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
Neuron ◽  
2007 ◽  
Vol 55 (1) ◽  
pp. 103-117 ◽  
Author(s):  
Andrea Benucci ◽  
Robert A. Frazor ◽  
Matteo Carandini

2020 ◽  
Vol 6 (32) ◽  
pp. eaay7682
Author(s):  
Sayak Bhattacharya ◽  
Tatsat Banerjee ◽  
Yuchuan Miao ◽  
Huiwang Zhan ◽  
Peter N. Devreotes ◽  
...  

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.


Author(s):  
Alexander Vakakis

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.


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

2019 ◽  
Vol 39 (22) ◽  
pp. 4282-4298 ◽  
Author(s):  
Sandrine Chemla ◽  
Alexandre Reynaud ◽  
Matteo di Volo ◽  
Yann Zerlaut ◽  
Laurent Perrinet ◽  
...  

2004 ◽  
Vol 8 (1) ◽  
pp. 22-23 ◽  
Author(s):  
Sang-Hun Lee ◽  
Randolph Blake ◽  
David J Heeger

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