Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

@article{Verma2021EmergentDA,
  title={Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks},
  author={Umesh Kumar Verma and G. Ambika},
  journal={Frontiers in Computational Neuroscience},
  year={2021},
  volume={15}
}
  • U. K. Verma, G. Ambika
  • Published 14 September 2021
  • Physics, Biology, Computer Science
  • Frontiers in Computational Neuroscience
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… 

References

SHOWING 1-10 OF 44 REFERENCES
Frequency locking and travelling burst sequences in community structured network of inhibitory neurons with differing time-scales
TLDR
The inhibitory coupling between the neuronal modules lead to complete synchronization of neurons in a module, and also pushes modules into interesting sequences of travelling burst patterns that are characteristic of the time-scale mismatch and coupling strengths.
Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling
TLDR
The results suggest that, for weak couplings, MMOs appear due to the de-synchronization of a large number of quiescent neurons in the networks, suggesting a favorable network architecture and suitable parameter spaces where Izhikevich model neurons generate diverse responses ranging from MMOs to tonic spiking.
Synchronization Patterns in Modular Neuronal Networks: A Case Study of C. elegans
TLDR
By introducing an alternative method to define meaningful communities based on the dynamical correlations of the nodes, this work obtains a structure that is dominated by two large communities that promotes the emergence of chimera-like states and allows to relate the dynamics of the corresponding neurons to biological neuronal functions such as motor activities.
Chimera states in a multilayer network of coupled and uncoupled neurons.
TLDR
It is found that between-layer synchronous chimera states can emerge in the coupled layer regardless of the range of electrical synapses, and this results are discussed in the light of neuronal evolution, where the coexistence of coherent and incoherent dynamics during the developmental stage is particularly likely.
Antiphase synchronization in multiplex networks with attractive and repulsive interactions.
TLDR
This article investigates the synchronization properties of dynamical systems connected through multiplex architectures in the presence of attractive intralayer and repulsive interlayer connections and demonstrates the existence of a transition from interlayer antisynchronization to antiphase synchrony in any connected bipartite multiplex architecture.
Chimera states in uncoupled neurons induced by a multilayer structure
TLDR
A density-dependent threshold is found for the emergence of chimera states in uncoupled neurons, similar to the quorum sensing transition to a synchronized state and the impact of both homogeneous and heterogeneous inter-layer information transmission delays on the observed chimeraStates over a wide parameter space is examined.
Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience
TLDR
A set of mathematical tools that are suitable for addressing the dynamics of oscillatory neural networks are presented, broadening from a standard phase oscillator perspective to provide a practical framework for further successful applications of mathematics to understanding network dynamics in neuroscience.
Chimera states in neuronal networks: A review.
Neuronal networks, similar to many other complex systems, self-organize into fascinating emergent states that are not only visually compelling, but also vital for the proper functioning of the brain.
Amplitude death: The emergence of stationarity in coupled nonlinear systems
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important
Tipping induced by multiplexing on two-layer networks
We report the study of sudden transitions or tipping induced in a collection of systems due to multiplexing with another network of systems. The emergent dynamics of oscillators on one layer can
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