ArticleBulletin of mathematical biology2019
Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds.
Article in Bulletin of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
14 citing papers in PubMed, 64 citations in OpenAlex.
- Development of whole-limb skeletal patterning through the coordination of growth and self-organization models.PLoS computational biology · 2026Article
- How nature discovers rare Turing islands: Exploration by common limit cycles.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- A computational framework to study EGFR signaling distribution in egg chambers during dynamic interactions between soma and germline.PLoS computational biology · 2025Article
- Utilizing Causal Network Markers to Identify Tipping Points ahead of Critical Transition.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport.PLoS computational biology · 2023Article
- Concentration-Dependent Domain Evolution in Reaction-Diffusion Systems.Bulletin of mathematical biology · 2023Article
- Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems.Bulletin of mathematical biology · 2022Article
- Modern perspectives on near-equilibrium analysis of Turing systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2021Review
- Isolating Patterns in Open Reaction-Diffusion Systems.Bulletin of mathematical biology · 2021Article
- Bespoke Turing Systems.Bulletin of mathematical biology · 2021Article
- Turing conditions for pattern forming systems on evolving manifolds.Journal of mathematical biology · 2021Article
- Pattern formation in reaction-diffusion system on membrane with mechanochemical feedback.Scientific reports · 2020Article
- Turing Patterning in Stratified Domains.Bulletin of mathematical biology · 2020Article
- From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ.Journal of the Royal Society, Interface · 2020Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors at 1 institution in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We study two-species reaction-diffusion systems on growing manifolds, including situations where the growth is anisotropic yet dilational in nature. In contrast to the literature on linear instabilities in such systems, we study how growth and anisotropy impact the qualitative properties of nonlinear patterned states which have formed before growth is initiated. We produce numerical solutions to numerous reaction-diffusion systems with varying reaction kinetics, manner of growth (both isotropic and anisotropic), and timescales of growth on both planar elliptical and curved ellipsoidal domains. We find that in some parameter regimes, some of these factors have a negligible effect on the long-time patterned state. On the other hand, we find that some of these factors play a role in determining the patterns formed on surfaces and that anisotropic growth can produce qualitatively different patterns to those formed under isotropic growth.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.