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Unbounded solutions for a periodic phase transition model
Byeon, J.,Rabinowitz, P.H. Academic Press 2016 Journal of differential equations Vol.260 No.2
<P>In an earlier paper, [1], the authors treated a family of Allen-Cahn model problems for which 0 and 1 are solutions and further solutions were found that are near 1 on a prescribed set, T + Omega, where T subset of Z(n), and near 0 on (Z(n)\T) + Omega. Here Omega subset of (0, 1)(n). In this paper, a more general class of potentials is treated for which the pair, {0, 1}, is replaced by Z and the existence of a far richer structure of shadowing solutions, including unbounded ones, is established. (C) 2015 Elsevier Inc. All rights reserved.</P>
Gong, Yingyun,Cao, Rui,Ding, Guolian,Hong, Sungguan,Zhou, Wenjun,Lu, Wenyun,Damle, Manashree,Fang, Bin,Wang, Chuhan C.,Qian, Justin,Lie, Natasha,Lanzillotta, Cristina,Rabinowitz, Joshua D.,Sun, Zheng Elsevier 2018 Molecular and cellular endocrinology Vol.471 No.-
<P><B>Abstract</B></P> <P>Nuclear receptors regulate gene expression by differentially binding to coactivators or corepressors in a ligand-dependent manner, which further recruits a set of epigenome-modifying enzymes that remodel chromatin conformation. Histone acetylation is a major epigenomic change controlled by histone acetyltransferases (HATs) and histone deacetylases (HDACs). HDAC3 is the only HDAC that confers the enzymatic activity to the complexes nucleated by nuclear receptor corepressors NCoR and SMRT. To address the metabolic function of HDAC3, we have deleted it specifically in mouse skeletal muscles. We have performed the following omics profiling in skeletal muscles of these mice: (1) RNA-seq profiling of total RNA; (2) Global nuclear run-on (GRO-seq) analysis of nascent RNAs; (3) Chromatin immuno-precipitation (ChIP-seq) of HDAC3 at both early evening and early morning; (4) proteomics profiling with mass spectrometry; (5) snap-shot metabolomics profiling of water-soluble metabolites at the basal condition; (6) snap-shot metabolomics profiling of lipid species at the basal condition; (7) kinetic fluxomics analysis of glucose utilization using <SUP>13</SUP>C<SUB>6</SUB>-glucose <I>In vivo</I> during treadmill running exercise. These approaches have provided several novel insights into how nuclear receptors regulate circadian rhythm of skeletal muscle fuel metabolism, which has been published elsewhere. Here we present the original datasets and technical details during the execution, analysis, and interpretation of these omics studies.</P> <P><B>Highlights</B></P> <P> <UL> <LI> A mouse model with skeletal muscle-specific KO of HDAC3. </LI> <LI> <I>in vivo</I> RNA-seq, GRO-seq, and ChIP-seq identified relevance to circadian clock. </LI> <LI> Total proteome profiling in muscle samples. </LI> <LI> Metabolomics profiling identified disruption of BCAAs metabolism. </LI> <LI> Fluxomics with <SUP>13</SUP>C-glucose <I>in vivo</I> during treadmill running. </LI> </UL> </P>