Formation of Evolutionary Patterns in Cancer Dynamics

Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 15)

Abstract

This chapter originated from the idea that carcinogenesis can be considered as a multiscale morphogenetic process. A mathematical framework for modeling cell dynamics in multicellular systems is proposed. This framework is developed on the basis of the formal structures that are offered by the Kinetic Theory for Active Particles. A specific model for cancer evolution in epithelial cells is derived by the proposed mathematical framework. This model describes the morphogenesis of multiple sub-populations of cancer cells at different malignancy stages. Simulations are developed with an exploratory aim. The obtained results offer insights into the role played by mutation, proliferation and differentiation phenomena on the morphogenesis of sub-populations of cancer cells.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of MathematicsPolitecnico di TorinoTorinoItaly

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