Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis.

ABSTRACT: Angiogenesis is the process by which blood vessels form from pre-existing vessels. It plays a key role in many biological processes, including embryonic development and wound healing, and contributes to many diseases including cancer and rheumatoid arthritis. The structure of the resulting vessel networks determines their ability to deliver nutrients and remove waste products from biological tissues. Here we simulate the Anderson-Chaplain model of angiogenesis at different parameter values and quantify the vessel architectures of the resulting synthetic data. Specifically, we propose a topological data analysis (TDA) pipeline for systematic analysis of the model. TDA is a vibrant and relatively new field of computational mathematics for studying the shape of data. We compute topological an

SUBMITTER: Nardini JT 

PROVIDER: S-EPMC8270459 | biostudies-literature | 2021 Jun

REPOSITORIES: biostudies-literature