Results 71 to 80 of about 3,849,527 (290)
Solvability of multipoint differential operators of first order
Based on methods of operator theory, we describe all boundedly solvable extensions of the minimal operator generated by a linear multipoint functional differential-operator expression of first order, in a direct sum of Hilbert space of vector ...
Zameddin I. Ismailov, Pembe Ipek
doaj
Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
wiley +1 more source
A unitary operator acting in the Krein space and possessing an invariant subspace that is maximal nonnegative and decomposes into a direct sum of a uniformly positive (i.e., equivalent to a Hilbert space with respect to the inner pseudoscalar product ...
V. A. Straus
doaj +1 more source
Accretive and nonnegative perturbations of an abstract analogy for the operator of the third boundary problem and corresponding variational problems(in Ukrainian) [PDF]
In the paper the role of initial object is played by the positively definite operator L_0 acting in a Hilbert space H. The main object of the investigation is operator L B: It is interpreted as a perturbation of some proper extension of L0. Using methods
H. M. Kachurivska, O. G. Storozh
doaj
Animals must match their growth rate to available nutrients. We show that in Drosophila larvae, the nutrient‐sensing TOR kinase controls growth by regulating levels of TFAM, a key regulator of mitochondrial function, in the adipose tissue. When nutrients are abundant, high TOR activity suppresses TFAM, lowering mitochondrial bioenergetic activity and ...
Shrivani Sriskanthadevan‐Pirahas +4 more
wiley +1 more source
Operator logarithms and exponentials [PDF]
Since Mclntosh's introduction of the ∞-calculus for sectorial operators, the topic has been studied by many authors. Haase has constructed a similar functional calculus for strip-type operators, and has also developed an abstract framework which unifies ...
Clark, Stephen
core +1 more source
Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
wiley +1 more source
High order singular rank one perturbations of a positive operator
In this paper self-adjoint realizations in Hilbert and Pontryagin spaces of the formal expression L-alpha = L + psi are discussed and compared. Here L is a positive self-adjoint operator in a Hilbert space H with inner product , a is a real parameter ...
Dijksma, A +3 more
core +1 more source
Liver organoids: modelling complexity in homeostasis and disease
Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source

