Results 71 to 80 of about 5,421,281 (277)
Turing instability and pattern formations for reaction-diffusion systems on 2D bounded domain
Discrete & Continuous Dynamical Systems - B, 2021 In this article, Turing instability and the formations of spatial patterns for a general two-component reaction-diffusion system defined on 2D bounded domain, are investigated.
Weihua Jiang, Xun Cao, Chuncheng Wang
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Most stable patterns among three-dimensional Turing patterns [PDF]
Japan Journal of Industrial and Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shoji, Hiroto, Yamada, Kohtaro
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Reaction-diffusion models for biological pattern formation [PDF]
, 2001 We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples.
Crampin, E. J., Maini, P. K.
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Turing instability in an economic–demographic dynamical system may lead to pattern formation on a geographical scale [PDF]
Journal of the Royal Society Interface, 2020 Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e.
A. Zincenko +3 more
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Turing Patterns and Biological Explanation [PDF]
Disputatio, 2017 AbstractTuring patterns are a class of minimal mathematical models that have been used to discover and conceptualize certain abstract features of early biological development. This paper examines a range of these minimal models in order to articulate and elaborate a philosophical analysis of their epistemic uses.
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Noise–Seeded Developmental Pattern Formation in Filamentous Cyanobacteria
Life, 2018 Under nitrogen-poor conditions, multicellular cyanobacteria such as Anabaena sp. PCC 7120 undergo a process of differentiation, forming nearly regular, developmental patterns of individual nitrogen-fixing cells, called heterocysts, interspersed between ...
Rinat Arbel-Goren +3 more
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Nonlinear Analysis, 2021 In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao +2 more
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Spatial pattern formation in chemical and biological systems [PDF]
, 1997 One of the central issues in developmental biology is the formation of spatial pattern in the embryo. A number of theories have been proposed to account for this phenomenon.
Chau, H. N. P. +2 more
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Advanced Materials, EarlyView.A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song +14 more
wiley +1 more source
Complexity, 2019 The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map ...
Tousheng Huang +5 more
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