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Fermat's principle of least time predicts refraction of ant trails at substrate borders.
PLoS One
September 2013
Biologie I, Universität Regensburg, Regensburg, Germany.
Fermat's principle of least time states that light rays passing through different media follow the fastest (and not the most direct) path between two points, leading to refraction at medium borders. Humans intuitively employ this rule, e.g.
View Article and Find Full Text PDFAnalyzing proteome topology and function by automated multidimensional fluorescence microscopy.
Nat Biotechnol
October 2006
Molecular Pattern Recognition Research (MPRR) Group, Institute of Medical Neurobiology, Otto-von-Guericke-University Magdeburg, D-39120 Magdeburg, Germany.
Temporal and spatial regulation of proteins contributes to function. We describe a multidimensional microscopic robot technology for high-throughput protein colocalization studies that runs cycles of fluorescence tagging, imaging and bleaching in situ. This technology combines three advances: a fluorescence technique capable of mapping hundreds of different proteins in one tissue section or cell sample; a method selecting the most prominent combinatorial molecular patterns by representing the data as binary vectors; and a system for imaging the distribution of these protein clusters in a so-called toponome map.
View Article and Find Full Text PDFFrom sphere to torus: a topological view of the metazoan body plan.
Bull Math Biol
January 2003
Forschungsschwerpunkt Mathematisierung - Strukturbildungsprozesse, Developmental Biology and Molecular Pathology, W7, Bielefeld University, D-33501 Bielefeld, Germany.
From the viewpoint of mathematical topology, membrane systems in intact living cells can be described as closed and orientable surfaces, i.e., as surfaces with two sides and no boundary lines so that an 'inside' and an 'outside' can be distinguished.
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