Single-cell Trajectory Analysis with V-Mapper

Explore the innovative V-Mapper method for single-cell trajectory analysis in this 43-minute lecture presented by Yusuke Imoto at the Applied Algebraic Topology Network. Delve into the complexities of cell differentiation and gene expression changes, and discover how V-Mapper extends the Mapper topological data analysis method to incorporate velocity information. Learn how this advanced technique creates weighted directed graphs to simultaneously capture both topological structure and flow in high-dimensional gene expression data. Examine the application of V-Mapper to single-cell gene expression data for inferring cell differentiation trajectories, and understand how combinatorial Hodge decomposition enhances flow interpretation within V-Mapper graphs. Address the challenges posed by the curse of dimensionality in topological data analysis and explore proposed solutions to these issues.