Original Papers


 A Geometrically-constrained mathematical model of mammary gland ductal elongation reveals novel cellular dynamics within the terminal end bud.
Date: 2016
Authors: I.S. Paine, A. Chauviere*, J.D. Landua, A. Sreekumar, V. Cristini, J.M Rosen and M.T. Lewis*
Journal: PLoS Computational Biology

A hybrid model to test the importance of mechanical cues driving cell migration in angiogenesis.
Date: 2015
Authors: A. Stéphanou, S. Le Floc'h and A. Chauviere
Journal: Mathematical Modelling of Natural Phenomena

Quantitative measurements and modeling of cargo-motor interactions during fast transport in the living axon.
Date: 2012
Authors: P.E. Seamster, M. Loewenberg, J. Pascal, A. Chauviere, A. Gonzales, V. Cristini and E.L. Bearer
Journal: Physical Biology

Dynamic density functional theory of solid tumor growth: Preliminary models.
Date: 2012
AuthorsA. Chauviere*, H. Hatzikirou, I.G. Kevrekidis, J.S. Lowengrub and V. Cristini
Journal: AIP Advances, special topic section Physics of Cancer

Investigation of the migration/proliferation dichotomy and its impact on avascular glioma invasion.
Date: 2012 (Published online January 2012)
Authors: K. Böttger, H. Hatzikirou, A. Chauviere*, and A. Deutsch
Journal: Mathematical Modelling of Natural Phenomena

Identification of intrinsic in vitro cellular mechanisims for glioma invasion.
Date: 2011
Authors: M. Tektonidis, H. Hatzikirou, A. Chauviere*, M. Simon, K. Schaller and A. Deutsch
Journal: Journal of Theoretical Biology

Density-dependent quiescence in glioma invasion: instability in simple reaction-diffusion model model for the migration/proliferation dichotomy.
Date: 2011 (Published online June 2011)
Authors: K. Pham, A. Chauviere*, H. Hatzikirou, X. Li, H.M. Byrne, V. Cristini and J. Lowengrub
Journal: Journal of Biological Dynamics

A model of cell migration within the extracellular matrix based on phenotypic switching mechanism.
Date: 2010 (E-pub: Nov. 2009)
Authors: A. Chauviere*, L. Preziosi and H.M. Byrne
Journal: Mathematical Medicine and Biology

Modeling cell movement in anisotropic and heterogenous network tissues.
Date: 2007
Authors: A. Chauviere, T. Hillen and L. Preziosi
Journal: Networks and Heterogeneous Media

Modeling the motion of a cell population in the extracellular matrix.
Date: 2007
Authors: A. Chauviere, T. Hillen and L. Preziosi
Journal: Discrete and Continuous Dynamical Systems (Supplement Volume)

On the discrete kinetic theory for active particles.  Modelling the immune competition.
Date: 2006
Authors: I. Brazzoli and A. Chauviere
Journal: Computational and Mathematical Methods in Medicine

On the discrete kinetic theory for active particles.  Mathematical Tools.
Date: 2006
Authors: A. Chauviere* and I. Brazzoli
Journal: Mathematical and Computer Modelling

Dusty debris in tornadoes modelled by high Reynolds number two cell vortices.
Date: 2005
Authors: A. Chauviere and J. Chaskalovic
Journal: International Journal of Engineering Science

Appearance of a source/sink into a swirling vortex.
Date: 2003
Authors: J. Chaskalovic and A. Chauviere
Journal: Mathematical Models and Methods in Applied Sciences

Non-axisymmetric boundary layer induced by a swirling downdraft.
Date: 2000
Authors: A. Chauviere
Journal: Comptes Rendus de l'Académie des Sciences de Paris IIb

Thermal convection into a swirling source/sink line vortex.
Date: 1999
Authors: J. Chaskalovic and A. Chauviere
Journal: Comptes Rendus de l'Académie des Sciences de Paris I

Genesis of a swirling source/sink line into an updraft.
Date: 1998
Authors: J. Chaskalovic and A. Chauviere
Journal: Comptes Rendus de l'Académie des Sciences de Paris I

Reviews / Perspectives


Integrative physical oncology.
Date: 2011
Authors: H. Hatzikirou, A. Chauviere*, A.L. Bauer, A. Leier, M.T. Lewis, P.T. Macklin, T.T. Marquez-Lago, E.L. Bearer and V. Cristini
Journal: Wiley Interdisciplinary Reviews Systems Biology and Medicine

Mathematical Oncology: How Are the Mathematical and Physical Sciences Contributing to the War on Breast Cancer?
Date: 2010
Authors: A. Chauviere, H. Hatzikirou, J. Lowengrub, H. Frieboes, A.M. Thompson and V. Cristini
Journal: Current Breast Cancer Reports

Proceedings


Hybrid modelling of mechanical cues in cell migration. 
Date: 2015
Authors: A. Stéphanou, S. Le Floc'h and A. Chauviere
Journal: ITM Web of Conferences

Conference: Multiscale and hybrid modelling in cell and cell population biology

Modélisation mathématique du régime développé d'une tornade atmosphérique.
Date: 2002
Authors: A. Chauviere and J. Chaskalovic
Journal: Comptes Rendus de la 5ème Rencontre du Non-Linéaire

Convection thermique dans une ligne de puits ou de sources tourbillonnaire.
Date: 1999
Authors: J. Chaskalovic and A. Chauviere
Journal: 14ème Congrès Français de Mécanique (#1003) ISBN 2840880407

Books


Cell mechanics: From single scale-based models to multiscale modeling.
Date: 2010
Editors: A. Chauviere, L. Preziosi and C. Verdier
Publisher: Taylor & Francis Group, Chapman & Hall/CRC Mathematical and Computational Biology Series, ISBN 9781420094541

Book Chapters


Auto-organisation et agrégation cellulaire sans chimiotactisme : Instabilités, ordre et désordre associés à la densité.
Date: 2015
Authors: A. Chauviere* and F. Peruani
In: Le vivant critique et chaotique
Publisher: Editions Matériologiques

Introduction aux automates cellulaires de type lattice-gas. Application à la croissance in vitro des gliomes et à l’identification de leurs mécanismes d’invasion.
Date: 2013
Authors: A. Chauviere*, H. Hatzikirou, M. Tektonidis and A. Deutsch
In: Le vivant discret et continu
Publisher: Editions Matériologiques

Effect of vascularization on glioma tumor growth.
Date: 2012
Authors: H. Hatzikirou, A. Chauviere, J. Lowengrub, J. de Groot and V. Cristini
In: Modeling Tumor Vasculature: Molecular, Cellular, and Tissue Level Aspects and Implications
Publisher: Springer-Verlag

Mathematical framework to model migration of cell population in extracellular matrix.
Date: 2010
Authors: A. Chauviere* and L. Preziosi
In: Cell Mechanics: From single-scale based models to multiscale modeling
Publisher: Taylor & Francis Group, Chapman & Hall/CRC Mathematical and Computational Biology Series, ISBN 9781420094541

Manuscripts Under Review