How to Pare a Pair: Topology Control and Pruning in Intertwined Complex Networks
Felix Kramer, Carl D. Modes

TL;DR
This paper extends a 3D coupled network model to study how spatial and flow fluctuations influence the topology and structure of complex biological networks, revealing new scaling laws and a modified Murray's law.
Contribution
It introduces an advanced coupled network model that captures the effects of spatial coupling and flow fluctuations on network topology and proposes a new geometric law for vessel interactions.
Findings
Coupled networks control topological complexity onset.
Flow fluctuations and spatial coupling induce topology transitions.
Derived a modified Murray's law incorporating local interactions.
Abstract
Recent work on self-organized remodeling of vasculature in slime-mold, leaf venation systems and vessel systems in vertebrates has put forward a plethora of potential adaptation mechanisms. All these share the underlying hypothesis of a flow-driven machinery, meant to alter rudimentary vessel networks in order to optimize the system's dissipation, flow uniformity, or more, with different versions of constraints. Nevertheless, the influence of environmental factors on the long-term adaptation dynamics as well as the networks structure and function have not been fully understood. Therefore, interwoven capillary systems such as found in the liver, kidney and pancreas, present a novel challenge and key opportunity regarding the field of coupled distribution networks. We here present an advanced version of the discrete Hu--Cai model, coupling two spatial networks in 3D. We show that spatial…
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