Looping Network Meetings
#48 February 26, 2024
Monday, 15:00 CET
Nate James Cira
Structure, motion, and multiscale search of traveling networks
Abstract:
Network models play a role in understanding properties like connectivity and flow in diverse systems. Far less explored are networks where dynamic restructuring causes the network to travel from one location to another in space. In this talk I'll investigate a simple model of a "traveling network" based on a tree on which the leaves are stochastically manipulated to grow, branch, and retract, while the sum of all edge lengths is conserved. Various aspects of the network structure and motion can be derived from the underlying restructuring rates and assumptions leading to a tradeoff between global and local search. Self-organization of the network at the critical point between exponential growth and decay enables sensitive response to environmental gradients. I'll discuss how natural and artificial systems such as slime molds, the actin cytoskeleton, and human organizations can be thought of as "traveling networks" at different length and timescales.
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