title: Self-organization in and on biological spheres.
abstract: Three biological settings involving self-organization performed by the Turing-Child field inside a sphere and on its surface are considered. In the first setting the interior of a sphere made up of cells communicating via gap junctions is considered. It is suggested that the Turing-Child self-organization is the cause of radial polarization, the first differentiation of an early mammalian embryo. In the second setting, the Turing example of gastrulation of a hollow cellular sphere is considered. It is shown that Child's experimental patterns are predicted and explained by the Turing-Child theory. The third setting is the interior of a biological cell, and it is suggested that it is the self-organization of the Turing-Child field that causes the formation of the mitotic spindle.
authors: Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK. ys100@cam.ac.uk
authors: Yoram
authors: Y
authors: Schiffmann
mesh_terms: D000818:Animals; D003599:Cytoskeleton / Q000235:genetics / Q000502:physiology; D004622:Embryo, Mammalian / Q000166:cytology / Q000502:physiology*; D044127:Epigenesis, Genetic / Q000235:genetics / Q000502:physiology*; D054262:Gastrulation / Q000235:genetics / Q000502:physiology; D006801:Humans; D008938:Mitosis / Q000235:genetics / Q000502:physiology; D008954:Models, Biological; D038081:Organogenesis / Q000235:genetics / Q000502:physiology*; D013234:Stem Cells