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Works (29)

Sequence of pseudoequilibria describes the long-time behavior of the nonlinear noisy leaky integrate-and-fire model with large delay

Physical Review E
2024-12-06 | Journal article
Contributors: María J. Cáceres; José A. Cañizo; Alejandro Ramos-Lora
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Crossref

An elapsed time model for strongly coupled inhibitory and excitatory neural networks

Physica D: Nonlinear Phenomena
2021-11 | Journal article
Part of ISSN: 0167-2789
Contributors: Nicolas Torres Escorza; María J. Cáceres; Benoît Perthame; Delphine Salort
Source: Self-asserted source
María Cáceres

An Understanding of the Physical Solutions and the Blow-Up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

Communications in Computational Physics
2021-06 | Journal article
Part of ISSN: 1815-2406
Part of ISSN: 1991-7120
Contributors: María Cáceres; Alejandro Ramos-Lora
Source: Self-asserted source
María Cáceres

A review about nonlinear noisy leaky integrate and fire models for neural networks

Rivista di Matematica della Universita di Parma
2019 | Journal article
EID:

2-s2.0-85078053215

Part of ISBN:

22842578 00356298

Contributors: Cáceres, M.J.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier

Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay

Communications in Partial Differential Equations
2019 | Journal article
EID:

2-s2.0-85071999059

Part of ISBN:

15324133 03605302

Contributors: Cáceres, M.J.; Roux, P.; Salort, D.; Schneider, R.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier

Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods

ESAIM: Mathematical Modelling and Numerical Analysis
2018-09 | Journal article
Contributors: María J. Cáceres; Ricarda Schneider
Source: check_circle
Crossref
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BLOW-UP, STEADY STATES AND LONG TIME BEHAVIOUR OF EXCITATORY-INHIBITORY NONLINEAR NEURON MODELS

Kinetic and Related Models
2017 | Journal article
WOSUID:

WOS:000393456400004

Contributors: Caceres, Maria J.; Schneider, Ricarda
Source: Self-asserted source
María Cáceres via ResearcherID
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Close-to-equilibrium behaviour of quadratic reaction--diffusion systems with detailed balance

Nonlinear Analysis
2017 | Journal article
Contributors: Cáceres, María J. and Cañizo, José A.
Source: Self-asserted source
María Cáceres via ResearcherID
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A BGK relaxation model for polyatomic gas mixtures

Communications in Mathematical Sciences
2016 | Journal article
EID:

2-s2.0-84959307971

Part of ISBN:

19450796 15396746

Contributors: Bisi, M.; Cáceres, M.J.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier

A BGK RELAXATION MODEL FOR POLYATOMIC GAS MIXTURES

Communications in Mathematical Sciences
2016 | Journal article
WOSUID:

WOS:000368314700001

Contributors: Bisi, Marzia; Caceres, Maria Jose
Source: Self-asserted source
María Cáceres via ResearcherID

Microscopic approach of a time elapsed neural model

Mathematical Models & Methods in Applied Sciences
2015 | Journal article
WOSUID:

WOS:000363087800003

Contributors: Chevallier, Julien; Caceres, Maria Jose; Doumic, Marie; Reynaud-Bouret, Patricia
Source: Self-asserted source
María Cáceres via ResearcherID
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A parallel deterministic solver for the Schrödinger-Poisson-Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo

2014 | Journal article
DOI:

10.1016/j.camwa.2014.02.021

EID:

2-s2.0-84899655766

Contributors: Vecil, F.; Mantas, J.M.; Cáceres, M.J.; Sampedro, C.; Godoy, A.; Gámiz, F.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity

2014 | Journal article
DOI:

10.1016/j.jtbi.2014.02.005

EID:

2-s2.0-84896763570

Contributors: Cáceres, M.J.; Perthame, B.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics

2011 | Journal article
DOI:

10.1016/j.jcp.2010.10.027

EID:

2-s2.0-78650564252

Contributors: Cáceres, M.J.; Carrillo, J.A.; Tao, L.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states

