000181041 001__ 181041
000181041 005__ 20180913061530.0
000181041 02470 $$2ISI$$a000306332300002
000181041 0247_ $$2doi$$a10.1103/PhysRevE.86.011909
000181041 037__ $$aARTICLE
000181041 245__ $$aNon-normal amplification in random balanced neuronal networks
000181041 269__ $$a2012
000181041 260__ $$c2012
000181041 336__ $$aJournal Articles
000181041 520__ $$aIn dynamical models of cortical networks, the recurrent connectivity can amplify the input given to the network in two distinct ways. One is induced by the presence of near-critical eigenvalues in the connectivity matrix W, producing large but slow activity fluctuations along the corresponding eigenvectors (dynamical slowing). The other relies on W not being normal, which allows the network activity to make large but fast excursions along specific directions. Here we investigate the trade-off between non-normal amplification and dynamical slowing in the spontaneous activity of large random neuronal networks composed of excitatory and inhibitory neurons. We use a Schur decomposition of W to separate the two amplification mechanisms. Assuming linear stochastic dynamics, we derive an exact expression for the expected amount of purely non-normal amplification. We find that amplification is very limited if dynamical slowing must be kept weak. We conclude that, to achieve strong transient amplification with little slowing, the connectivity must be structured. We show that unidirectional connections between neurons of the same type together with reciprocal connections between neurons of different types, allow for amplification already in the fast dynamical regime. Finally, our results also shed light on the differences between balanced networks in which inhibition exactly cancels excitation and those where inhibition dominates.
000181041 700__ $$0242037$$aHennequin, Guillaume$$g178090
000181041 700__ $$0247386$$aVogels, Tim$$g198887
000181041 700__ $$0240007$$aGerstner, Wulfram$$g111732
000181041 773__ $$j86$$k1$$q011909$$tPhys. Rev. E
000181041 8564_ $$s1098080$$uhttps://infoscience.epfl.ch/record/181041/files/e011909.pdf$$yn/a$$zn/a
000181041 909C0 $$0252006$$pLCN
000181041 909CO $$ooai:infoscience.tind.io:181041$$particle$$pSV$$pIC
000181041 917Z8 $$x180892
000181041 937__ $$aEPFL-ARTICLE-181041
000181041 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000181041 980__ $$aARTICLE