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Network Dynamics and Adaptability – katifori

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We study a model for flow networks with edges that display non-linear conductance and with nodes that allow for internal accumulation/depletion of volume. We observe emerging dynamics in the form of self-sustained waves which travel through the system under constant boundary conditions. These spontaneous fluctuations persist after drastically changing the topology of the network and the boundary conditions. We show that the dependence of the frequency of the spontaneous fluctuations on different changes of the structure of the network can be explained by a unique topological measure. (in preparation) Complex distribution networks are pervasive in biology. Examples include nutrient transport in the slime mold Physarum polycephalum as well as mammalian and plant venation. Adaptive rules are believed to guide development of these networks and lead to a reticulate, hierarchically nested topology that is both efficient and resilient against perturbations. However, as of yet no mechanism is

Network Dynamics and Adaptability – katifori Network Dynamics and Adaptability Spontaneous oscillations in non-linear networks We study a model for flow networks with edges that display non-linear conductance and with nodes that allow for internal accumulation/depletion of volume. We observe emerging dynamics in the form of self-sustained waves which travel through the system under constant boundary conditions. These spontaneous fluctuations persist after drastically changing the topology of the network and the boundary conditions. We show that the dependence of the frequency of the spon

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