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
References
Hense, I., Kniemeyer, O., Mielke, A.: Bestimmung der fraktalen Dimension während der Aggregation von Dictyostelium discoideum. Bericht zum Projekt. Selbstorganisation in chemischen und biologischen Systemen. SS 1994–WS 1994/95 (Supervisors: P.J. Plath and M. Vicker) (July 1995)
Yuan Wang S., Pollina, E.A.,I-Hao Wang, Pino L.K., Bushnell, H.L., Ken Takashima, Fritsche C., Sabin, G., Garcia, B.A., Lieberman Greer, P., Eric Lieberman Greer, E.: Role of epigenetics in unicellular to multicellular transition in Dictyostelium. Genome Biol. 22(1), 134 (4 May 2021). https://doi.org/10.1186/s13059-021-02360-9
Koryu Kin, Schaap, P.: Evolution of multicellular complexity in the dictyostelid social amoebas. Genes 12, 487 (2021). https://pubmed.ncbi.nlm.nih.gov/33801615/; PMID: 33801615, PMCID: PMC8067170. https://doi.org/10.3390/genes12040487
Bozarro. S.: Dictyostelium: from unicellularity to multicellularity. In: Russo, V.E.A., et al. (eds.) Development—the molecular genetic approach. Springer, Berlin (1992)
Killich, T., Plath, P.J., Xiang Wei, Bultmann, H., Rensing, L., Vicker, M.G.: The locomotion, shape and pseudopodial dynamics of unstimulated dictyostelium cells are not random. J. Cell Sci. 106, 1005–1013 (1993)
Killich, T., Plath, P.J., Haß, E.-C., Wei Xiang, Bultmann, H., Rensing, L., Vicker, M.G.: Cell movement and shape are non-random and determined by intracellular, oscillatory rotating waves in Dictyostelium amoebae. BioSystems 33, 75–87 (1994)
Vicker, M.G., Wei Xiang, Plath, P.J., Wosniok, W.: Pseudopodium extension and amoeboid locomotion in Dictyostelium discoideum: Possible autowave behaviour of F-actin. Phys. D: Nonlinear Phenom. 101(3–4), pp. 317–332 (1 March 1997)
Brosteanu, O., Plath P.J., Vicker M.G.: Mathematical analysis of cell shape. In: Alt, W., Deutsch, A., Dunn, G.A. (eds.) Dynamics of Cell and Tissue Motion. Mathematics and Biosciences in Interaction. Birkhäuser, Basel (1997). https://doi.org/10.1007/978-3-0348-8916-2_4
Müller, S.C., Mair, T., Steinbock. O.: Traveling waves in yeast extract and in cultures of Dictyostelium discoideum. Biophys. Chem. 72(1–2) 37–47 (1998). https://doi.org/10.1016/s0301-4622(98)00121-5. Affiliations PMID: 9652085
Foerster, P., Müller, S.C.: Geometric parameters of aggregation waves in Dictyostelium Discoideum. In: Holden, V., Markus, M., Othmer, H.G. (eds.) Nonlinear wave processes in excitable media, part of the NATO ASI Series, Series B: Physics, vol. 244, pp 277–279. Plenum Press New York, London (1991)
Falcke, M., Levine, H.: Pattern selection by gene expression in Dictyostelium Discoideum. Phys. Rev. Lett. 80, 3875–3878 (1998)
Vasiev, B., Siegert, F., Weijer, C.J.: A Hydrodynamic model for Dictyostelium discoideum mound formation. J. Theor. Biol. 184(4), 441–450 (1997)
Singer, G., Araki, T., Weijer, C.J.: Oscillatory cAMP cell-cell signalling persists during multicellular Dictyostelium development. Commun. Biol. 2, 139 (2019). https://doi.org/10.1038/s42003-019-0371-0
Bretschneider, T., Othmer, H.G., Weijer, C.J.: Progress and perspectives in signal transduction, actin dynamics, and movement at the cell and tissue level: lessons from Dictyostelium. Interface Focus 2016, 20160047 (2016). https://doi.org/10.1098/rsfs.2016.0047
Mandelbrot, B.B.: The Fractal Geometry of Nature. W.H. Freeman and Company, New York (1983)
Hall, A.L., Schlein, A., Condeelis, J.: Relationship of pseudopod extension to chemotactic hormone-induced actin polymerization in amoeboid cells. J. Cell Biochem. 37(3), 285–299 (1988). https://doi.org/10.1002/jcb.240370304
Peitgen, H.O., Jürgens, H., Saupe, D.: Bausteine des Chaos – Fraktale, pp. 256–265. Springer-Verlag, Berlin, Heidelberg, New York, Klett-Cotta Stuttgart (1992)
Bitter, P.: Dynamics and structure of cellular aggregation. Doctor thesis 17.12. 2014, pp. 73–80. Fachbereich Physik, Philipps-Universität Marburg (2015). http://archiv.ub.uni-marburg.de/diss/z2015/0211/pdf/dpb.pdf (Accessed 2021–07–04)
Witten, T.A., Sander, L.M.: Phys. Rev. B 27(9), 5686–5697 (1983)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Plath, P.J. (2022). Fractal Aggregation of Dictyostelium discoideum. In: Imagery Synergetics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-95607-3_16
Download citation
DOI: https://doi.org/10.1007/978-3-030-95607-3_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-95605-9
Online ISBN: 978-3-030-95607-3
eBook Packages: EngineeringEngineering (R0)