[HTML][HTML] Pattern formation mechanisms of self-organizing reaction-diffusion systems

AN Landge, BM Jordan, X Diego, P Müller - Developmental biology, 2020 - Elsevier
… (b) Examples of two-dimensional Turing patterns generated using the … For the sake of clarity
and simplicity, we define robustdomains, the dimensions of wave-pinning-induced patterns

Turing conditions for pattern forming systems on evolving manifolds

RA Van Gorder, V Klika, AL Krause - Journal of mathematical biology, 2021 - Springer
… complicated, as there is a strong dependence of any spatially … reaction diffusion systems
on growing domains in one, two, and three spatial dimensions. We generalize several examples

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ

AL Krause, V Klika, TE Woolley… - Journal of the Royal …, 2020 - royalsocietypublishing.org
… from spatially heterogeneous reactiondiffusion systems. Our … pattern forming processes,
noting that most scenarios in … regions of the domain depending on their growth rates. This …

[PDF][PDF] Parameter Identification for Pattern-Generating Reaction-Diffusion Systems–Towards Generative Texture Descriptors

W Ainhauser, M Welk - welkraum.info
… topic of pattern formation by reactiondiffusion systems with … on synthetic and real-world
examples are shown in Section 4… that there is a strong negative correlation between the …

Evasion of tipping in complex systems through spatial pattern formation

M Rietkerk, R Bastiaansen, S Banerjee… - Science, 2021 - science.org
… spatial pattern formation in which only part of the spatial domain … We highlight a few illustrative
examples in Box 2 and Box 3. … a strong impact on the formation, stability, and dynamics of …

Phase-space geometry of mass-conserving reaction-diffusion dynamics

F Brauns, J Halatek, E Frey - Physical Review X, 2020 - APS
… a new way of thinking about pattern formation, namely, in terms of … This level of description
proves to be very powerful in explaining … purposes; for specific examples, see the Appendix A. …

Sparse optimal control of pattern formations for an SIR reaction-diffusion epidemic model

L Chang, W Gong, Z Jin, GQ Sun - SIAM Journal on Applied Mathematics, 2022 - SIAM
domains are reasonable and valuable in investigating the process of disease transmission.
As a powerful … In the preceding numerical examples, Turing patterns with smaller NSPA were …

Modern perspectives on near-equilibrium analysis of Turing systems

AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
… to more realistic scenarios of pattern formation, and particularly … Nevertheless, we hope to
show how powerful this perspective … equations is important for the kind of pattern formation in …

The effect of climate change on the resilience of ecosystems with adaptive spatial pattern formation

R Bastiaansen, A Doelman, MB Eppinga… - Ecology …, 2020 - Wiley Online Library
… these situations, vegetation is strongly localised and patterns … themselves in a regular
pattern, thus increasing their resilience. … Hence, there is an increased demand for reliable early …

Bespoke turing systems

TE Woolley, AL Krause, EA Gaffney - Bulletin of Mathematical Biology, 2021 - Springer
… given, then these techniques provide a powerful way for using … We demonstrate examples
of these constructions numerically… We will neglect pattern formation due to stabilised fronts and …