Completed
Algebraic Graph Theory for Biomolecules
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
How Math and AI Are Revolutionizing Biosciences
Automatically move to the next video in the Classroom when playback concludes
- 1 Intro
- 2 COVID-19 demonstrates the importance of biosciences
- 3 Challenges of AI in biomolecular systems Geometric dimensionality where N-5000 for a protein.
- 4 Two schools of thinking
- 5 Our Strategy
- 6 Classical Topology Mobius Strips (1858) Klein Bottle (1882)
- 7 Topological invariants: Betti numbers
- 8 Vietoris-Rips complexes of planar point sets
- 9 Algebraic Topology Vietoris-Rips complexes, persistent homology and topological fingerprint
- 10 Topological fingerprints of an alpha helix
- 11 Persistent cohomology incorporating non-geometric information in topology
- 12 Differential geometry based minimal surface model
- 13 Differential Geometry (Connections & curvature forms) Gauss Mean
- 14 De Rham-Hodge theory and discrete exterior calculus Hodge decomposition
- 15 Evolutionary de Rham-Hodge Filtration of a manifold
- 16 Algebraic Graph Theory for Biomolecules
- 17 Persistent Spectral Graph (Persistent Laplacian)
- 18 Mathematical deep learning
- 19 Drug Design Data Resource (D3R) Grand Challenges
- 20 Life cycle of SARS-CoV-2 in host cells
- 21 Mutation Tracker
- 22 Mutations Strengthened SARS
- 23 We predicted key mutation sites in prevailing variants Mutations at 501 and 452 in prevailing SARS-CoV-2 variants
- 24 We discovered the mechanism of viral transmission and evolution
- 25 Mutation-induced binding free energy changes for spike protein-ACE-2 complex (more infectious)
- 26 Genome-Math-Al modeling of protein-protein binding affinity changes following mutations
- 27 Atlas of emerging variants
- 28 Geometric Differential topology topology
