Pathological synchronization in neuronal populations : a control theoretic perspective
type: Dataset
description: In the first part of this thesis, motivated by the development of deep brain stimulation for Parkinson's disease, we consider the problem of reducing the synchrony of a neuronal population via a closed-loop electrical stimulation. This, under the constraints that only the mean membrane voltage of the ensemble is measured and that only one stimulation signal is available (mean-field feedback). The neuronal population is modeled as a network of interconnected Landau-Stuart oscillators controlled by a linear single-input single-output feedback device. Based on the associated phase dynamics, we analyze existence and robustness of phase-locked solutions, modeling the pathological state, and derive necessary conditions for an effective desynchronization via mean-field feedback. Sufficient conditions are then derived for two control objectives: neuronal inhibition and desynchronization. Our analysis suggests that, depending on the strength of feedback gain, a proportional mean-field feedback can either block the collective oscillation (neuronal inhibition) or desynchronize the ensemble.In the second part, we explore two possible ways to analyze related problems on more biologically sound models. In the first, the neuronal population is modeled as the interconnection of nonlinear input-output operators and neuronal synchronization is analyzed within a recently developed input-output approach. In the second, excitability and synchronizability properties of neurons are analyzed via the underlying bifurcations. Based on the theory of normal forms, a novel reduced model is derived to capture the behavior of a large class of neurons remaining unexplained in other existing reduced models.
identifier: NNT: 2012PA112069
issued: 2026-05-19T17:35:40.787475
language: en
modified: 2026-05-19T17:35:40.787480
contact point: Organization
  fn: CCSD
keyword: controle-de-la-synchronisation
keyword: deep-brain-stimulation
keyword: desynchronisation-des-oscillateurs-de-phase
keyword: excitabilite-neuronale
keyword: infoeu-reposemanticsdoctoralthesis
keyword: inhibition-des-oscillations
keyword: input-output-neuronal-modeling
keyword: kuramoto-model
keyword: mean-field-feedback
keyword: modele-de-kuramoto
keyword: modelisation-neuronale-de-type-entree-sortie
keyword: modelisation-neuronale-reduite
keyword: neuronal-excitability
keyword: oscillation-inhibition
keyword: phase-desynchronization
keyword: physcondcm-genphysics-physicscondensed-matter-cond-matother-cond-matother
keyword: reduced-neuronal-modeling
keyword: retroaction-du-champ-moyen
keyword: stimulation-cerebrale-profonde
keyword: synchronization-control
keyword: theses
landing page: https://theses.hal.science/tel-00695029

Pathological synchronization in neuronal populations : a control theoretic perspective
type: Distribution
format: HTML
issued: 2026-05-19T17:35:40.833996
modified: 2026-05-19T17:35:40.743269
access URL: https://theses.hal.science/tel-00695029

test_moissonnage_selune
type: Agent