510
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Effect of network topology on neuronal encoding based on spatiotemporal patterns of spikes

&
Pages 153-163 | Received 20 Nov 2009, Accepted 22 Mar 2010, Published online: 07 Sep 2010

References

  • Abeles , M . 1991 . Corticonics , Cambridge : Cambridge University Press .
  • Abeles , M , Vaadia , E , Bergman , H , Prut , Y , Haalman , I and Slovin , H . 1993 . “Dynamics of neuronal interactions in the frontal cortex ofbehaving monkeys.” . Concepts Neurosci , 4 : 131 – 158 .
  • Attwell , D and Laughlin , SB . 2001 . “An energy budget for signalling in the grey matter of the brain.” . J. Cereb. Blood Flow Metab. , 21 : 1133 – 1145 .
  • Bassett , D and Bullmore , E . 2006 . “Small‐world brain networks.” . Neuroscientist , 12 : 512 – 523 .
  • Beggs , JM and Plenz , D . 2003 . “Neuronal avalanches in neocortical circuits.” . J. Neurosci. , 23 ( 111 ) : 67 – 11177 .
  • Beggs , JM and Plenz , D . 2004 . “Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures.” . J. Neurosci. , 24 : 5216 – 5229 .
  • Bienenstock , E . 1995 . “A model of neocortex.” . Networks , 6 : 179 – 224 .
  • Bohland , JW and Minai , AA . 2001 . “Efficient associative memory using small‐world architecture.” . Neurocomputing , : 38 – 40 . 489 – 496 .
  • Braitenberg , V and Schuz , A . 1991 . Anatomy of the Cortex: Statistics and Geometry , Berlin : Springer .
  • Butz , M , Wörgötter , F and van Ooyen , A . 2009 . “Activity‐dependent structural plasticity.” . Brain Res. Rev. , 60 : 287 – 305 .
  • Buzsaki , G , Llinas , R , Singer , W , Berthoz , A and Christen , Y . 1994 . Temporal Coding in the Brain , New York : Springer .
  • Caporale , N and Dan , Y . 2008 . “Spike timing‐dependent plasticity: a hebbian learning rule.” . Annu. Rev. Neurosci. , 31 : 25 – 46 .
  • Chang , E , Morris , K , Shannon , R and Lindsey , B . 2000 . “Repeated sequences of interspike intervals in baroresponsive respiratory related neuronal assemblies of the cat brain stem.” . J. Neurophysiol. , 84 : 1136 – 1148 .
  • Diesmann , M , Gewaltig , MO and Aertsen , A . 1999 . “Stable propagation of synchronous spiking in cortical neural networks.” . Nature (London) , 402 : 529 – 533 .
  • Fagiolo , G . 2007 . “Clustering in complex directed networks.” . Phys. Rev. E , 76 : 026107
  • Hellwig , B . 2000 . “A quantitative analysis of the local connectivity between pyramidal neurons in layers 2/3 of the rat visual cortex.” . Biol. Cybern. , 82 : 111 – 121 .
  • Hopfield , J . 1995 . “Pattern recognition computation using action potential timing for stimulus representation.” . Nature (London) , 376 : 33 – 36 .
  • Humphries , M , Gurney , K and Prescott , T . 2006 . “The brainstem reticular formation is a small world, not scale‐free, network.” . Proc. R. Soc. London, Ser. B , 273 : 503 – 511 .
  • Ikegaya , Y , Aaron , G , Cossart , R , Aronov , D , Lampl , I , Ferster , D and Yuste , R . 2004 . “Synfire chains and cortical songs: temporal modules of cortical activity.” . Science , 304 : 559 – 564 .
  • Izhikevich , E . 2003 . “Simple model of spiking neurons.” . IEEE Trans. Neural Netw. , 14 : 1569 – 1572 .
  • Izhikevich , E . 2004 . “Which model to use for cortical spiking neurons?” . IEEE Trans. Neural Netw. , 15 : 1063 – 1070 .
  • Izhikevich , E . 2006 . “Polychronization: computation with spikes.” . Neural Comput. , 18 : 245 – 282 .
