The FRIGG project: From intermediate galactic scales to self-gravitating cores

Abridged. Understanding the detailed structure of the interstellar gas is essential for our knowledge of the star formation process. The small-scale structure of the interstellar medium (ISM) is a direct consequence of the galactic scales and making the link between the two is essential. We perform adaptive mesh simulations that aim to bridge the gap between the intermediate galactic scales and the self-gravitating prestellar cores. For this purpose we use stratified supernova regulated ISM magneto-hydrodynamical (MHD) simulations at the kpc scale to set up the initial conditions. We then zoom, performing a series of concentric uniform refinement and then refining on the Jeans length for the last levels. This allows us to reach a spatial resolution of a few $10^{-3}$ pc. The cores are identified using a clump finder and various criteria based on virial analysis. Their most relevant properties are computed and, due to the large number of objects formed in the simulations, reliable statistics are obtained. The cores properties show encouraging agreements with observations. The mass spectrum presents a clear powerlaw at high masses with an exponent close to $\simeq -1.3$ and a peak at about 1-2 $M_\odot$. The velocity dispersion and the angular momentum distributions are respectively a few times the local sound speed and a few $10^{-2}$ pc km s$^{-1}$. We also find that the distribution of thermally supercritical cores present a range of magnetic mass-to-flux over critical mass-to-flux ratio which typically ranges between $\simeq$0.3 and 3.Comment: accepted for publication in A&

Fractional Hardy-Sobolev type inequalities for half spaces and John domains

As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces

Study of ambiguities of Quantum Chromodynamics predictions in hard processes

The thesis is devoted to phenomenological investigation of ambiguities of QCD predictions coming from renormalization and factorization procedures. We studied predictions for e+ e− annihilation and jet production in proton-proton collisions. In the former case, we analyzed the dependence on RS up to fourth order at low and high energy region. We particularly focused on the Principle of Minimal Sensitivity as a guide for optimal choice of renormalization scheme. It is shown that a proper choice of RS is important especially at low energies where for example commonly used MS RS implies negative and unstable predictions, and that PMS optimized result don't suffer any of these drawbacks at studied cases. In the second part of the thesis, the dependence of NLO jet cross-section on renormalization and factorization scales is studied for total energy 1.8, 7 and 14 TeV. It is shown that PMS again provides qualitatively reasonable and stable results and seems to be relevant also for processes with hadrons in initial state.

MOESM4 of Vitamin C induces specific demethylation of H3K9me2 in mouse embryonic stem cells via Kdm3a/b

Additional file 4: Figure S4. Analysis of H3K9me2 at repetitive elements in ES cells treated with vitamin C. ChIP-qPCR for H3K9me2 in ES cells ± vitamin C at the repetitive element families indicated. ChIP for IgG was performed as a negative control. Data are mean ± SD. Asterisks represent P < 0.05 by t test

MOESM1 of Vitamin C induces specific demethylation of H3K9me2 in mouse embryonic stem cells via Kdm3a/b

Additional file 1: Figure S1. Evaluation of changes in H3 PTMs following vitamin C treatment. A) Western blot for several H3 PTMs in ES cells ± vitamin C. B) Immunofluorescence for H3K9me2 and corresponding DAPI staining in untreated and vitamin C-treated ES cells. Merged images show H3K9me2 in green and DAPI staining in red. H3K9me2 immunofluorescence is also shown in Fig. 1e. Scale bar represents 20 μm

MOESM2 of Vitamin C induces specific demethylation of H3K9me2 in mouse embryonic stem cells via Kdm3a/b

Additional file 2: Figure S2. Analysis of H3K9me2 in G9a and GLP knockout ES cells treated with vitamin C. A) Western blot for H3K9me2 in wild-type parental TT2, G9a knockout, and GLP knockout ES cells ± vitamin C. B) Immunofluorescence for H3K9me2 in GiP ES cells ± vitamin C and untreated wild-type TT2, G9a knockout, and GLP knockout ES cells. GiP ES cells treated with vitamin C show a H3K9me2 staining pattern that is similar to G9a and GLP knockout ES cells. Scale bar represents 20 μm

MOESM2 of Comprehensive analysis of histone post-translational modifications in mouse and human male germ cells

Additional file 2. Relative abundance of additional histone PTMs on H3 in human sperm. Dotplot demonstrating relative abundance of individual and combinatorial PTMs on H3 in different individual sperm samples

Additional file 1: of Mapping H4K20me3 onto the chromatin landscape of senescent cells indicates a function in control of cell senescence and tumor suppression through preservation of genetic and epigenetic stability

Six additional supplementary figures and legends. (PDF 10.1 MB

Additional file 3: Dataset 1. of Mapping H4K20me3 onto the chromatin landscape of senescent cells indicates a function in control of cell senescence and tumor suppression through preservation of genetic and epigenetic stability

Ranked list of the 500 genes containing the greatest H4K20me3 enrichment in RS cells. Dataset 2. Ranked list of the 500 genes containing the greatest H4K20me3 enrichment in OIS cells. (XLS 109 kb