Looping Network Meetings
#35 December 16, 2022
Monday, 15:00 CET
Stanisław Żukowski
Finger revival and reconnections near breakthrough in unstable growth processes
Abstract:
Transport networks, such as vasculature or river networks, provide key functions in organisms and the environment. They often emerge as a result of unstable growth processes, in which growing branches compete for the available flux. This leads to effective repulsion between the branches and screening of the shorter ones. We show that a striking transition in growth dynamics takes place as the leading branch reaches the boundary of the system. The shorter branches revive then and grow toward the leading one forming loops. These effects are observed both in living and inanimate systems.
Head image credits (from top left):
(1) Corentin Bisot and Loreto Oyarte Galvez,
(2) Claire Lagesse,
(3) Stéphane Douady,
(4) Stanisław Żukowski,
(5) Przemysław Prusinkiewicz,
(6) Andrea Perna,
(7) John Shaw (Google Earth),
(8) Justin Tauber,
(9) Marc Durand.
Contact: s.zukowski [at] uw.edu.pl