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Topological Phase Transitions in Functional Brain Networks

 Dr Fernando Nobrega Santos 

 28 April 2022

#CNStalk

Functional brain networks are often constructed by quantifying correlations between time series of activity of brain regions. Their topological structure includes nodes, edges, triangles, and even higher-dimensional objects. Topological data analysis (TDA) is the emerging framework to process data sets under this perspective. In parallel, topology has proven essential for understanding fundamental questions in physics. Here we report the discovery of topological phase transitions in functional brain networks by merging concepts from TDA, topology, geometry, physics, and network theory. We show that topological phase transitions occur when the Euler entropy has a singularity, which remarkably coincides with the emergence of multidimensional topological holes in the brain network. The geometric nature of the transitions can be interpreted, under certain hypotheses, as an extension of percolation to high-dimensional objects. Due to the universal character of phase transitions and noise robustness of TDA, our findings open perspectives toward establishing reliable topological and geometrical markers for group and possibly individual differences in functional brain network organization.

Join us live on Zoom  - Meeting ID: 895 8114 6322 / Passcode: CNS

Zoom Link : https://us02web.zoom.us/j/89581146322?pwd=QWp1a0ZqZ1I2bk9OUktDOVMrd3BKQT09

UPCOMING EVENTS

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Mapping brain function with ultra-high field MRI

Dr Wietske van der Zwaag

30 June 2022

#CNStalk

https://www.spinozacentre.nl/

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Involvement of the cerebellum in motor and emotional learning

Dr Dagmar Timmann

29 September 2022

#CNStalk

https://neurologie.uk-essen.de/experimentelle-neurologie/

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Finding the network balance in Parkinson’s hallucinations

Dr Angeliki Zarkali

24 November 2022

#CNStalk

https://twitter.com/Angelika_Za