Synchronization and Spindle Oscillation in Noisy Integrate-and-Fire-or-Burst Neurons with Inhibitory Coupling(Condensed Matter and Statistical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
We propose a new integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interactions using the Fokker-Planck equation and the Langevin equation, and find a reentrant transition of oscillatory states. Intermittent time evolution of neuron firing is found in strongly inhibited systems. We also propose an integrate-and-fire-or-burst model including the dynamics of the low-threshold Ca^<2+> current based on the new integrate-and-fire model. We study a globally coupled noisy integrate-and-fire-or-burst model with an inhibitory interaction using the Fokker-Planck equation and find bistability of the tonic mode and the burst mode. Doubly periodic oscillation appears in a coupled system consisting of two neuron assemblies. This oscillation is similar to the spindle oscillation seen in thalamic cells.
- 理論物理学刊行会の論文
- 2005-09-25
著者
-
Sakaguchi Hidetsugu
Kyushu Univ. Fukuoka Jpn
-
Sakaguchi Hidetsugu
Department Of Applied Science For Electronics And Materials Interdisciplinary Graduate School Of Eng
-
TOBIISHI Shoko
Department of Applied Science for Electronics and Materials, Interdisciplinary of Engineering Scienc
-
Sakaguchi Hidetsugu
Department Of Applied Physics Faculty Of Engineering Kyushu University
-
SAKAGUCHI Hidetsugu
Department of Applied Science for Electronics and Materials, Interdisciplinary of Engineering Sciences, Kyushu University
-
TOBIISHI Shoko
Department of Applied Science for Electronics and Materials, Interdisciplinary of Engineering Sciences, Kyushu University
関連論文
- Complex Dynamics in a Population of Threshold Elements : Condensed Matter and Statistical Physics
- Sidebranch Structures of Dendritic Patterns in a Coupled Map Lattice Model(General)
- A Coupled Map Lattice Model for Oscillatory Growth in Electrodeposition(General)
- Elimination of Pulses and Spirals by External Forces in Luo-Rudy Model(Cross-disciplinary physics and related areas of science and technology)
- Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction : General and Mathematical Physics
- Phase Transitions and Their Bifurcation Analysis in a Large Population of Active Rotators with Mean-Field Coupling : General and Mathematiccal Physics
- Effective Viscosity and Time Correlation for the Kuramoto-Sivashinsky Equation
- Mutual Entrainment and Multi-Stability in Josephson Junction Arrays : General Physics
- A Simple Model for Spatio-Temporal Chaos in an Unstable Burgers Equation
- Breakdown of the Phase Dynamics : General and Mathematical Physics
- Renyi Entropy and Statistical Mechanics
- Cooperative Phenomena in Coupled Oscillator Systems under External Fields
- Local and Global Self-Entrainments in Oscillator Lattices
- Bifurcations of the Coupled Logistic Map
- Solitary Pulses and Periodic Waves in the Parametrically Driven Complex Ginzburg-Landau Equation
- Symmetry Breaking of Vortex Patterns in a Rotating Harmonic Potential(General)
- A Mean-Field Lattice Model for the Diffusion-Controlled Aggregation
- Synchronization and Spindle Oscillation in Noisy Integrate-and-Fire-or-Burst Neurons with Inhibitory Coupling(Condensed Matter and Statistical Physics)
- Efficiency and Fluctuation in Tight-Coupling Model of Molecular Motor(General)
- Phase Dynamics and Localized Solutions to the Ginzburg-Landau Type Amplitude Equations
- A Langevin Simulation for Active Transport
- Mechanism of Stepped Leaders in a Simple Discharge Model
- Kinetic Friction by a Small Number of Intervening Inelastic Particles between Rough Surfaces
- Desynchronization in a Self-Oscillating Medium
- Tip Oscillation of Dendritic Patterns in a Phase Field Model. II(Condensed Matter and Statistical Physics)
- Localized State in a Nonlinear Resistor Network
- Shock Structures and Velocity Fluctuations in the Noisy Burgers and KdV-Burgers Equations(Condensed Matter and Statistical Physics)
- Localized State in a Population of Threshold Elements with Non-Local Interaction : Condensed Matter and Statistical Physics
- Tip Oscillation of Dendritic Patterns in a Phase Field Model. II
- A Soluble Active Rotator Model Showing Phase Transitions via Mutual Entrainment : General and Mathematical Physics
