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Mathieu Desroches

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Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding

Jordi Penalva , Mathieu Desroches , Antonio Teruel , Catalina Vich
Journal of Nonlinear Science, 2024, 34 (3), pp.52. ⟨10.1007/s00332-024-10029-3⟩
Article dans une revue hal-04545904v1

Synchronization in STDP-driven memristive neural networks with time-varying topology

Marius Yamakou , Mathieu Desroches , Serafim Rodrigues
Journal of Biological Physics, 2023, ⟨10.1007/s10867-023-09642-2⟩
Article dans une revue hal-04205020v1
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From integrator to resonator neurons: A multiple-timescale scenario

Guillaume Girier , Mathieu Desroches , Serafim Rodrigues
Nonlinear Dynamics, 2023, ⟨10.1007/s11071-023-08687-1⟩
Article dans une revue hal-04108504v2
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Single-compartment model of a pyramidal neuron, fitted to recordings with current and conductance injection

Anton Chizhov , Dmitry Amakhin , A. Erdem Sagtekin , Mathieu Desroches
Biological Cybernetics (Modeling), 2023, ⟨10.1007/s00422-023-00976-7⟩
Article dans une revue hal-04333041v1
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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 of Mathematical Biology, 2023, 86 (6), pp.92. ⟨10.1007/s00285-023-01917-5⟩
Article dans une revue hal-04108905v1

Viruses - a major cause of amyloid deposition in the brain

Tamas Fulop , Charles Ramassamy , Simon Lévesque , Eric Frost , Benoit Laurent
Expert Review of Neurotherapeutics, 2023, 23 (9), pp.775-790. ⟨10.1080/14737175.2023.2244162⟩
Article dans une revue hal-04205607v1
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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 of Physics: Condensed Matter, 2022, 34 (35), pp.355102. ⟨10.1088/1361-648X/ac7b5d⟩
Article dans une revue hal-03805801v1

Immunosenescence and Altered Vaccine Efficiency in Older Subjects: A Myth Difficult to Change

Tamas Fulop , Anis Larbi , Graham Pawelec , Alan Cohen , Guillaume Provost
Vaccines, 2022, 10 (4), pp.607. ⟨10.3390/vaccines10040607⟩
Article dans une revue hal-03661402v1

Multiple-timescale dynamics, mixed mode oscillations and mixed affective states in a model of Bipolar Disorder

Efstathios Pavlidis , Fabien Campillo , Albert Goldbeter , Mathieu Desroches
Cognitive Neurodynamics, inPress, ⟨10.1007/s11571-022-09900-4⟩
Article dans une revue hal-03640331v1

Classification of bursting patterns: A tale of two ducks

Mathieu Desroches , John Rinzel , Serafim Rodrigues
PLoS Computational Biology, 2022, 18 (2), pp.e1009752. ⟨10.1371/journal.pcbi.1009752⟩
Article dans une revue hal-03589815v1

Bursting in a next generation neural mass model with synaptic dynamics: a slow-fast approach

Halgurd Taher , Mathieu Desroches , Daniele Avitabile
Nonlinear Dynamics, 2022, ⟨10.1007/s11071-022-07406-6⟩
Article dans une revue hal-03530186v1
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Cross-scale excitability in networks of quadratic integrate-and-fire neurons

Daniele Avitabile , Mathieu Desroches , G Bard Ermentrout
PLoS Computational Biology, 2022, 18 (10), pp.e1010569. ⟨10.1371/journal.pcbi.1010569⟩
Article dans une revue hal-03326530v1

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 of Alzheimer's Disease Reports, 2022, 6 (1), pp.599-606. ⟨10.3233/ADR-220061⟩
Article dans une revue hal-03805857v1

Geometry of spiking patterns in early visual cortex: a topological data analytic approach

Andrea Guidolin , Mathieu Desroches , Jonathan Victor , Keith Purpura , Serafim Rodrigues
Journal of the Royal Society Interface, 2022, 19 (196), ⟨10.1098/rsif.2022.0677⟩
Article dans une revue hal-03855921v1

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⟩
Article dans une revue hal-03881658v1

