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Items from 1 to 20 out of 1,527 results

article

Spatial dynamics of a nutrient–phytoplankton system with toxic effect on phytoplankton

Subhendu Chakraborty, P.K. Tiwari, A.K. Misra, J. Chattopadhyay, more

Mathematical Biosciences > 2015 > 264 > Complete > 94-100

The production of toxins by some species of phytoplankton is known to have several economic, ecological, and human health impacts. However, the role of toxins on the spatial distribution of phytoplankton is not well understood. In the present study, the spatial dynamics of a nutrient–phytoplankton system with toxic effect on phytoplankton is investigated. We analyze the linear stability of the system...

article

Noise induced pattern transition in a vegetation model

Gui-Quan Sun, Jing Li, Benguo Yu, Zhen Jin, more

Applied Mathematics and Computation > 2013 > 221 > Complete > 463-468

Vegetation plays an important role in the ecological environment and noise has effect on vegetation patterns. As a result, we give numerical evidences of a transition from spotted pattern to stripe growth induced by noise in a spatial vegetation model. Moreover, we show the density of the spatial pattern with respect to noise intensity and temporal correlation. The obtained results show that noise...

article

Species coexistence in resource‐limited patterned ecosystems is facilitated by the interplay of spatial self‐organisation and intraspecific competition

L. Eigentler

Oikos > 130 > 4 > 609 - 623

The exploration of mechanisms that enable species coexistence under competition for a sole limiting resource is widespread across ecology. Two examples of such facilitative processes are intraspecific competition and spatial self‐organisation. These processes determine the outcome of competitive dynamics in many resource‐limited patterned ecosystems, classical examples of which include dryland vegetation...

article

Laser‐Based Printing: From Liquids to Microstructures

Nina Armon, Ehud Greenberg, Eitan Edri, Ornit Nagler‐Avramovitz, more

Advanced Functional Materials > 31 > 13 > n/a - n/a

Assembly of materials into microstructures under laser guidance is attracting wide attention. The ability to pattern various materials and form 2D and 3D structures with micron/sub‐micron resolution and less energy and material waste compared with standard top‐down methods make laser‐based printing promising for many applications, for example medical devices, sensors, and microelectronics. Assembly...

article

Sensitivity of dryland vegetation patterns to storm characteristics

Octavia V. Crompton, Sally E. Thompson

Ecohydrology > 14 > 2 > n/a - n/a

Ecohydrological phenomena are o ften multiscale in nature, with behavioTur that emerges from the interaction of tightly coupled systems having characteristic timescales that differ by orders of magnitude. Models address these differences using timescale separation methods, where each system is held in psuedo‐steady state while the other evolves. When the computational demands of solving the ‘fast’...

article

The role of indirect prey‐taxis and interference among predators in pattern formation

Purnedu Mishra, Dariusz Wrzosek

Mathematical Methods in the Applied Sciences > 43 > 18 > 10441 - 10461

It is important to find biological factors that may lead to formation of patches in the distribution of species. We build a simple model describing a consumer/predator which, besides random dispersion, searches for food by moving toward the gradient of some chemical released by prey. This mechanism is referred as indirect prey‐taxis. The predator's rate of consumption is assumed to drop due to interference...

article

Turing vegetation patterns in a generalized hyperbolic Klausmeier model

Giancarlo Consolo, Carmela Currò, Giovanna Valenti

Mathematical Methods in the Applied Sciences > 43 > 18 > 10474 - 10489

The formation of Turing vegetation patterns in flat arid environments is investigated in the framework of a generalized version of the hyperbolic Klausmeier model. The extensions here considered involve, on the one hand, the strength of the rate at which rainfall water enters into the soil and, on the other hand, the functional dependence of the inertial times on vegetation biomass and soil water...

article

Promoting self‐facilitating feedback processes in coastal ecosystem engineers to increase restoration success: Testing engineering measures

Jildou Schotanus, Brenda Walles, Jacob J. Capelle, Jim Belzen, more

Journal of Applied Ecology > 57 > 10 > 1958 - 1968

Coastal ecosystem engineers often depend on self‐facilitating feedbacks to ameliorate environmental stress. This makes the restoration of such coastal ecosystem engineers difficult. We question if we can increase transplantation success in highly dynamic coastal areas by engineering measures that promote the development of self‐facilitating feedback processes. Intertidal blue mussels Mytilus edulis...

article

Molecular circuit of heterocyst differentiation in cyanobacteria

Harish, Kunal Seth

Journal of Basic Microbiology > 60 > 9 > 738 - 745

Differentiation commitment is one of the most complex mechanisms to study in biological science. One of the model systems used for understanding differentiation complexity is heterocyst development in cyanobacteria. Cyanobacteria have the capability of biological nitrogen fixation due to highly differentiated heterocyst cells. Once the nitrogen deficiency signal is perceived by the cyanobacteria,...

article

Asymmetric cell division from a cell to cells: Shape, length, and location of polarity domain

Sungrim Seirin‐Lee

Development, Growth & Differentiation > 62 > 3 > 188 - 195

Asymmetric cell division is one of the most elegant biological systems by which cells create daughter cells with different functions and increase cell diversity. In particular, PAR polarity in the cell membrane plays a critical role in regulating the whole process of asymmetric cell division. Numerous studies have been conducted to determine the underlying mechanism of PAR polarity formation using...

article

Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition

Salih Djilali

Mathematical Methods in the Applied Sciences > 43 > 5 > 2233 - 2250

In this paper, we study the influence of the nonlocal interspecific competition of the prey population on the dynamics of the diffusive predator‐prey model with prey social behavior. Using the linear stability analysis, the conditions for the positive constant steady state at which undergoes Hopf bifurcation, T‐H bifurcation (Turing‐Hopf bifurcation) are investigated. The Turing patterns occur in...

article

Positional Information—A concept underpinning our understanding of developmental biology

Neil Vargesson

Developmental Dynamics > 249 > 3 > 298 - 312

It is now 50 years since Lewis Wolpert published the paper in which he set out the concept of Positional Information to explain how spatial patterns of cellular differentiation are generated. This concept has provided a universal model for pattern formation in embryonic development and regeneration and become part of the fabric of the field of developmental biology. Here I outline how Wolpert devised...

article

Electrochemical gradients are involved in regulating cytoskeletal patterns during epithelial morphogenesis in the Drosophila ovary

Isabel Weiß, Johannes Bohrmann

BMC Developmental Biology > 2019 > 19 > 1 > 1-17

Background During Drosophila oogenesis, the follicular epithelium differentiates into several morphologically distinct follicle-cell populations. Characteristic bioelectrical properties make this tissue a suitable model system for studying connections between electrochemical signals and the organisation of the cytoskeleton. Recently, we have described stage-specific transcellular antero-posterior...

article

Characterization of a New Potential Family of Organic-Like Pattern-Generating Dynamical Systems

David M. Marciel

SN Computer Science > 2020 > 1 > 1 > 1-16

In this paper, we characterize a new broad family of discrete-time dynamical systems, whose organic-like patterns resemble part of the external morphology of some families of invertebrates and the bioluminescence of some specific families of zooplankton. We also present a new type of fractal structure that is hidden inside the relationship between the main control parameters of this kind of systems...

article

Predator–prey pattern formation driven by population diffusion based on Moore neighborhood structure

Tousheng Huang, Huayong Zhang, Zhengran Hu, Ge Pan, more

Advances in Difference Equations > 2019 > 2019 > 1 > 1-20

Diffusion-driven instability is a basic nonlinear mechanism for pattern formation. Therefore, the way of population diffusion may play a determinative role in the spatiotemporal dynamics of biological systems. In this research, we launch an investigation on the pattern formation of a discrete predator–prey system where the population diffusion is based on the Moore neighborhood structure instead of...

article

Competition of spiral waves in heterogeneous CGLE systems

Chunli Huang, Xiaohua Cui, Zengru Di

Nonlinear Dynamics > 2019 > 98 > 1 > 561-571

The effects of spatial heterogeneity on a two-dimensional complex Ginzburg–Landau equation model are studied. In general, the interaction of a pair of spiral waves with a large degree of heterogeneity in two different media will cause three different patterns: (a) Multiple spiral waves coexist in different media; (b) the spiral wave is swept away in one medium and remains in another medium; (c) all...

article

The PageRank algorithm as a method to optimize swarm behavior through local analysis

M. Coppola, J. Guo, E. Gill, G. C. H. E. Croon

Swarm Intelligence > 2019 > 13 > 3-4 > 277-319

This work proposes PageRank as a tool to evaluate and optimize the global performance of a swarm based on the analysis of the local behavior of a single robot. PageRank is a graph centrality measure that assesses the importance of nodes based on how likely they are to be reached when traversing a graph. We relate this, using a microscopic model, to a random robot in a swarm that transitions through...

article

Spatiotemporal dynamics near the Turing–Hopf bifurcation in a toxic-phytoplankton–zooplankton model with cross-diffusion

Wen Wang, Shutang Liu, Zhibin Liu

Nonlinear Dynamics > 2019 > 98 > 1 > 27-37

Spatiotemporal dynamics of the toxic-phytoplankton–zooplankton system are studied on the basis of a two-dimensional reaction–diffusion model. We first perform linear stability analysis to determine the conditions for the Turing–Hopf bifurcation where Turing and Hopf modes bifurcate simultaneously. Then the coupled amplitude equations describing the slow time evolution of system are derived by weakly...

