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Idealized multiple-timescale model of cortical spreading depolarization initiation and pre-epileptic hyperexcitability caused by NaV1.1/SCN1A mutations
Louisiane Lemaire
,
Mathieu Desroches
,
Martin Krupa
,
Massimo Mantegazza
Journal articles
hal-04108905v1
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Viruses - a major cause of amyloid deposition in the brain
Tamas Fulop
,
Charles Ramassamy
,
Simon Lévesque
,
Eric Frost
,
Benoit Laurent
Journal articles
hal-04205607v1
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From integrator to resonator neurons: A multiple-timescale scenario
Guillaume Girier
,
Mathieu Desroches
,
Serafim Rodrigues
Journal articles
hal-04108504v2
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Synchronization in STDP-driven memristive neural networks with time-varying topology
Marius Yamakou
,
Mathieu Desroches
,
Serafim Rodrigues
Journal articles
hal-04205020v1
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A phenomenological model for interfacial water near hydrophilic polymers
A Earls
,
M-C Calderer
,
Mathieu Desroches
,
A Zarnescu
,
S Rodrigues
Journal articles
hal-03805801v1
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Geometry of spiking patterns in early visual cortex: a topological data analytic approach
Andrea Guidolin
,
Mathieu Desroches
,
Jonathan Victor
,
Keith Purpura
,
Serafim Rodrigues
Journal articles
hal-03855921v1
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Cross-scale excitability in networks of quadratic integrate-and-fire neurons
Daniele Avitabile
,
Mathieu Desroches
,
G Bard Ermentrout
Journal articles
hal-03326530v1
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Interaction Mechanism Between the HSV-1 Glycoprotein B and the Antimicrobial Peptide Amyloid-β
Karine Bourgade
,
Eric Frost
,
Gilles Dupuis
,
Jacek Witkowski
,
Benoit Laurent
Journal articles
hal-03805857v1
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Bursting in a next generation neural mass model with synaptic dynamics: a slow-fast approach
Halgurd Taher
,
Mathieu Desroches
,
Daniele Avitabile
Journal articles
hal-03530186v1
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Classification of bursting patterns: A tale of two ducks
Mathieu Desroches
,
John Rinzel
,
Serafim Rodrigues
Journal articles
hal-03589815v1
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Immunosenescence and Altered Vaccine Efficiency in Older Subjects: A Myth Difficult to Change
Tamas Fulop
,
Anis Larbi
,
Graham Pawelec
,
Alan Cohen
,
Guillaume Provost
Journal articles
hal-03661402v1
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Multiple-timescale dynamics, mixed mode oscillations and mixed affective states in a model of Bipolar Disorder
Efstathios Pavlidis
,
Fabien Campillo
,
Albert Goldbeter
,
Mathieu Desroches
Journal articles
hal-03640331v1
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Slow passage through a Hopf-like bifurcation in piecewise linear systems: Application to elliptic bursting
Jordi Penalva
,
Mathieu Desroches
,
Antonio E. Teruel
,
Catalina Vich
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32 (12), pp.123109. ⟨10.1063/5.0101778⟩
Journal articles
hal-03881658v1
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Modeling NaV1.1/SCN1A sodium channel mutations in a microcircuit with realistic ion concentration dynamics suggests differential GABAergic mechanisms leading to hyperexcitability in epilepsy and hemiplegic migraine
Louisiane Lemaire
,
Mathieu Desroches
,
Martin Krupa
,
Lara Pizzamiglio
,
Paolo Scalmani
Journal articles
hal-03191275v2
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Targeting Impaired Antimicrobial Immunity in the Brain for the Treatment of Alzheimer’s Disease
Tamas Fulop
,
Shreyansh Tripathi
,
Serafim Rodrigues
,
Mathieu Desroches
,
Ton Bunt
Journal articles
hal-03661431v1
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Initiation of migraine-related cortical spreading depolarization by hyperactivity of GABAergic neurons and NaV1.1 channels
Oana Chever
,
Sarah Zerimech
,
Paolo Scalmani
,
Louisiane Lemaire
,
Lara Pizzamiglio
Journal articles
hal-03411366v1
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Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
Mathieu Desroches
,
Piotr Kowalczyk
,
Serafim Rodrigues
Journal articles
hal-03129713v1
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Hyperactivation of monocytes and macrophages in MCI patients contributes to the progression of Alzheimer's disease
Usma Munawara
,
Michael Catanzaro
,
Weili Xu
,
Crystal Tan
,
Katsuiku Hirokawa
Journal articles
hal-03661341v1
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Canonical models for torus canards in elliptic bursters
Emre Baspinar
,
Daniele Avitabile
,
Mathieu Desroches
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021, 31 (6), pp.063129. ⟨10.1063/5.0037204⟩
Journal articles
hal-03509307v1
