Perthame, Benoît - Search Results - UAB Digital Repository of Documents

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Research literature, 2 records found

Research literature	2 records found

24 p, 512.6 KB

Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states / Cáceres, María J. (Universidad de Granada. Departamento de Matemática Aplicada) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Perthame, Benoît (Laboratoire Jacques-Louis Lions (París, França)) ; Centre de Recerca Matemàtica
Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the main parameters in the model being the connectivity of the network and the noise. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 970)

22 p, 1.0 MB

Mathematical description of bacterial traveling pulses / Bournaveas, Nikolaos ; Buguin, Axel ; Calvez, Vincent ; Perthame, Benoît ; Saragosti, Jonathan ; Silberzan, Pascal ; Centre de Recerca Matemàtica
The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on E. coli have shown precise structure of traveling pulses. We present here an alternative mathematical description of traveling pulses at a macroscopic scale. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 939)

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