Fungal Tip Growth Arising Through a Codimension-1 Global Bifurcation

DOI10.1142/S0218127420501072zbMath1448.34100arXiv1909.05486MaRDI QIDQ5116631

A. E. Sterk, Thomas de Jong, Henk W. Broer

Publication date: 18 August 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05486

zbMATH Keywords

bifurcationtoy modelordinary differential equationdynamical systemfungal tip growth

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Plant biology (92C80)

Related Items (1)

Uniqueness of local, analytic solutions to singular ODEs

Cites Work

• The mathematics and mechanics of biological growth
• Self-regulation in tip-growth: the role of cell wall ageing
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• The diffusive vesicle supply center model for tip growth in fungal hyphae
• Modelling fungal hypha tip growth via viscous sheet approximation
• Ordinary Differential Equations and Dynamical Systems
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