Predicting single spikes and spike patterns with the Hindmarsh-Rose model

DOI10.1007/s00422-008-0260-yzbMath1161.92017OpenAlexW2062420516WikidataQ46244288 ScholiaQ46244288MaRDI QIDQ999394

Martin Hasler, Enno de Lange

Publication date: 3 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00422-008-0260-y

zbMATH Keywords

Nonlinear optimizationNonlinear dynamicsHindmarsh-Rose modelBifurcation analysisNeocortical neuronsParameter fittingQuantitative neuron modelingSpike-timing

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Biophysics (92C05)

Related Items (9)

Collective dynamics of neural network with distance dependent field coupling ⋮ Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model ⋮ Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model ⋮ Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function ⋮ Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator ⋮ Eventual dissipativeness and synchronization of nonlinearly coupled dynamical network of Hindmarsh-Rose neurons ⋮ Special issue on quantitative neuron modeling ⋮ Error and attack tolerance of synchronization in Hindmarsh-Rose neural networks with community structure ⋮ DELAY-INDUCED DYNAMICAL TRANSITIONS IN SINGLE HINDMARSH–ROSE SYSTEM

Uses Software

• SUNDIALS
• AUTO
• HomCont

Cites Work

• Unnamed Item
• Unnamed Item
• SUNDIALS
• Predicting spike timing of neocortical pyramidal neurons by simple threshold models
• Electrical bursting and luminal calcium oscillation in excitable cell models
• COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL
• Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds
• Observation of a continuous interior crisis in the Hindmarsh–Rose neuron model

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