The emergence of complexity from a simple model for tissue growth

DOI10.1007/S10955-019-02461-7zbMath1447.74033OpenAlexW2995542541MaRDI QIDQ2194163

R. Weinkamer, J. W. C. Dunlop, Franz Dieter Fischer, Gerald A. Zickler, Peter Fratzl

Publication date: 25 August 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-019-02461-7

zbMATH Keywords

wettingsurface tensionphase separationchemical potentialprecipitationDelauney surface

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) Chemical and reactive effects in solid mechanics (74F25)

Related Items (1)

A survey of Delaunay surfaces with applications in capillary surfaces

Uses Software

• Surface Evolver

Cites Work

• Unnamed Item
• Unnamed Item
• The mathematics and mechanics of biological growth
• Perspectives on biological growth and remodeling
• A theoretical model for tissue growth in confined geometries
• A natural parameterization of the roulettes of the conics generating the Delaunay surfaces
• Continuum modeling of cell membranes
• Phase separation in confined geometries
• Growth and dissipation in biological tissues
• Surface stress in solids
• Modeling of phase separation in alloys with coherent elastic misfit
• Kinematics of surface growth
• On the variational theory of cell-membrane equilibria
• A combined accretion and surface growth model in the framework of irreversible thermodynamics
• Stress-Modulated Growth
• Biological growth in bodies with incoherent interfaces
• Capillary surfaces: stability from families of equilibria with application to the liquid bridge
• The Surface Evolver

This page was built for publication: The emergence of complexity from a simple model for tissue growth