Invariance property of mean path length of bacterial trajectories in structured environments

Anno
2018
Proponente -
Struttura
Sottosettore ERC del proponente del progetto
Componenti gruppo di ricerca
Abstract

Swimming bacteria are the paradigmatic example of biological self propelled particles. These systems show many interesting phenomena such as enhanced transport and rectification but it is hard to predict their behavior when they move in complex and disordered environments such as those encountered in real-life situations (e.g soil, biological tissues, etc.).
The present project aims to the systematic experimental investigation of swimming bacteria in disordered environments fabricated by soft lithography. The experiments will test a fundamental invariance theorem for random walks in bounded domains. The theorem predicts that the average length of the path in the domain, from entrance to exit, depends only on the ratio between the surface and the perimeter of the domain. This theorem was inspired by studies on ants, however its first experimental demonstration appeared only recently for photons in strongly scattering media (Savo et al., Science 2017). Our preliminary results show that the theorem is valid also for bacteria freely swimming on a surface. We want to exploit this universal property as a starting point to understand the behavior of bacteria swimming through a domain patterned with random obstacles. This will let us to expand the statistical mechanics of active matter tackling the problem of self-propelled particles in complex environments.

ERC
PE3_13, PE3_16
Keywords:
MECCANICA STATISTICA, APPLICAZIONI BIOLOGICHE DELLA FISICA, BIOFISICA

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