Morphological stability for in silico models of avascular tumors

DOI10.1007/s11538-024-01297-xzbMATH Open1544.92042MaRDI QIDQ6564777

Stefan Engblom, Erik Blom

Publication date: 1 July 2024

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

zbMATH Keywords

Darcy's lawemergent propertySaffman-Taylor instabilitycell population modelingcomputational tumorigenesis

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Biomechanics (92C10) Computational methods for problems pertaining to biology (92-08) Pathology, pathophysiology (92C32)

Cites Work

• Reproducibility of scratch assays is affected by the initial degree of confluence: experiments, modelling and model selection
• Modelling the role of cell-cell adhesion in the growth and development of carcinomas
• Nonlinear simulation of tumor growth
• On the derivation of approximations to cellular automata models and the assumption of independence
• Minimal morphoelastic models of solid tumour spheroids: a tutorial
• A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Mathematical Models of Avascular Tumor Growth
• Nonlinear modelling of cancer: bridging the gap between cells and tumours

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