article

Electrochemical patterns during Drosophila oogenesis: ion-transport mechanisms generate stage-specific gradients of pH and membrane potential in the follicle-cell epithelium

Isabel Weiß, Johannes Bohrmann

BMC Developmental Biology > 2019 > 19 > 1 > 1-17

Background Alterations of bioelectrical properties of cells and tissues are known to function as wide-ranging signals during development, regeneration and wound-healing in several species. The Drosophila follicle-cell epithelium provides an appropriate model system for studying the potential role of electrochemical signals, like intracellular pH (pH_i) and membrane potential (V_mem), during development...

article

On the limit configuration of four species strongly competing systems

Flavia Lanzara, Eugenio Montefusco

Nonlinear Differential Equations and Applications NoDEA > 2019 > 26 > 3 > 1-17

We analysed some qualitative properties of the limit configuration of the solutions of a reaction–diffusion system of four competing species as the competition rate tends to infinity. Large interaction induces the spatial segregation of the species and only two limit configurations are possible: either there is a point where four species concur, a 4-point, or there are two points where only three...

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PATTERN FORMATION (1,527)
MATHEMATICAL MODEL (64)
BIFURCATION (43)
TURING INSTABILITY (43)
MORPHOGENESIS (40)
SELF-ORGANIZATION (38)
[PHYSICAL ASTRONOMY CLASSIFICATION SCHEME] 47.54.+R (31)
DEVELOPMENT (30)
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CHEMOTAXIS (19)
COMPUTATIONAL MODELING (19)
EQUATIONS (18)
ROBOT KINEMATICS (18)
[PHYSICAL ASTRONOMY CLASSIFICATION SCHEME] 05.45.-A (18)
BIOLOGICAL SYSTEM MODELING (17)
DIFFUSION (17)
INSTABILITY (17)
MOBILE ROBOTS (17)
NOISE (17)
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HYDRA (16)
SYNCHRONIZATION (15)
EMBRYOGENESIS (14)
LIMB DEVELOPMENT (14)
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REGENERATION (13)
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CHAOS (11)
DRYING DISSIPATIVE STRUCTURE (11)
FLOW PATTERN (11)
INDUCTION (11)
PHYLLOTAXIS (11)
PIPE FLOW (11)
PLASMAS (11)
SIGNAL TRANSDUCTION (11)
ARABIDOPSIS (10)
CROSS-DIFFUSION (10)
DYNAMICS (10)
EIGENVALUES AND EIGENFUNCTIONS (10)
GROWTH (10)
IMAGE PROCESSING (10)
OSCILLATORS (10)
PREDATOR–PREY MODEL (10)
STABILITY ANALYSIS (10)
TIME DELAY (10)
ALGORITHM DESIGN AND ANALYSIS (9)
CELLULAR NEURAL NETWORKS (9)
DIELECTRICS (9)
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BMP (8)
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FLOW SIMULATION (8)
FRACTAL (8)
GENE REGULATION (8)
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Search results

Spatial dynamics of a nutrient–phytoplankton system with toxic effect on phytoplankton

Noise induced pattern transition in a vegetation model

Species coexistence in resource‐limited patterned ecosystems is facilitated by the interplay of spatial self‐organisation and intraspecific competition

Laser‐Based Printing: From Liquids to Microstructures

Sensitivity of dryland vegetation patterns to storm characteristics

The role of indirect prey‐taxis and interference among predators in pattern formation

Turing vegetation patterns in a generalized hyperbolic Klausmeier model

Promoting self‐facilitating feedback processes in coastal ecosystem engineers to increase restoration success: Testing engineering measures

Molecular circuit of heterocyst differentiation in cyanobacteria

Asymmetric cell division from a cell to cells: Shape, length, and location of polarity domain

Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition

Positional Information—A concept underpinning our understanding of developmental biology

Electrochemical gradients are involved in regulating cytoskeletal patterns during epithelial morphogenesis in the Drosophila ovary

Characterization of a New Potential Family of Organic-Like Pattern-Generating Dynamical Systems

Predator–prey pattern formation driven by population diffusion based on Moore neighborhood structure

Competition of spiral waves in heterogeneous CGLE systems

The PageRank algorithm as a method to optimize swarm behavior through local analysis

Spatiotemporal dynamics near the Turing–Hopf bifurcation in a toxic-phytoplankton–zooplankton model with cross-diffusion

Electrochemical patterns during Drosophila oogenesis: ion-transport mechanisms generate stage-specific gradients of pH and membrane potential in the follicle-cell epithelium

On the limit configuration of four species strongly competing systems

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