Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses

By D. Pinto, B. Ermentrout. SIAM Journal on Applied Mathematics, 2001

327 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Waves and bumps in neuronal networks with axo-dendritic synaptic interactions (2003, methodology): “In the absence of any space-dependent delays, i.e. v → ∞, it has been shown by Ermentrout and McLeod that there exists a unique monotone traveling wave front for sigmoidal firing rate functions and positive spatially decaying weight functions [22].”
Waves, bumps, and patterns in neural field theories (2005, background): “Importantly, numerical simulations show that many of the qualitative properties of solutions in the high gain limit are retained with decreasing gain (Ermentrout and McLeod 1993; Pinto and Ermentrout 2001; Coombes et al. 2003).”
Spatiotemporal dynamics of continuum neural fields (2012, unknown): “In recent years, neural fields have been used to model a wide range of neurobiological phenomena, including wave propagation in cortical slices [4] [17] and in vivo [18], geometric visual hallucinations [19] [20], EEG rhythms [21] [22] [23] [24], orientation tuning in primary visual cortex (V1)…”