Mathematical modelling of cancer cell invasion of tissue

A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

Alexander R.A. Anderson · Mathematical Medicine and Biology A Journal of the IMA · 2005 · 586 citations

Cell Adhesion, Biological Microenvironments, Pathology +16

A reaction-diffusion model of cancer invasion.

Robert A. Gatenby, E. T. Gawlinski · PubMed · 1996 · 583 citations

Tumor Biology, Cancer Invasion, Biological Microenvironments +12

E-Cadherin Suppresses Cellular Transformation by Inhibiting β-Catenin Signaling in an Adhesion-Independent Manner

Cara J. Gottardi, Ellen Wong, Barry M. Gumbiner · The Journal of Cell Biology · 2001 · 535 citations · Full text

A single-cell-based model of tumor growth<i>in vitro</i>: monolayers and spheroids

Dirk Drasdo, Stefan Höhme · Physical Biology · 2005 · 438 citations

Engineering, Biological Microenvironments, Cell Proliferation +22

Modelling solid tumour growth using the theory of mixtures

Helen M. Byrne · Mathematical Medicine and Biology A Journal of the IMA · 2003 · 425 citations

Mechanobiology, Solid Tumour Growth, Cell Proliferation Rate +15