Modern perspectives on near-equilibrium analysis of Turing systems

AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
In the nearly seven decades since the publication of Alan Turing's work on morphogenesis,
enormous progress has been made in understanding both the mathematical and biological …

An interplay of geometry and signaling enables robust lung branching morphogenesis

D Menshykau, P Blanc, E Unal, V Sapin… - Development, 2014 - journals.biologists.com
Early branching events during lung development are stereotyped. Although key regulatory
components have been defined, the branching mechanism remains elusive. We have now …

Amplitude death in a pair of one-dimensional complex Ginzburg-Landau systems coupled by diffusive connections

H Teki, K Konishi, N Hara - Physical Review E, 2017 - APS
This paper shows that, in a pair of one-dimensional complex Ginzburg-Landau (CGL)
systems, diffusive connections can induce amplitude death. Stability analysis of a spatially …

Size regulation of the lateral organ initiation zone and its role in determining cotyledon number in conifers

DM Holloway, R Saunders, CL Wenzel - Frontiers in Plant Science, 2023 - frontiersin.org
Introduction Unlike monocots and dicots, many conifers, particularly Pinaceae, form three or
more cotyledons. These are arranged in a whorl, or ring, at a particular distance from the …

Turing patterning in stratified domains

AL Krause, V Klika, J Halatek, PK Grant… - Bulletin of Mathematical …, 2020 - Springer
Reaction–diffusion processes across layered media arise in several scientific domains such
as pattern-forming E. coli on agar substrates, epidermal–mesenchymal coupling in …

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry

A Diez, AL Krause, PK Maini, EA Gaffney… - Bulletin of Mathematical …, 2024 - Springer
Conditions for self-organisation via Turing's mechanism in biological systems represented
by reaction-diffusion or reaction-cross-diffusion models have been extensively studied …

Stabilization of a spatially uniform steady state in two systems exhibiting Turing patterns

K Konishi, N Hara - Physical Review E, 2018 - APS
This paper deals with the stabilization of a spatially uniform steady state in two coupled one-
dimensional reaction-diffusion systems with Turing instability. This stabilization corresponds …

[PDF][PDF] Turing pattern formation in reaction-cross-diffusion

CC-BY-NC-ND 4.0 International license made available under a (which was not certified by
peer review) is the author/funder, who has granted bioRxiv a license to display the preprint …

遅延フィードバック・遅延結合による非線形システムの安定化

小西啓治, 杉谷栄規 - 計測と制御, 2016 - jstage.jst.go.jp
論文の提出が 遅 れる, 電車に乗り 遅 れるなど,「遅れ」 には悪い印象がある.
工学システムにおいても, 好意的には扱ってもらえない状況が大半であろう. 一方 …

[PDF][PDF] Studies on the comprehensive generation of various phyllotactic patterns with a predominant focus on uncommon phyllotaxes (特異な葉序に着目した多様な葉序 …

令和元年 - 2019 - repository.dl.itc.u-tokyo.ac.jp
Plant leaves are arranged around the stem in a beautiful geometry that is called phyllotaxis.
In the majority of plants, phyllotactic patterns are restricted to a few types, such as distichous …