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Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model
Jone Uria Albizuri
,
Mathieu Desroches
,
Martin Krupa
,
Serafim Rodrigues
Journal articles
hal-02977302v1
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Why we should use topological data analysis in ageing: Towards defining the “topological shape of ageing”
Tamàs Fülöp
,
Mathieu Desroches
,
Fernando Antônio Nóbrega Santos
,
Serafim Rodrigues
,
Alan A. Cohen
Journal articles
hal-03661283v1
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Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile
,
Mathieu Desroches
,
Romain Veltz
,
Martin Wechselberger
Journal articles
hal-02412921v1
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Targeting Infectious Agents as a Therapeutic Strategy in Alzheimer’s Disease
Tamàs Fülöp
,
Usma Munawara
,
Anis Larbi
,
Mathieu Desroches
,
Serafim Rodrigues
Journal articles
hal-03661367v1
|
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Canard-induced complex oscillations in an excitatory network
Elif Köksal Ersöz
,
Mathieu Desroches
,
Antoni Guillamon
,
John Rinzel
,
Joel Tabak
Journal articles
hal-01939157v2
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Excitable dynamics in neural and cardiac systems
Roberto Barrio
,
Stephen Coombes
,
Mathieu Desroches
,
Flavio Fenton
,
Stefan Luther
Journal articles
hal-03695185v1
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Metastable Resting State Brain Dynamics
Peter Beim Graben
,
Antonio Jimenez-Marin
,
Ibai Diez
,
Jesus M. Cortes
,
Mathieu Desroches
Journal articles
hal-02300433v1
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Parabolic bursting, spike-adding, dips and slices in a minimal model
Mathieu Desroches
,
Jean-Pierre Françoise
,
Martin Krupa
Mathematical Modelling of Natural Phenomena, 2019, Mathematical Modelling of Natural Phenomena (MMNP), 14, ⟨10.1051/mmnp/2019018⟩
Journal articles
hal-01911267v1
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Anticipation via canards in excitable systems
Elif Köksal Ersöz
,
Mathieu Desroches
,
Claudio R. Mirasso
,
Serafim Rodrigues
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019, 29 (1), pp.013111. ⟨10.1063/1.5050018⟩
Journal articles
hal-01960691v1
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Modeling cortical spreading depression induced by the hyperactivity of interneurons
Mathieu Desroches
,
Olivier Faugeras
,
Martin Krupa
,
Massimo Mantegazza
Journal articles
hal-01520200v1
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Conductance-Based Refractory Density Approach for a Population of Bursting Neurons
Anton Chizhov
,
Fabien Campillo
,
Mathieu Desroches
,
Anton Guillamon
,
Serafim Rodrigues
Journal articles
hal-02189808v1
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Spike-adding in a canonical three time scale model: superslow explosion & folded-saddle canards
Mathieu Desroches
,
Vivien Kirk
Journal articles
hal-01652020v1
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Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system
Daniele Avitabile
,
Mathieu Desroches
,
Edgar Knobloch
,
Martin Krupa
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2017, 473 (2207), pp.20170018. ⟨10.1098/rspa.2017.0018⟩
Journal articles
hal-01243304v1
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Synchronization of weakly coupled canard oscillators
Elif Köksal Ersöz
,
Mathieu Desroches
,
Martin Krupa
Journal articles
hal-01558897v1
|
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Spatiotemporal canards in neural field equations
Daniele Avitabile
,
Mathieu Desroches
,
Edgar Knobloch
Journal articles
hal-01558887v1
|
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A modular architecture for transparent computation in recurrent neural networks
Giovanni Carmantini
,
Peter Beim Graben
,
Mathieu Desroches
,
Serafim Rodrigues
Journal articles
hal-01386281v1
|
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Slow-fast transitions to seizure states in the Wendling-Chauvel neural mass model
Mathieu Desroches
,
Olivier Faugeras
,
Martin Krupa
Opera Medica et Physiologica, 2016
Journal articles
hal-01404623v1
|
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Canards and spike-adding transitions in a minimal piecewise-linear Hindmarsh-Rose square-wave burster
Mathieu Desroches
,
Soledad Fernández-García
,
Martin Krupa
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016, 26 (7), pp.073111. ⟨10.1063/1.4958297⟩
Journal articles
hal-01243302v1
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From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
John Burke
,
Mathieu Desroches
,
Albert Granados
,
Tasso J. Kaper
,
Martin Krupa
Journal articles
hal-01242892v1
|
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Spike-adding mechanism in parabolic bursters: the role of folded-saddle canards
Mathieu Desroches
,
Martin Krupa
,
Serafim Rodrigues
Journal articles
hal-01136874v1
|
