A viscoelastic model for avascular tumor growth | Zendy

Didier Bresch | Zendy; Thierry Colin | Zendy; Emmanuel Grenier | Zendy; Benjamin Ribba | Zendy; Olivier Saut | Zendy

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A viscoelastic model for avascular tumor growth

Author(s) -

Didier Bresch,

Thierry Colin,

Emmanuel Grenier,

Benjamin Ribba,

Olivier Saut

Publication year - 2009

Publication title -

conference publications

Language(s) - English

Resource type - Book series

DOI - 10.3934/proc.2009.2009.101

Subject(s) - viscoelasticity , set (abstract data type) , division (mathematics) , adhesion , order (exchange) , cell division , mechanics , computer science , biology , mathematics , cell , chemistry , physics , genetics , economics , thermodynamics , arithmetic , programming language , organic chemistry , finance

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 [18] with a more realistic description of the forces that drive the movement.

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