The Journal of Mathematical Neuroscience
2011 | Journal article
Source: Self-asserted source
María Cáceres via ResearcherID

Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations

2011 | Journal article
DOI:

10.1016/j.matpur.2011.01.003

EID:

2-s2.0-80052611963

Contributors: Cáceres, M.J.; Cañizo, J.A.; Mischler, S.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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A Bhatnagar-Gross-Krook kinetic approach to fast reactive mixtures: Relaxation problems

2010 | Journal article
DOI:

10.1016/j.physa.2010.07.022

EID:

2-s2.0-77956181139

Contributors: Bisi, M.; Cáceres, M.J.; Spiga, G.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Rate of convergence to self-similarity for the fragmentation equation in L1 spaces

Communications in Applied and Industrial Mathematics
2010 | Journal article
SOURCE-WORK-ID:

0705171747863-7

Source: Self-asserted source
María Cáceres via ResearcherID

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs

2009 | Journal article
DOI:

10.1016/j.jcp.2009.06.001

EID:

2-s2.0-67650117735

Contributors: Ben Abdallah, N.; Cáceres, M.J.; Carrillo, J.A.; Vecil, F.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Efficient deterministic parallel simulation of 2D semiconductor devices based on WENO-Boltzmann schemes

2009 | Journal article
DOI:

10.1016/j.cma.2008.10.003

EID:

2-s2.0-58149157902

Contributors: Mantas, J.M.; Cáceres, M.J.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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The BGK model with external confining potential: Existence, long-time behaviour and time-periodic Maxwellian equilibria

2009 | Journal article
DOI:

10.1007/s10955-009-9782-5

EID:

2-s2.0-70349316739

Contributors: Bosi, R.; Cáceres, M.J.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Deterministic kinetic solvers for charged particle transport in semiconductor devices

Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems
2007 | Journal article
WOSUID:

WOS:000275105500008

Contributors: Caceres, M. J.; Carrillo, J. A.; Gamba, I. M.; Majorana, A.; Shu, C. W.
Source: Self-asserted source
María Cáceres via ResearcherID
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Kinetic approach to long time behavior of linearized fast diffusion equations

2007 | Journal article
DOI:

10.1007/s10955-007-9329-6

EID:

2-s2.0-36148942468

Contributors: Cáceres, M.J.; Toscani, G.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Deterministic simulation of the Boltzmann-Poisson system in GaAs-based semiconductors

2006 | Journal article
DOI:

10.1137/040607526

EID:

2-s2.0-33751202721

Contributors: Cáceres, M.J.; Carrillo, J.A.; Majorana, A.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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DSMC versus WENO-BTE: A double gate MOSFET example

2006 | Journal article
DOI:

10.1007/s10825-006-0035-4

EID:

2-s2.0-34248660800

Contributors: Cáceres, M.J.; Carrillo, J.A.; Gamba, I.; Majorana, A.; Shu, C.-W.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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Long-time behavior for a nonlinear fourth-order parabolic equation

Transactions of the American Mathematical Society
2005 | Journal article
WOSUID:

WOS:000226068700013

Contributors: Caceres, M. J.; Carrillo, J. A.; Toscani, G.
Source: Self-asserted source
María Cáceres via ResearcherID
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Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles

Communications in Partial Differential Equations
2003 | Journal article
WOSUID:

WOS:000184168200003

Contributors: Caceres, M. J.; Carrillo, J. A.; Goudon, T.
Source: Self-asserted source
María Cáceres via ResearcherID
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Nonlinear stability in L<sup>p</sup> for a confined system of charged particles

SIAM Journal on Mathematical Analysis
2003 | Journal article
EID:

2-s2.0-0037243989

Contributors: Cáceres, M.J.; Carrillo, J.A.; Dolbeault, J.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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The Child-Langmuir limit for semiconductors: A numerical validation

2002 | Journal article
DOI:

10.1051/m2an:2003011

EID:

2-s2.0-0036880191

Contributors: Cáceres, M.-J.; Carrillo, J.-A.; Degond, P.
Source: Self-asserted source
María Cáceres via Scopus - Elsevier
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