Results 71 to 80 of about 32,500 (209)
Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]
, 2013 In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G. +3 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
Wavelength of a Turing-type mechanism regulates the morphogenesis of meshwork patterns
Scientific Reports, 2021 The meshwork pattern is a significant pattern in the development of biological tissues and organs. It is necessary to explore the mathematical mechanism of meshwork pattern formation.
Shan Guo, Ming-zhu Sun, Xin Zhao
doaj +1 more source
Nonlinear Analysis, 2022 In this paper, we extend a Leslie–Gower-type predator–prey system with ratio-dependent Holling III functional response considering the cost of antipredator defence due to fear.
Hongyu Chen, Chunrui Zhang
doaj +1 more source
Sufficient conditions for wave instability in three-component reaction-diffusion systems [PDF]
, 2013 Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to determine whether
Hata, Shigefumi +2 more
core +3 more sources
Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
wiley +1 more source
Advances in Difference Equations, 2018 In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator.
Baojun Miao
doaj +1 more source
Turing mechanism underlying a branching model for lung morphogenesis. [PDF]
PLoS ONE, 2017 The mammalian lung develops through branching morphogenesis. Two primary forms of branching, which occur in order, in the lung have been identified: tip bifurcation and side branching.
Hui Xu, Mingzhu Sun, Xin Zhao
doaj +1 more source
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
wiley +1 more source
Mesa-type patterns in the one-dimensional Brusselator and their stability
, 2005 The Brusselator is a generic reaction-diffusion model for a tri-molecular chemical reaction. We consider the case when the input and output reactions are slow.
Alikakos +38 more
core +1 more source