Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling

Ghosh, Subrata; Mondal, Argha; Ji, Peng; Mishra, Arindam; Dana, Syamal K.; Antonopoulos, Christos; Hens, Chittaranjan

doi:10.3389/fncom.2020.00049

Cited by 24 publications

(11 citation statements)

References 68 publications

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“…We also notice that, for each burst mode in the stochastic system, its occurrence percentages resulting from two initial conditions are equivalent when D>0. 14…”

Section: The Roles Of Noise On Bursting Dynamicsmentioning

confidence: 99%

Mixed Mode Bursting Oscillations Induced by Birhythmicity and Noise

Yu¹,

Xia²,

Liyau³

2021

Preprint

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Bursting oscillations are commonly seen as a mechanism for information coding in neuroscience and have also been observed in many physical, biochemical, and chemical systems. This study focuses on the computational investigation of mixed-mode bursting oscillations (MMBOs) generated by a simple two-dimensional integrate-and-fire-or-burst (IFB) model. We demonstrate a new paradigm for the generation of MMBOs, where birhythmicity and noise are the key components. In the absence of noise, the proposed model exhibits birhythmicity of two independent bursting patterns, bursts of two spikes and bursts of three spikes, depending on the initial condition of the model. Noise induces the random transitions between two bursting states which leads to MMBOs, and the transition rate increases with the noise intensity. Our results provide a systematic view of the roles of noise and initial condition: the bursting dynamics produced by the proposed model heavily rely on the initial conditions when noise is weak; while for intermediate and strong noise, the burst dynamics are independent of the initial condition.

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“…We also notice that, for each burst mode in the stochastic system, its occurrence percentages resulting from two initial conditions are equivalent when D>0. 14…”

Section: The Roles Of Noise On Bursting Dynamicsmentioning

confidence: 99%

Mixed Mode Bursting Oscillations Induced by Birhythmicity and Noise

Yu¹,

Xia²,

Liyau³

2021

Preprint

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“…These activity patterns have rhythmic dynamics with mixed-mode oscillations (MMO), which are complex periodic forms of activity. We note such MMOs are experimentally observed and analyzed in neurophysiological studies (Del Negro et al, 2002;Desroches et al, 2013;Ghosh et al, 2020). We study the transitions between such patterns of activity and how the relevant parameters can be tuned for a specific pattern to get selected across the layers.…”

Section: Introductionmentioning

confidence: 99%

Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

Verma

Ambika

2021

Front. Comput. Neurosci.

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We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the dynamics of single neurons, we analyze the possible patterns of dynamics in each layer separately and report emergent patterns of activity like in-phase synchronized oscillations and amplitude death (AD) for excitatory coupling and anti-phase mixed-mode oscillations (MMO) in multi-clusters with phase regularities when the connections are inhibitory. When they are multiplexed, with neurons of one layer coupled with excitatory synaptic coupling and neurons of the other layer coupled with inhibitory synaptic coupling, we observe the transfer or selection of interesting patterns of collective behavior between the layers. While the revival of oscillations occurs in the layer with excitatory coupling, the transition from anti-phase to in-phase and vice versa is observed in the other layer with inhibitory synaptic coupling. We also discuss how the selection of these spatio temporal patterns can be controlled by tuning the intralayer or interlayer coupling strengths or increasing the range of non-local coupling. With one layer having electrical coupling while the other synaptic coupling of excitatory(inhibitory)type, we find in-phase(anti-phase) synchronized patterns of activity among neurons in both layers.

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“…Particularly, we develop a modified architecture of ESN to capture the onset as well as the strength of burst synchronization. It is to be noted that spiking is a repeated firing state of neurons, whereas bursting is a bunch of spikes [58][59][60][61][62][63]. Each burst is followed by a quiescence state before the next burst occurs and it can be periodic or chaotic.…”

Section: Introductionmentioning

confidence: 99%

Role of assortativity in predicting burst synchronization using echo state network

Roy,

Senapati,

Poria

et al. 2021

Preprint

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Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling

Cited by 24 publications

References 68 publications

Mixed Mode Bursting Oscillations Induced by Birhythmicity and Noise

Mixed Mode Bursting Oscillations Induced by Birhythmicity and Noise

Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

Role of assortativity in predicting burst synchronization using echo state network

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