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Cover Image for The geometry of rest-spike bistability. View Article
The geometry of rest-spike bistability.
Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Nov 13, 2020
Morris-Lecar model is arguably the simplest dynamical model that retains both the slow-fast geometry of excitable phase portraits and the physiological interpretation of a conductance-based model. We augment this model with one...
Neuronal models Rest–spike bistability Slow–fast models
Cover Image for Cellular switches orchestrate rhythmic circuits. View Article
Cellular switches orchestrate rhythmic circuits.
Guillaume Drion, Alessio Franci, Rodolphe Sepulchre
Nov 16, 2018
Small inhibitory neuronal circuits have long been identified as key neuronal motifs to generate and modulate the coexisting rhythms of various motor functions. Our paper highlights the role of a cellular switching mechanism to...
Central pattern generators mathematical modeling neuromodulation Action Potentials Animals Brachyura Computer Simulation Models Neurological Nerve Net Neurons Nonlinear dynamics Periodicity
Cover Image for The geometry of rest–spike bistability View Article
The geometry of rest–spike bistability
Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Sep 04, 2020
Research Rest–spike bistability Neuronal models Slow–fast models
Cover Image for Balanced truncation for model reduction of biological oscillators. View Article
Balanced truncation for model reduction of biological oscillators.
Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
Oct 04, 2021
Model reduction is a central problem in mathematical biology. Reduced order models enable modeling of a biological system at different levels of complexity and the quantitative analysis of its properties, like sensitivity to...
Balanced truncation Biological oscillators Dominance theory model reduction Biological Clocks Models Biological
Cover Image for Balanced truncation for model reduction of biological oscillators View Article
Balanced truncation for model reduction of biological oscillators
Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
Aug 26, 2021
Abstract: Model reduction is a central problem in mathematical biology. Reduced order models enable modeling of a biological system at different levels of complexity and the quantitative analysis of its properties, like...
Original Article model reduction Balanced truncation Dominance theory Biological oscillators
Cover Image for Robust and tunable bursting requires slow positive feedback. View Article
Robust and tunable bursting requires slow positive feedback.
Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
Jun 21, 2018
bursting Feedback modeling neuromodulation Action Potentials Animals Computer Simulation Feedback Physiological Humans Models Neurological Neurons
Cover Image for Robust modulation of integrate-and-fire models View Article
Robust modulation of integrate-and-fire models
Tomas Van Pottelbergh, Guillaume Drion, Rodolphe Sepulchre
Jan 15, 2018
By controlling the state of neuronal populations, neuromodulators ultimately affect behaviour. A key neuromodulation mechanism is the alteration of neu- ronal excitability via the modulation of ion channel expression. This type...
modulation integrate-and-fire models single neuron dynamics
Cover Image for The geometry of rest–spike bistability View Article
The geometry of rest–spike bistability
Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Sep 08, 2021
Research Rest–spike bistability Neuronal models Slow–fast models
Cover Image for Switchable slow cellular conductances determine robustness and tunability of network states. View Article
Switchable slow cellular conductances determine robustness and tunability of network states.
Guillaume Drion, Julie Dethier, Alessio Franci, Rodolphe Sepulchre
Oct 10, 2018
Neuronal information processing is regulated by fast and localized fluctuations of brain states. Brain states reliably switch between distinct spatiotemporal signatures at a network scale even though they are composed of...
Action Potentials Animals Brain Calcium Channels T-Type Computational Biology Computer Simulation Electrophysiological Phenomena Humans Kinetics Models Neurological Nerve Net Neural Networks Computer Neuronal Plasticity Neurons
Cover Image for How modeling can reconcile apparently discrepant experimental results View Article
How modeling can reconcile apparently discrepant experimental results
Guillaume Drion, Laurent Massotte, Rodolphe Sepulchre, Vincent Seutin
Sep 05, 2018
Midbrain dopaminergic neurons are endowed with endogenous slow pacemaking properties. In recent years, many different groups have studied the basis for this phenomenon, often with conflicting conclusions. In particular, the role...
Action Potentials Analysis of Variance Animals Calcium Channels Computational Biology Dopamine Dopamine Agents Male Mesencephalon Models Biological Neurons Rats Rats Wistar Sodium Channels
Cover Image for M-type channels selectively control bursting in rat dopaminergic neurons. View Article
M-type channels selectively control bursting in rat dopaminergic neurons.
Guillaume Drion, Maxime Bonjean, Olivier Waroux, Jacqueline Scuvée-Moreau, Jean-Françis Liégeois, Terrence J Sejnowski, Rodolphe Sepulchre, Vincent Seutin
May 08, 2019
Action Potentials Animals Computer Simulation Dopamine KCNQ Potassium Channels Male Mesencephalon Models Neurological Neurons Organ Culture Techniques Rats Rats Wistar
Cover Image for Analysis and design of nonlinear resonances via singularity theory View Article
Analysis and design of nonlinear resonances via singularity theory
GI Cirillo, G Habib, G Kerschen, R Sepulchre
Mar 16, 2017
nonlinear frequency response detached resonance curve singularity theory
Cover Image for A three-scale model of spatio-temporal bursting View Article
A three-scale model of spatio-temporal bursting
A Franci, R Sepulchre
Oct 19, 2018
spatio-temporal bursting reaction dffusion singularity theory geometric singular perturbation theory
Cover Image for A spectral characterization of nonlinear normal modes View Article
A spectral characterization of nonlinear normal modes
GI Cirillo, A Mauroy, L Renson, G Kerschen, R Sepulchre
Jun 13, 2016
Nonlinear normal modes Koopman operator Spectral Characterization Invariant manifolds Parametrization
Cover Image for AR Identification of Latent-Variable Graphical Models View Article
AR Identification of Latent-Variable Graphical Models
M Zorzi, R Sepulchre
Dec 02, 2016
The paper proposes an identification procedure for autoregressive Gaussian stationary stochastic processes under the assumption that the manifest (or observed) variables are nearly independent when conditioned on a limited...
convex optimization convex relaxation latent-variable graphical models system identification
Cover Image for Differentially Positive Systems View Article
Differentially Positive Systems
F Forni, R Sepulchre
Oct 01, 2015
Convergence differentially positive systems
Cover Image for Riemannian preconditioning View Article
Riemannian preconditioning
B Mishra, R Sepulchre
Mar 23, 2016
Riemannian optimization sequential quadratic programming metric tuning quotient manifold Grassmann low rank generalized eigenvalue problem Lyapunov equation
Cover Image for Control Across Scales by Positive and Negative Feedback View Article
Control Across Scales by Positive and Negative Feedback
R Sepulchre, G Drion, A Franci
May 29, 2020
Feedback is a key element of regulation, as it shapes the sensitivity of a process to its environment. Positive feedback upregulates, and negative feedback downregulates. Many regulatory processes involve a mixture of...
feedback control excitability ultrasensitivity positive and negative feedback neuronal networks multiscale control
Cover Image for A heteroleptic diradical Cr(iii) complex with extended spin delocalization and large intramolecular magnetic exchange View Article
A heteroleptic diradical Cr(iii) complex with extended spin delocalization and large intramolecular magnetic exchange
Xiaozhou Ma, Elizaveta A. Suturina, Mathieu Rouzières, Fabrice Wilhelm, Andrei Rogalev, Rodolphe Clérac, Pierre Dechambenoit
May 04, 2020

