Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 37: Networks: From Topology to Dynamics (joint session SOE/DY/BP) (joint session SOE/CPP/BP/DY)
DY 37.10: Vortrag
Mittwoch, 14. März 2018, 11:45–12:00, MA 001
Temporal networks with geometric constraints and protein folding — •Nora Molkenthin1, Marc Timme2,1, and Steffen Mühle3 — 1Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen — 2Chair for Network Dynamics, Center for Advancing Electronics Dresden (cfaed) and Institute for Theoretical Physics, TU Dresden, 01062 Dresden — 3Physics Department III, University of Göttingen, D-37077 Göttingen, Germany
The structure of many complex networks is highly constrained by geometric factors, affecting a broad range of systems from polymer aggregates to traffic and supply networks. On the microscopic scale, folding proteins constitute paradigmatic systems for spatial network formation. They are well characterized as Protein Residue Networks (PRN) yet their statistical properties seem to be diverse and general rules are largely unknown. Here, advancing a recent graph-theoretical mapping [1], we develop a temporal network model for the aggregation of connected, spatially extended units, thereby reproducing key features of PRN*s. In stark contrast to network models without geometric constraints, we observe algebraic scaling of the network diameter with system size and predict the characteristic link length distribution, both features fitting with those experimentally observed in PRN*s.
[1] Molkenthin & Timme, Scaling Laws in Spatial Network Formation, Phys. Rev. Lett. 117:168301 (2016)