Resonance modulation, annihilation and generation of anti-resonance and anti-phasonance in 3D neuronal systems: interplay of resonant and amplifying currents with slow dynamics

DOI10.1007/s10827-017-0646-8zbMath1382.92079OpenAlexW2560389226MaRDI QIDQ1705137

Horacio G. Rotstein

Publication date: 14 March 2018

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1101/091207

zbMATH Keywords

asymptoticsoscillationspositive feedbacknegative feedbackneuron modelpreferred frequency responseboundary layer in frequency domainpreferred phase response

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (8)

Nonlinearities Shape the Response Patterns to Oscillatory Inputs in a Caricature Electrochemical Cell Model ⋮ Spiking resonances in models with the same slow resonant and fast amplifying currents but different subthreshold dynamic properties ⋮ The voltage and spiking responses of subthreshold resonant neurons to structured and fluctuating inputs: persistence and loss of resonance and variability ⋮ Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations ⋮ Low-dimensional models of single neurons: a review ⋮ Network Resonance: Impedance Interactions via a Frequency Response Alternating Map (FRAM) ⋮ Inhibition-based relaxation oscillations emerge in resonator networks ⋮ Frequency-dependent responses of neuronal models to oscillatory inputs in current versus voltage clamp

Cites Work

• Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents
• The shaping of intrinsic membrane potential oscillations: positive/negative feedback, ionic resonance/amplification, nonlinearities and time scales
• Subthreshold amplitude and phase resonance in models of quadratic type: nonlinear effects generated by the interplay of resonant and amplifying currents
• Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase resonance

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