A computational study of the development of epithelial acini. II: Necessary conditions for structure and lumen stability

DOI10.1007/s11538-008-9308-3zbMath1146.92020OpenAlexW2166223265WikidataQ37266985 ScholiaQ37266985MaRDI QIDQ941155

Katarzyna A. Rejniak, Alexander R. A. Anderson

Publication date: 4 September 2008

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

Full work available at URL: https://europepmc.org/articles/pmc3812684

zbMATH Keywords

immersed boundary methoddevelopment of epithelial tumorsformation of mutant acinisingle cell based model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Medical applications (general) (92C50) Biomechanics (92C10) Cell biology (92C37)

Related Items

A 2D mechanistic model of breast ductal carcinoma \textit{in situ} (DCIS) morphology and progression, Tumor growth and calcification in evolving microenvironmental geometries, A computational study of the development of epithelial acini. I: Sufficient conditions for the formation of a hollow structure, Modelling of Cancer Growth, Evolution and Invasion: Bridging Scales and Models, Patient-calibrated agent-based modelling of ductal carcinoma in situ (DCIS): from microscopic measurements to macroscopic predictions of clinical progression, Microenvironment driven invasion: a multiscale multimodel investigation

Cites Work

• A single-cell approach in modeling the dynamics of tumor microregions
• A computational study of the development of epithelial acini. I: Sufficient conditions for the formation of a hollow structure
• Microenvironment driven invasion: a multiscale multimodel investigation
• A single cell-based model of the ductal tumour microarchitecture
• The immersed boundary method
• A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion