Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons
Hugh R. Wilson,Jack D. Cowan +1 more
3.8K
TL;DR: It is proved that the existence of limit cycle dynamics in response to one class of stimuli implies theexistence of multiple stable states and hysteresis in responseTo this work, coupled nonlinear differential equations are derived for the dynamics of spatially localized populations containing both excitatory and inhibitory model neurons.
read more
About: This article is published in Biophysical Journal. The article was published on 01 Jan 1972. and is currently open access. The article focuses on the topics: Wilson–Cowan model & Limit cycle.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
In Praise of Artifice Reloaded: Caution With Natural Image Databases in Modeling Vision.
TL;DR: A solution for the problem of basic visual phenomena being misrepresented in large natural image datasets is outlined by using artificial stimuli and by proposing a modification that makes the model easier to tune is outlined.
A Network Model of Local Field Potential Activity in Essential Tremor and the Impact of Deep Brain Stimulation
Nada Yousif,Nada Yousif,Michael Mace,Nicola Pavese,Roman Borisyuk,Roman Borisyuk,Dipankar Nandi,Peter G. Bain +7 more
TL;DR: It is shown that the dynamics of the ET network support oscillations at the tremor frequency and the application of a DBS-like input disrupts this activity, which could be one mechanism underlying the therapeutic benefit.
A Mathematical Approach to Neural Systems
Shun-ichi Amari
- 01 Jan 1977
TL;DR: The present rather expository paper summarizes the author's recent endeavor of developing various mathematical techniques and obtaining characteristic features of nerve nets of the various levels.
31
On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network
TL;DR: In this article, the existence and uniqueness of solutions of a McKean-Vlasov evolution PDE representing the macroscopic behaviour of interacting Fitzhugh-Nagumo neurons were investigated.
Schizophrenia as a Network Disease: Disruption of Emergent Brain Function in Patients with Auditory Hallucinations
Irina Rish,Guillermo A. Cecchi,Benjamin Thyreau,Bertrand Thirion,Marion Plaze,Marie Laure Paillère-Martinot,Catherine Martelli,Jean-Luc Martinot,Jean-Baptiste Poline +8 more
TL;DR: This work suggests that significant disruption of the topological and spatial structure of functional MRI networks in schizophrenia cannot be explained by a disruption to area-based task-dependent responses, and is global in nature, affecting most dramatically long-distance correlations.
31
References
Information Theory
Robert B. Ash
TL;DR: This paper shows that Bitmap index is more advantageous than the B-tree index, based on three factors, size of index, clustering factor and compression, with a real experiment.
1.3K
Receptive fields of cells in striate cortex of very young, visually inexperienced kittens.
David H. Hubel,Torsten N. Wiesel +1 more
TL;DR: The purpose was to learn the age at which cortical cells have normal, adult-type receptive fields, and to find out whether such fields exist even in animals that have had no patterned visual stimulation.
1.1K
•Book
Basic mechanisms of the epilepsies
Herbert H. Jasper
- 01 Jan 1969
TL;DR: This basic mechanisms of the epilepsies tends to be the representative book in this website.
1.1K