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⟩
Article dans une revue hal-03509307v1

Spike-adding and reset-induced canard cycles in adaptive integrate and fire models

Mathieu Desroches , Piotr Kowalczyk , Serafim Rodrigues
Nonlinear Dynamics, 2021, 104, pp.2451-2470. ⟨10.1007/s11071-021-06441-z⟩
Article dans une revue hal-03129713v1
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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
PLoS Computational Biology, 2021, 17 (7), pp.e1009239. ⟨10.1371/journal.pcbi.1009239⟩
Article dans une revue hal-03191275v2

Targeting Impaired Antimicrobial Immunity in the Brain for the Treatment of Alzheimer’s Disease

Tamas Fulop , Shreyansh Tripathi , Serafim Rodrigues , Mathieu Desroches , Ton Bunt
Neuropsychiatric Disease and Treatment, 2021, 17, pp.1311-1339. ⟨10.2147/NDT.S264910⟩
Article dans une revue 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
The Journal of clinical investigation, 2021, 131 (21), pp.e142203. ⟨10.1172/JCI142203⟩
Article dans une revue hal-03411366v1

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
Immunity and Ageing, 2021, 18 (1), pp.29. ⟨10.1186/s12979-021-00236-x⟩
Article dans une revue hal-03661341v1

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 of Nonlinear Science, 2020, 30 (6), pp.3265-3291. ⟨10.1007/s00332-020-09650-9⟩
Article dans une revue hal-02977302v1

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
Mechanisms of Ageing and Development, 2020, 192, pp.111390. ⟨10.1016/j.mad.2020.111390⟩
Article dans une revue hal-03661283v1

Excitable dynamics in neural and cardiac systems

Roberto Barrio , Stephen Coombes , Mathieu Desroches , Flavio Fenton , Stefan Luther
Communications in Nonlinear Science and Numerical Simulation, 2020, 86, pp.105275. ⟨10.1016/j.cnsns.2020.105275⟩
Article dans une revue hal-03695185v1

Local theory for spatio-temporal canards and delayed bifurcations

Daniele Avitabile , Mathieu Desroches , Romain Veltz , Martin Wechselberger
SIAM Journal on Mathematical Analysis, 2020, 52 (6), pp.5703-5747. ⟨10.1137/19M1306610⟩
Article dans une revue hal-02412921v1

Targeting Infectious Agents as a Therapeutic Strategy in Alzheimer’s Disease

Tamàs Fülöp , Usma Munawara , Anis Larbi , Mathieu Desroches , Serafim Rodrigues
CNS Drugs, 2020, 34 (7), pp.673-695. ⟨10.1007/s40263-020-00737-1⟩
Article dans une revue 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 of Mathematical Biology, 2020, 80 (7), pp.2075-2107. ⟨10.1007/s00285-020-01490-1⟩
Article dans une revue hal-01939157v2

Metastable Resting State Brain Dynamics

Peter Beim Graben , Antonio Jimenez-Marin , Ibai Diez , Jesus M. Cortes , Mathieu Desroches
Frontiers in Computational Neuroscience, 2019, 13, ⟨10.3389/fncom.2019.00062⟩
Article dans une revue hal-02300433v1

Conductance-Based Refractory Density Approach for a Population of Bursting Neurons

Anton Chizhov , Fabien Campillo , Mathieu Desroches , Anton Guillamon , Serafim Rodrigues
Bulletin of Mathematical Biology, 2019, ⟨10.1007/s11538-019-00643-8⟩
Article dans une revue hal-02189808v1
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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⟩
Article dans une revue hal-01960691v1
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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⟩
Article dans une revue hal-01911267v1
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Modeling cortical spreading depression induced by the hyperactivity of interneurons

Mathieu Desroches , Olivier Faugeras , Martin Krupa , Massimo Mantegazza
Journal of Computational Neuroscience, 2019, ⟨10.1007/s10827-019-00730-8⟩
Article dans une revue hal-01520200v1
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Spike-adding in a canonical three time scale model: superslow explosion & folded-saddle canards

