David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 43 (4) (1995)
Mathematical models of tumour invasion appear as interesting tools for connecting the information extracted from medical imaging techniques and the large amount of data collected at the cellular and molecular levels. Most of the recent studies have used stochastic models of cell translocation for the comparison of computer simulations with histological solid tumour sections in order to discriminate and characterise expansive growth and active cell movements during host tissue invasion. This paper describes how a deterministic approach based on reaction-diffusion models and their generalisation in the mechano-chemical framework developed in the study of biological morphogenesis can be an alternative for analysing tumour morphological patterns. We support these considerations by reviewing two studies. In the first example, successful comparison of simulated brain tumour growth with a time sequence of computerised tomography (CT) scans leads to a quantification of the clinical parameters describing the invasion process and the therapy. The second example considers minimal hypotheses relating cell motility and cell traction forces. Using this model, we can simulate the bifurcation from an homogeneous distribution of cells at the tumour surface toward a nonhomogeneous density pattern which could characterise a pre-invasive stage at the tumour-host tissue interface.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
D. Manoussaki, S. R. Lubkin, R. B. Vemon & J. D. Murray (1996). A Mechanical Model for the Formation of Vascular Networks in Vitro. Acta Biotheoretica 44 (3-4).
Philippe Tracqui & Jacques Ohayon (2004). Transmission of Mechanical Stresses Within the Cytoskeleton of Adherent Cells: A Theoretical Analysis Based on a Multi-Component Cell Model. Acta Biotheoretica 52 (4).
Thomas S. Deisboeck, Tim Demuth & Yuri Mansury (2005). Correlating Velocity Patterns with Spatial Dynamics in Glioma Cell Migration. Acta Biotheoretica 53 (3).
Caroline Rosello, Pascal Ballet, Emmanuelle Planus & Philippe Tracqui (2004). Model Driven Quantification of Individual and Collective Cell Migration. Acta Biotheoretica 52 (4).
Loïc Forest & Jacques Demongeot (forthcoming). A General Formalism for Tissue Morphogenesis Based on Cellular Dynamics and Control System Interactions. Acta Biotheoretica.
Roy Douglas Pearson (1981). Tumourigenesis: The Subterfuge of Selection. Acta Biotheoretica 30 (3).
Armando Aranda-Anzaldo (2001). Cancer Development and Progression: A Non-Adaptive Process Driven by Genetic Drift. Acta Biotheoretica 49 (2).
Dieter Wolf-Gladrow (2010). Lattice-Gas Cellular Automaton Models for Biology: From Fluids to Cells. Acta Biotheoretica 58 (4):329-340.
M. Aubert, M. Badoual & B. Grammaticos (2008). A Model for Short- and Long-Range Interactions of Migrating Tumour Cell. Acta Biotheoretica 56 (4).
M. A. J. Chaplain (1995). The Mathematical Modelling of Tumour Angiogenesis and Invasion. Acta Biotheoretica 43 (4).
Added to index2009-01-28
Total downloads8 ( #179,168 of 1,102,057 )
Recent downloads (6 months)1 ( #306,606 of 1,102,057 )
How can I increase my downloads?