Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of global synchronization in directed excitatory networks of
  type I neurons   The collective behaviour of neural networks depends on the cellular and
synaptic properties of the neurons. The phase-response curve (PRC) is an
experimentally obtainable measure of cellular properties that quantifies the
shift in the next spike time of a neuron as a function of the phase at which
stimulus is delivered to that neuron. The neuronal PRCs can be classified as
having either purely positive values (type I) or distinct positive and negative
regions (type II). Networks of type 1 PRCs tend not to synchronize via mutual
excitatory synaptic connections. We study the synchronization properties of
identical type I and type II neurons, assuming unidirectional synapses.
Performing the linear stability analysis and the numerical simulation of the
extended Kuramoto model, we show that feedforward loop motifs favour
synchronization of type I excitatory and inhibitory neurons, while feedback
loop motifs destroy their synchronization tendency. Moreover, large directed
networks, either without feedback motifs or with many of them, have been
constructed from the same undirected backbones, and a high synchronization
level is observed for directed acyclic graphs with type I neurons. It has been
shown that, the synchronizability of type I neurons depends on both the
directionality of the network connectivity and the topology of its undirected
backbone. The abundance of feedforward motifs enhances the synchronizability of
the directed acyclic graphs.

33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga