On the Influence of Quorum Sensing in the Competition Between Bacteria and Immune System of Invertebrates

Fergola, P.; Zhang, Juan; Cerasuolo, Marianna; Ma, Zhien; Ricciardi, Luigi M.; Buonocore, Aniello; Pirozzi, Enrica

doi:10.1063/1.2965091

Cited by 7 publications

(7 citation statements)

References 7 publications

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“…In [6], through a macroscopic and qualitative approach, the influence of the Q.S. mechanism on the outcome of the competition has been taken into account.…”

Section: Discussionmentioning

confidence: 99%

“…The competition between bacteria and innate immune system of invertebrates has been investigated in [6] by means of a four ODEs system. In [6], through a macroscopic and qualitative approach, the influence of the Q.S.…”

Section: Discussionmentioning

confidence: 99%

“…having the interior cone property, the following inequality holds [3,10] ∇ϕ 2 + δϕ ∂Ω ≥ᾱ ϕ 2 (6) with δ = β *…”

Section: Preliminariesmentioning

confidence: 99%

“…The mathematical model suggested here, which describes such a competition, is built by keeping the same lines of modelling used in [6] where intracellular bacterial infection in invertebrates has been first studied.…”

mentioning

confidence: 99%

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On the influence of diffusion on the competition between bacteria and innate immune system of invertebrates

Cerasuolo¹

2010

Ricerche mat.

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The influence of diffusion on the competition between bacteria and innate immune system of invertebrate animals is described by means of a system of two nonlinear reaction-diffusion equations, with constant coefficients. The existence of absorbing sets, corresponding to the coexistence of the two competing populations, is proven. The linear and non-linear stability properties of the solutions are analysed as well as the stability switches due to the diffusion.

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“…In [6], through a macroscopic and qualitative approach, the influence of the Q.S. mechanism on the outcome of the competition has been taken into account.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…having the interior cone property, the following inequality holds [3,10] ∇ϕ 2 + δϕ ∂Ω ≥ᾱ ϕ 2 (6) with δ = β *…”

Section: Preliminariesmentioning

confidence: 99%

mentioning

confidence: 99%

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On the influence of diffusion on the competition between bacteria and innate immune system of invertebrates

Cerasuolo¹

2010

Ricerche mat.

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“…Majority mathematical models have been formulated to study the bacteria-immune dynamics behavior. For example, Fergola et al [6] firstly constructed an ODEs model to characterize the competition between bacteria and innate immune system, and found that the quorum sensing term in the model significantly influenced the stability of the meaningful steady-state solutions. Zhang et al [7] [8] formulated delay differential equations (abbr.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of a Bacteria-Immunity System with the Influence of Quorum Sensing Signal Molecule

Zhang¹

2016

JAMP

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A recent study illustrates an exciting new element of bacteria-host interactions in which the opportunistic pathogen Pseudomonas aeruginosa quorum sensing signal molecule can modulate the host immune system. In this paper, on the basic of a model which describes the competition between bacteria and immune system, a mathematical model is proposed to investigate the modulation of quorum sensing signal molecule on immune response. It is shown that the modulation leads to a backward bifurcation and some more new dynamical behaviors. By numerical simulations, we find a fold bifurcation of equilibria, which induces three patterns of dynamical behaviors including the bistable phenomenon. Our model quantifies the modulation of quorum sensing signal molecule on the immune response, which may provide a therapy for bacteria infections.

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Hopf bifurcation of a bacteria-immunity system with delayed quorum sensing

Zhang

Suo

2010

Applied Mathematics and Computation

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On the Influence of Quorum Sensing in the Competition Between Bacteria and Immune System of Invertebrates

Cited by 7 publications

References 7 publications

On the influence of diffusion on the competition between bacteria and innate immune system of invertebrates

On the influence of diffusion on the competition between bacteria and innate immune system of invertebrates

Mathematical Model of a Bacteria-Immunity System with the Influence of Quorum Sensing Signal Molecule

Hopf bifurcation of a bacteria-immunity system with delayed quorum sensing

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