2017-08-24

[public] 255K views, 8.36K likes, 146 dislikes audio only

PBS 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: /youtube/video/M0M3srBoTkY

Check out Part 2 here: /youtube/video/rlI1KOo1gp4

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Previous Episode

Simplicial Complexes - Your Brain as Math - Part 2

/youtube/video/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 Kathryn Hess and 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!