Results 61 to 70 of about 2,762,818 (340)
Boundedness of the numerical range
AbstractThe smallest rectangle containing the numerical range of a real matrix is determined.
openaire +2 more sources
In vivo IL‐10 produced by tissue‐resident tolDC is involved in maintaining/inducing tolerance. Depending on the agent used for ex vivo tolDC generation, cells acquire common features but prime T cells towards anergy, FOXP3+ Tregs, or Tr1 cells according to the levels of IL‐10 produced. Ex vivo‐induced tolDC were administered to patients to re‐establish/
Konstantina Morali+3 more
wiley +1 more source
Continuous Selections of the Inverse Numerical Range Map
For a complex $n$-by-$n$ matrix $A$, the numerical range $F(A)$ is the range of the map $f_A(x) = x^*A x$ acting on the unit sphere in $\C^n$. We ask whether the multivalued inverse numerical range map $f_A^{-1}$ has a continuous single-valued selection ...
Lins, Brian, Parihar, Parth
core +1 more source
On the generalized numerical range [PDF]
Let Ak , k − 1, …, m be n × n Hermitian matrices and let have components fk (x) = xHAkx, k=1,…,m. When n ⩾ 3 and m = 3, the set W(A1 … Am )= |f(x) x 2 − 1 | is convex. This property does not hold in general when m > 3. These particular cases of known results are proven here using a direct, geometric approach. A geometric characterizarion of the contact
Michael K-H. Fan, André L. Tits
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Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia
This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley +1 more source
Inertial range scaling in numerical turbulence with hyperviscosity
Numerical turbulence with hyperviscosity is studied and compared with direct simulations using ordinary viscosity and data from wind tunnel experiments. It is shown that the inertial range scaling is similar in all three cases.
A. Brandenburg+7 more
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Low‐density lipoprotein receptor‐related protein 6 (LRP6) is a key receptor for the Wnt antagonist Dickkopf1 (DKK1). DKK1 protein expression is induced in a bleomycin (BLM)‐induced lung injury model. We show that DKK1 induces proinflammatory and profibrotic genes in lung fibroblasts.
Eun‐Ah Sung+6 more
wiley +1 more source
LHCPs are transported to the thylakoid membrane via the (cp)SRP pathway. This process involves a transit complex of (cp)SRP43, (cp)SRP54 and LHCP, which interacts with (cp)FtsY and Alb3 at the membrane. GTP hydrolysis by (cp)SRP54 and (cp)FtsY triggers complex dissociation.
Victor Zegarra+7 more
wiley +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
An octagon containing the numerical range of a bounded linear operator [PDF]
A polygon is derived that contains the numerical range of a bounded linear operator on a complex Hilbert space, using only norms. In its most general form, the polygon is an octagon, symmetric with respect to the origin, and tangent to the closure of the numerical range in at least four points when the spectral norm is used.
arxiv