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Fractal Organization of Cultivated in vitro Spiculogenous Cells and Larval Spicules of the Sea Urchin Strongylocentrotus nudus

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Abstract

The morphological patterns of the cultivated cells of primary mesenchyme and the spicules of the larval skeleton of the sea urchin Strongylocentrotus nudus were quantified, and the value of their fractal dimensions (D) was determined with ImageJ 1.20s software. It was shown that during cytodifferentiation, the values of D in the fractal (fractional) dimension, which reflects the complex spatial organization of the spiculogenous mesenchyme elements in two-dimensional space, increase to values close to 1.7. The invertible treatment with cytochalasin, which destroys the system of the actin filaments, suppresses the normal control of biomineralization and causes a complex form of spicules, the fractal dimension of which varies within 1.5–1.6. Thus, the determination of the fractal dimension value serves as evidence of the fractional essence of the patterns studied, quantifies the spatially complex organization of cells and their assemblies during morphogenesis, and allows us to estimate the variation in the spicule morphology after cytochalasin treatment.

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REFERENCES

  1. Derzhavin, D.K. and Isaeva, V.V., Fractal Self-Organization of the Aggregating in vitro Haemolymph Cells of the Mollusc Mizuhopecten yessoensis, Dokl. RAN, 2000, vol. 373, no. 2, pp. 254-256.

    Google Scholar 

  2. Isaeva, V.V., Spiculogenesis in the Blastula Cell Culture of the Sea Urchin Strongylocentrotus nudus, Tsitologita, 1981, vol. 23, no. 5, pp. 707-710.

    Google Scholar 

  3. Isaeva, V.V., Cells in the Morphogenesis, Moscow: Nauka, 1994.

    Google Scholar 

  4. Isaeva, V.V., Chernyshev, A.B., and Shkuratov D.Yu., Fractals and Chaos in the Organismal Morphology, Vestn. DVO RAN, 2001, no. 2, pp. 71-79.

  5. Isaeva, V.V. and Churikov, D.Yu., Effect of Cytochalasine and Colchicine on the Morphological Expression of a Spiculogenesis in the Differentiated Culture of the Sea Urchin Embryo Cells, Ontogenez, 1988, vol. 19, no. 6, pp. 626-633.

    Google Scholar 

  6. Irimura, S., Forms of Ophiuroid Disk Granules and Their Taxonomic Significance, in Echinoderms, Rotterdam: Balkema, 1998, pp. 359-364.

    Google Scholar 

  7. Mandelbrot, B.B., Foirm, chance and dimention, San Francisco: Freeman, 1977.

    Google Scholar 

  8. Mandelbrot, B.B., The Fractal Geometry of Nature, New York: Freeman, 1983.

    Google Scholar 

  9. Metzger, R.J. and Krasnow, M.A., Genetic Control of Branching Morphogenesis, Science, 1999, vol. 284, no. 5420, pp. 1635-1639.

    Google Scholar 

  10. Naeim, F., Moatamed, F., and Sahimi, M., Morphogenesis of the Bone Marrow: Fractal Structures and Diffusion-Limited Growth, Blood, 1996, vol. 87, no. 12, pp. 5027-5031.

    Google Scholar 

  11. Smith, T.G. and Lange, G.D., Fractal Studies of Neuronal and Glial Cellular Morphology, in Fractal Geometry in Biological Systems. An Analytical Approach, Boca Raton: CRC Press, 1996, pp. 173-186.

    Google Scholar 

  12. Weibel, E.R., Fractal Geometry—a Design Principle for Living Organisms, Amer. J. Physiol., 1991, vol. 261, no. 6, pp. 361-369.

    Google Scholar 

  13. Weibel, E.R., Design of Biological Organisms and Fractal Geometry, in Fractals in Biology and Medicine, Berlin: Birkhauser, 1993, pp. 68-85.

    Google Scholar 

  14. West, G.B., Brown, J.H., and Enquist, B.J., The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organism, Science, 1999, vol. 284, no. 5420, pp. 1677-1679.

    Google Scholar 

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Karetin, Y.A., Isaeva, V.V. Fractal Organization of Cultivated in vitro Spiculogenous Cells and Larval Spicules of the Sea Urchin Strongylocentrotus nudus . Russian Journal of Marine Biology 28, 344–346 (2002). https://doi.org/10.1023/A:1020915703530

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  • DOI: https://doi.org/10.1023/A:1020915703530

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