Results 261 to 270 of about 1,415,133 (306)
Pattern formation in prey-taxis systems
Journal of Biological Dynamics, 2009 In this paper, we consider spatial predator–prey models with diffusion and prey-taxis. We investigate necessary conditions for pattern formation using a variety of non-linear functional responses, linear and non-linear predator death terms, linear and ...
Thomas Hillen, Mark A Lewis
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Complex pattern formation in reaction–diffusion systems with spatially varying parameters
Physica D: Nonlinear Phenomena, 2005 Spontaneous pattern formation in reaction–diffusion systems on a spatially homogeneous domain has been well studied. However, in embryonic development and elsewhere, pattern formation often takes place on a spatially heterogeneous background.
Karen M Page +2 more
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Some of the next articles are maybe not open access.
Advances in Applied Probability, 1980
A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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A uniform distribution of histidine auxotrophic Salmonella Typhimurium on an agar gel exhibits a spatial pattern of growth in responsto a diffusing front of histidine. We formulate a mathematical model of this system which describes the histidine concentration (H(r,t)) at radius r and time t in a petri dish, the concentration of the growth medium’s ...
F. C. Hoppensteadt, W. Jäger
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Biochemistry, 2019
A fundamental question in biology is how biological patterns emerge. Because of the presence of numerous confounding factors, it is tremendously challenging to elucidate the mechanisms underlying pattern formation solely on the basis of studies of natural biological systems.
Nan Luo, Shangying Wang, Lingchong You
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A fundamental question in biology is how biological patterns emerge. Because of the presence of numerous confounding factors, it is tremendously challenging to elucidate the mechanisms underlying pattern formation solely on the basis of studies of natural biological systems.
Nan Luo, Shangying Wang, Lingchong You
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Hierarchical pattern formation
Physica A: Statistical Mechanics and its Applications, 1998Abstract We consider a hierarchical set of dynamical systems, each of which may support individual pattern formation processes. In the limit case of weak top-down interactions it provides a suitable framework for the design of self-organizing scenarios both from constructional and evolutionary perspective.
Or-Guil, M., Bär, M., Bode, M.
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Physical Review E, 2003
Pattern formation on the surface of a sphere is described by equations involving interactions of spherical harmonics of degree l. When l is even, the leading-order equations are determined uniquely by the symmetry, regardless of the physical context. Existence and stability results are found for even l up to l=12.
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Pattern formation on the surface of a sphere is described by equations involving interactions of spherical harmonics of degree l. When l is even, the leading-order equations are determined uniquely by the symmetry, regardless of the physical context. Existence and stability results are found for even l up to l=12.
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Nature, 1995
As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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As participants at Nature's conference "Patterns of Life" (Boston, 9–10 November) found, moves to different organisms and even to biochemistry are helping to sustain the drive to understand how different body plans develop.
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Pattern formation in the brain
Science, 2017Neurodevelopment Neurons in the developing brain cooperate to build circuits. Mountoufaris et al. found that ∼50 variable protocadherin genes support a combinatorial identity code that allows millions of olfactory neuron axons to sort into ∼2000 glomeruli.
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Reflecting pattern relationships in a pattern format
Proceedings of the 24th European Conference on Pattern Languages of Programs, 2019Patterns can be applied in isolation. However, the power of patterns lies in using them in sequences. Identifying pattern relationships with other patterns is difficult. The existing pattern formats reflect the relationships with other patterns in a very informal way.
Waheedullah Sulaiman Khail +1 more
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1999
Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
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Publisher Summary This chapter focuses on the concept of optical pattern formation. The field of optical pattern formation (OPF) studies the spatial and spatiotemporal phenomena that arise in the structure of electromagnetic field in the planes orthogonal with respect to the direction of propagation.
Lugiato, L. A., Brambilla, M., Gatti, A.
openaire +3 more sources