Successive chemical reductions of the heteroleptic complex [(tpy)Cr III(tphz)] 3+(tpy = terpyridine; tphz = tetrapyridophenazine) give rise to the mono- and di-radical redox isomers, [(tpy)Cr...

Cover Image for Reductive Elimination at Carbon under Steric Control View Article
Reductive Elimination at Carbon under Steric Control
Daniel Tolentino, Samuel Neale, Connie Isaac, Stuart MacGregor, Michael Whittlesey, Rodolphe Jazzar, Guy Bertrand
Jun 26, 2019

It has been previously demonstrated that stable singlet electrophilic carbenes can behave as metal surrogates in the activation of strong E-H bonds (E = H, B, N, Si, P), but it was believed that these activations only proceed...

Cover Image for Using Redox-Active πbridging Ligand as a Control Switch of Intramolecular Magnetic Interactions View Article
Using Redox-Active πbridging Ligand as a Control Switch of Intramolecular Magnetic Interactions
Xiaozhou Ma, Elizaveta A. Suturina, Mathieu Rouzières, Mikhail Platunov, Fabrice Wilhelm, Andrei Rogalev, Rodolphe Clérac, Pierre Dechambenoit
May 15, 2019

Intramolecular magnetic interactions in the dinuclear complexes [(tpy)Ni(tphz)Ni(tpy)]n+ (n = 4, 3, and 2; tpy, terpyridine; tphz, tetrapyridophenazine) were tailored by changing the oxidation state of the...

Cover Image for Reductive Elimination at Carbon under Steric Control View Article
Reductive Elimination at Carbon under Steric Control
Daniel Tolentino, Samuel Neale, Connie Isaac, Stuart MacGregor, Michael Whittlesey, Rodolphe Jazzar, Guy Bertrand
Jun 26, 2019

It has been previously demonstrated that stable singlet electrophilic carbenes can behave as metal surrogates in the activation of strong E-H bonds (E = H, B, N, Si, P), but it was believed that these activations only proceed...

Cover Image for Macrophages control the retention and trafficking of B lymphocytes in the splenic marginal zone View Article
Macrophages control the retention and trafficking of B lymphocytes in the splenic marginal zone
Mikael Karlsson, Rodolphe Renè Guinamard, Silvia M. Bolland
Jan 01, 0001
The marginal zone of the spleen is a precisely ordered region that contains specialized subsets of B lymphocytes and macrophages. Disruption of the negative signaling inositol phosphatase, SH2-containing inositol-5-phosphatase 1...
MARCO receptor macrophage Staphylococcus aureus Spleen
Published by: Rockefeller University
Cover Image for Using Redox-Active πbridging Ligand as a Control Switch of Intramolecular Magnetic Interactions View Article
Using Redox-Active πbridging Ligand as a Control Switch of Intramolecular Magnetic Interactions
Xiaozhou Ma, Elizaveta A. Suturina, Mathieu Rouzières, Mikhail Platunov, Fabrice Wilhelm, Andrei Rogalev, Rodolphe Clérac, Pierre Dechambenoit
May 15, 2019

Intramolecular magnetic interactions in the dinuclear complexes [(tpy)Ni(tphz)Ni(tpy)]n+ (n = 4, 3, and 2; tpy, terpyridine; tphz, tetrapyridophenazine) were tailored by changing the oxidation state of the...

Cover Image for A heteroleptic diradical Cr(iii) complex with extended spin delocalization and large intramolecular magnetic exchange View Article
A heteroleptic diradical Cr(iii) complex with extended spin delocalization and large intramolecular magnetic exchange
Xiaozhou Ma, Elizaveta A. Suturina, Mathieu Rouzières, Fabrice Wilhelm, Andrei Rogalev, Rodolphe Clérac, Pierre Dechambenoit
May 04, 2020

Successive chemical reductions of the heteroleptic complex [(tpy)Cr III(tphz)] 3+(tpy = terpyridine; tphz = tetrapyridophenazine) give rise to the mono- and di-radical redox isomers, [(tpy)Cr...

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