Mathieu Desroches , Vivien Kirk
SIAM Journal on Applied Dynamical Systems, 2018, 17 (3), pp.1989-2017. ⟨10.1137/17M1143411⟩
Article dans une revue hal-01652020v1

Spatiotemporal canards in neural field equations

Daniele Avitabile , Mathieu Desroches , Edgar Knobloch
Physical Review E , 2017, 95 (4), pp.042205. ⟨10.1103/PhysRevE.95.042205⟩
Article dans une revue hal-01558887v1

A modular architecture for transparent computation in recurrent neural networks

Giovanni Carmantini , Peter Beim Graben , Mathieu Desroches , Serafim Rodrigues
Neural Networks, 2017, 85 (1), pp.85-105. ⟨10.1016/j.neunet.2016.09.001⟩
Article dans une revue hal-01386281v1
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Synchronization of weakly coupled canard oscillators

Elif Köksal Ersöz , Mathieu Desroches , Martin Krupa
Physica D: Nonlinear Phenomena, 2017, 349, pp.46-61. ⟨10.1016/j.physd.2017.02.016⟩
Article dans une revue hal-01558897v1

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⟩
Article dans une revue hal-01243304v1

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⟩
Article dans une revue hal-01386149v1

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⟩
Article dans une revue hal-01243302v1

Slow-fast transitions to seizure states in the Wendling-Chauvel neural mass model

Mathieu Desroches , Olivier Faugeras , Martin Krupa
Opera Medica et Physiologica, 2016
Article dans une revue hal-01404623v1

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 of Nonlinear Science, 2016, 26 (2), pp.405-451. ⟨10.1007/s00332-015-9279-0⟩
Article dans une revue hal-01242892v1

Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems

Mathieu Desroches , Antoni Guillamon , Enrique Ponce , Rafel Prohens , Serafim Rodrigues
SIAM Review, 2016, 58 (4), pp.653-691. ⟨10.1137/15M1014528⟩
Article dans une revue hal-01243289v1

Canard-Mediated (De)Synchronization in Coupled Phantom Bursters

Elif Köksal Ersöz , Mathieu Desroches , Maciej Krupa , Frédérique Clément
SIAM Journal on Applied Dynamical Systems, 2016, 15 (1), pp.580-608. ⟨10.1137/15M101840X⟩
Article dans une revue hal-01256389v1

Spike-adding mechanism in parabolic bursters: the role of folded-saddle canards

Mathieu Desroches , Martin Krupa , Serafim Rodrigues
Physica D: Nonlinear Phenomena, 2016, 331 (1), pp.58-70. ⟨10.1016/j.physd.2016.05.011⟩
Article dans une revue hal-01136874v1

Canard solutions in planar piecewise linear systems with three zones

Soledad Fernández-García , Mathieu Desroches , Martin Krupa , Antonio Teruel
Dynamical Systems, 2015, pp.25. ⟨10.1080/14689367.2015.1079304⟩
Article dans une revue hal-01244978v1

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
Article dans une revue hal-01253417v1

Extending the zero-derivative principle for slow–fast dynamical systems

Eric Benoît , Morten Brøns , Mathieu Desroches , Martin Krupa
Zeitschrift für Angewandte Mathematik und Physik, 2015, 66 (5), pp.2255-2270. ⟨10.1007/s00033-015-0552-8⟩
Article dans une revue 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⟩
Article dans une revue hal-01093445v2

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
Article dans une revue hal-00924098v1

A method for the reconstruction of unkwnown non-monotonic growth functions in the chemostat

Jan Sieber , Alain Rapaport , Serafim Rodrigues , Mathieu Desroches
Bioprocess and Biosystems Engineering, 2013, 36 (10), pp.1496-1507. ⟨10.1007/s00449-013-0912-8⟩
Article dans une revue hal-00860573v1

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⟩
Article dans une revue hal-00932344v1

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
Article dans une revue hal-00857699v1

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⟩
Article dans une revue hal-00844799v1

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
Article dans une revue hal-00936308v1

Numerical continuation techniques for planar slow-fast systems

Peter de Maesschalck , Mathieu Desroches
SIAM Journal on Applied Dynamical Systems, 2013, 12 (3), pp.1159-1180. ⟨10.1137/120877386⟩
Article dans une revue hal-00844785v1

