رحیم رحمتی اصغر

In this talk, I deal with to applications of computational homology in biological systems. One of the most promising applications of homology to the understanding of biological systems is that of persistent homology. The key bene ts of using this method to describe data include coordinate-free descrip- tion of shape, robustness in the presence of noise and invariance under many transformations, as well as highly compressed representations of structures. Recently, several applications of tools from algebraic topology to analyze complex biological data from the domain of cancer research have been reported. In this talk, I describe some methods which are used nowadays in progression analysis of cancer. I imply how the homological properties of simplicial com- plexes give information about progression of a sarcoma.