- Scaling Relations of Viscous Fingers in Anisotropic Hele-Shaw Cells(Condensed matter: structure and mechanical and thermal properties)
- Stick-Slip Motion and Phase Transition in a Block-Spring System(General)
- Suppression of Spiral Chaos by a Guiding Network in the Aliev-Panfilov Model(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Scattering and Trapping of Nonlinear Schrodinger Solitons in External Potentials (General)
- Fluctuation Theorem for a Langevin Model of the Feynman Ratchet : General Physics
- Pattern Formation in a Simple Electric Circuit Model of Barrier Discharge(Condensed Matter and Statistical Physics)
- Oscillatory and Excitable Behaviors in a Population of Model Neurons : General and Mathematical Physics
- Zigzag Instability and Reorientation of Roll Pattern in the Newell-Whitehead Equation : Progress Letters
- Kolmogorov-Sinai Entropy of the Ising Model : Progress Letters
- Phase Transitions in Coupled Bernoulli Maps
- Self-Organization of Tree Structures
- Self-Organization of Target Pattern in a Coupled System of Lattice Oscillation and Lattice Deformation : Progress Letters
- A Hierarchical Neural Network Model for Category Detection : General and Mathematical Physics
- Cascade Failure in a Phase Model of Power Grids
- Synchronization and a Critical Phenomenon of Pulse-Coupled Oscillators
- Standing Wave Patterns for the Complex Swift-Hohenberg Equation : Condensed Matter and Statistical Physics
- A Coupled Map Lattice Model for DLA-like Patterns
- A Langevin Simulation for the Feynman Ratchet Model
- Instability of the Interface and Dense Branching Pattern in the Phase Field Model
- Defect Creation by the Eckhaus Instability
- Pattern Formation in a Simple Model of Photochemical Reaction
- Generalized Einstein Relation for Brownian Motion in Tilted Periodic Potential(General)
- Steadily Growing Viscous Fingers in Anisotropic Hele-Shaw Cells(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)
- Transitions to Defect Turbulence in an Anisotropic System : Condensed Matter and Statistical
- A Simple Dynamical Model of Dense Branching Patterns
- Forced Entrainment and Elimination of Spiral Waves for the FitzHugh-Nagumo Equation
- Elimination of Spiral Waves in Two Different Models: Electrical Defibrillation Revisited
- Tip Oscillation of Dendritic Patterns in a Phase Field Model
- Creation and Reproduction of Model Cells with Semipermeable Membrane(Cross-disciplinary physics and related areas of science and technology)
- Reflection of Channel-Guided Solitons at Corners and Junctions in Two-Dimensional Nonlinear Schrödinger Equation
- Reaction-Diffusion System in a Vesicle with Semi-Permeable Membrane(General)
- Spatially Periodic Domain Structure in Coupled Reaction--Diffusion Equations for Segment Formation
- Desynchronization in a Population of Globally Coupled Identical Oscillators : Condensed Matter and Statistical Physics
- Instability of the Hole Solution in the Complex Ginzburg-Landau Equation
- Forced Entrainment of Spiral Waves : General and Mathematical Physics
- Phase Dynamics of the Coupled Complex Ginzburg-Landau Equations
- Reflection and Splitting of Channel-Guided Solitons in Two-Dimensional Nonlinear Schrödinger Equation
- Localized State in a Population of Threshold Elements with Non-Local Interaction : Condensed Matter and Statistical Physics
- Pattern Formation in a System with Spontaneously- Broken Rotational Symmetry
- Defect Turbulence in the Coupled Swift-Hohenberg-Ginzburg-Landau Equations
- Pattern Formation in Coupled Phase Equations
- Localized Oscillation in a Cellular Pattern : Progress Letters
- Elimination of Breathing Spiral Waves in the Aliev–Panfilov Model
- Numerical Study of Vortex Motion in the Two Dimensional Ginzburg-Landau Equation
- Intermittency and Slip-Size Distribution in the Block-Spring Model of Earthquakes
- Hole Solutions in the Complex Ginzburg-Landau Equation near a Subcritical Bifurcation : Progress Letters
- Stochastic Dynamics and Learning Rules in Layered Neural Networks : Genaral and Mathematical Physics
- Phase Turbulence and Mutual Entrainment in a Coupled Oscillator System : Progress Letters
- Dynamic Scaling of an Adsorption-Diffusion Process on Fractals(General)
- Scattering of Solitons and Dark Solitons by Potential Walls in the Nonlinear Schrodinger Equation(General)