scholarly journals Standing Waves and Traveling Waves Distinguish Two Circuits in Visual Cortex

Neuron ◽  
2007 ◽  
Vol 55 (1) ◽  
pp. 103-117 ◽  
Author(s):  
Andrea Benucci ◽  
Robert A. Frazor ◽  
Matteo Carandini
Keyword(s):  
Visual Cortex ◽  
Traveling Waves ◽  
Standing Waves

scholarly journals Standing waves and traveling waves in visual cortex

2010 ◽  
Vol 6 (13) ◽  
pp. 25-25
Author(s):  
M. Carandini ◽  
R. A. Frazor ◽  
A. Benucci
Keyword(s):  
Visual Cortex ◽  
Traveling Waves ◽  
Standing Waves

scholarly journals Traveling and standing waves mediate pattern formation in cellular protrusions

2020 ◽  
Vol 6 (32) ◽  
pp. eaay7682
Author(s):  
Sayak Bhattacharya ◽  
Tatsat Banerjee ◽  
Yuchuan Miao ◽  
Huiwang Zhan ◽  
Peter N. Devreotes ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Traveling Waves ◽  
Standing Waves ◽  
Cell Cortex ◽  
Theoretical Studies ◽  
Direct Transformation ◽  
Diffusion Parameters ◽  
Excitable Systems ◽  
Mutant Strains ◽  
The Stability

The mechanisms regulating protrusions during amoeboid migration exhibit excitability. Theoretical studies have suggested the possible coexistence of traveling and standing waves in excitable systems. Here, we demonstrate the direct transformation of a traveling into a standing wave and establish conditions for the stability of this conversion. This theory combines excitable wave stopping and the emergence of a family of standing waves at zero velocity, without altering diffusion parameters. Experimentally, we show the existence of this phenomenon on the cell cortex of some Dictyostelium and mammalian mutant strains. We further predict a template that encompasses a spectrum of protrusive phenotypes, including pseudopodia and filopodia, through transitions between traveling and standing waves, allowing the cell to switch between excitability and bistability. Overall, this suggests that a previously-unidentified method of pattern formation, in which traveling waves spread, stop, and turn into standing waves that rearrange to form stable patterns, governs cell motility.

Nonlinear Periodic Systems: Bands and Localization

2009 ◽  
Author(s):  
Alexander Vakakis
Keyword(s):  
Traveling Waves ◽  
Multiple Scales ◽  
Initial Conditions ◽  
Near Field ◽  
Standing Waves ◽  
Nonlinear Resonance ◽  
Nonlinear Effects ◽  
Periodic Media ◽  
Spatially Extended ◽  
Nonlinear Standing Waves

We consider the dynamics of nonlinear mono-coupled periodic media. When coupling dominates over nonlinearity near-field standing waves and spatially extended traveling waves exist, inside stop and pass bands, respectively, of the nonlinear system. Nonlinear standing waves are analytically studied using a nonlinear normal mode formulation, whereas nonlinear traveling waves are analyzed by the method of multiple scales. When the nonlinear effects are of the same order with the coupling ones a completely different picture emerges, since nonlinear resonance interactions are unavoidable. As a result, infinite families of strongly and weakly localized nonlinear standing waves appear with frequencies lying in pass or stop bands of the corresponding linear periodic medium. Moreover, in the limit of weak coupling these solutions develop sensitive dependence on initial conditions, and the possibility of spatial chaos in the system exists. Some additional results on chaotic dynamics in linear periodic media with strongly nonlinear disorders are reviewed.

scholarly journals Traveling Waves in Visual Cortex

Neuron ◽  
2012 ◽  
Vol 75 (2) ◽  
pp. 218-229 ◽  
Author(s):  
Tatsuo K. Sato ◽  
Ian Nauhaus ◽  
Matteo Carandini
Keyword(s):  
Visual Cortex ◽  
Traveling Waves

scholarly journals Suppressive Traveling Waves Shape Representations of Illusory Motion in Primary Visual Cortex of Awake Primate

2019 ◽  
Vol 39 (22) ◽  
pp. 4282-4298 ◽  
Author(s):  
Sandrine Chemla ◽  
Alexandre Reynaud ◽  
Matteo di Volo ◽  
Yann Zerlaut ◽  
Laurent Perrinet ◽  
...  
Keyword(s):  
Visual Cortex ◽  
Primary Visual Cortex ◽  
Traveling Waves ◽  
Illusory Motion ◽  
Shape Representations

scholarly journals Traveling waves of activity in primary visual cortex during binocular rivalry

2004 ◽  
Vol 8 (1) ◽  
pp. 22-23 ◽  
Author(s):  
Sang-Hun Lee ◽  
Randolph Blake ◽  
David J Heeger
Keyword(s):  
Visual Cortex ◽  
Primary Visual Cortex ◽  
Traveling Waves ◽  
Binocular Rivalry
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