Department of Applied Chemicals and Materials, Ulster University, Northern Ireland, UK
Mini Review
Multiscale Coordination Dynamics Topological Portraits
Author(s): William Kalie*
On multiple spatiotemporal scales, living systems exhibit complex yet organised behaviour. To investigate the nature of multiscale coordination in
living systems, a meaningful and systematic method of quantifying the complex dynamics is required, which is a challenge in both theoretical and
empirical domains. The current work demonstrates how combining approaches from computational algebraic topology and dynamical systems
can assist us in meeting this challenge. We concentrate on the application of multiscale topological analysis to coordinated rhythmic processes in
particular. First, theoretical arguments are presented to demonstrate why certain topological features and their scale dependency are critical for
comprehending complex collective dynamics. Second, we propose using persistent homology to capture such dynamically relevant topological
information... Read More»
DOI:
10.37421/1736-4337.2022.16.353
Spanish 
Chinese 
Russian 
German 
French 
Japanese 
Portuguese 
Hindi 