Your Mind Is Eight-Dimensional - Your Brain as Math Part 3 | Infinite Series

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How Algebraic topology can help us unlock the connection between neurological structure and function. This is Part 3 in our Your Brain as Math mini-series.
Check out Part 1 here: https://www.youtube.com/watch?v=M0M3srBoTkY
Check out Part 2 here: https://www.youtube.com/watch?v=rlI1KOo1gp4

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Previous Episode
Simplicial Complexes - Your Brain as Math - Part 2
https://www.youtube.com/watch?v=rlI1KOo1gp4

Last episode, we learned that your brain can be modeled as a simplicial complex. And algebraic topology can tell us the Betti numbers of that simplicial complex. Why is that helpful? Let’s find out.

Written and Hosted by Kelsey Houston-Edwards
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow
Made by Kornhaber Brown (www.kornhaberbrown.com)

Resources:

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function
http://journal.frontiersin.org/article/10.3389/fncom.2017.00048/full

The Blue Brain Project:
http://bluebrain.epfl.ch/

Barcodes: The Persistent Topology of Data
https://www.math.upenn.edu/~ghrist/preprints/barcodes.pdf

Network Neuroscience
http://www.nature.com/neuro/journal/v20/n3/full/nn.4502.html

Algebraic Topology
https://www.math.cornell.edu/~hatcher/AT/ATpage.html

Special thanks to Professor Kathryn Hess and Mathematician Florian Frick!

Special thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level!

And thanks to Mauricio Pacheco who is supporting us at the Lemma level!