Didier Bresch - Laboratoire de Mathématiques Appliquées, UMR6620, 24 avenue des Landais, 63177 Aubière, France (email)
Abstract: In this article, we present a new continuous model for tumor growth. This model describes the evolution of three components: sane tissue, cancer cells and extracellular medium. In order to render correctly the cellular division, this model uses a discrete description of the cell cycle (the set of steps a cell has to undergo in order to divide). To account for cellular adhesion and the mechanics which may influence the growth, we assume a viscoelastic mechanical behavior. This model extends the one presented in  with a more realistic description of the forces that drive the movement.
Keywords: Avascular tumor growth. Multiscale models. Cell cycle modeling. Fluid dynamics.
Received: August 2008; Revised: July 2009; Published: September 2009.