Contact Inhibition of Growth Described by a Multiphase and an Individual Cell-Based Models

In this paper the phenomenon of contact inhibition of growth is studied applying an individual based model and a continuum multiphase model to cell colony growth in vitro. The impact of different cell behavior in response to mechanical cues is investigated. The paper aims at comparing the results of both models from the qualitative and whenever possible also the quantitative point of view.

[1]  H. Othmer,et al.  A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS , 2007 .

[2]  M. Chaplain,et al.  Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. , 2006, Mathematical medicine and biology : a journal of the IMA.

[3]  Dirk Drasdo,et al.  Coarse Graining in Simulated Cell Populations , 2005, Adv. Complex Syst..

[4]  A. Anderson,et al.  A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion , 2005 .

[5]  Gernot Schaller,et al.  Multicellular tumor spheroid in an off-lattice Voronoi-Delaunay cell model. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  L. Preziosi,et al.  ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH , 2002 .

[7]  G. Christofori,et al.  Cadherins and the tumour progression: is it all in a switch? , 2002, Cancer letters.

[8]  H. Rubin.  Selected cell and selective microenvironment in neoplastic development. , 2001, Cancer research.

[9]  J. McCaskill,et al.  Monte Carlo approach to tissue-cell populations. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Glazier,et al.  Simulation of biological cell sorting using a two-dimensional extended Potts model. , 1992, Physical review letters.

[11]  L. Preziosi,et al.  Multiphase models of tumour growth , 2008 .

[12]  Markus Loeffler,et al.  Tumorigenesis and Neoplastic Progression Individual Cell-Based Models of Tumor-Environment Interactions Multiple Effects of CD 97 on Tumor Invasion , 2006 .

[13]  M. Loeffler,et al.  Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro. , 2005, Biophysical journal.

[14]  H. Othmer,et al.  Mathematik in den Naturwissenschaften Leipzig How cellular movement determines the collective force generated by the Dictyostelium discoideum slug , 2004 .

[15]  M. Loeffler,et al.  Epidermal cell proliferation , 1987, Virchows Archiv. B, Cell pathology including molecular pathology.