Fixed and distributed gene expression time delays in reaction-diffusion systems
From MaRDI portal
Publication:2163836
DOI10.1007/S11538-022-01052-0zbMath1497.92093arXiv2205.05410OpenAlexW4290420396WikidataQ113900018 ScholiaQ113900018MaRDI QIDQ2163836
Alec Sargood, Andrew L. Krause, Eamonn A. Gaffney
Publication date: 11 August 2022
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.05410
Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells
- Gene expression time delays and Turing pattern formation systems
- Truncated skew-normal distributions: moments, estimation by weighted moments and application to climatic data
- The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system
- The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems
- Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays
- Delay-driven oscillations via axin2 feedback in the Wnt/\(\beta\)-catenin signalling pathway
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- Development and applications of a model for cellular response to multiple chemotactic cues
- A time-delay in the activator kinetics enhances the stability of a spike solution to the Gierer-Meinhardt model
- Isolating patterns in open reaction-diffusion systems
- Turing patterning in stratified domains
- Turing-Hopf patterns on growing domains: the torus and the sphere
- Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay
- Adaptive methods for stochastic differential equations via natural embeddings and rejection sampling with memory
- Bespoke Turing systems
- Some general implicit processes for the numerical solution of differential equations
- The chemical basis of morphogenesis
- A Metastable Spike Solution for a Nonlocal Reaction-Diffusion Model
- Distributed Delay Differential Equation Representations of Cyclic Differential Equations
- Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model
- Turing instabilities in general systems
This page was built for publication: Fixed and distributed gene expression time delays in reaction-diffusion systems
