The main purpose of this study is aimed at developing new criteria the iterative nature to test asymptotic and oscillation nonlinear neutral delay differential equations third order with noncanonical operator (a(ι)[(b(ι)x(ι)+p(ι)x(ι−τ)′)′]β)′+∫cdq(ι,μ)xβ(σ(ι,μ))dμ=0, where ι≥ι0 w(ι):=x(ι)+p(ι)x(ι−τ). New results are established by using generalized Riccati technique under assumption ∫ι0ιa−1/β(s...

The binding ability of anti-insulin-like growth factor Ι receptor (IGF-ΙR) single-chain variable fragments (scFvs) to IGF-IR was measured in the presence of plant lectins. Combinations of concanavalin A (Con A), wheat germ agglutinin (WGA), or peanut agglutinin (PNA) and 1H7 or 3B7 anti-IGF-ΙR scFv/phage antibodies that were previously produced and characterized were used. WGA inhibited binding...

The oscillation of differential equations plays an important role in many applications physics, biology and engineering. symmetry helps to deciding the right way study oscillatory behavior solutions this equations. purpose article is establish new properties which describe both necessary sufficient conditions for a class nonlinear second-order with neutral term mixed delays form p(ι)w′(ι)α′+r(ι...

In this paper we generalize the notion of an ι-symmetric word, from an antimorphic involution, to an arbitrary involution ι as follows: a nonempty word w is said to be ι-symmetric if w = αβ = ι(βα) for some words α, β . We propose the notion of ιtwin-roots (x, y) of an ι-symmetric wordw. We prove the existence and uniqueness of the ι-twin-roots of an ι-symmetric word, and show that the left fac...

Vertigan has shown that if M is a binary matroid, then |TM(−ι, ι)|, the modulus of the Tutte polynomial of M as evaluated in (−ι, ι), can be expressed in terms of the bicycle dimension of M . In this paper, we describe how the argument of the complex number TM(−ι, ι) depends on a certain Z/4Z-valued quadratic form that is canonically associated with M . We show how to evaluate TM(−ι, ι) in poly...

We prove that the sequential functionals of some fixed types at type level 2, taking finite sequences of unary functions as arguments, form a directed complete partial ordering. This gives a full characterisation of the types for which the partially ordered set of sequential functionals has this property. As a tool, we prove a normal form theorem for the finite sequential functionals of the typ...

If G=(VG,EG) is a graph of order n, we call S⊆VG an isolating set if the induced by VG−NG[S] contains no edges. The minimum cardinality G called isolation number G, and it denoted ι(G). It known that ι(G)≤n3 bound sharp. A subset dominating in NG[S]=VG. domination number, γ(G). In this paper, analyze family trees T where ι(T)=γ(T), prove ι(T)=n3 implies ι(T)=γ(T). Moreover, give different equiv...

DNA polymerase iota (Pol ι) is an error-prone DNA polymerase involved in translesion DNA synthesis (TLS) that contributes to the accumulation of DNA mutations. We recently showed that Pol ι is overexpressed in human esophageal squamous cell cancer (ESCC) tissues which promotes ESCC' progression. The present study was aimed at investigating the molecular mechanisms by which Pol ι enhances the in...

The objective of this research was to study the potential function of protein kinase C (PKC)-ι in cell cycle progression and proliferation in glioblastoma. PKC-ι is highly overexpressed in human glioma and benign and malignant meningioma; however, little is understood about its role in regulating cell proliferation of glioblastoma. Several upstream molecular aberrations and/or loss of PTEN have...

Low birth weight (LBWT) is consistently associated with impaired postnatal muscle growth in mammals. Satellite cell (SC)-mediated myonuclear incorporation precedes protein accumulation in the early stages of postnatal muscle development and growth. The objective of this study was to investigate proliferation and differentiation of SCs and the regulation of protein synthesis signaling in respons...