Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

The impact of adhesion on cellular invasion processes in cancer and development

(2010) Kevin J. Painter et al.   JOURNAL OF THEORETICAL BIOLOGY

Front Instabilities and Invasiveness of Simulated Avascular Tumors

(2009) Nikodem J. Popławski et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Increased invasive behaviour in cutaneous squamous cell carcinoma with loss of basement-membrane type VII collagen

(2009) V. L. Martins et al.   JOURNAL OF CELL SCIENCE

MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS

(2009) ZUZANNA SZYMAŃSKA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

In vivo imaging of extracellular matrix remodeling by tumor-associated fibroblasts

(2009) Jean Y Perentes et al.   NATURE METHODS

Nonlinear modelling of cancer: bridging the gap between cells and tumours

(2009) J S Lowengrub et al.   NONLINEARITY

Modeling the Influence of the E-Cadherin-β-Catenin Pathway in Cancer Cell Invasion: A Multiscale Approach

(2008) Ignacio Ramis-Conde et al.   BIOPHYSICAL JOURNAL

The role of proteases in transforming growth factor-β activation

(2008) G JENKINS   INTERNATIONAL JOURNAL OF BIOCHEMISTRY & CELL BIOLOGY

Microenvironment driven invasion: a multiscale multimodel investigation

(2008) Alexander R. A. Anderson et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Modelling cell migration strategies in the extracellular matrix

(2008) K. J. Painter   JOURNAL OF MATHEMATICAL BIOLOGY

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion

(2007) A. Gerisch et al.   JOURNAL OF THEORETICAL BIOLOGY