Publications

Peer-Reviewed journals


• The division of amyloid fibrils (link),
  David Béal, Magali Tournus, Ricardo Marchante, Tracey Purton, David Smith, Mick Tuite, Marie Doumic, Wei-Feng Xue
  Preprint, 2018.


• Asymptotic preserving discretisation of a Jin-Xin model with implicit equilibrium manifold on a bounded domain equation with source term (pdf),
  N. Seguin, and M. Tournus
  IMA journal of numerical analysis, 2018.


• A norm for signed measures. Application to non local transport equation with source term (pdf),
  B. Piccoli, F. Rossi, and M. Tournus
  Preprint, 2017.


• A growth-fragmentation approach for modeling microtubule dynamic instability (pdf),
  S. Honore, F. Hubert, M. Tournus and D. White
  Bulletin of mathematical biology, 2018.


• A general existence result for conservation laws with spatial heterogeneities (pdf),
  B. Piccoli and M. Tournus
  SIAM Journal on Mathematical Analysis, Vol. 50, No 3, 2901-2927, 2018.


• Estimating the division rate and kernel in the fragmentation equation (pdf),
  M. Doumic, M. Escobedo, and M. Tournus
  Annales de l'IHP, analyse non linéaire, 2018.


• Flagella bending affects macroscopic properties of bacterial suspensions (pdf) (about the paper),
  M. Potomkin, M. Tournus, L. Berlyand and I. Aranson
  J. R. Soc. Interface 14., 2016.


• Flexibility of bacterial flagella in external shear results in complex swimming trajectories (pdf),
  M. Tournus, A. Kirshtein, L. V. Berlyand and I. S. Aranson,
  J. R. Soc. Interface 12., 2015.


• A simple derivation of BV bounds for inhomogeneous relaxation systems (pdf)
  B. Perthame, N. Seguin and M. Tournus
  Commun. Math. Sci. 13(2), 577–586, 2014.


• A model of calcium transport along the rat nephron (link ),
  M. Tournus, N. Seguin, B. Perthame, S. R. Thomas, and A. Edwards,
  American Journal of Physiology, Renal Physiology, 305(7) :F979–F994, 2013.


• An asymptotic study to explain the role of active transport in models with countercurrent exchangers (pdf)
  M. Tournus
  SeMA Journal, 59 :19–35, 2012.


• A finite volume scheme for a kidney nephron model (pdf),
  A. Edwards, N. Seguin and M. Tournus
  ESAIM : Proc., 35–Congrès National de Mathématiques Appliquées et Industrielles :287–292, 2012.


• Analysis of a simplified model of the urine concentration mechanism (pdf),
  M. Tournus, A. Edwards, N. Seguin and B. Perthame,
  Netw. Heterog. Media, 7(7) :989 – 1018, 2012.


Others


• Report on the workshop "Modéliser" (in french) (pdf),
  M. Tournus, A. Trescases
  Matapli, SMAI, Sept. 2016.



Dissertation
Modèles d'échanges ioniques dans le rein: théorie, analyse asymptotique et applications numériques,
under the supervision of Aurélie Edwards, Nicolas Seguin and Benoit Perthame,
at the Laboratoire Jacques-Louis Lions, UPMC, Paris, July 2013.

Long Research Stays

• March 2019
  High School of Economics, Moscow, Russia.


• April 2018
  Benedetto Piccoli
  CCIB, Rutgers University, Camden, New-Jersey, USA.


• May/June 2017
  Benedetto Piccoli
  CCIB, Rutgers University, Camden, New-Jersey, USA.


• September/October 2014
  Pierre-Emmanuel Jabin
  CSCAMM, University of Maryland, Maryland, USA.


• November 2013 - February 2014
  Igor Aranson
  Material and Science Division, Argonne National Laboratory, Illinois, USA.