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Canard-Mediated (De)Synchronization in Coupled Phantom Bursters
Elif Köksal Ersöz
,
Mathieu Desroches
,
Maciej Krupa
,
Frédérique Clément
Journal articles
hal-01256389v1
|
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Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems
Mathieu Desroches
,
Antoni Guillamon
,
Enrique Ponce
,
Rafel Prohens
,
Serafim Rodrigues
Journal articles
hal-01243289v1
|
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Time-coded neurotransmitter release at excitatory and inhibitory synapses
Serafim Rodrigues
,
Mathieu Desroches
,
Martin Krupa
,
Jesus M. Cortes
,
Terrence J. Sejnowski
Proceedings of the National Academy of Sciences of the United States of America, 2016, 113 (8), pp.E1108-E1115. ⟨10.1073/pnas.1525591113⟩
Journal articles
hal-01386149v1
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Extending the zero-derivative principle for slow–fast dynamical systems
Eric Benoît
,
Morten Brøns
,
Mathieu Desroches
,
Martin Krupa
Journal articles
hal-01243307v1
|
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Canard-induced loss of stability across a homoclinic bifurcation
Mathieu Desroches
,
Jean-Pierre Françoise
,
Lucile Mégret
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît, pp.47-62. ⟨10.46298/arima.1989⟩
Journal articles
hal-01093445v2
|
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Noise-induced canard and mixed-mode oscillations in large stochastic networks with multiple timescales
Jonathan Touboul
,
Maciej Krupa
,
Mathieu Desroches
SIAM Journal on Applied Mathematics, 2015, 75 (5), pp.26
Journal articles
hal-01253417v1
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Canard solutions in planar piecewise linear systems with three zones
Soledad Fernández-García
,
Mathieu Desroches
,
Martin Krupa
,
Antonio Teruel
Journal articles
hal-01244978v1
|
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Mixed-mode oscillations due to a singular Hopf bifurcation in a forest pest model
Morten Brøns
,
Mathieu Desroches
,
Maciej Krupa
Mathematical Population Studies, 2014, pp.1-22
Journal articles
hal-00924098v1
|
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Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics
Jesus M Cortes
,
Mathieu Desroches
,
Serafim Rodrigues
,
Romain Veltz
,
Miguel A Munoz
Proceedings of the National Academy of Sciences of the United States of America, 2013, 110 (41), pp.16610-16615
Journal articles
hal-00936308v1
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Numerical continuation techniques for planar slow-fast systems
Peter de Maesschalck
,
Mathieu Desroches
Journal articles
hal-00844785v1
|
|
Canards in piecewise-linear systems: explosions and super-explosions
Mathieu Desroches
,
Emilio Freire
,
John S.J. Hogan
,
Enrique Ponce
,
Phanikhrisna Thota
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013, 469 (2154), pp.20120603. ⟨10.1098/rspa.2012.0603⟩
Journal articles
hal-00844799v1
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Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics
Jesus M. Cortes
,
Mathieu Desroches
,
Serafim Rodrigues
,
Romain Veltz
,
Miguel A. Muñoz
Proceedings of the National Academy of Sciences of the United States of America, 2013
Journal articles
hal-00857699v1
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Mixed-Mode Bursting Oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
Mathieu Desroches
,
Tasso J. Kaper
,
Maciej Krupa
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23 (4), pp.046106. ⟨10.1063/1.4827026⟩
Journal articles
hal-00932344v1
|
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A method for the reconstruction of unkwnown non-monotonic growth functions in the chemostat
Jan Sieber
,
Alain Rapaport
,
Serafim Rodrigues
,
Mathieu Desroches
Journal articles
hal-00860573v1
|
|
On the numerical continuation of isolas of equilibria
Daniele Avitabile
,
Mathieu Desroches
,
Serafim Rodrigues
Journal articles
hal-00765172v1
|
|
Inflection, canards and excitability threshold in neuronal models
Mathieu Desroches
,
Maciej Krupa
,
Serafim Rodrigues
Journal articles
hal-00765148v1
|
|
A showcase of torus canards in neuronal bursters
John Burke
,
Mathieu Desroches
,
Anna M. Barry
,
Tasso J. Kaper
,
Mark A. Kramer
Journal articles
hal-00765229v1
|
|
Mixed-Mode Oscillations with Multiple Time Scales
Mathieu Desroches
,
John Guckenheimer
,
Bernd Krauskopf
,
Christian Kuehn
,
Hinke M. Osinga
Journal articles
hal-00765216v1
|
|
Canards of mixed type in a neural burster
Mathieu Desroches
,
John Burke
,
Tasso J. Kaper
,
Mark A. Kramer
Journal articles
hal-00765223v1
|
|
Mixed-mode oscillations in a multiple time scale phantom bursting system
Maciej Krupa
,
Alexandre Vidal
,
Mathieu Desroches
,
Frédérique Clément
Journal articles
hal-00669486v1
|
|
Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster
Daniele Linaro
,
Alan Champneys
,
Mathieu Desroches
,
Marco Storace
Journal articles
hal-00765189v1
|