Dresden 2014 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 13: Poster - Glasses / Stat. Phys. Bio. / Networks (joint session DY/BP/CPP/SOE)
DY 13.33: Poster
Tuesday, April 1, 2014, 09:30–12:30, P1
Architecture of biologically inspired adaptive transport networks — •Johannes Gräwer1, Carl Modes2, Marcelo O. Magnasco2, and Eleni Katifori1 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Laboratory of Mathematical Physics, The Rockefeller University, New York, NY, USA
We study self-organized adaptation mechanisms of biologically inspired transport networks (e.g. plasmodial veins of slime moulds). Therefore, evolving network architectures are simulated using a generic dynamical system and weighted graphs. The graphs' edges represent tubes with Hagen-Poiseuille flow, connected through junctions, represented by their nodes. A local update rule, that changes the conductivity of the tubes (edge weights) according to the flow through them, is used as a self-organizing adaptation principle. We model these interrelated transportation and adaptation processes on paradigmatic complex network topologies (e.g. Watts-Strogatz, Barabási-Albert, Erdös-Rényi) with random initial edge weights. We examine the adaptation dynamics and find, that it exhibits discrete, cascade reorganization events until the network reaches a hierarchically organized state.