Spatial pattern formation in reaction–diffusion models: a computational approach
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-019-01462-0
Abstract: Reaction–diffusion equations have been widely used to describe biological pattern formation. Nonuniform steady states of reaction–diffusion models correspond to stationary spatial patterns supported by these models. Frequently these steady states are not unique and correspond… read more here.
Keywords: pattern formation; diffusion; steady states; diffusion models ... See more keywords
Some Remarks on Pattern Formation in Vertebrate Embryology
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DOI: 10.1007/s10955-019-02301-8
Abstract: A model of somite formation in vertebrates is presented in which a biochemical wave selects alternating regions of vertebra and somite production. It does so by imposing expression of a relevant gene in the underlying… read more here.
Keywords: vertebrate embryology; remarks pattern; formation; pattern formation ... See more keywords
Emergent impacts of quadratic mortality on pattern formation in a predator–prey system
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3222-2
Abstract: In this paper, we have investigated the effects of spatial diffusion in the pattern formation of a predator–prey system with quadratic mortality rate of the predator in the presence of habitat complexity. Using linear stability… read more here.
Keywords: predator prey; pattern formation; formation predator; prey system ... See more keywords
Effects of Hydraulic Soil Properties on Vegetation Pattern Formation in Sloping Landscapes
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DOI: 10.1007/s11538-017-0348-4
Abstract: Current models of vegetation pattern formation rely on a system of weakly nonlinear reaction–diffusion equations that are coupled by their source terms. While these equations, which are used to describe a spatiotemporal planar evolution of… read more here.
Keywords: pattern formation; vegetation pattern; sloping landscapes; soil properties ... See more keywords
Phase Transitions in a Logistic Metapopulation Model with Nonlocal Interactions
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-017-0373-3
Abstract: The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one… read more here.
Keywords: metapopulation model; pattern formation; nonlocal interactions; model ... See more keywords
Advances and challenges in programming pattern formation using living cells.
Sign Up to like & getrecommendations! Published in 2022 at "Current opinion in chemical biology"
DOI: 10.1016/j.cbpa.2022.102147
Abstract: Spatial patterning of cell populations is a ubiquitous phenomenon in nature. Patterns occur at various length and time scales and exhibit immense diversity. In addition to offering a deeper understanding of the emergence of patterns… read more here.
Keywords: formation; pattern formation; living cells; programming pattern ... See more keywords
A Design Principle for an Autonomous Post-translational Pattern Formation.
Sign Up to like & getrecommendations! Published in 2017 at "Cell reports"
DOI: 10.1016/j.celrep.2017.03.081
Abstract: Previous autonomous pattern-formation models often assumed complex molecular and cellular networks. This theoretical study, however, shows that a system composed of one substrate with multisite phosphorylation and a pair of kinase and phosphatase can generate… read more here.
Keywords: pattern formation; post translational; design;
Galanin Signaling in the Brain Regulates Color Pattern Formation in Zebrafish
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DOI: 10.1016/j.cub.2019.11.033
Abstract: Summary Color patterns are prominent features of many animals and are of high evolutionary relevance. In basal vertebrates, color patterns are composed of specialized pigment cells that arrange in multilayered mosaics in the skin. Zebrafish… read more here.
Keywords: galanin signaling; color pattern; pattern formation; pigment cells ... See more keywords
Indirect repulsion between actin binding proteins induces the local pattern formation of protein clusters
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DOI: 10.1016/j.eml.2020.100740
Abstract: Abstract A periodic pattern composed of alternating myosin II and α -actinin clusters forms along the stress fibers in live cells. Here, we propose that the indirect repulsion between these proteins is able to lead… read more here.
Keywords: pattern formation; pattern; repulsion; indirect repulsion ... See more keywords
Pattern formation for a volume-filling chemotaxis model with logistic growth
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.040
Abstract: Abstract This paper is devoted to investigating the pattern formation of a volume-filling chemotaxis model with logistic cell growth. We first apply the local stability analysis to establish sufficient conditions of destabilization for the uniform… read more here.
Keywords: pattern formation; filling chemotaxis; formation volume; case ... See more keywords
Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.060
Abstract: Abstract This paper is devoted to study the formation of stationary patterns for a chemotaxis model with nonlinear diffusion and volume-filling effect over a bounded rectangular domain. By using linear stability analysis around the homogeneous… read more here.
Keywords: chemotaxis; formation; pattern formation; formation two ... See more keywords