Publications and prepublications
- P. Gabriel, A. B. Lindner and H. Berry, Modelling protein aggregation in a non homogeneous and growing E. Coli cell, in preparation.
- J.-M. Coron, P. Gabriel and P. Shang, Optimization of an amplification protocol for misfolded proteins by using relaxed control, in preparation.
- D. Balagué, J. A. Cañizo and P. Gabriel, Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates, submitted.
- V. Calvez and P. Gabriel, Optimal growth for linear processes with affine control, preprint.
- S. Prigent, A. Ballesta, F. Charles, N. Lenuzza, A. Pastore, P. Gabriel, L. M. Tine, H. Rezaei and M. Doumic,
An efficient kinetic model for amyloid fibrils assemblies and its application to polyglutamine aggregation, submitted.
- P. Gabriel, S. P. Garbett, D. R. Tyson, G. F. Webb and V. Quaranta, The contribution of age structure to cell population responses to targeted therapeutics, J. Theor. Biol., under revision.
- P. Gabriel, Long-time asymptotics for nonlinear growth-fragmentation equations, Comm. Math. Sci., Vol.10, No.3 (2012), p.787-820.
- V. Calvez, M. Doumic and P. Gabriel, Self-similarity in a general aggregation-fragmentation problem ;
application to fitness analysis, J. Math. Pures Appl. (2012), in press.
- P. Gabriel, The shape of the polymerization rate in the prion equation, Math. Comput. Modelling, Vol.53 (2011), p.1451-1456.
- P. Gabriel and L. M. Tine, High-order WENO scheme for polymerization-type equations, ESAIM Proc., Vol.30 (2010), p.53-69.
- M. Doumic and P. Gabriel, Eigenelements of a general aggregation-fragmentation model, Math. Models Methods Appl. Sci., Vol.20, No.5 (2010), p.757-783.
Abroad Research Stays
- January-May 2011: Vanderbilt University (Nashville, Tennessee), with Glenn Webb.
Grant from the Fondation Pierre Ledoux - Jeunesse Internationale. (2 x 1,5 months)
Communications at International Conferences
- March 2012: 10th International Conference on Operations Research, Habana, Cuba
- November 2011: SIAM Conference on Analysis of Partial Differential Equations, San Diego, California
- July 2011: International Conference on Nonlinear Operators, Differenrital Equations and Applications, Cluj-Napoca, Romania
- April 2011: Mathematics and Biology: Young Investigators International Workshop, Rouen, France
- September 2010: Workshop Fluid-Kinetic Modelling in Biology, Physics and Engineering at the Newton Institute, Cambridge, England
- June 2010: Conference on Computational and Mathematical Population Dynamics, Bordeaux, France
- May 2010: The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany
- April 2010: Workshop Nonlinear PDEs arising in mathematical biology: cell migration and tissue mechanics at the ICMS, Edinburgh, Scotland
- November 2009: International Workshop on Biomathematics and Biomechanics, Tozeur, Tunisia
Communications at Seminars
- February 2012: Seminar of the MIP team, Université Paul Sabatier, Toulouse, France
- February 2012: Seminar Applied Analysis, Laboratoire d'Analyse, Topologie, Probabilités, Université Aix-Marseille 1, France
- January 2012: Seminar of the Laboratoire de Biométrie et de Biologie Évolutive, Université Lyon 1, France
- December 2011: Seminar Numerical Analysis and PDE, Université Paris-Sud 11, France
- November 2011: Seminar Mathematical Modelling in Medecine and Biology, INRIA Lyon, France
- March 2011: Prion day, INRIA, Lyon France
- January 2011: PDE seminar, Vanderbilt University, Nashville, Tennessee
- October 2010: Internal day of the Laboratoire Jacques-Louis Lions, Université Paris 6, France
- October 2010: Seminar of the MIP team, Université Paul Sabatier, Toulouse, France
- June 2010: Seminar Numerical Modeling and Images, Université Paris Descartes, France
- May 2010: Joint session Seminar Math-Bio / Student Seminar of the Laboratoire Jacques-Louis Lions, Université Paris 6, France
- November 2009: Student Seminar of the Laboratoire Paul Painlevé, Lille, France
- September 2009: Day of the project-team BANG, INRIA Rocquencourt, France
- August 2009: Student Seminar and Project Presentation of the Cemracs'09, Marseille, France [slides]
- February 2009: Student Seminar of the Laboratoire Jacques-Louis Lions, Université Paris 6, France
- January 2009: Mathematical Meetings of the ENS Cachan, France
- September 2008: Day of the project-team BANG, INRIA Rocquencourt, France
Participation to Conferences and Schools
- March 2012 : Thematic School : Present Challenges of Mathematics in Oncology and Biology of Cancer, CIRM, Marseille, France (1 week)
- March 2010: Numerical Meetings, Université Lille 1, France (2 days)
- July-August 2009: Summer School then Research Session (PRION project) of the Cemracs'09, Marseille, France (6 weeks)
- May 2009: Workshop "Mathematical Biology" at the MFO, Oberwolfach, Germany (1 week)
- February 2009: Advanced Courses and Conferences on Mathematical Biology "Modeling and Differential Equations" at the CRM, Barcelona, Spain (2 weeks)
Administrative and Scientific Duties
- 2012: Co-organizer of the summer school: "Modelling in population dynamics and Evolution"
- 2010: Representative of the PhD students at the boards of the Laboratoire Jacques-Louis Lions
Participation to Research Groups
|
ANR Project PAGDEG: "Causes and consequences of protein aggregation in cellular degeneration" ANR Project TOPPAZ: "Theory and Observations of Polymerization processes in Prion and Alzheimer diseases" |
 |