Results 61 to 70 of about 32,448 (189)
Stochastic Turing patterns in the Brusselator model
, 2010 A stochastic version of the Brusselator model is proposed and studied via the system size expansion. The mean-field equations are derived and shown to yield to organized Turing patterns within a specific parameters region.
A. M. Zhabotinsky +8 more
core +1 more source
Chiari I Malformation: Review and Update of Current Treatment Options
Clinical Anatomy, EarlyView.ABSTRACT The pathophysiology of Chiari malformation type I (CM‐I) is complex, involving structural abnormalities at the craniovertebral junction that result in herniation of the cerebellar tonsils through the foramen magnum. In this study, we aim to present and evaluate current treatment options for CM‐I, with a focus on evidence‐based clinical ...
Jordan J. Lo +11 more
wiley +1 more source
The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
Discrete Dynamics in Nature and Society, 2023 In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
doaj +1 more source
Integrating ecological feedbacks across scales and levels of organization
Ecography, EarlyView.In ecosystems, species interact in various ways with other species, and with their local environment. In addition, ecosystems are coupled in space by diverse types of flows. From these links connecting different ecological entities can emerge circular pathways of indirect effects: feedback loops.
Benoît Pichon +4 more
wiley +1 more source
Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj +1 more source
On the Gierer-Meinhardt system with precursors [PDF]
, 2009 We consider the Gierer-Meinhardt system with a for the activator. Such an equation exhibits a typical Turing bifurcation of the second kind, i.e., homogeneous uniform steady states do not exist in the system. We establish the existence and stability of N-
Wei, J, Winter, M
core +1 more source
Transverse instabilities in chemical Turing patterns of stripes [PDF]
Physical Review E, 2003 We present a theoretical and experimental study of the sideband instabilities in Turing patterns of stripes. We compare numerical computations of the Brusselator model with experiments in a chlorine dioxide-iodine-malonic acid (CDIMA) reaction in a thin gel layer reactor in contact with a continuously refreshed reservoir of reagents.
B, Peña +4 more
openaire +2 more sources
Language machines: Toward a linguistic anthropology of large language models
Journal of Linguistic Anthropology, Volume 36, Issue 1, May 2026.Abstract Large language models (LLMs) challenge long‐standing assumptions in linguistics and linguistic anthropology by generating human‐like language without relying on rule‐based structures. This introduction to the special issue Language Machines calls for renewed engagement with LLMs as socially embedded language technologies.
Siri Lamoureaux +2 more
wiley +1 more source
Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems [PDF]
, 2012 Cellular gene expression is a complex process involving many steps, including the transcription of DNA and translation of mRNA; hence the synthesis of proteins requires a considerable amount of time, from ten minutes to several hours.
Baker, R. E. +4 more
core +2 more sources
Turing Patterns in a Predator-Prey System with Self-Diffusion
Abstract and Applied Analysis, 2013 For a predator-prey system, cross-diffusion has been confirmed to emerge Turing patterns. However, in the real world, the tendency for prey and predators moving along the direction of lower density of their own species, called self-diffusion, should be ...
Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen
doaj +1 more source