Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The role of node dynamics in shaping emergent functional connectivity
  patterns in the brain   The contribution of structural connectivity to functional brain states
remains poorly understood. We present a mathematical and computational study
suited to assess the structure--function issue, treating a system of
Jansen--Rit neural-mass nodes with heterogeneous structural connections
estimated from diffusion MRI data provided by the Human Connectome Project. Via
direct simulations we determine the similarity of functional (inferred from
correlated activity between nodes) and structural connectivity matrices under
variation of the parameters controlling single-node dynamics, highlighting a
non-trivial structure--function relationship in regimes that support limit
cycle oscillations. To determine their relationship, we firstly calculate
network instabilities giving rise to oscillations, and the so-called `false
bifurcations' (for which a significant qualitative change in the orbit is
observed, without a change of stability) occurring beyond this onset. We
highlight that functional connectivity (FC) is inherited robustly from
structure when node dynamics are poised near a Hopf bifurcation, whilst near
false bifurcations, structure only weakly influences FC. Secondly, we develop a
weakly-coupled oscillator description to analyse oscillatory phase-locked
states and, furthermore, show how the modular structure of FC matrices can be
predicted via linear stability analysis. This study thereby emphasises the
substantial role that local dynamics can have in shaping large-scale functional
brain states.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys