Channel: PBS Infinite Series

Category: Education

Tags: infinite seriesalgebraicpbsmindmathematicsmathstopologyneurosciencedigital-brainalgebraabstractbrainmathematicianneuronsnetworkmicrocircuitryprocessinginformationmath

Description: Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: to.pbs.org/donateinfi What does your brain look like when it's broken down mathematically? And what can this tell us? This is Part 1 in our Your Brain as Math mini-series. Check out Part 2 here: youtube.com/watch?v=rlI1KOo1gp4 Check out Part 3 here: youtube.com/watch?v=akgU8nRNIp0 Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Stochastic Supertasks youtube.com/watch?v=Sdp_V0L99sw In order to dive deeper into an exciting topic, we're mixing up the format. Over the next three days, we’ll spend the next three episodes exploring an incredible application of seemingly purely-abstract mathematics: how algebraic topology can help us decode the connections among neurons in our brains, to help us understand their function. 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 (kornhaberbrown.com) Resources: Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function journal.frontiersin.org/article/10.3389/fncom.2017.00048/full The Blue Brain Project bluebrain.epfl.ch Barcodes: The Persistent Topology of Data math.upenn.edu/~ghrist/preprints/barcodes.pdf Network Neuroscience nature.com/neuro/journal/v20/n3/full/nn.4502.html Algebraic Topology math.cornell.edu/~hatcher/AT/ATpage.html Special thanks to Kathryn Hess and Florian Frick! Comments answered by Kelsey: Vriskanon youtube.com/watch?v=Sdp_V0L99sw&lc=z22ic1ehnlqhi3g4g04t1aokgo4wjichzrqe5sqovhw4rk0h00410 Challenge Winner : Florence B 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!