論文

査読有り
2012年4月

Geometric Theory Predicts Bifurcations in Minimal Wiring Cost Trees in Biology Are Flat

PLOS COMPUTATIONAL BIOLOGY
  • Yihwa Kim
  • ,
  • Robert Sinclair
  • ,
  • Nol Chindapol
  • ,
  • Jaap A. Kaandorp
  • ,
  • Erik De Schutter

8
4
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1371/journal.pcbi.1002474
出版者・発行元
PUBLIC LIBRARY SCIENCE

The complex three-dimensional shapes of tree-like structures in biology are constrained by optimization principles, but the actual costs being minimized can be difficult to discern. We show that despite quite variable morphologies and functions, bifurcations in the scleractinian coral Madracis and in many different mammalian neuron types tend to be planar. We prove that in fact bifurcations embedded in a spatial tree that minimizes wiring cost should lie on planes. This biologically motivated generalization of the classical mathematical theory of Euclidean Steiner trees is compatible with many different assumptions about the type of cost function. Since the geometric proof does not require any correlation between consecutive planes, we predict that, in an environment without directional biases, consecutive planes would be oriented independently of each other. We confirm this is true for many branching corals and neuron types. We conclude that planar bifurcations are characteristic of wiring cost optimization in any type of biological spatial tree structure.

Web of Science ® 被引用回数 : 13

リンク情報
DOI
https://doi.org/10.1371/journal.pcbi.1002474
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000303440400026&DestApp=WOS_CPL
URL
http://orcid.org/0000-0002-9646-4322
ID情報
  • DOI : 10.1371/journal.pcbi.1002474
  • ISSN : 1553-734X
  • eISSN : 1553-7358
  • ORCIDのPut Code : 15293293
  • Web of Science ID : WOS:000303440400026

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