59 citations · 138 across the 20 of their papers we have counts for
21 papers
Topological Data Analysis in Finsler Spaces
Rafael Cavalcanti, Nelson Leal, Danilo Barros de Souza +2
We introduce a new approach to Topological Data Analysis (TDA) based on Finsler metrics and we also generalize the classical concepts of Vietoris-Rips and Cech complexes within thi…
Depolarization block induction via slow NaV1.1 inactivation in Dravet syndrome
Louisiane Lemaire, Mathieu Desroches, Serafim Rodrigues +1
Dravet syndrome is a developmental and epileptic encephalopathy, characterized by the early onset of drug-resistant seizures and various comorbidities. Most cases of this severe an…
Observing hidden neuronal states in experiments
Dmitry Amakhin, Anton Chizhov, Guillaume Girier +3
In this article we demonstrate a general protocol for constructing systematically experimental steady-state bifurcation diagrams for electrophysiologically active cells. We perform…
Synchronization in STDP-driven memristive neural networks with time-varying topology
Marius E. Yamakou, Mathieu Desroches, Serafim Rodrigues
Synchronization is a widespread phenomenon in the brain. Despite numerous studies, the specific parameter configurations of the synaptic network structure and learning rules needed…
Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal
Mattia Sensi, Mathieu Desroches, Serafim Rodrigues
We propose a generalization of the neurotransmitter release model proposed in \emph{Rodrigues et al. (PNAS, 2016)}. We increase the complexity of the underlying slow-fast system by…
Invariants for neural automata
Jone Uria-Albizuri, Giovanni Sirio Carmantini, Peter beim Graben +1
Computational modeling of neurodynamical systems often deploys neural networks and symbolic dynamics. A particular way for combining these approaches within a framework called vect…
Are Brain-Computer Interfaces Feasible with Integrated Photonic Chips?
Vahid Salari, Serafim Rodrigues, Erhan Saglamyurek +2
The present paper examines the viability of a radically novel idea for brain-computer interface (BCI), which could lead to novel technological, experimental and clinical applicatio…
Stochastic facilitation in heteroclinic communication channels
Giovanni Sirio Carmantini, Fabio Schittler Neves, Marc Timme +1
Biological neural systems encode and transmit information as patterns of activity tracing complex trajectories in high-dimensional state-spaces, inspiring alternative paradigms of…
Spike-adding and reset-induced canard cycles in adaptive integrate and fire models
Mathieu Desroches, Piotr Kowalczyk, Serafim Rodrigues
We study a class of planar integrate and fire (IF) models called adaptive integrate and fire (AIF) models, which possesses an adaptation variable on top of membrane potential, and…
Why we should use Topological Data Analysis in Ageing: towards defining the "Topological shape of ageing"
Tamàs Fülöp, Mathieu Desroches, Fernando Antônio Nóbrega Santos +1
Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and d…
Towards a new classification of bursting patterns: review & extensions
Mathieu Desroches, John Rinzel, Serafim Rodrigues
The mathematical classification of complex bursting oscillations in multiscale excitable systems, seen for example in physics and neuroscience, has been the subject of active enqui…
A modular architecture for transparent computation in Recurrent Neural Networks
Giovanni Sirio Carmantini, Peter beim Graben, Mathieu Desroches +1
Computation is classically studied in terms of automata, formal languages and algorithms; yet, the relation between neural dynamics and symbolic representations and operations is s…
Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems
Mathieu Desroches, Antoni Guillamon, Enrique Ponce +3
Canard-induced phenomena have been extensively studied in the last three decades, both from the mathematical and from the application viewpoints. Canards in slow-fast systems with…
Turing Computation with Recurrent Artificial Neural Networks
Giovanni S Carmantini, Peter beim Graben, Mathieu Desroches +1
We improve the results by Siegelmann & Sontag (1995) by providing a novel and parsimonious constructive mapping between Turing Machines and Recurrent Artificial Neural Networks, ba…
On the electrodynamics of neural networks
Peter beim Graben, Serafim Rodrigues
We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellula…
Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics
Jesus M Cortes, Mathieu Desroches, Serafim Rodrigues +3
Short-Term Synaptic Plasticity (STSP) strongly affects the neural dynamics of cortical networks. The Tsodyks and Markram (TM) model for STSP accurately accounts for a wide range of…
Extremum seeking via continuation techniques for optimizing biogas production in the chemostat
Alain Rapaport, Jan Sieber, Serafim Rodrigues +1
We consider the chemostat model with the substrate concentration as the single measurement. We propose a control strategy that drives the system at a steady state maximizing the ga…
A biophysical observation model for field potentials of networks of leaky integrate-and-fire neurons
Peter beim Graben, Serafim Rodrigues
We present a biophysical approach for the coupling of neural network activity as resulting from proper dipole currents of cortical pyramidal neurons to the electric field in extrac…
A method for the reconstruction of unknown non-monotonic growth functions in the chemostat
Jan Sieber, Alain Rapaport, Serafim Rodrigues +1
We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the gro…
Coupling continuous neural networks to the electromagnetic field in nervous tissue
Peter beim Graben, Serafim Rodrigues
We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellula…
Evidence for frequency-dependent extracellular impedance from the transfer function between extracellular and intracellular potentials
Claude Bedard, Serafim Rodrigues, Noah Roy +2
We examine the properties of the transfer function F_T = V_m / V_{LFP} between the intracellular membrane potential (V_m) and the local field potential (V_{LFP}) in cerebral cortex…