Results 21 to 30 of about 1,415,133 (306)
Formation of Liesegang patterns [PDF]
Physica A: Statistical Mechanics and its Applications, 1999 It has been recently shown that precipitation bands characteristic of Liesegang patterns emerge from spinodal decomposition of reaction products in the wake of moving reaction fronts. This mechanism explains the geometric sequence of band positions x_n ~ Q(1+p)^n and, furthermore, it yields a spacing coefficient, p, that is in agreement with the ...
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Divergent Deborah number-dependent transition from homogeneity to heterogeneity
Nature Communications, 2023 Heterogeneous structures are ubiquitous in natural organisms. Native heterogeneous structures inspire many artificial structures that are playing important roles in modern society, while it is challenging to identify the relevant factors in forming these
Dan Xu +4 more
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Pattern formation in the geosciences [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013 Pattern formation is a natural property of nonlinear and non-equilibrium dynamical systems. Geophysical examples of such systems span practically all observable length scales, from rhythmic banding of chemical species within a single mineral crystal, to the morphology of cusps and spits along hundreds of kilometres of coastlines.
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Nonequilibrium Relaxation and Pattern Formation [PDF]
Moscow Mathematical Journal, 2020 This paper, dedicated to the memory of Roland Dobrushin, is devoted to the study of relaxation phenomena in a classical nonequilibrium scenario. The authors consider a collection of probes on a ring interacting with a nonequilibrium density field. The model has been shown to have a stable fixed point corresponding to a crystal pattern, in which probes ...
Maes, Christian, Netocny, Karel
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The atmospheric settling of commercially sold microplastics [PDF]
Atmospheric Chemistry and PhysicsThe atmosphere plays a major role in the dispersion of microplastics in the environment. The atmospheric transport of large microplastics is strongly influenced by their settling behavior, which depends on their physical properties, including size and ...
A. S. W. Reininger +4 more
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Agent-based models in cellular systems
Frontiers in Physics, 2023 This mini-review discusses agent-based models as modeling techniques for studying pattern formation of multi-cellular systems in biology. We introduce and compare different agent-based model frameworks with respect to spatial representation ...
Jonas Pleyer, Christian Fleck
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The International Journal of Developmental Biology, 2009 Patterns are orders embedded in randomness. They may appear as spatial arrangements or temporal series, and the elements may appear identical or with variations. Patterns exist in the physical world as well as in living systems. In the biological world, patterns can range from simple to complex, forming the basic building blocks of life.
Chuong, C.M., Richardson, M.K.
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F1000Research, 2014 Asymmetric, articulated jaws are characteristic of most vertebrate species; they derive from the first pharyngeal arch (PA1) which generates both maxillary and mandibular components.
Yorick Gitton +2 more
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How enhancers regulate wavelike gene expression patterns
eLife, 2023 A key problem in development is to understand how genes turn on or off at the right place and right time during embryogenesis. Such decisions are made by non-coding sequences called ‘enhancers.’ Much of our models of how enhancers work rely on the ...
Christine Mau +8 more
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Recent advances in understanding vertebrate segmentation [version 1; referees: 3 approved]
F1000Research, 2018 Segmentation is the partitioning of the body axis into a series of repeating units or segments. This widespread body plan is found in annelids, arthropods, and chordates, showing it to be a successful developmental strategy for growing and generating ...
Tomás Pais-de-Azevedo +3 more
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