. Almost from the onset, mathematical modeling of QS using differential equations has been an interdisciplinary endeavor and many of the works we revised here will be placed into their biological context.

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Detection of the Bacterial Quorum-Sensing Signaling Molecules N-Acyl-Homoserine Lactones (HSL) and N-Acyl-Homoserine (HS) with an Enzyme-Linked Immunosorbent Assay (ELISA) and via Ultrahigh-Performance Liquid Chromatography Coupled to Mass Spectrometry (UHPLC-MS)

Rothballer

Uhl

Kunze

et al. 2017

Methods in Molecular Biology

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Quick and reliable quantitative methods requiring low amounts of sample volume are needed for the detection of N-acyl-homoserine lactones (HSL) and their degradation products N-acyl-homoserines (HS) in order to elucidate the occurrence and dynamics of these prevalent quorum-sensing molecules of Gram-negative bacteria in natural samples and laboratory model experiments. A combination of ELISA and UHPLC-MS is presented here which has proven to meet these requirements. Both methods can not only precisely detect and quantify HSLs but also their degradation products HS and thereby enable studying signaling dynamics in quorum sensing, which have been identified to play an essential role in bacterial communication.

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Analysis of N-acylhomoserine lactone dynamics in continuous cultures of Pseudomonas putida IsoF by use of ELISA and UHPLC/qTOF-MS-derived measurements and mathematical models

Cited by 22 publications

References 42 publications

Mathematical Modeling of Bacteria Communication in Continuous Cultures

Mathematical Modeling of Bacteria Communication in Continuous Cultures

Differential Equations Models to Study Quorum Sensing

Detection of the Bacterial Quorum-Sensing Signaling Molecules N-Acyl-Homoserine Lactones (HSL) and N-Acyl-Homoserine (HS) with an Enzyme-Linked Immunosorbent Assay (ELISA) and via Ultrahigh-Performance Liquid Chromatography Coupled to Mass Spectrometry (UHPLC-MS)

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