WNT10B belongs to the family of WNT proteins that are implicated in a range of phenomena that are affected by the Wnt signaling pathway. Recent studies have shown that WNT10B plays a role in colorectal cancer. WNTs have been found to directly affect the stemness of the tumor cells via regulation of ASCL2. Switching off the ASCL2 literally blocks the stemness process of the tumor cells and vice ...

one of the most chemical methods for controlling of oil spills is use of dispersants, which arewidely being used worldwide. in this research, comparison of acute toxicity of crude oil of the persian gulf-khark area (co), iranian naftroob crude oil dispersant (ind), radiagreen osd dispersant crude oil (rd), themixture of crude oil and iranian naftroob dispersant ( co-ind) and crude oil with radi...

Given γ ≥ 0, let us consider the following differential inclusion (S) ẍ(t) + γ ẋ(t) + ∂Φ(x(t)) 3 0, t ∈ R+, where Φ : Rd → R ∪ {+∞} is a lower semicontinuous convex function such that int(domΦ) 6= ∅. The operator ∂Φ denotes the subdifferential of Φ. When Φ = f + δK with f : Rd → R a smooth convex function and K ⊂ Rd a closed convex set, inclusion (S) describes the motion of a discrete mechanica...

PURPOSE Hepatocyte growth factor (HGF) regulates barrier function of retinal pigment epithelial (RPE) cells. The purpose of this study was to determine whether overexpression of HGF in the RPE induces retinal detachment (RD). METHODS E1/E3-deleted adenoviral vectors encoding HGF (Ad CMV.HGF), green fluorescent protein (Ad CMV.GFP), or connective tissue growth factor (AdCMV.CTGF) were injected...

For ψ ∈ W 1,p(Ω;Rm) and g ∈ W−1,p(Ω;Rd), 1 < p < +∞, we consider a sequence of integral functionals F k : W 1,p(Ω;Rm)× Lp(Ω;Rd×n)→ [0,+∞] of the form F k (u, v) =  ∫ Ω fk(x,∇u, v) dx if u− ψ ∈W 1,p 0 (Ω;Rm) and div v = g, +∞ otherwise, where the integrands fk satisfy growth conditions of order p, uniformly in k. We prove a Γ-compactness result for F k with respect to the weak topology of W 1,...

This note gives a partial answer to a question asked during the workshop Mathematics on Shape Spaces. We will denote by Hσ the reproducing kernel Hilbert space of vector fields on R generated by a Gaussian kernel kσ(x, y) = e−‖x−y‖ /σ IdRd for a positive real parameter σ. Let us first recall an analytical characterization of the spaceHσ, denoting f̂ the Fourier transform of f ∈ L(R,R): Hσ = { f ...

We study the measure of a typical cell in a Voronoi tessellation defined by n independent random points drawn from a density f in Rd. In particular, we prove that the asymptotic distribution of the measure–with respect to dμ = f(x)dx–of the cell centered at a point x ∈ Rd is independent of x and the density f . We determine all moments of the asymptotic distribution and show that the distributi...

(1) sup λ>λ0, ε>0 ∥(−△+ V − (λ + iε) )−1∥∥ L2,σ(Rd)→L2,−σ(Rd) < ∞ provided that λ0 > 0, (1 + |x|)1+|V (x)| ∈ L∞ and σ > 12 . Here L(R) = {(1 + |x|)−σ f : f ∈ L(R)} is the usual weighted L2. The bound (1) is obtained from the same estimate for V = 0 by means of the resolvent identity. This bound for the free resolvent is related to the so called trace lemma, which refers to the statement that fo...