@Article{EAJAM-12-72,
author = {Lu , Yuankai and Hu , Dan},
title = {Optimisation of Biological Transport Networks},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {12},
number = {1},
pages = {72--95},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.180521.130721},
url = {http://global-sci.org/intro/article_detail/eajam/19921.html}
}