Related Experiment Video
Updated: Jul 13, 2025
06:45
Generation and On-Demand Initiation of Acute Ictal Activity in Rodent and Human Tissue
Published on: January 19, 2019
9.0K
Chimera states in a chain of superdiffusively coupled neurons
1P.N. Lebedev Physical Institute of the Russian Academy of Sciences, 53 Leninskiy Prospekt, Moscow 119991, Russian Federation.
Chaos (Woodbury, N.Y.)
|October 13, 2023
Summary
Superdiffusion equations with fractional Laplace operators enable chimera states in neuron models. Local couplings lead to synchronous behavior, while fractional exponents control chimera evolution and incoherence.
Area of Science:
- Computational Neuroscience
- Complex Systems Dynamics
- Mathematical Biology
Background:
- Action potential propagation is fundamental to neural communication.
- Understanding emergent behaviors like chimera states in neural networks is crucial.
- Non-local interactions and superdiffusion phenomena are increasingly recognized in biological systems.
Purpose of the Study:
- To investigate the emergence and characteristics of chimera states in neuronal systems with superdiffusion.
- To analyze the role of non-local couplings, specifically the fractional Laplace operator, in supporting chimera states.
- To examine the influence of neuronal activation properties and system dimensionality on chimera dynamics.
Main Methods:
- Analysis of two- and three-component systems of superdiffusion equations.
- Modeling neuronal dynamics using the Hindmarsh-Rose nonlinear functions.
- Employing the fractional Laplace operator to describe superdiffusion kinetics and non-local couplings.
Main Results:
- Non-local couplings based on the fractional Laplace operator support chimera states.
- Local couplings (classical Laplace operator) result in synchronous neuronal behavior.
- Chimera state structure and evolution are significantly dependent on the fractional Laplacian exponent, indicating the importance of non-locality.
Conclusions:
- Fractional superdiffusion dynamics provide a mechanism for chimera state formation in non-locally coupled neurons.
- The degree of non-locality, controlled by the fractional exponent, dictates the transition from coherent to incoherent states.
- Introducing additional slow variables can lead to complex transitions and the formation of intermediate chimera states.
More Related Videos
Related Concept Videos
01:25Neural Circuits
1.3K
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
1.3K
01:19The Role of Ion Channels in Neuronal Computation
3.2K
A postsynaptic neuron usually receives numerous impulses from several other presynaptic neurons. The axon hillock of the postsynaptic neuron integrates all these signals and determines the likelihood of firing an action potential.
Sometimes a single EPSP is strong enough to induce an action potential in the postsynaptic neuron. However, multiple presynaptic inputs must often create EPSPs around the same time for the postsynaptic neuron to be sufficiently depolarized to fire an action potential....
Sometimes a single EPSP is strong enough to induce an action potential in the postsynaptic neuron. However, multiple presynaptic inputs must often create EPSPs around the same time for the postsynaptic neuron to be sufficiently depolarized to fire an action potential....
3.2K
01:20Sympathetic Pathways: Sympathetic Chain Ganglia
2.7K
The sympathetic chain ganglia, also known as the sympathetic trunk ganglia or paravertebral ganglia, are a series of ganglia located bilaterally on either side of the spinal column. These ganglia serve as relay stations for the sympathetic nervous system. Preganglionic neurons originating in the spinal cord project their axons to the sympathetic chain ganglia. Within the ganglia, these preganglionic fibers synapse with postganglionic neurons.The postganglionic neurons of the sympathetic trunk...
2.7K
01:28Neuronal Communication
982
Neurons, the fundamental units of the brain and nervous system, communicate through complex electrochemical signals that underpin all cognitive and bodily functions. This communication is primarily facilitated by a process involving the generation and propagation of an action potential along the axon of the neuron. When the internal electrical charge of a neuron surpasses a certain threshold, an action potential is triggered. This rapid change in voltage travels swiftly along the axon to the...
982
02:47The Synapse
125.3K
Neurons communicate with one another by passing on their electrical signals to other neurons. A synapse is the location where two neurons meet to exchange signals. At the synapse, the neuron that sends the signal is called the presynaptic cell, while the neuron that receives the message is called the postsynaptic cell. Note that most neurons can be both presynaptic and postsynaptic, as they both transmit and receive information.
125.3K
01:23Propagation of Action Potentials
5.9K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
5.9K