Results 61 to 70 of about 2,431,660 (294)
The morphology of partially ordered sets
Journal of Combinatorial Theory, Series A, 1974 DEFINITION. XC gn is called a set of incomparable elements if A, B E X and A C B imply A = B. Then Sperner’s Theorem -maxx / X 1 = (,J,,), where X ranges over all sets of incomparable elements in .?3,, . The standard proof of Sperner’s theorem (see Harper-Rota [lo]) is based upon two properties of an , unimodality and matching.
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Majorization on a Partially Ordered Set [PDF]
Proceedings of the American Mathematical Society, 1979 We extend the classical concept of set majorization to the case where the set is partially ordered. We give a useful property which characterizes majorization on a partially ordered set. Quite unexpectedly, the proof of this property relies on a theorem of Shapley on convex games.
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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The number of graded partially ordered sets [PDF]
, 1969 We find an explicit formula for the number of graded partially ordered sets of rank h that can be defined on a set containing n elements. Also, we find the number of graded partially ordered sets of length h, and having a greatest and least element that ...
Klarner, DA David +2 more
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An isoform of 14‐3‐3 protein regulates transbilayer lipid movement at the plasma membrane
FEBS Letters, EarlyView.Loss of 14‐3‐3ζ in CHO cells confers resistance to exogenous phosphatidylserine (PS) and impairs endocytosis‐independent inward flip‐flop of fluorescent PS at the plasma membrane. RNAi‐mediated knockdown reproduces this defect, while no additive effect is seen in ATP11C‐deficient cells.
Akiko Yamaji‐Hasegawa +3 more
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Inferring microRNA regulation of mRNA with partially ordered samples of paired expression data and exogenous prediction algorithms. [PDF]
PLoS ONE, 2012 MicroRNAs (miRs) are known to play an important role in mRNA regulation, often by binding to complementary sequences in "target" mRNAs. Recently, several methods have been developed by which existing sequence-based target predictions can be combined with
Brian Godsey, Diane Heiser, Curt Civin
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An Arithmetical Theorem for Partially Ordered Sets [PDF]
, 1950 The simplest multiplicative systems in which arithmetical ideas can be defined are semigroups. For such systems irreducible (prime) elements can be introduced and conditions under which the fundamental theorem of arithmetic holds have been ...
Doyle, Worthie Lefler
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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On the dimension of partially ordered sets
Discrete Mathematics, 1981 AbstractWe study the topic of the title in some detail. The main results are summarized in the first four paragraphs of this paper.
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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