Results 121 to 130 of about 2,929 (211)

Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability [PDF]

, 2015
In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problém are discussed.
Kůs, Pavel
core  

Model reduction enables Turing instability analysis of large reaction-diffusion models. [PDF]

J R Soc Interface, 2018
Smith S, Dalchau N.
europepmc   +1 more source

Finding the condition of Turing instabilities [PDF]

Journal Club for Condensed Matter Physics, 2021
openaire   +1 more source

Minimum nonlinearity for pattern-forming Turing instability in a mathematical autocatalytic model

Pattern formation is ubiquitous in nature and the mechanism widely-accepted to underlay them is based on the Turing instability, predicted by Alan Turing decades ago.
López-Pedrares, Javier, Pérez-Mercader, Juan, Muñuzuri, Alberto P., Suárez-Vázquez, Marcos   +3 more
core  

Turing instability and attractor bifurcation for the general Brusselator model

In this paper, we analyze the dynamic bifurcation of the general Brusselator model when the order of reaction is p ∈ (1, ∞). We verify that the Turing instability occurs above the critical control number and obtain a rigorous formula for the bifurcated ...
Han, Jongmin, Kim, Young Rock, Lee, Doo Seok, Choi, Yuncherl, Ha, Taeyoung   +4 more
core   +1 more source

Turing Instability-Driven Biofabrication of Branching Tissue Structures: A Dynamic Simulation and Analysis Based on the Reaction⁻Diffusion Mechanism ^†. [PDF]

Micromachines (Basel), 2018
Zhu X, Yang H.
europepmc   +1 more source

Correction: The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]

Acta Biotheor
Singh AK, Almshekhs R, Kumar M, Ramakrishnan S.   +3 more
europepmc   +1 more source

Morphogene adsorption as a Turing instability regulator: Theoretical analysis and possible applications in multicellular embryonic systems. [PDF]

PLoS One, 2017
Nesterenko AM, Kuznetsov MB, Korotkova DD, Zaraisky AG.   +3 more
europepmc   +1 more source

The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]

Acta Biotheor
Singh AK, Almshekhs R, Kumar M, Ramakrishnan S.   +3 more
europepmc   +1 more source

Revisiting Turing's Chemical Basis of Morphogenesis. [PDF]

Bull Math Biol
Tyson JJ.
europepmc   +1 more source