Growth of a long bone cross section. A 2D phase-field model

DOI10.1016/j.mbs.2019.04.005zbMath1425.92027OpenAlexW2942099510WikidataQ91566709 ScholiaQ91566709MaRDI QIDQ2328420

Gustav Lindberg, Per Ståhle

Publication date: 10 October 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2019.04.005

zbMATH Keywords

diffusionfinite element methodchemical potentialphase-fieldbone growthstress enhanced

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Developmental biology, pattern formation (92C15)

Cites Work

• Strain driven transport for bone modeling at the periosteal surface
• Nutrient modulated structural design with application to growth and degradation
• Fluid and Solute Transport in Bone: Flow-Induced Mechanotransduction
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations

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