Residual stress generation and necrosis formation in multi-cell tumour spheroids

DOI10.1007/s00285-004-0265-7zbMath1055.92024OpenAlexW2028909565WikidataQ51983527 ScholiaQ51983527MaRDI QIDQ1764636

Colin P. Please, Ben D. MacArthur

Publication date: 25 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00285-004-0265-7

zbMATH Keywords

Continuum mechanicsGrowth induced stressMulti-cell tumour spheroidNecrosis

Mathematics Subject Classification ID

Medical applications (general) (92C50) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (6)

The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics ⋮ Elastic Growth Models ⋮ Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method ⋮ Are homeostatic states stable? Dynamical stability in morphoelasticity ⋮ A framework for deformation, generalized diffusion, mass transfer and growth in multi-species multi-phase biological tissues ⋮ Individual-based and continuum models of growing cell populations: a comparison

Cites Work

• On the mechanics of a growing tumor
• The migration of cells in multicell tumor spheroids
• A new approach to modelling the formation of necrotic regions in tumours
• A model for the volumetric growth of a soft tissue
• A mathematical model of the stress induced during avascular tumour growth
• The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids
• On the mechanics of solids with a growing mass.
• Compatibility and the genesis of residual stress by volumetric growth
• A Mathematical Model of Trophoblast Invasion
• AVASCULAR TUMOUR DYNAMICS AND NECROSIS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Residual stress generation and necrosis formation in multi-cell tumour spheroids