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 Support us on Patreon at https://www.patreon.com/pbsinfiniteseries Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com 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 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!.
2017 Aug 24, 06:08:07