In: Proceedings of XLV International Summer School–Conference APM 2017, pp.
Glane, S., Rickert, W., Müller, W.H., Vilchevskaya, E.: Micropolar media with structural transformations: Numerical treatment of a particle crusher. Springer, New York (1999)Įringen, A.C., Kafadar, C.B.: Polar field theories. Academic Press, New York (1976)Įringen, A.: A unified continuum theory of electrodynamics of liquid crystals. Springer, Heidelberg (2012)Įringen, A.: Continuum Physics, vol. 32, 435–458 (2007)ĭłużewski, P.H.: Finite deformations of polar elastic media. All rights reserved.Chen, K.: Microcontinuum balance equations revisited: the mesoscopic approach. Here we present some illustrations of the suggested methodology on the analysis of plant angiosperm species belonging to different taxa of various ranks.īioinformatics Developmental graphs (trees) Embryogenesis of angiosperms Inception of morphological characters Phylogeny Trees distance algorithm.Ĭopyright © 2021 Elsevier Ltd. Next we performed the analysis of correspondence between the obtained clusters and the inception of morphological characters in given clustered groups of organisms, which allows describing several particular cases of interrelation between developmental trends and formation of morphological structures. Second, we suggested an algorithm of trees comparison, developed specifically for this type of labeled graphs, which allows calculating a distance between two developmental trees, and thus clustering them into groups. First, we propose a strategy for constructing developmental graphs (trees) that provide mathematical formalization of a process of embryogenesis. Here we discuss an approach enabling giving an insight into the understanding of this phenomenon.
However, these two phenomena do not correlate from phylogenetic point of view, namely, different unrelated taxa can have the same type of early embryogenesis, while there can be different types of cleavage inside one taxon. In most taxa of plant and animal kingdoms the initial steps of embryogenesis and the final morphology of an organism are strongly determined.
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