Fluctuations and Redundancy in Optimal Transport Networks

Corson, Francis

doi:10.1103/physrevlett.104.048703

Cited by 184 publications

(218 citation statements)

References 19 publications

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“…The importance of γ as a control parameter has been widely discussed previously (see [9,15,16] and references therein), and γ = 1 has been identified as a transition point where the nature of the network (adaptive [9] or optimized [15,16]) qualitatively changes. A constant feedback function (γ = 0) uncouples the system of equations, leading to the same solution form C ij (t) for every edge in the network, independent of the flows:…”

Section: Dependence On Initial Conditionsmentioning

confidence: 99%

Structural self-assembly and avalanchelike dynamics in locally adaptive networks

et al. 2015

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Transport networks play a key role across four realms of eukaryotic life: slime molds, fungi, plants, and animals. In addition to the developmental algorithms that build them, many also employ adaptive strategies to respond to stimuli, damage, and other environmental changes. We model these adapting network architectures using a generic dynamical system on weighted graphs and find in simulation that these networks ultimately develop a hierarchical organization of the final weighted architecture accompanied by the formation of a system-spanning backbone. In addition, we find that the long term equilibration dynamics exhibit behavior reminiscent of glassy systems characterized by long periods of slow changes punctuated by bursts of reorganization events.

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Section: Dependence On Initial Conditionsmentioning

confidence: 99%

Structural self-assembly and avalanchelike dynamics in locally adaptive networks

et al. 2015

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“…In all cases, the morphology of the surfaces is dependent of the casting conditions and the composition of the alloy. By analogy, the two surfaces are similar to upper and to lower surfaces of a leaf that are considered as natural network associated to transport system and mechanical resilience [4][5][6]. The same description can be associated to the ribbon microstructures for instance the transport properties during the solidification of the melt and resilience in the solid state.…”

Section: Methodsmentioning

confidence: 99%

Microstructures of glassy alloys: presence of hills, valleys, and veins

Aboki

2011

EPJ Web of Conferences

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Abstract. Amorphous ribbon surfaces, wheel and free sides are peculiar, but no microstructural description is not yet proposed. Here, we introduce a new description of the two surfaces by analogy with biological organs like a leaf as a network of hills, valleys, and veins. The venation can help understand the transport properties like heat dissipation during ribbon processing and mechanical properties like resilience or tensile strength of the amorphous ribbon. The new microstructure presentation can be useful to describe the crystallization of glassy materials.

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“…Mesophyll cells are divided into small areas by fine veins called pellets. The transpiration of water in different parts of the leaves fluctuates with time, and thus, the transport of moisture in the veins also fluctuates [118]. However, due to the existence of multiple paths in the vein network and dimples on the vessel wall, the pressure field and nutrient concentration in the pores in which the mesophyll cells are located are nearly uniform.…”

Section: Cell Culturementioning

confidence: 98%

Recent biomedical applications of bio-sourced materials

Elbaz

Gao

et al. 2018

Bio-des. Manuf.

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Natural anisotropic nanostructures occurring in several organisms have gained more and more attention because of their obvious advantages in sensitivity, stability, security, miniaturization, portability, online use, and remote monitoring. Due to the development of research on nature-inspired bionic structures and the demand for highly efficient, low-cost microfabrication techniques, an understanding of and the ability to replicate the mechanism of structural coloration have become increasingly significant. These sophisticated structures have many unique functions and are used in many applications. Many sensors have been proposed based on their novel structures and unique optical properties. Several of these bio-inspired sensors have been used for infrared radiation/thermal, pH, and vapor techniques, among others, and have been discussed in detail, with an intense focus on several biomedical applications. However, many applications have yet to be discovered. In this review, we will describe these nanostructured materials based on their sources in nature and various structures, such as layered, hierarchical, and helical structures. In addition, we discuss the functions endowed by these structures, such as superhydrophobicity, adhesion, and high strength, enabling them to be employed in a number of applications in biomedical fields, including cell cultivation, biosensors, and tissue engineering.

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Fluctuations and Redundancy in Optimal Transport Networks

Cited by 184 publications

References 19 publications

Structural self-assembly and avalanchelike dynamics in locally adaptive networks

Structural self-assembly and avalanchelike dynamics in locally adaptive networks

Microstructures of glassy alloys: presence of hills, valleys, and veins

Recent biomedical applications of bio-sourced materials

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