Given a Poisson process on a d-dimensional torus, its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are give...
In clinical applications where structural asymmetries between homologous shapes have been correlated with pathology, the questions of definition and quantification of ‘asymmetr...
Nicholas A. Lord, Jeffrey Ho, Baba C. Vemuri, Step...
With the explosive growth of proteomic and expression data of homologous genes, it becomes necessary to explore new methods to visualize and analyze related gene expression data t...
Li Jin, Karl V. Steiner, Carl J. Schmidt, Keith...
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Background: This work addresses the problem of detecting conserved transcription factor binding sites and in general regulatory regions through the analysis of sequences from homo...