2020
DOI: 10.1088/1748-3190/ab7571
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Transportation networks inspired by leaf venation algorithms

Abstract: Biological systems have adapted to environmental constraints and limited resource availability.In the present study, we evaluate the algorithm underlying leaf venation (LV) deployment using graph theory. We compare the traffic balance, travel and cost efficiency of simply-connected LV networks to those of the fan tree and of the spanning tree. We use a Pareto front to show that the total length of leaf venations is close to optimal. Then we apply the LV algorithm to design transportation networks in the city o… Show more

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Cited by 8 publications
(4 citation statements)
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References 67 publications
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“…Xia et al [5] and Ouellette et al [6] emulated leaf vein structure in the flow field of a proton-exchange membrane fuel cell to promote the uniform distribution of reaction gases and currents and improve the power output of the cell. Patino-Ramirez and Arson [7] and Barthélemy and Flammini [8] proposed algorithms for planning urban transportation networks based on leaf vein patterns, which is in good agreement with the observed empirical patterns.…”
Section: Introductionsupporting
confidence: 66%
See 1 more Smart Citation
“…Xia et al [5] and Ouellette et al [6] emulated leaf vein structure in the flow field of a proton-exchange membrane fuel cell to promote the uniform distribution of reaction gases and currents and improve the power output of the cell. Patino-Ramirez and Arson [7] and Barthélemy and Flammini [8] proposed algorithms for planning urban transportation networks based on leaf vein patterns, which is in good agreement with the observed empirical patterns.…”
Section: Introductionsupporting
confidence: 66%
“…For liquid transport in an ideal smooth channel that satisfies the Young's equation: Combining and simplifying equation ( 6) and can (7) yield:…”
Section: Capillarity Of Asymmetric Branch Structurementioning
confidence: 99%
“…This behavior could be used to design plant-inspired infrastructure networks. Leaf venations already proved to be more effective than engineering networks in 2D 44 . Simulations with root-inspired networks could allow the design of 3D networks in complex topographical environments, with applications in underground utilities or transportation.…”
Section: Discussionmentioning
confidence: 99%
“…The intricate network topologies of leaf venation systems have attracted much interest in physics and applied sciences as natural models to improve pathway topologies for transport processes with respect to both transport efficiency and robustness. Theoretical studies as well as analyses of artificial systems based on leaf venation patterns were conducted in this respect [ 179 , 185 , 186 , 187 , 188 ]. Often, the application potential focuses on microfluidic systems [ 189 , 190 ] and heat exchanger systems [ 2 , 191 ].…”
Section: Leaf Venationmentioning
confidence: 99%