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Related Experiment Video

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Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
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Phenotypes of Vascular Flow Networks.

Henrik Ronellenfitsch1,2, Eleni Katifori2

  • 1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|January 11, 2020
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Summary
This summary is machine-generated.

This study reveals a mechanism for generating complex biological networks, like plant venation, using spatially correlated load fluctuations. These networks balance efficiency, cost, and robustness, with fluctuation scale determining their evolutionary trade-offs.

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Area of Science:

  • Biology
  • Network Science
  • Evolutionary Biology

Background:

  • Complex distribution networks are common in biology, seen in nutrient transport (Physarum polycephalum) and vascular systems (plants, mammals).
  • These networks exhibit reticulate, hierarchically nested topologies, suggesting adaptive development for efficiency and resilience.
  • A known mechanism for generating these scale-invariant networks has been lacking.

Purpose of the Study:

  • To elucidate a mechanism for the construction and maintenance of complex, hierarchically organized biological networks.
  • To investigate how spatially correlated load fluctuations influence network topology and function.
  • To identify the evolutionary trade-offs governing network development and their impact on phenotypes.

Main Methods:

  • Simulating network formation driven by spatially correlated load fluctuations across different length scales.
  • Analyzing network topology for efficiency, construction cost, and robustness against perturbations.
  • Identifying the Pareto-efficient front representing optimal trade-offs between competing network properties.

Main Results:

  • Spatially correlated load fluctuations on a specific length scale can generate hierarchically organized, reticulate networks.
  • Generated network topologies represent a trade-off between transport efficiency, construction cost, and damage robustness.
  • The typical fluctuation length scale dictates the network's position on the Pareto-efficient front, influencing its phenotype.

Conclusions:

  • Spatially correlated load fluctuations provide a unifying mechanism for generating complex biological distribution networks across scales.
  • Evolutionary selection favors networks on the Pareto-efficient front, balancing efficiency, cost, and robustness.
  • The characteristic length scale of fluctuations is a key determinant of network structure and function in biological systems.