A model based rule for selecting spiking thresholds in neuron models

DOI10.3934/mbe.2016008zbMath1348.92038OpenAlexW2338699114WikidataQ50660708 ScholiaQ50660708MaRDI QIDQ335090

Frederik Riis Mikkelsen

Publication date: 2 November 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2016008

zbMATH Keywords

dynamical systemsexcitabilityspikingHodgkin-Huxleythreshold selectionneuron modelling

Mathematics Subject Classification ID

Neural biology (92C20) Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• The Morris-Lecar neuron model embeds a leaky integrate-and-fire model
• Inflection, canards and excitability threshold in neuronal models
• Two and three dimensional reductions of the Hodgkin-Huxley system: Separation of time scales and bifurcation schemes
• False bifurcations in chemical systems: canards
• Canard Theory and Excitability
• DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS

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