Influence of sodium currents on speeds of traveling wave fronts in synaptically coupled neuronal networks
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Publication:979084
DOI10.1016/j.physd.2009.09.022zbMath1197.35077OpenAlexW2017518153MaRDI QIDQ979084
Ping-Shi Wu, Melissa Anne Stoner, Linghai Zhang
Publication date: 25 June 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2009.09.022
Integro-partial differential equations (45K05) Neural networks for/in biological studies, artificial life and related topics (92B20) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)
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Pattern selection and self-organization induced by random boundary initial values in a neuronal network ⋮ Wave speed analysis of traveling wave fronts in delayed synaptically coupled neuronal networks ⋮ Existence and uniqueness of wave fronts in neuronal network with nonlocal post-synaptic axonal and delayed nonlocal feedback connections ⋮ Existence of wave front solutions of an integral differential equation in nonlinear nonlocal neuronal network ⋮ Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not ⋮ Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction-diffusion equations with a Heaviside step function
Cites Work
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- Analysis of nonlocal neural fields for both general and gamma-distributed connectivities
- Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
- Dynamics of neuronal waves
- Mathematical foundations of neuroscience
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Multidimensional nonlinear diffusion arising in population genetics
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- On stability of traveling wave solutions in synaptically coupled neuronal networks.
- Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks.
- Tutorials in mathematical biosciences. I: Mathematical neuroscience
- Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
- A note on traveling fronts and pulses in a firing rate model of a neuronal network
- Waves, bumps, and patterns in neural field theories
- Traveling waves of a singularly perturbed system of integral-differential equations arising from neuronal networks
- Propagating Activity Patterns in Thalamic Neuronal Networks
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
- Multiple Bumps in a Neuronal Model of Working Memory
- EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS
- Propagation Phenomena in a Bistable Reaction-Diffusion System
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Existence and uniqueness of travelling waves for a neural network
- PDE Methods for Nonlocal Models
- Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity
- Breathing Pulses in an Excitatory Neural Network
- Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
- Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation
- Front Bifurcations in an Excitatory Neural Network
- The Evans function for nonlocal equations
- Neural Fields with Distributed Transmission Speeds and Long‐Range Feedback Delays
- How Do Synaptic Coupling and Spatial Temporal Delay Influence Traveling Waves in Nonlinear Nonlocal Neuronal Networks?
- Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network
- Sharp Estimates on Minimum Travelling Wave Speed of Reaction Diffusion Systems Modelling Autocatalysis
- Existence and Stability of Traveling Pulses in a Continuous Neuronal Network
- Weakly Interacting Pulses in Synaptically Coupled Neural Media
- Existence and Stability of Standing Pulses in Neural Networks: I. Existence
- Spiral Waves in Nonlocal Equations
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