Abstract
A mathematical model of the skeletogenesis and the influence of the physical environment on the morphogenesis of a branching sponge, for example, Haliclona oculata or Lubomirskia baikalensis, is presented. In the model, we assume that the radiate accretive growth process is nutrient limited. With this model we can generate in a simulated accretive growth process branching objects with a similarity to the branching sponges.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E.R. Abraham. The fractal branching of an arborescent sponge. Mar. Biol.138, 503–510 (2001).
T. Adell, I. Nefkens, and W.E.G. Müller. Polarity factor ‘frizzled’ in the demosponge Suberites domuncula: identification, expression and localization of the receptor in the epithelium/pina-coderm. FEBS554, 363–368 (2003)
N. Boury-Esnault and K. Ruetzler, Thesaurus of sponge morphology. Smithson. Contr. Zool.596, 1–55 (1997)
J.S. Bowerbank. A monograph of the British Spongiadae VIII, London Royal Society, London, 1876
E. Brener, K. Kassner, and H. Mueller-Krumbhaar. Pattern formation in first order phase transitions. Int. J. Modern Phys. C3, 825–851 (1992)
W.H. de Weerdt, A systematic revision of the north-eastern Atlantic shallow-water Haplosclerida (Porifera, Demospongiae), part (II): (C)halinidae, Beafortia 36, 81–165 (1986)
J.A. Kaandorp and J.E. Kübler. The algorithmic beauty of seaweeds, sponges and corals. Springer-Verlag, Heidelberg, 2001
J.A. Kaandorp, P.M.A. Sloot, R.M.H. Merks, R.P.M. Bak, M.J.A. Vermeij, and C. Maier. Morphogenesis of the branching reef coral Madracis mirabilis. Proc. Roy. Soc. Lond. B272, 127–133, 2005
G. Le Pennec, et al. Cultivation of primmorphs from the marine sponge Suberites domuncula: morphogenetic potential of silicon and iron a review. J. Biotechnol.100, 93–108 (2003)
R.M.H. Merks, A.G. Hoekstra, J.A. Kaandorp, and P.M.A. Sloot. Branching and morphologic plasticity in corals: the polyp oriented approach. J. Theor. Biol.228, 559–576, 2004
W.E.G. Müller, et al. Molecular mechanism of spicule formation in the demosponge Suberites domuncula: silicatein – collagen- myotrophin. Prog. Mol. Subcell. Biol.33, 195–231 (2003)
W.E.G. Müller, et al. Bauplan of urmetazoa: basis for genetic complexity of metazoa. Int. Rev. Cytol.235, 53–92 (2004)
B. van Rietbergen et al. Tissue stresses and strain in trabeculae of a canine proximal femur. J. Biomech.32, 443–451 (1999)
C.J. Vosmaer On the distinction between the genera Axinella, Phakelia, Acantella a.o. Abdruck aus den Zoologischen Jahrbüchern, Verlag von Gustav Fischer, Jena, 1912
F. Wiedenmayer. Shallow-water sponges of the western Bahamas. Birkhäuser, Basel, 1977
A.G. Wischmeyer et al. Theoretical constraints on the uptake of silicic acid species by marine diatoms. Mar. Chem.29, 13–29 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kaandorp, J.A. (2009). Modelling the Skeletal Architecture in a Sponge with Radiate Accretive Growth. In: Müller, W.E.G., Grachev, M.A. (eds) Biosilica in Evolution, Morphogenesis, and Nanobiotechnology. Progress in Molecular and Subcellular Biology, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88552-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-88552-8_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88551-1
Online ISBN: 978-3-540-88552-8
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)