COHOMOLOGICAL RIGIDITY FOR TORIC FANO MANIFOLDS OF SMALL DIMENSIONS OR LARGE PICARD NUMBERS

The cohomological rigidity problem for toric manifolds asks whether toric manifolds are diffeomorphic (or homeomorphic) if their integral cohomology rings are isomorphic. Many affirmative partial solutions to the problem have been obtained and no counterexample is known. In this paper, we study the diffeomorphism classification of toric Fano d-folds with d = 3, 4 or with Picard number ≥ 2d − 2. In particular, we show that those manifolds except for two toric Fano 4-folds are diffeomorphic if their integral cohomology rings are isomorphic. The exceptional two toric Fano 4-folds (their ID numbers are 50 and 57 on a list of Øbro) have isomorphic cohomology rings and their total Pontryagin classes are preserved under an isomorphism between their cohomology rings, but we do not know whether they are diffeomorphic or homeomorphic

An improved single-cell cDNA amplification method for efficient high-density oligonucleotide microarray analysis

A systems-level understanding of a small but essential population of cells in development or adulthood (e.g. somatic stem cells) requires accurate quantitative monitoring of genome-wide gene expression, ideally from single cells. We report here a strategy to globally amplify mRNAs from single cells for highly quantitative high-density oligonucleotide microarray analysis that combines a small number of directional PCR cycles with subsequent linear amplification. Using this strategy, both the representation of gene expression profiles and reproducibility between individual experiments are unambiguously improved from the original method, along with high coverage and accuracy. The immediate application of this method to single cells in the undifferentiated inner cell masses of mouse blastocysts at embryonic day (E) 3.5 revealed the presence of two populations of cells, one with primitive endoderm (PE) expression and the other with pluripotent epiblast-like gene expression. The genes expressed differentially between these two populations were well preserved in morphologically differentiated PE and epiblast in the embryos one day later (E4.5), demonstrating that the method successfully detects subtle but essential differences in gene expression at the single-cell level among seemingly homogeneous cell populations. This study provides a strategy to analyze biophysical events in medicine as well as in neural, stem cell and developmental biology, where small numbers of distinctive or diseased cells play critical roles

Quantitative Dynamics of Chromatin Remodeling during Germ Cell Specification from Mouse Embryonic Stem Cells

SummaryGerm cell specification is accompanied by epigenetic remodeling, the scale and specificity of which are unclear. Here, we quantitatively delineate chromatin dynamics during induction of mouse embryonic stem cells (ESCs) to epiblast-like cells (EpiLCs) and from there into primordial germ cell-like cells (PGCLCs), revealing large-scale reorganization of chromatin signatures including H3K27me3 and H3K9me2 patterns. EpiLCs contain abundant bivalent gene promoters characterized by low H3K27me3, indicating a state primed for differentiation. PGCLCs initially lose H3K4me3 from many bivalent genes but subsequently regain this mark with concomitant upregulation of H3K27me3, particularly at developmental regulatory genes. PGCLCs progressively lose H3K9me2, including at lamina-associated perinuclear heterochromatin, resulting in changes in nuclear architecture. T recruits H3K27ac to activate BLIMP1 and early mesodermal programs during PGCLC specification, which is followed by BLIMP1-mediated repression of a broad range of targets, possibly through recruitment and spreading of H3K27me3. These findings provide a foundation for reconstructing regulatory networks of the germline epigenome

TDRD5 is required for retrotransposon silencing, chromatoid body assembly, and spermiogenesis in mice

Tdrd5-deficient mice develop a functional haploid genome despite spermiogenesis arrest at the round spermatid stage

SC3-seq: A method for highly parallel and quantitative measurement of single-cell gene expression

Single-cell mRNA sequencing (RNA-seq) methods have undergone rapid development in recent years, and transcriptome analysis of relevant cell populations at single-cell resolution has become a key research area of biomedical sciences. We here present single-cell mRNA 3-prime end sequencing (SC3-seq), a practical methodology based on PCR amplification followed by 3-prime-end enrichment for highly quantitative, parallel and cost-effective measurement of gene expression in single cells. The SC3-seq allows excellent quantitative measurement of mRNAs ranging from the 10, 000-cell to 1-cell level, and accordingly, allows an accurate estimate of the transcript levels by a regression of the read counts of spike-in RNAs with defined copy numbers. The SC3-seq has clear advantages over other typical single-cell RNA-seq methodologies for the quantitative measurement of transcript levels and at a sequence depth required for the saturation of transcript detection. The SC3-seq distinguishes four distinct cell types in the peri-implantation mouse blastocysts. Furthermore, the SC3-seq reveals the heterogeneity in human-induced pluripotent stem cells (hiPSCs) cultured under on-feeder as well as feeder-free conditions, demonstrating a more homogeneous property of the feeder-free hiPSCs. We propose that SC3-seq might be used as a powerful strategy for single-cell transcriptome analysis in a broad range of investigations in biomedical sciences