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Main antinuclear antibody patterns on immunofluorescence [1] Homogeneous immunofluorescence staining pattern of double stranded DNA antibodies on HEp-20-10 cells. Interphase cells show homogeneous nuclear staining while mitotic cells show staining of the condensed chromosome regions.
The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state. [1] [2] The pattern arises due to Turing instability which in turn ...
It describes how patterns in nature, such as stripes and spirals, can arise naturally from a homogeneous, uniform state. The theory, which can be called a reaction–diffusion theory of morphogenesis, has become a basic model in theoretical biology. [2] Such patterns have come to be known as Turing patterns.
The orbits are sets of patterns, containing translated and/or reflected versions, “equivalent patterns”. A translation of a pattern is only equivalent if the translation distance is one of those included in the symmetry group considered, and similarly for a mirror image. The set of all orbits of X under the action of G is written as X/G.
ANCA will less commonly form against alternative antigens that may also result in a p-ANCA pattern. These include lactoferrin, elastase, and cathepsin G. [citation needed] When the condition is a vasculitis, the target is usually MPO. [1] However, the proportion of p-ANCA sera with anti-MPO antibodies has been reported to be as low as 12%. [2]
Immunofluorescence (IF) can also be used as a “semi-quantitative” method to gain insight into the levels and localization patterns of DNA methylation. IF can additionally be used in combination with other, non-antibody methods of fluorescent staining, e.g., the use of DAPI to label DNA. [10] [11]
Class 1: Nearly all initial patterns evolve quickly into a stable, homogeneous state. Any randomness in the initial pattern disappears. [32] Class 2: Nearly all initial patterns evolve quickly into stable or oscillating structures. Some of the randomness in the initial pattern may filter out, but some remains.
Rational Bézier curve – polynomial curve defined in homogeneous coordinates (blue) and its projection on plane – rational curve (red) In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul, [1] [2] [3] are a system of coordinates used in projective geometry, just as Cartesian coordinates are used ...