Visualizing the fluid flow through the complex skeletonized respiratory structures of a blastoid echinoderm

Spiraculate blastoids have extraordinary internal skeletonized respiratory structures, the hydrospires. However, the detailed pattern of seawater flow within them is unknown, making it difficult to assess their respiratory effectiveness. Using a scaled-up (72x) 3D printed physical model to visualize the flow of water through the most distal (aboral) part of the hydrospire of Pentremites rusticus, we show that flow was consistent with effective respiratory exchange in the hydrospire folds – the flow continued horizontally within the hydrospire folds after passing through the hydrospire pore canals and only developed an adoral component to its velocity once it had entered the hydrospire canals. The observed orderly laminar flow is consistent with the Reynolds numbers we estimate for a living blastoid (Re = 0.0008–0.05). While most functional analyses of spiraculate hydrospires focus on their respiratory function, it is also possible that they played a role in feeding, helping to draw water past the brachioles, which is a hypothesis that is amenable to future testing. Tony L. Huynh. Department of Integrative Biology, University of California, Berkeley, Berkeley, California 94720-3140 USA. huynhtony@berkeley.edu Dennis Evangelista. Department of Biology, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599-3280 USA. devangel@live.unc.edu Charles R. Marshall*. University of California Museum of Paleontology and Department of Integrative Biology University of California, Berkeley, Berkeley, California, 94720-4780 USA. crmarshall@berkeley.edu *Author for correspondence

[1]  Robert Dudley,et al.  Shifts in stability and control effectiveness during evolution of Paraves support aerial maneuvering hypotheses for flight origins , 2014, bioRxiv.

[2]  Lindsay D. Waldrop Ontogenetic scaling of the olfactory antennae and flicking behavior of the shore crab, Hemigrapsus oregonensis. , 2013, Chemical senses.

[3]  Tee Tai Lim,et al.  Flow Visualization:Techniques and Examples , 2012 .

[4]  C. Marshall,et al.  Three Dimensional Structure and Fluid Flow through the Hydrospires of the Blastoid Echinoderm, Pentremites rusticus , 2010, Journal of Paleontology.

[5]  L. Miller,et al.  Flow within models of the vertebrate embryonic heart. , 2009, Journal of theoretical biology.

[6]  C. Sumrall,et al.  Allometric strategies for increasing respiratory surface area in the Mississippian blastoid Pentremites , 2009 .

[7]  M. Koehl Transitions in function at low Reynolds number: hair‐bearing animal appendages , 2001 .

[8]  H. Beaver Hydrospire meshwork of the Carboniferous Blastoid Pentremites Say , 1996, Journal of Paleontology.

[9]  M. Labarbera Principles of design of fluid transport systems in zoology. , 1990, Science.

[10]  J. R. Strickier,et al.  Copepod feeding currents: Food capture at low Reynolds number1 , 1981 .

[11]  J. Sprinkle,et al.  Fossilized Eggs in a Pennsylvanian Blastoid , 1976, Science.

[12]  G. Ubaghs Early Paleozoic Echinoderms , 1975 .

[13]  J. Sprinkle New rhombiferan cystoids from the middle Ordovician of Nevada , 1974 .

[14]  D. Evangelista Aerial Righting, Directed Aerial Descent, and Maneuvering in the Evolution of Flight in Birds , 2013 .

[15]  Lindsay D. Waldrop The Fluid Dynamics of Odor Capture by Crabs , 2012 .

[16]  Jonathan Daniel Munk The Descent of Ant , 2011 .

[17]  C. Fielding,et al.  Resolving the late Paleozoic ice age in time and space , 2008 .

[18]  M. Foote Morphological and Taxonomic Diversity in Clade's History: The Blastoid Record and Stochastic Simulations , 1991 .

[19]  R. Blevins Applied Fluid Dynamics Handbook , 1984 .

[20]  C. Paul,et al.  Evolution and functional morphology of the cystoid Sphaeronites in Britain and Scandinavia , 1983 .

[21]  S. Vogel Life in Moving Fluids: The Physical Biology of Flow , 1981 .

[22]  E. Clarkson Invertebrate Palaeontology and Evolution , 1979 .

[23]  John A Chamberlain Jun. Flow patterns and drag coefficients of cephalopod shells , 1976 .

[24]  J. Sprinkle Morphology and evolution of blastozoan echinoderms , 1973 .

[25]  R. C. Weast CRC Handbook of Chemistry and Physics , 1973 .

[26]  C. Paul Morphology and function of exothecal pore-structures in cystoids , 1972 .

[27]  C. Paul Morphology and function of dichoporite pore-structures in cystoids , 1968 .

[28]  E. A. Avellone,et al.  Marks' Standard Handbook for Mechanical Engineers , 1916 .

[29]  Ernst Haeckel Kunstformen der Natur , 1899 .