graph theory

Network neuroscience
Graphs
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G = (V, E)
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wikipeia, social, transportation
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brains, multiple scales
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between brains?
Why?
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conceptualization of problem (Euler’s bridge)
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common framework across scales
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graph theory tools
graph architectures
modular
small-world
clustering coefficient
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are your friends also friends?
regular, random, small-world
small-world
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“The neural network of the worm Caenorhabditis
elegans, the power grid of the western United
States, and the collaboration graph of film actors
are shown to be small-world networks.”
Watts & Strogatz, Nature 1998
modularity
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how well graph can be partitioned
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specialization + integration
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brain networks: intrinsically co-active regions
modular brain
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Brain is modular
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DMN: mPFC & PCC
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FPCN: lateral PFC & IPS
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network dynamics underlie cognition
memory and modularity
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brain exhibits lower modularity during successful
episodic retrieval
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FPCN-DMN increased connectivity during
successful recall
Westphal et al. 2017, J Nrsci
graph DIY
pipeline overview
step 1: define nodes
step 2: define edges
step 3: analyze graph
between subject methods
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basic paradigm: movie viewing
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use between subject correlations to study common
cognitive processes
ISFC vs FC
dynamic networks
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classification algorithm:
narrative segment given network configuration
dynamic networks
dynamic coupling discuss
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across brain graphs