Benoit  PERTHAME

Update :  April 2013   Laboratoire J.-L. Lions Université Pierre et Marie Curie                                                 BC187                  4, pl. Jussieu 75252 Paris cedex 05   Tour 16-26, etage 3,  bureau 325 tel.   (33) 1 44 27  85 18 sec.   (33) 1 44  27 42 98   Email :  Benoit.Perthame’at’upmc.fr

                                                                                                                                                                                                    

INRIA projet BANG                                        Mastere M2:  "Mathématiques appliquées aux sciences biologiques et biomédicales"

Course

Growth, reaction, movement and diffusion from biology :     Course

 

 

Research field :       Mathematics and models from life sciences

 

 

Motion of cells and chemotaxis:    Parabolic, hyperbolic and kinetic models are used to describe the collective motion and self-organization of cells or bacterial colonies.

 

Population balance laws:     Growth in cell populations, polymerization processes by aggregation and fragmentation. The inverse problem is particularly interesting.

 

Motivated by darwinian evolution : Multiplication, selection and mutations are principles that can be written in nonlocal parabolic models.

They give rise to solutions that concentrate as Dirac masses.

 

PDE models for neuronal networks :    Closure of stochastic models of neuronal networks lead to interesting PDE models as the Integrate and Fire or Elapsed Time model.

Questions here are to understand desynchronsation, spontaneous activity, information coding.

 

Tumor growth and resistance to chemotherapy :     This is an ongoing project in the team   BANG

 

Renal flows :     This is an ongoing project with :  A. Edwards (CNRS-INSERM, ERL 7226 - UMRS 872),  N. Seguin and M. Tournus

 

                                                                                             Some other infos

A short-vitae                              Bibliography (recent papers)

 

 

                                                                                                         Recent preprints

 

 

Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies  with J. Clairambault, M. Hochberg, A. Lorz and T. Lorenzi. ESAIM :M2AN 47(2) 377-399 (2013)

 

Invasion fronts with variable motility      with many collaborators. CRAS (2012)

 

Nonlinear stability of a Vlasov equation for  plasmas  with F. Charles, B. Després and R. Sentis. KRM Vol. 6, No. 2 2013

 

Stochastic averaging lemmas for kinetic equations   with P.-L. Lions and P. E. Souganidis. Seminaire X-EDP 2012

 

Optimal regularizing effect for scalar conservations laws      with F. Golse (Rev. Mat. Iberoam., to appear)

 

Direct competition results from strong competiton for limited resource     with S. Mirrahimi, J. Wakano.  J. Math. Biol. To appear.

 

Relaxation and self-sustained oscillations in the time elapsed neuron network model     with  K. Pakdaman and D. Salort. SIAM J. Appl. Math. To appear.

 

Analysis of a simplified model of the urine concentration mechanism  with A. Edwards, N. Seguin and M. Tournus (2011)

 

Regularization in Keller-Segel type systems...etc         with A. Vasseur Comm. Math. Sc. Vol; 10(2) (2012) 463--476.

 

A structured model for cell differentiation  with M. Doumic, Anna Marciniak-Czochra and J. Zubelli. SIAM J. Appl. Math. Vol. 71, No. 6, pp. 1918–1940 (2011)

 

Evolution of species trait through resource competition   with S. Mirrahimi, J. Wakano (2011),  J. Math. Biology.

 

Model for Chronic Myelogenous Leukemia  with M. Doumic-Jauffret and P. Kim, Vol. 72(7), 1732—1759 (2010).

 

Can a traveling wave connect two unstable states?      with G. Nadin and M. Tang. C.R.A.S. Paris, Série I (2011).

 

Analysis of Nonlinear Noisy Integrate and Fire Neuron Models: blow-up and steady states       with M. J Caceres, J. A. Carrillo. J. Math. Neurosciences 2011

 

Traveling plateaus for a HKS...: existence and branching instabilities      with C. Schmeiser, M. Tang, N. Vauchelet. Nonlinearity 24 (2011) 1253-1270.

                                                                               

Branching instabilities in Hyperbolic Keller-Segel system   with F. Cerretti, C. Schmeiser, M. Tang, N. Vauchelet.  M3AS Vol. 21, Suppl. (2011) 825--842.

 

Dirac mass dynamics in multidimensional nonlocal parabolic equations     with A. Lorz, S. Mirrahimi. CPDE Vol. 36(6), 2011, 1071--1098.

 

Mathematical description of bacterial traveling pulses     with J. Saragosti, V. Calvez, N. Bournaveas  A. Buguin and P. Silberzan  (Plos Comp. Biology, 2010)

 

Flashing rachets  with P. E. Souganidis. NoDEA  vol. 18(1), 45--58 (2011).

 

Dynamics of a structured neuron population        with  K. Pakdaman and D. Salort. Nonlinearity 23 (2010) 55--75.

 

Survival threshold in adaptive evolution     with M. Gauduchon. Math. Med. Biol. 27 (2010), no. 3, 195–210.

Models of self-organizing bacterial communities...   see Mathematical Modelling of Natural Phenomena Vol. 5 No 1 (2010), 148—162.

See also  arXiv (mathematics) or   archives ouvertes HAL    and    talk