In this paper we consider the homogenization of evolution problem associated with a jump process that involves three different smooth kernels govern jumps to/from parts domain. We assume spacial domain is divided into sequence two subdomains $$A_n \cup B_n$$ and have kernels, one controls from $$A_n$$ to , second $$B_n$$ third governs interactions between . Assuming $$\chi _{A_n} (x) \rightarro...

Given a stable semistar operation of finite type ⋆ on an integral domain D, we show that it is possible to define in a canonical way a stable semistar operation of finite type [⋆] on the polynomial ring D[X], such that D is a ⋆-quasi-Prüfer domain if and only if each upper to zero in D[X] is a quasi-[⋆]-maximal ideal. This result completes the investigation initiated by Houston-Malik-Mott [18, ...

Let d ≥ 2 and let N(y) be the fundamental solution of the Laplace equation in R. We consider the aggregation equation ∂ρ ∂t + div(ρv) = 0, v = −∇N ∗ ρ with initial data ρ(x, 0) = χD0 where χD0 is the indicator function of a bounded domain D0 ⊂ R. We fix 0 < γ < 1 and take D0 to be a bounded C 1+γ domain (i. e. a domain with smooth boundary of class C). In this paper we prove the following theor...

We rst de ne general domain circumscription GDC and provide it with a semantics GDC subsumes existing domain circumscription proposals in that it allows varying of arbitrary predicates functions or constants to maximize the minimization of the domain of a theory We then show that for the class of semi universal theories without function symbols that the domain circumscription of such theories c...

The dosage compensation complex (DCC) binds to single X chromosomes in Drosophila males and increases the transcription level of X-linked genes by approximately twofold. Male-specific lethal 2 (MSL2) together with MSL1 mediates the initial recruitment of the DCC to high-affinity sites in the X chromosome. MSL2 contains a DNA-binding cysteine-rich CXC domain that is important for X targeting. In...

The anti-apoptotic proteins Bcl-2 and Bcl-X(L) bind and inhibit Beclin-1, an essential mediator of autophagy. Here, we demonstrate that this interaction involves a BH3 domain within Beclin-1 (residues 114-123). The physical interaction between Beclin-1 and Bcl-X(L) is lost when the BH3 domain of Beclin-1 or the BH3 receptor domain of Bcl-X(L) is mutated. Mutation of the BH3 domain of Beclin-1 o...

Background: Protein-protein interactions do not provide any direct information re‌garding the domains within the proteins that mediate the interactions. The majority of proteins are multi domain proteins and the interaction between them is often defined by the pairs of their domains. Most of the former studies focus only on interacting do‌main pairs. However they do not consider the in...

Let x = (x1, . . . , xn) denote a point in R , and dx = dx1 dx2 · · · dxn denote the volume element in R . Let u(x, t) : G → R be a time-dependent vector field defined on an open subset Ĝ of x-t-space with components ui, i = 1, . . . , n. G will be called a domain for brevity, though we do not assume that Ĝ is connected. Domains in x-space will be denoted G, in x-t-space they will be denoted Ĝ....

Myosin-X is the founding member of a novel class of unconventional myosins characterized by a tail domain containing multiple pleckstrin homology domains. We report here the full-length cDNA sequences of human and bovine myosin-X as well as the first characterization of this protein's distribution and biochemical properties. The 235 kDa myosin-X contains a head domain with <45% protein sequence...