Numerical bifurcation analysis of the pattern formation in a cell based auxin transport model

DOI10.1007/s00285-012-0588-8zbMath1291.37116arXiv1202.5161OpenAlexW1971268807WikidataQ51317774 ScholiaQ51317774MaRDI QIDQ378312

Gerrit T. S. Beemster, Wim Vanroose, Jan Broeckhove, Delphine Draelants

Publication date: 11 November 2013

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5161

zbMATH Keywords

stabilityexistencebifurcationhormonesparameter dependenceperiodic solution patterntransport modeltrivial solution

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Developmental biology, pattern formation (92C15) Plant biology (92C80)

Related Items (4)

Bifurcation analysis of reaction diffusion systems on arbitrary surfaces ⋮ Fast derivatives of likelihood functionals for ODE based models using adjoint-state method ⋮ Experimental Tracking of Limit-Point Bifurcations and Backbone Curves Using Control-Based Continuation ⋮ Towards Scalable Automatic Exploration of Bifurcation Diagrams for Large-Scale Applications

Uses Software

• PyDSTool
• HomCont

Cites Work

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• Practical bifurcation and stability analysis: from equilibrium to chaos.
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• Pattern Formation
• BIFURCATION TRACKING ALGORITHMS AND SOFTWARE FOR LARGE SCALE APPLICATIONS

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