Delay-induced oscillations in Wilson and Cowan's model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects

DOI10.1007/S00422-013-0549-3zbMath1267.92034OpenAlexW1968777219WikidataQ45713032 ScholiaQ45713032MaRDI QIDQ353891

William Pasillas-Lépine

Publication date: 16 July 2013

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00422-013-0549-3

zbMATH Keywords

delaysParkinson's diseasebasal ganglianeural oscillationsfiring-rate models

Mathematics Subject Classification ID

Neural biology (92C20) Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08)

Related Items (12)

Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems ⋮ Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia ⋮ Adaptive control of Lipschitz time-delay systems by sigma modification with application to neuronal population dynamics ⋮ Robust stabilization of delayed neural fields with partial measurement and actuation ⋮ Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection ⋮ The possible mechanism of direct feedback projections from basal ganglia to cortex in beta oscillations of Parkinson's disease: a theoretical evidence in the competing resonance model ⋮ ISS-Stabilization of Delayed Neural Fields by Small-Gain Arguments ⋮ Origins and suppression of oscillations in a computational model of Parkinson's disease ⋮ Stability and bifurcations in Wilson-Cowan systems with distributed delays, and an application to basal ganglia interactions ⋮ The role of network structure and time delay in a metapopulation Wilson-Cowan model ⋮ Analysis of delay-induced basal ganglia oscillations: the role of external excitatory nuclei ⋮ Dynamics of a Homeostatically Regulated Neural System with Delayed Connectivity

Uses Software

• DDE-BIFTOOL

Cites Work

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