scholarly journals Optimisation of Biological Transport Networks

2022 ◽  
Vol 12 (1) ◽  
pp. 72-95
Author(s):  
Yuankai Lu & Dan Hu
Keyword(s):  
Biological Transport ◽  
Transport Networks

scholarly journals A Priori Estimates for a Nonlinear System with Some Essential Symmetrical Structures

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 852 ◽  
Author(s):  
Jieqiong Shen ◽  
Bin Li
Keyword(s):  
Nonlinear System ◽  
Strong Solution ◽  
Blow Up ◽  
A Priori Estimates ◽  
A Priori ◽  
Upper Bounds ◽  
Biological Transport ◽  
Transport Networks ◽  
Cross Diffusion ◽  
Priori Estimates

In this paper, we are concerned with a nonlinear system containing some essential symmetrical structures (e.g., cross-diffusion) in the two-dimensional setting, which is proposed to model the biological transport networks. We first provide an a priori blow-up criterion of strong solution of the corresponding Cauchy problem. Based on this, we also establish a priori upper bounds to strong solution for all positive times.

scholarly journals Structure and formation of ant transportation networks

2011 ◽  
Vol 8 (62) ◽  
pp. 1298-1306 ◽  
Author(s):  
Tanya Latty ◽  
Kai Ramsch ◽  
Kentaro Ito ◽  
Toshiyuki Nakagaki ◽  
David J. T. Sumpter ◽  
...  
Keyword(s):  
Spanning Trees ◽  
Network Formation ◽  
Transportation Networks ◽  
Biological Systems ◽  
Minimum Spanning Trees ◽  
Centralized Control ◽  
Construction Process ◽  
Biological Transport ◽  
Global Knowledge ◽  
Transport Networks

Many biological systems use extensive networks for the transport of resources and information. Ants are no exception. How do biological systems achieve efficient transportation networks in the absence of centralized control and without global knowledge of the environment? Here, we address this question by studying the formation and properties of inter-nest transportation networks in the Argentine ant ( Linepithema humile ). We find that the formation of inter-nest networks depends on the number of ants involved in the construction process. When the number of ants is sufficient and networks do form, they tend to have short total length but a low level of robustness. These networks are topologically similar to either minimum spanning trees or Steiner networks. The process of network formation involves an initial construction of multiple links followed by a pruning process that reduces the number of trails. Our study thus illuminates the conditions under and the process by which minimal biological transport networks can be constructed.

Fractal Analysis of Transport Networks

2011 ◽  
Vol 7 (3) ◽  
pp. 5-13
Author(s):  
Ya.V. Shevchuk ◽  
Keyword(s):  
Fractal Analysis ◽  
Transport Networks
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