Analysis of spontaneous emergence of cell polarity with delayed negative feedback

Liu, Yue; Lo, Wing Cheong

doi:10.3934/mbe.2019068

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…[4] proposed an ODE system based on three proteins to understand cell polarity oscillations with the polarity reversal of bacteria cells during rippling (accordion-like movements) [25]. [12] proposed a delay reaction-diffusion equation with a nonlocal term for studying the effects of a delayed negative feedback on cell polarity oscillations with the aid of numerical simulations. Recently, [28] generalized the ODE system in [4], and proposed an ODE system that generates four different mechanisms for switching cell polarity, including a mechanism to generate the periodic reversal of polarity.…”

Section: Introductionmentioning

confidence: 99%

Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation

Kuwamura

Izuhara

2022

J. Math. Biol.

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We investigate the oscillatory dynamics and bifurcation structure of a reaction-diffusion system with bistable nonlinearity and mass conservation, which was proposed by [Otsuji et al, PLoS Comp. Biol. 3 (2007), e108]. The system is a useful model for understanding cell polarity formation. We show that this model exhibits four different spatiotemporal patterns including two types of oscillatory patterns, which can be regarded as cell polarity oscillations with the reversal and non-reversal of polarity, respectively. The trigger causing these patterns is a diffusion-driven (Turing-like) instability. Moreover, we investigate the effects of extracellular signals on the cell polarity oscillations.

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Section: Introductionmentioning

confidence: 99%

Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation

Kuwamura

Izuhara

2022

J. Math. Biol.

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show abstract

“…Recently, [19] generalized the ODE system in [4], and proposed an ODE system which gives four different mechanisms for switching cell polarity, including a mechanism to generate the periodic reversal of polarity. [11] proposed a delay reaction-diffusion equation with nonlocal term for studying the effects of delayed negative feedback on cell polarity oscillations with the aid of numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

Oscillations and Bifurcation Structure of Reaction-Diffusion Model for Cell Polarity Formation

Kuwamura,

Izuhara,

2021

Preprint

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We investigate the oscillatory dynamics and bifurcation structure of a reaction-diffusion model for cell polarity formation in [Otsuji et al, PLoS Comp. Biol. 3 (2007), e108]. We show that this model can represent formation processes from a homogeneous initial cell to a polarized cell. The polarized cells can be classified into three types including the type of cell polarity oscillations. In particular, it is shown that the Turing instability can be a trigger which eventually leads to cell polarity oscillations with the reversal of polarity as observed in bacteria cells and melanoma cells. Moreover, we investigate the effect of extracellular signaling on cell polarity oscillations.

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Mathematical Modeling of Cell Polarity Establishment of Budding Yeast

Liu

Xie²,

Park³

et al. 2023

Commun. Appl. Math. Comput.

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Analysis of spontaneous emergence of cell polarity with delayed negative feedback

Cited by 4 publications

References 29 publications

Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation

Oscillations and bifurcation structure of reaction–diffusion model for cell polarity formation

Oscillations and Bifurcation Structure of Reaction-Diffusion Model for Cell Polarity Formation

Mathematical Modeling of Cell Polarity Establishment of Budding Yeast

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