  • Izhikevich , E , Gally , J and Edelman , G . 2004 . “Spike‐timing dynamics of neuronal groups.” . Cereb. Cortex , 14 : 933 – 944 .
  • Leicht , EA and Newman , MEJ . 2008 . “Community structure in directed networks.” . Phys. Rev. Lett. , 100 : 118703
  • Lindsey , B , Morris , K , Shannon , R and Gerstein , G . 1997 . “Repeated patterns of distributed synchrony in neuronal assemblies.” . J. Neurophysiol. , 78 : 1714 – 1719 .
  • Mao , BQ , Hamzei‐Sichani , F , Aronov , D , Froemke , RC and Yuste , R . 2001 . “Dynamics of spontaneous activity in neocortical slices.” . Neuron , 32 : 883 – 898 .
  • Miller , R . 1996 . “Neural assemblies and laminar interactions in the cerebral cortex.” . Biol. Cybern. , 75 : 253 – 261 .
  • Morelli , LG , Abramson , G and Kuperman , MN . 2004 . “Finding and evaluating community structure in networks.” . Eur. Phys. J. B , 38 : 495 – 500 .
  • Prut , Y , Vaadia , E , Bergman , H , Haalman , I , Slovin , H and Abeles , M . 1998 . “Spatio‐temporal structure of cortical activity, properties and behavioral relevance.” . J. Neurophysiol. , 79 : 2857 – 2874 .
  • Reijneveld , J , Ponten , S , Berendse , H and Stam , CJ . 2007 . “The application of graph theoretical analysis to complex networks in the brain.” . Clin. Neurophysiol. , 118 : 2317 – 2331 .
  • Song , S , Miller , KD and Abbott , LF . 2000 . “Competitive hebbian learning through spike‐timing‐dependent synaptic plasticity.” . Nat. Neurosci. , 3 : 919 – 926 .
  • Song , S , Sjöström , PS , Reigl , M , Nelson , S and Chklovskii , DB . 2005 . “Highly nonrandom features of synaptic connectivity in local cortical circuits.” . PLoS Biol. , 3 : 507 – 519 .
  • See supplementary material at http://dx.doi.org/10.2976/1.3386761. Supplementary information touches on the following topics: (1) details of the neuron model used; (2) the performance of WS networks as a function of the rewiring parameter; (3) the effect of stimulus delocalization on WS and modular networks over the whole range of degradation of the recall cue; (4) details on how Fig. 6 was obtained; (5) the performance of ER random networks with increasing connectivity; and (6) the effect of STDP on network topology.
  • Swadlow , HA . 1985 . “Physiological properties of individual cerebral axons studied in vivo for as long as one year.” . J. Neurophysiol. , 54 : 1346 – 1362 .
  • Swadlow , HA . 1994 . “Efferent neurons and suspected interneurons in motor cortex of the awake rabbit: axonal properties, sensory receptive fields, and subthreshold synaptic inputs.” . J. Neurophysiology , 71 : 437 – 453 .
  • van den Heuvel , M , Stam , CJ , Kahn , RS and Hulshoff , HE . 2009 . “Efficiency of functional brain networks and intellectual performance.” . J. Neurosci. , 29 : 7619 – 7624 .
  • Villa , A , Tetko , I , Hyland , B and Najem , A . 1999 . “Spatiotemporal activity patterns of rat cortical neurons predict responses in a conditioned task.” . Proc. Natl. Acad. Sci. U.S.A. , 96 : 1106 – 1 . 111
  • Volman , V , Baruchi , I and Ben‐Jacob , E . 2005 . “Manifestation of function‐follow‐form in cultured neuronal networks.” . Phys. Biol. , 2 : 98 – 110 .
  • Watts , D and Strogatz , S . 1998 . “Collective dynamics of'small‐world’ networks.” . Nature (London) , 393 : 440 – 442 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.