This course aims to illustrate how fundamentals of toplogical data analysis (TDA) are applied to important research problems in computational biology. We will present the theoretical foundations of TDA and genomics, and provide real research case studies of the successful application of TDA to solve problems in cancer genomics and RNA viral evolution. For more information, contact Anthea Monod, am4691@cumc.olumbia.edu. 

Schedule: Monday Jan. 29, 2018 - Friday, Feb. 2, 2018

9:00 a.m. to 12:00 p.m., and 2:00 p.m. to 5:00 p.m.

Department of Systems Biology Course Catalog BINF GR 4007

Syllabus:

Introduction to Point Set Topology

Simplices and Simplicial Complexes

Homology and Simplicial Homology

Persistent Homology

Computing Persistence

Mapper

An Application of Mapper to HIV Drug Resistance Profiling

Tree Spaces, Phylogenetics, and Viral Evolution

Single Cell Genomics

Biomedical Imaging Informatics