.png){kind=icon}
返回
Pattern forming systems coupling linear bulk diffusion to dynamically active membranes or cells
.png){kind=icon}
PRE
AI
DOI：10.1098/rsta.2020.0276.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Some analytical and numerical results are presented for pattern formation properties associated with novel types of reaction-diffusion (RD) systems that involve the coupling of bulk diffusion in the interior of a multi-dimensional spatial domain to nonlinear processes that occur either on the domain boundary or within localized compartments that are confined within the domain. The class of bulk-membrane system considered herein is derived from an asymptotic analysis in the limit of small thickness of a thin domain that surrounds the bulk medium. When the bulk domain is a two-dimensional disk, a weakly nonlinear analysis is used to characterize Turing and Hopf bifurcations that can arise from the linearization around a radially symmetric, but spatially non-uniform, steady-state of the bulk-membrane system. In a singularly perturbed limit, the existence and linear stability of localized membrane-bound spike patterns is analysed for a Gierer-Meinhardt activator-inhibitor model that includes bulk coupling. Finally, the emergence of collective intracellular oscillations is studied for a class of PDE-ODE bulk-cell model in a bounded two-dimensional domain that contains spatially localized, but dynamically active, circular cells that are coupled through a linear bulk diffusion field. Applications of such coupled bulk-membrane or bulk-cell systems to some biological systems are outlined, and some open problems in this area are discussed. This article is part of the theme issue 'Recent progress and open frontiers in Turing's theory of morphogenesis'.
Keyword:
bulk-membrane coupled system
quorum and diffusion sensing
bifurcation
Green's function
synchrony
spikes
期刊
P
IF:
3.7
论文数:
7.8K
被引数:
2.8W
机构
引用论文
Cyclic AMP oscillations in Dictyostelium discoideum:: models and observations盘基网柄菌的循环AMP振荡:: 模型和观察
.png){kind=icon}
PREAI
分享收藏
Characteristics of a cucurbit[5]uril adsorption layer on the electrode/solution interface电极/溶液界面处瓜环[5]吸附层的特性
PREAI
分享收藏Cytomegalovirus induction of tumor necrosis factor-alpha by human monocytes and mucosal macrophages.
OAAI
OAAI分享收藏Sustainable porous hollow carbon spheres with high specific surface area derived from Kraft lignin来自硫酸盐木质素的高比表面积可持续多孔中空碳球
PREAI
分享收藏Electrospun Polyvinyl Alcohol/Nanodiamond Composite Scaffolds: Morphological, Structural, and Biological Analysis静电纺丝聚乙烯醇/纳米金刚石复合支架: 形态，结构和生物学分析
PREAI
分享收藏
查看更多内容