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster

Daniele Linaro , Alan Champneys , Mathieu Desroches , Marco Storace
SIAM Journal on Applied Dynamical Systems, 2012, 11 (3), pp.939-962. ⟨10.1137/110848931⟩
Article dans une revue hal-00765189v1

Canards of mixed type in a neural burster

Mathieu Desroches , John Burke , Tasso J. Kaper , Mark A. Kramer
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85 (2), 6 p. ⟨10.1103/PhysRevE.85.021920⟩
Article dans une revue hal-00765223v1

On the numerical continuation of isolas of equilibria

Daniele Avitabile , Mathieu Desroches , Serafim Rodrigues
International journal of bifurcation and chaos in applied sciences and engineering , 2012, 22 (11), 12 p. ⟨10.1142/S021812741250277X⟩
Article dans une revue hal-00765172v1

Inflection, canards and excitability threshold in neuronal models

Mathieu Desroches , Maciej Krupa , Serafim Rodrigues
Journal of Mathematical Biology, 2012, ⟨10.1007/s00285-012-0576-z⟩
Article dans une revue hal-00765148v1

A showcase of torus canards in neuronal bursters

John Burke , Mathieu Desroches , Anna M. Barry , Tasso J. Kaper , Mark A. Kramer
Journal of Mathematical Neuroscience, 2012, 2 (3), ⟨10.1186/2190-8567-2-3⟩
Article dans une revue hal-00765229v1

Mixed-Mode Oscillations with Multiple Time Scales

Mathieu Desroches , John Guckenheimer , Bernd Krauskopf , Christian Kuehn , Hinke M. Osinga
SIAM Review, 2012, 54 (2), pp.211-288. ⟨10.1137/100791233⟩
Article dans une revue hal-00765216v1
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Mixed-mode oscillations in a multiple time scale phantom bursting system

Maciej Krupa , Alexandre Vidal , Mathieu Desroches , Frédérique Clément
SIAM Journal on Applied Dynamical Systems, 2012, 11 (4), pp. 1458-1498. ⟨10.1137/110860136⟩
Article dans une revue hal-00669486v1

Mixed-Mode Bursting Oscillations (MMBOs): slow passage through spike-adding canard explosion.

Mathieu Desroches
Multi-Scale Models, Slow-Fast Differential Equations, Averaging in Ecology and Neuroscience, Nov 2014, Bernoulli Centre, EPFL, Lausanne, Switzerland
Communication dans un congrès hal-01091242v1

Canards in 3D piecewise-linear slow-fast systems, application to neuron models.

Mathieu Desroches
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jul 2014, Madrid, Spain
Communication dans un congrès hal-01091239v1
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Extremum seeking via continuation techniques for optimizing biogas production in the chemostat

Alain Rapaport , Jan Sieber , Serafim Rodrigues , Mathieu Desroches
9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Sep 2013, Toulouse, France. pp.152-157, ⟨10.3182/20130904-3-FR-2041.00053⟩
Communication dans un congrès hal-00787510v2

Inflection lines near canards in 2D and 3D systems

Mathieu Desroches
Workshop on Slow-Fast Dynamics: Theory, Numerics and Application to Earth and Life Sciences, Jun 2013, Barcelona, Spain
Communication dans un congrès hal-00854374v1

Inflection methods for singular perturbation problems

Mathieu Desroches
SIAM Conference on Applications of Dynamical Systems, May 2013, Snowbird, United States
Communication dans un congrès hal-00854373v1

Canards, inflection and excitability threshold

Mathieu Desroches
9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Jul 2012, Orlando, United States
Communication dans un congrès hal-00854372v1

A new method for the reconstruction of unknown non-monotonic growth function in the chemostat

Jan Sieber , Alain Rapaport , Serafim Rodrigues , Mathieu Desroches
20th IEEE Mediterranean Conference on Control and Automation (MED '12), Jul 2012, Barcelona, Spain. pp.169 - 175, ⟨10.1109/MED.2012.6265633⟩
Communication dans un congrès hal-02748259v1