@misc{KnoetelSeidelHosnyetal., author = {Kn{\"o}tel, David and Seidel, Ronald and Hosny, Ahmed and Zaslansky, Paul and Weaver, James C. and Baum, Daniel and Dean, Mason N.}, title = {Understanding the Tiling Rules of the Tessellated Mineralized Endoskeleton of Sharks and Rays}, series = {Poster, Euro Bio-inspired Materials 2016, Potsdam, Germany, February 22 - 25, 2016}, journal = {Poster, Euro Bio-inspired Materials 2016, Potsdam, Germany, February 22 - 25, 2016}, abstract = {The endoskeletons of sharks and rays are composed of an unmineralized cartilaginous core, covered in an outer layer of mineralized tiles called tesserae. The tessellated layer is vital to the growth as well as the material properties of the skeletal element, providing both flexibility and strength. However, characterizing the relationship between tesseral size and shape, and skeletal growth and mechanics is challenging because tesserae are small (a few hundred micrometers wide), anchored to the surrounding tissue in complex three-dimensional ways, and occur in huge numbers. Using a custom-made semi-automatic segmentation algorithm, we present the first quantitative and three-dimensional description of tesserae in micro-CT scans of whole skeletal elements. Our segmentation algorithm relies on aspects we have learned of general tesseral morphology. We exploit the distance map of the mineralized layer to separate individual tiles using a hierarchical watershed algorithm. Additionally, we have developed post-processing techniques to quickly correct segmentation errors. Our data reveals that the tessellation is not regular, with tesserae showing a great range of shapes, sizes and number of neighbors. This is partly region-dependent: for example, thick, columnar tesserae are arranged in series along convex edges with small radius of curvature (RoC), whereas more brick-or disc-shaped tesserae are found in planar areas. We apply our newly developed techniques on the left and right hyomandibula (skeletal elements supporting the jaws) from four different ages of a stingray species, to clarify how tiling patterns develop across ontogeny and differ within and between individuals. We evaluate the functional consequences of tesseral morphologies using finite element analysis and 3d-printing, for a better understanding of shark skeletal mechanics, but also to extract fundamental engineering design principles of tiling arrangements on load-bearing three-dimensional objects.}, language = {en} } @inproceedings{DeanSeidelKnoeteletal., author = {Dean, Mason N. and Seidel, R. and Kn{\"o}tel, David and Lyons, K. and Baum, Daniel and Weaver, James C. and Fratzl, Peter}, title = {To build a shark: 3D tiling laws of tessellated cartilage}, series = {Abstract in Integrative and Comparative Biology; conference Society of Integrative and Comparative Biology annual meeting, January 3-7, 2016, Portland, USA}, volume = {56 (suppl 1)}, booktitle = {Abstract in Integrative and Comparative Biology; conference Society of Integrative and Comparative Biology annual meeting, January 3-7, 2016, Portland, USA}, abstract = {The endoskeleton of sharks and rays (elasmobranchs) is comprised of a cartilaginous core, covered by thousands of mineralized tiles, called tesserae. Characterizing the relationship between tesseral morphometrics, skeletal growth and mechanics is challenging because tesserae are small (a few hundred micrometers wide), anchored to the surrounding tissue in complex three-dimensional ways, and occur in huge numbers. We integrate material property, histology, electron microscopy and synchrotron and laboratory µCT scans of skeletal elements from an ontogenetic series of round stingray Urobatis halleri, to gain insights into the generation and maintenance of a natural tessellated system. Using a custom-made semiautomatic segmentation algorithm, we present the first quantitative and 3d description of tesserae across whole skeletal elements. The tessellation is not interlocking or regular, with tesserae showing a great range of shapes, sizes and number of neighbors. This is partly region-dependent: for example, thick, columnar tesserae are arranged in series along convex edges with small radius of curvature (RoC), whereas more brick- or disc-shaped tesserae are found in planar/flatter areas. Comparison of the tessellation across ontogeny, shows that in younger animals, the forming tesseral network is less densely packed, appearing as a covering of separate, poorly mineralized islands that grow together with age to form a complete surface. Some gaps in the tessellation are localized to specific regions in all samples, indicating they are real features, perhaps either regions of delayed mineralization or of tendon insertion. We will use the structure of elasmobranch skeletons as a road map for understanding shark and ray skeletal mechanics, but also to extract fundamental engineering principles for tiled composite materials.}, language = {en} }