miRNAs as one of the potential therapeutic agents have been recently considered for cancer treatment. AS1411 (aptNCL) is a DNA aptamer specifically binding to nucleolin protein on the cancer cell surface with antiproliferative effect. The aim of the study was to develop a conjugate consisted of aptNCL (as targeted delivery of therapeutic agent) and miRNA let-7d (as a tumor suppressor) using two...

The locus of a point X for which the cevian triangle of X and that of its isogonal conjugate have equal areas is a cubic that passes through the 1st and 2nd Brocard points. Generalizing from isogonal conjugate to P -isoconjugate yields a cubic Z(U,P ) passing through U ; if X is on Z(U, P ) then the P isoconjugate of X is on Z(U,P ) and this point is collinear with X and U . A generalized equal...

Preconditioned conjugate gradient method is used to solve n-by-n Hermitian Toeplitz systems A n x = b. The preconditioner S n is the Strang's circulant preconditioner which is deened to be the circulant matrix that copies the central diagonals of A n. The convergence rate of the method depends on the spectrum of S ?1 n A n. Using Jackson's theorem in approximation theory, we prove that if A n h...

We derive formulas for practically computing the area of the region |F (x, y)| ≤ 1 defined by a binary quartic form F (X, Y ) ∈ R[X,Y ]. These formulas, which involve a particular hypergeometric function, are useful when estimating the number of lattice points in certain regions of the type |F (x, y)| ≤ h and will likely find application in many contexts. We also show that for forms F of arbitr...

We demonstrate one-to-one pixel–matching of phase–conjugate digital volume holographic data storage, with data pages as large as a megapel (1024 × 1024 pixels). A self–pumped phase–conjugate mirror in BaTiO3 is used to provide a phase–conjugate reference beam, which reconstructs the data–bearing object beam from a LiNbO3:Fe crystal using the 90◦ geometry. The systems tradeoffs of phase–conjugat...

Let A be a unital simple C∗-algebra with tracial rank zero and X be a compact metric space. Suppose that h1, h2 : C(X) → A are two unital monomorphisms. We show that h1 and h2 are approximately unitarily equivalent if and only if [h1] = [h2] in KL(C(X), A) and τ ◦ h1(f) = τ ◦ h2(f) for every f ∈ C(X) and every trace τ of A.Adopting a theorem of Tomiyama, we introduce a notion of approximate con...

We investigate the question of when an ergodic automorphism T is conjugate to its composition square T 2, i.e., when does there exist an automorphism S with the property that ST = T 2S. This is a non–generic property of automorphisms which seems to be quite exceptional. The situation for ergodic automorphisms having discrete spectrum and automorphisms having the weak closure property is investi...

A buffer is defined as a compound that in small concentrations can impart a resistance to large pH changes. Common buffers contain two substances, a conjugate base and a conjugate acid. There are acidic buffers that contain a weak acid and the salt of a weak acid (the conjugate base) and basic buffers that contain a weak base and the salt of a weak base (the conjugate acid). The combination of ...

‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...