Talks

• September 2019 : Workshop MAMOVI, Tours, France
• June 2019 : Conference "Finite volume and finite elements", Besançon, France
• June 2019 : Conference "Numerical Methods for Multiscale Models arising in Physics and Biology", Nantes, France
• June 2019 : Workshop, LMA, Marseille, France
• February 2019 : PDE seminar, ICJ, Lyon, France
• January 2019 : Seminar CEA-SMAI/GAMNI, Institut Henri Poincarré, Paris, France
• January 2019 : PDE seminar, University of Versailles, France
• December 2018 : PDE/numerical analysis seminar, IRMAR, Rennes, France
• August 2018 : CEMRACS seminar, CIRM, Marseille, France
• February 2018 : Seminar on inverse problems, I2M, Marseille, France
• December 2017 : Seminar of hyperbolic equations, I2M, Marseille, France
• December 2017 : Journees Maths bio, Dauphine University, Paris, France
• November 2017 : Seminar ot the Maths-bio team, LJLL, Paris, France
• July 2017 : SIAM meeting, Pittsburgh, PA, USA
• June 2017 : Workshop on the fragmentation equations, TU Wien, Vienna, Austria
• March 2017 : Seminar ot the Maths-bio team, IMT, Toulouse, France
• December 2016 : CIMPA School "Mathematical models in biology and medicine",, Moka, Mauritius
• November 2016 : Seminar in the mathematical department, TU Wien, Vienna, Austria
• June 2016 : The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, USA
• February 2016 : Seminar of the numerical analysis team, Laboratoire Jean Lerray, Nantes, France
• July 2015 : Annual conference of the Society for Mathematical Biology, Atlanta, GA, USA
• December 2014 : Seminar of the goup of Pr Sen, Chemistry Department, Penn State University, State College, PA, USA
• December 2014 : Invited speaker at the Seminar of (CCIB) Rutgers University, Camden, NJ, USA
• October 2014 : Young Researchers Workshop: Multiscale phenomena: modeling, analysis and computation, CSCAMM, College Park, MD, USA
• October 2014 : Conference "Modeling and Control in Social Dynamics", Rutgers University, Camden, NJ, USA
• September 2014 : PDE and Applied Maths Seminar,University of Maryland, College Park, MD, USA
• September 2013 : Conference "PDEs and Dynamical Systems in Biology", Bar-Ilan University, Ramat Gan, Israel
• June 2013 : Fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China
• May 2013 : Mathematical seminary of Zhejiang University, Shangai, China
• April 2013 : Young researcher seminary of Paris Est University, Marne la Vallée, France
• January 2013 :Young researcher seminary of the Ecole Normale Superieure de Lyon, Lyon, France
• January 2013 : Seminary (Physiologie et physiopathologies rénales), Centre de Recherche des Cordeliers, Paris, France
• December 2012 : Seminary of the Laboratoire d'Orsay, Orsay, France
• November 2010 : Seminary of mathematical biology, Paris 6, France
• September 2012 : Summer School : Modélisation en dynamique des populations et évolution, La Londe les Maures, France.
• May 2012 : CANUM 2012, Superbesse, France.
• January 2012 (pdf): Dracula team, INRIA, Lyon, France.
• December 2011: Student Seminar of the MAP5, Paris Descartes University, Paris, France.
• December 2011: Young researchers seminar at the IHP, Paris, France.
• November 2011: Centre de Recherche des Cordeliers, Paris, France.
• March 2011: Young researcher Seminar of the Laboratoire J.-L. Lions, Paris, France .
• January 2011 : Institut Gustave Roussy, Evry, France.
• September 2010 : Centre de Recherche des Cordeliers, Paris, France

Posters

• May 2011 (pdf) : "5èmes Biennale francaise des mathématiques appliquées et industrielles" (SMAI 2011), Guidel, France.
• December 2011 : Journées Lions-Magenes, LJLL, UPMC, Paris, France .

Organization of scientific events

• Feb 2020 : Co-organizer of a workshop "Mathematical issues of complex systems in biology and medecine", CIRM, Marseille, France
• Jan 2019 : Co-organizer with Charlotte Perrin of a workshop on Traffic Flows, FRUMAM, Marseille, France
• March 2016: Co-organizer with Ariane Trescases of a workshop on modeling, Marseille, France (funded by "Projet BOUM, SMAI")
• May 2015 : Organizer of a mini-symposium, Congres SMAI, Les Karellys, France

Awards

• 2016-20 PEDR (Prime d'encadrement doctoral et de recherche)
• 2011 Best Poster award at the SMAI congress

Fundings

• 2018 PICS (Projet International de Cooperation Scientifique) - with Franceso Rossi and in collaboration with Benedetto Piccoli: Commande de l'équation de transport : méthodes et applications
• 2018 PEPS- Jeune chercheur
• 2017 PEPS (Projet exploratoire premier soutien)- Jeune chercheur
• 2016 Projet BOUM, SMAI