Why are there no short circuits in the arterial network?

ORAL

Abstract

Efficient transport within vascular networks requires red blood cells be delivered at the same rate to each capillary, to ensure even oxygen supply throughout an organism. However, real vascular systems are massive networks in which distance from the heart to capillary vessels can vary over several orders of magnitude. Why are there no short-circuits? Why don't capillaries closer to the heart receive more red blood cells than farther capillaries? We used the trunk arterial network of a zebrafish embryo as a model for understanding the mechanisms underlying red blood cell partitioning within the microvasculature. Using mathematical modeling and experiments in living zebrafish we show that a tuned hydrodynamic feedback mechanism evenly splits red blood cells between trunk vessels. This key design feature comes at a cost to the overall efficiency of the network in that creating a uniform flux means that many red blood cells no longer travel through capillaries.

Authors

  • Shyr-Shea Chang

    Department of Mathematics, University of California Los Angeles

  • Shenyinying Tu

    Department of Mathematics, University of California Los Angeles

  • Yu-Hsiu Liu

    Institute of Zoology, National Taiwan University

  • Van Savage

    Department of Biomathematics, University of California Los Angeles

  • Sheng-Ping Hwang

    Institute of Cellular and Organismic Biology, Academia Sinica

  • Marcus Roper

    Department of Mathematics, University of California Los Angeles