We develop a discrete model of malignant invasion using a thermodynamic argument. An
extension of the Potts model is used to simulate a population of malignant cells experiencing …

Cancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale
phenomenon involving many inter-related genetic, biochemical, cellular and tissue …

The ability to invade tissue is one of the hallmarks of cancer. Cancer cells achieve this
through the secretion of matrix degrading enzymes, cell proliferation, loss of cell–cell …

The process of invasion of tissue by cancer cells is crucial for metastasis—the formation of
secondary tumours—which is the main cause of mortality in patients with cancer. In the …

In this paper we present a hybrid mathematical model of the invasion of healthy tissue by a
solid tumour. In particular we consider early vascular growth, just after angiogenesis has …

Mathematical models of tumour invasion appear as interesting tools for connecting the
information extracted from medical imaging techniques and the large amount of data …

Invasive cells show changes in adhesion, motility and the protease-antiprotease balance. In
this paper the authors derive a model based on a continuum approach that describes the …

The ability of cancer cells to break out of tissue compartments and invade locally gives solid
tumours a defining deadly characteristic. One of the first steps of invasion is the remodelling …

Clinical outcome prognostication in oncology is a guiding principle in therapeutic choice. A
wealth of qualitative empirical evidence links disease progression with tumor morphology …

The extracellular matrix (ECM) is a highly organised structure with the capacity to direct cell
migration through their tendency to follow matrix fibres, a process known as contact …