TY - JOUR
T1 - Complex patterns in networks of hyperexcitable neurons
AU - Schindewolf, Craig
AU - Kim, Dongwook
AU - Bel, Andrea
AU - Rotstein, Horacio G.
N1 - Funding Information:
This work was partially funded by the NSF grant DMS-1313861 (HGR) and a travel grant awarded by Universidad Nacional del Sur (Bahía Blanca, Buenos Aires, Argentina) to AB (Res. CSU-749/13 and PGI 24/L085 ).
Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2016/6/20
Y1 - 2016/6/20
N2 - Complex patterns in neuronal networks emerge from the cooperative activity of the participating neurons, synaptic connectivity and network topology. Several neuron types exhibit complex intrinsic dynamics due to the presence of nonlinearities and multiple time scales. In this paper we extend previous work on hyperexcitability of neuronal networks, a hallmark of epileptic brain seizure generation, which results from the net imbalance between excitation and inhibition and the ability of certain neuron types to exhibit abrupt transitions between low and high firing frequency regimes as the levels of recurrent AMPA excitation change. We examine the effect of different topologies and connection delays on the hyperexcitability phenomenon in networks having recurrent synaptic AMPA (fast) excitation (in the absence of synaptic inhibition) and demonstrate the emergence of additional time scales.
AB - Complex patterns in neuronal networks emerge from the cooperative activity of the participating neurons, synaptic connectivity and network topology. Several neuron types exhibit complex intrinsic dynamics due to the presence of nonlinearities and multiple time scales. In this paper we extend previous work on hyperexcitability of neuronal networks, a hallmark of epileptic brain seizure generation, which results from the net imbalance between excitation and inhibition and the ability of certain neuron types to exhibit abrupt transitions between low and high firing frequency regimes as the levels of recurrent AMPA excitation change. We examine the effect of different topologies and connection delays on the hyperexcitability phenomenon in networks having recurrent synaptic AMPA (fast) excitation (in the absence of synaptic inhibition) and demonstrate the emergence of additional time scales.
KW - Neuronal networks
KW - Synchronization
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U2 - 10.1016/j.tcs.2015.05.051
DO - 10.1016/j.tcs.2015.05.051
M3 - Article
AN - SCOPUS:84969497724
SN - 0304-3975
VL - 633
SP - 71
EP - 82
JO - Theoretical Computer Science
JF - Theoretical Computer Science
ER -