| Impact of neuronal dynamics on anatomical organization of the cerebral cortex.J.J. Wright, D.M. Alexander and 
P.D. Bourke.
9th Tamagawa Dynamic Brain Forum - DBF, Nov 2005
 
 
Abstract 
 
Action potential and local field activity in the gamma frequency range plays a 
major part in information processing in the alert state, and synchronous oscillation at 
gamma frequencies is believed to bind transient assemblies of neurones together in 
functional coalitions. The interaction of âspike-and-waveâ dynamics with 
synaptic dynamics has been little considered.
Analytic and simulation considerations show that synchronous oscillation can act in 
concert with Hebbian synaptic modification to give rise to anatomically realistic 
features of the visual cortex (V1). From random lateral connections which decline in 
synaptic density with distance from the soma of origin, and which are distributed with 
terminal arborizations of approximately 300 micron dimension, evolution of synaptic 
strengths under organization by synchronous oscillation proceeds to a stable state in 
which all synapses are either saturated, or have minimum pre/post-synaptic coincidence. 
The most stable configuration gives rise to âlocal mapsâ, each of macro-columnar 
size, and each organised as Möbius projections of retinotopic space. A tiling of V1, 
constructed of approximately mirror-image reflections of each local map by its 
neighbours is formed, accounting for orientation-preference singularities, linear 
zones and saddle points  - with each map linked by connections between sites of 
common orientation preference. Ocular dominance columns are partly explained as a 
special case of the same process. The occurrence of direction preference fractures 
always in odd numbers around singularities, and effects of stimulus velocity, 
orientation relative to direction of motion, and extension, upon orientation 
preference are thus explained.
 This model appears applicable outside the context of V1.
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