Results 11 to 20 of about 24,533 (190)

Compositions inside a rectangle and unimodality [PDF]

, 2007
Let c^{k,l}(n) be the number of compositions (ordered partitions) of the integer n whose Ferrers diagram fits inside a k-by-l rectangle. The purpose of this note is to give a simple, algebraic proof of a conjecture of Vatter that the sequence c^{k,l}(0),
Sagan, Bruce E.
core   +4 more sources

Measures on Boolean algebras

, 2017
We present a necessary and sufficient condition for a Boolean algebra to carry a finitely additive ...
Jech, Thomas
core   +1 more source

Regularity of Tor for weakly stable ideals [PDF]

, 2015
It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R=k[x_1,\ldots,x_n]$, with $k$ a field, then the regularity of $\text{Tor}^R_i(R/I,R/J)$ has the expected upper bound.
Ansaldi, Katie, Clarke, Nicholas, Ferraro, Luigi   +2 more
core   +3 more sources

Crucial parameters for precise copy number variation detection in formalin‐fixed paraffin‐embedded solid cancer samples

Molecular Oncology, EarlyView.
This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris, Vasiliki Siozopoulou, Léon C van Kempen, Anne Sieben, Ella Roelant, Stig Hellemans, Elyne Backx, Laure Sorber, Koen De Winne, Senada Koljenović, Karen Zwaenepoel   +10 more
wiley   +1 more source

Multigraded Castelnuovo-Mumford Regularity

, 2003
We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian group.
Bayer D., Bayer D., Billera L. J., Bruns W., Chipalkatti J. V., D., D., Diane Maclagan, Ein L., Eisenbud D., Eisenbud D., Gotzmann G., Gregory G. Smith, Gruson L., Hausel T., Pareschi G., Reiner V.   +16 more
core   +3 more sources

TRAIL‐PEG‐Apt‐PLGA nanosystem as an aptamer‐targeted drug delivery system potential for triple‐negative breast cancer therapy using in vivo mouse model

Molecular Oncology, EarlyView.
Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat, Aslihan Kucuk, Omer Erdogan, Samed Ozer, Bensu Kozan, Tugba Cuceli, Erkan Gumus, Evrim Cevik, Ozge Cevik   +8 more
wiley   +1 more source

KLK7 overexpression promotes an aggressive phenotype and facilitates peritoneal dissemination in colorectal cancer cells

FEBS Open Bio, EarlyView.
KLK7, a tissue kallikrein‐related peptidase, is elevated in advanced colorectal cancer and associated with shorter survival. High KLK7 levels in ascites correlate with peritoneal metastasis. In mice, KLK7 overexpression increases metastasis. In vitro, KLK7 enhances cancer cell proliferation, migration, adhesion, and spheroid formation, driving ...
Yosr Z. Haffani, Tobias Dreyer, Meriem Naim, Rea Lo Dico, Natalia A. Ignatenko, Viktor Magdolen, Dalila Darmoul   +6 more
wiley   +1 more source

YIPFα1A expression is regulated by multilayered molecular mechanisms

FEBS Open Bio, EarlyView.
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji, Yurika Nakanishi, Nobuhiro Nakamura   +2 more
wiley   +1 more source

L∞ spaces and derived loop spaces [PDF]

, 2014
a
Grady, R., Gwilliam, O.
core  

On homogeneous CR manifolds and their CR algebras

, 2005
In this paper we show some results on homogeneous CR manifolds, proved by introducing their associated CR algebras. In particular, we give different notions of nondegeneracy (generalizing the usual notion for the Levi form) which correspond to ...
Altomani A., ANDREA ALTOMANI, Araki S., Azad H., COSTANTINO MEDORI, Medori C., Tanaka N.   +6 more
core   +1 more source