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Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate
Turing's diffusion-driven instability for the standard two species reaction of this dynamics on Turing's diffusion-driven instability. Analysis of the system shows and thus induce a Turing instability<...
BJ - Termodynamika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability
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. O...
BA - Obecná matematika
- 2015 •
- D
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D - Stať ve sborníku
Unilateral regulation breaks regularity of Turing patterns
We consider a reaction-diffusion system undergoing Turing instability and augment it by an additional unilateral nonsmooth unilateral source term. We investigate its influence on the Turing instability and on the c...
Applied mathematics
- 2017 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Turing Instabilities are Not Enough to Ensure Pattern Formation
mild multistable non-linearities can satisfy the Turing instability conditionsSymmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, ...
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Variability of Turing patterns in reaction-diffusion systems
The paper presents a result about the number of distinct stationary solutions of a reaction-diffusion system exhibing the Turing instability. Relative frequency of observed solutions as they evolve from random initial conditions is ...
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
Domain size driven instability: Self-organization in systems with advection
disciplines, with a prime example given by the Turing instability. However, this instability is subject to several constraints and is restricted to relatively small regions of parameter space. This leads to parameter sensi...
Applied mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Analysis of stability and patterns in a linear array of membrane-coupled CSTRs with a glycolytic oscillatory reaction
The study is focused on dynamical behavior and stability of membrane-coupled cascade of CSTRs with glycolytic reaction. This conceptual model is used to study reaction-transport interactions in coupled living cells with the aim of finding conditions ...
CI - Průmyslová chemie a chemické inženýrství
- 2010 •
- D
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D - Stať ve sborníku
Pattern formation in reaction-diffusion systems with piecewise kinetic modulation: An example study of heterogeneous kinetics
instability conditions. Essentially, the presence of stability or instability in TuringThe study of pattern emergence together with exploration of the exemplar Turing are within the Turing space provides ...
Applied mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Analysis of Stability and Patterns in a Cyclic and a T-Shaped Array of Membrane-Coupled CSTRs With a Glycolytic Oscillatory Reaction
The study is focused on dynamical behavior and stability of membrane-coupled cascade of CSTRs with the glycolytic reaction. This conceptual model is used to study reaction-transport interactions in coupled living cells with the aim of finding conditi...
CI - Průmyslová chemie a chemické inženýrství
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
emergent patterning due to nonlinear instability. We employ WKBJ asymptotics to investigate Turing instabilities for a spatially heterogeneous reaction-diffusion system, and derive conditions for instability which...
Applied mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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