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Universal statistics of the knockout tournament.

ABSTRACT: We study statistics of the knockout tournament, where only the winner of a fixture progresses to the next. We assign a real number called competitiveness to each contestant and find that the resulting distribution of prize money follows a power law with an exponent close to unity if the competitiveness is a stable quantity and a decisive factor to win a match. Otherwise, the distribution is found narrow. The existing observation of power law distributions in various kinds of real sports tournaments therefore suggests that the rules of those games are constructed in such a way that it is possible to understand the games in terms of the contestants' inherent characteristics of competitiveness.

SUBMITTER: Baek SK

PROVIDER: S-EPMC3824171 | biostudies-other | 2013

REPOSITORIES: biostudies-other

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Project description:Background We aim to generate a line of "universal donor" human induced pluripotent stem cells (hi PSC s) that are nonimmunogenic and, therefore, can be used to derive cell products suitable for allogeneic transplantation. Methods and Results hi PSC s carrying knockout mutations for 2 key components (?2 microglobulin and class II major histocompatibility class transactivator) of major histocompatibility complexes I and II (ie, human leukocyte antigen [HLA] I/ II knockout hi PSC s) were generated using the Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)/CRISPR associated protein 9 (Cas9) gene-editing system and differentiated into cardiomyocytes. Pluripotency-gene expression and telomerase activity in wild-type ( WT ) and HLAI / II knockout hi PSC s, cardiomyocyte marker expression in WT and HLAI / II knockout hi PSC -derived cardiomyocytes, and assessments of electrophysiological properties (eg, conduction velocity, action-potential and calcium transient half-decay times, and calcium transient increase times) in spheroid-fusions composed of WT and HLAI / II knockout cardiomyocytes, were similar. However, the rates of T-cell activation before (?21%) and after (?24%) exposure to HLAI / II knockout hi PSC -derived cardiomyocytes were nearly indistinguishable and dramatically lower than after exposure to WT hi PSC -derived cardiomyocytes (?75%), and when WT and HLAI / II knockout hi PSC -derived cardiomyocyte spheroids were cultured with human peripheral blood mononuclear cells, the WT hi PSC -derived cardiomyocyte spheroids were smaller and displayed contractile irregularities. Finally, expression of HLA -E and HLA -F was inhibited in HLAI / II knockout cardiomyocyte spheroids after coculture with human peripheral blood mononuclear cells, although HLA -G was not inhibited; these results are consistent with the essential role of class II major histocompatibility class transactivator in transcriptional activation of the HLA -E and HLA-F genes, but not the HLA -G gene. Expression of HLA -G is known to inhibit natural killer cell recognition and killing of cells that lack other HLAs. Conclusions HLAI / II knockout hi PSC s can be differentiated into cardiomyocytes that induce little or no activity in human immune cells and, consequently, are suitable for allogeneic transplantation.

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Universal statistics of the knockout tournament.

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