A Computational Exploration of Run-and-Tumble Movement in Restricted Spaces

DARIO JAVIER ZAMORA; ROBERTO ARTUSO

Kranjska Gora

Congreso; 49th conference of the Middle European Cooperation in Statistical Physics; 2024

Our research focuses on employing random walks and run-and-tumble models as tools to describe and predict the movement patterns in heterogeneous and closed environments.Run-and-tumble movement in confined settings has far-reaching implications, spanning from fundamental mathematical insights such as the mean chord theorem to practical applications in environmental science, biology, medicine, and ecology. It provides a foundation for predicting and controlling the behavior of particles or agents in diverse and constrained environments, with potential benefits for various scientific and technological domains [1].The mean chord theorem states that the mean path length of ballistic trajectories randomly crossing a domain only depend on the ratio between the region area and its perimeter. This theorem has been recently generalized for non-convex domains and extended to the case of Brownian motion to find many applications in various fields including biological locomotion [2]. We show in which cases this theorem is verified and perform a comprehensive statistical analysis of the run-and-tumble movement. The results are linked to experimental behaviour of bacteria movement