2013
DOI: 10.3389/fncom.2013.00063
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Desynchronization boost by non-uniform coordinated reset stimulation in ensembles of pulse-coupled neurons

Abstract: Several brain diseases are characterized by abnormal neuronal synchronization. Desynchronization of abnormal neural synchrony is theoretically compelling because of the complex dynamical mechanisms involved. We here present a novel type of coordinated reset (CR) stimulation. CR means to deliver phase resetting stimuli at different neuronal sub-populations sequentially, i.e., at times equidistantly distributed in a stimulation cycle. This uniform timing pattern seems to be intuitive and actually applies to the … Show more

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Cited by 28 publications
(15 citation statements)
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“…Oscillating systems subject to pulsed inputs or interactions were studied in many different areas, such as dynamics of spiking neurons [1], communication of fireflies by short light pulses [2,3], impacting mechanical oscillators [4], electronic oscillators [5][6][7], optical systems [8][9][10], stimulation of cardiac [11][12][13], respiratory [14,15] or circadian [16] rhythms. Simple but powerful models to describe such systems are phase oscillators with pulsatile coupling, which are especially popular in neuroscience [2,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Apart of the simplicity of phase models in comparison to conductance-based models [32], they possess two main features: the possibility of individual neurons to produce periodic output, and the fact that interaction between neurons is mediated by the brief action potentials or spikes, which have a temporal duration much smaller than the interspike intervals (ISIs).…”
Section: Introductionmentioning
confidence: 99%
“…Oscillating systems subject to pulsed inputs or interactions were studied in many different areas, such as dynamics of spiking neurons [1], communication of fireflies by short light pulses [2,3], impacting mechanical oscillators [4], electronic oscillators [5][6][7], optical systems [8][9][10], stimulation of cardiac [11][12][13], respiratory [14,15] or circadian [16] rhythms. Simple but powerful models to describe such systems are phase oscillators with pulsatile coupling, which are especially popular in neuroscience [2,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Apart of the simplicity of phase models in comparison to conductance-based models [32], they possess two main features: the possibility of individual neurons to produce periodic output, and the fact that interaction between neurons is mediated by the brief action potentials or spikes, which have a temporal duration much smaller than the interspike intervals (ISIs).…”
Section: Introductionmentioning
confidence: 99%
“…1(a)] the emitted pulses affect the oscillator after a delay τ at the time instant t * = t+τ . When the pulse is received, the phase of the oscillator undergoes an instantaneous shift by an amount ∆ϕ = Z(ϕ(t * − 0)), where Z(ϕ) is the phase resetting curve (PRC).Thus, the dynamics of the oscillator can be described by the following equation [3,[10][11][12][13]:where t j are the instants when the pulses are emitted. Note that we adopt the convention Z ex (ϕ) := 0.1 sin q (πϕ) , where q controls the steepness of Z ex (ϕ) [see Fig.…”
mentioning
confidence: 99%
“…Thus, the dynamics of the oscillator can be described by the following equation [3,[10][11][12][13]:…”
mentioning
confidence: 99%
“…For the acoustic CR neuromodulation, however, a precise tonotopic organization of the auditory cortex and auditory pathway has to be considered (Ehret and Romand, 1997). Furthermore, one can use models based on phase response curves (PRC) (Winfree, 1980; Ermentrout, 1996; Lücken et al, 2013) and incorporate the PRC measured either experimentally or obtained by detailed modeling of the STN, globus pallidus or cortical regions (Netoff et al, 2005; Tateno and Robinson, 2007; Tsubo et al, 2007; Stiefel et al, 2008; Schultheiss et al, 2010; Farries and Wilson, 2012a,b). Detailed neuronal models, although reflecting the richness and complexity of neuronal dynamics, are, on the other hand, so complicated and specialized that they may undermine the generality of their predictions, in particular, for other stimulation modalities and target regions.…”
Section: Discussionmentioning
confidence: 99%