Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth

DOI10.1007/s11538-019-00685-yzbMath1432.92041arXiv1810.09161OpenAlexW3001879411WikidataQ92864976 ScholiaQ92864976MaRDI QIDQ2299330

Mariya Ptashnyk, Henry R. Allen

Publication date: 21 February 2020

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

Full work available at URL: https://arxiv.org/abs/1810.09161

zbMATH Keywords

mathematical modelling of signalling processesplant growth and polarity of auxin-efflux carrier protein PINtransport of hormone auxin in plant tissues

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Plant biology (92C80)

Related Items (3)

Smoothed particle hydrodynamics for root growth mechanics ⋮ Multiscale asymptotic analysis reveals how cell growth and subcellular compartments affect tissue-scale hormone transport ⋮ Scaling relations for auxin waves

Uses Software

• MATCONT
• SciPy
• ODEPACK

Cites Work

• Mathematical modelling of the \(Aux/IAA\) negative feedback loop
• Self-organization of the vascular system in plant leaves: inter-dependent dynamics of auxin flux and carrier proteins
• The role of auxin and cytokinin signalling in specifying the root architecture of \textit{Arabidopsis thaliana}
• Pattern formation of leaf veins by the positive feedback regulation between auxin flow and auxin efflux carrier
• A microbial model of economic trading and comparative advantage
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations

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