The nature of the stresses induced during tissue growth

DOI10.1016/j.aml.2004.09.019zbMath1079.74515OpenAlexW1985153456MaRDI QIDQ812661

R. P. Araujo, D. L. Sean McElwain

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.09.019

zbMATH Keywords

linear elasticitystress relaxationanisotropic growthtissue stresses

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Linear elasticity with initial stresses (74B10) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (8)

A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy ⋮ Morpho-elastodynamics: the long-time dynamics of elastic growth ⋮ New insights into vascular collapse and growth dynamics in solid tumors ⋮ The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics ⋮ Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth ⋮ Growth and remodeling in highly stressed solid tumors ⋮ An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries ⋮ A coupled mass transport and deformation theory of multi-constituent tumor growth

Cites Work

• A mathematical model of the stress induced during avascular tumour growth
• Stress, strain, growth, and remodeling of living organisms
• Compatibility and the genesis of residual stress by volumetric growth
• A linear-elastic model of anisotropic tumour growth
• Unnamed Item

This page was built for publication: The nature of the stresses induced during tissue growth