Volume 12, Issue 1
Optimisation of Biological Transport Networks

Yuankai Lu & Dan Hu

East Asian J. Appl. Math., 12 (2022), pp. 72-95.

Published online: 2021-10

Export citation
  • Abstract

Transport networks such as blood vessel systems and leaf venation are universally required for large-size living organisms in order to overcome the low efficiency of the diffusion in large scale mass transportation. Despite substantial differences in living organisms, such networks have many common patterns — viz. biological transport networks are made up of tubes and flows in tubes deliver target substances. Besides, these networks maintain a tree-like backbone attached with small loops. Experimental and mathematical studies show many similarities in biological mechanisms, which drive structural optimisation in biological transport networks. It is worth noting that the structural optimisation of transport networks in living organisms is achieved in the sense of energy cost as a consequence of natural selection. In this review, we recall the exploration history and show mathematical structures used in the design of biological transport networks.

  • Keywords

Biological transport networks, blood vessels, optimisation principle, adaptation.

  • AMS Subject Headings

37N25, 76D55

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-12-72, author = {Yuankai and Lu and and 20978 and and Yuankai Lu and Dan and Hu and and 20979 and and Dan Hu}, title = {Optimisation of Biological Transport Networks}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {12}, number = {1}, pages = {72--95}, abstract = {

Transport networks such as blood vessel systems and leaf venation are universally required for large-size living organisms in order to overcome the low efficiency of the diffusion in large scale mass transportation. Despite substantial differences in living organisms, such networks have many common patterns — viz. biological transport networks are made up of tubes and flows in tubes deliver target substances. Besides, these networks maintain a tree-like backbone attached with small loops. Experimental and mathematical studies show many similarities in biological mechanisms, which drive structural optimisation in biological transport networks. It is worth noting that the structural optimisation of transport networks in living organisms is achieved in the sense of energy cost as a consequence of natural selection. In this review, we recall the exploration history and show mathematical structures used in the design of biological transport networks.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.180521.130721}, url = {http://global-sci.org/intro/article_detail/eajam/19921.html} }
TY - JOUR T1 - Optimisation of Biological Transport Networks AU - Lu , Yuankai AU - Hu , Dan JO - East Asian Journal on Applied Mathematics VL - 1 SP - 72 EP - 95 PY - 2021 DA - 2021/10 SN - 12 DO - http://doi.org/10.4208/eajam.180521.130721 UR - https://global-sci.org/intro/article_detail/eajam/19921.html KW - Biological transport networks, blood vessels, optimisation principle, adaptation. AB -

Transport networks such as blood vessel systems and leaf venation are universally required for large-size living organisms in order to overcome the low efficiency of the diffusion in large scale mass transportation. Despite substantial differences in living organisms, such networks have many common patterns — viz. biological transport networks are made up of tubes and flows in tubes deliver target substances. Besides, these networks maintain a tree-like backbone attached with small loops. Experimental and mathematical studies show many similarities in biological mechanisms, which drive structural optimisation in biological transport networks. It is worth noting that the structural optimisation of transport networks in living organisms is achieved in the sense of energy cost as a consequence of natural selection. In this review, we recall the exploration history and show mathematical structures used in the design of biological transport networks.

Yuankai Lu & Dan Hu. (2021). Optimisation of Biological Transport Networks. East Asian Journal on Applied Mathematics. 12 (1). 72-95. doi:10.4208/eajam.180521.130721
Copy to clipboard
The citation has been copied to your clipboard