A new mathematical framework for modelling the biomechanics of growing trees with rod theory

DOI10.1016/J.MCM.2011.12.024zbMath1255.74047OpenAlexW2055753807WikidataQ57082223 ScholiaQ57082223MaRDI QIDQ1933897

Thomas Guillon, Thierry Fourcaud, Yves Dumont

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.024

zbMATH Keywords

nonlinear partial differential equationssurface growthgravitropismcambial growthcell maturation straincontinuous modelling

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) Plant biology (92C80)

Related Items (3)

Multiscale integration of environmental stimuli in plant tropism produces complex behaviors ⋮ Numerical methods for the biomechanics of growing trees ⋮ Buckling of chiral rods due to coupled axial and rotational growth

Cites Work

• Unnamed Item
• Perspectives on biological growth and remodeling
• On the mechanics of a growing tumor
• Modeling the growth and branching of plants: a simple rod-based model
• Kinematics of surface growth
• Thermomechanics of volumetric growth in uniform bodies
• Biomechanical design and long-term stability of trees: morphological and wood traits involved in the balance between weight increase and the gravitropic reaction
• On the evolution of intrinsic curvature in rod-based models of growth in long slender plant stems
• A continuum theory of surface growth
• Elastic Growth Models
• Nonlinear problems of elasticity

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