Network Resonance: Impedance Interactions via a Frequency Response Alternating Map (FRAM)

Leiser, Randolph J.; Rotstein, Horacio G.

doi:10.1137/18m1200518

Cited by 1 publication

(1 citation statement)

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“…These results are consistent with the fact that intrinsic oscillations are a property of an unforced system (e.g., a neuron or network), which results from the intrinsic properties of the system. In contrast, resonance (and the impedance profile) is a property of the interaction between the system and the oscillatory input in the frequency domain (Rotstein, 2014;Leiser and Rotstein, 2019), in much the same way as phase and spike-time response curves are in the time domain (Pervouchine et al, 2006;Smeal et al, 2010).…”

Section: Discussionmentioning

confidence: 99%

Neuronal resonance can be generated independently at distinct levels of organization

Stark

Rotstein

2020

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Neuronal resonance is defined as maximal amplification of the response of a system to a periodic input at a finite non-zero input frequency band. Resonance has been observed experimentally in the nervous system at the level of membrane potentials, spike times, post-synaptic potentials, and neuronal networks. It is often assumed that resonance at one level of organization endows resonance at another level, but how the various forms of neuronal resonances interact is unknown. Here we show that a direct link of the frequency response properties across neuronal levels of organization is not necessary. Using detailed biophysical modeling combined with numerical simulations, extracellular recordings, and optogenetic manipulations from behaving mice, we show how low-pass filtering, high-pass filtering, and amplification mechanisms can generate resonance at a single level of organization. Subthreshold resonance, synaptic resonance, and spiking resonance can each occur in the lack of resonance at any other level of organization. In contrast, frequencydependent mechanisms at several levels of organization are required to generate the more complex phenomenon of network resonance. Together, these results show that multiple independent mechanisms can generate resonance in neuronal systems.

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