Results 91 to 100 of about 637,407 (329)
Existence and uniqueness for Mean Field Games with state constraints
In this paper, we study deterministic mean field games for agents who operate in a bounded domain. In this case, the existence and uniqueness of Nash equilibria cannot be deduced as for unrestricted state space because, for a large set of initial ...
J-M Lasry +8 more
core +1 more source
Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang +8 more
wiley +1 more source
The primary objective of this research study is to analyze a boundary problem involving Caputo fractional integro-differential equations. The focus is on a differential equation with a nonlinear right-hand side composed of two terms.
Mehboob Alam +2 more
doaj +1 more source
Tangents to subsolutions: existence and uniqueness, Part I [PDF]
There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f(D 2 u)=0. These include all the potential theories attached to calibrated geometries. This paper begins the study of tangents to the subsolutions in these theories, a topic inspired by the results of Kiselman in the classical plurisubharmonic ...
Harvey, F. Reese, Lawson, H. Blaine
openaire +5 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Existence and Uniqueness of Algebraic Closures
Summary This is the second part of a two-part article formalizing existence and uniqueness of algebraic closures, using the Mizar [2], [1] formalism. Our proof follows Artin’s classical one as presented by Lang in [3]. In the first part we proved that for a given field F there exists a field extension E such that every non-constant ...
openaire +2 more sources
PICALM::MLLT10 translocated leukemia
This comprehensive review of PICALM::MLLT10 translocated acute leukemia provides an in‐depth review of the structure and function of CALM, AF10, and the fusion oncoprotein (1). The multifaceted molecular mechanisms of oncogenesis, including nucleocytoplasmic shuttling (2), epigenetic modifications (3), and disruption of endocytosis (4), are then ...
John M. Cullen +7 more
wiley +1 more source
Existence and uniqueness theorems on certain difference-differential equations
In the present paper, existence and uniqueness theorems for the solutions of certain nonlinear difference-differential equations are established. The main tools employed in the analysis are based on the applications of the Leray-Schauder alternative ...
Baburao G. Pachpatte
doaj
Bone metastasis in prostate cancer (PCa) patients is a clinical hurdle due to the poor understanding of the supportive bone microenvironment. Here, we identify stearoyl‐CoA desaturase (SCD) as a tumor‐promoting enzyme and potential therapeutic target in bone metastatic PCa.
Alexis Wilson +7 more
wiley +1 more source

