We discuss compact four-dimensional ZN × ZM type IIB orientifolds. We take a systematic approach to classify the possible models and construct them explicitely. The supersymmetric orientifolds of this type have already been constructed some time ago. We find that there exist several consistent orientifolds for each of the discrete groups Z2 × Z2, Z2 × Z4, Z4 × Z4, Z2 × Z6, Z2 × Z ′ 6 and Z6 × Z...

We analyze the so-called word-problem for M2(Z2), the ring of 2 × 2 matrices over Z2. We prove that the term-equivalence problem for the semigroup (and so for the ring) M2(Z2) is coNP-complete.

The notion of topological entropy dimension for a Z-action has been introduced to measure the subexponential complexity of zero entropy systems. Given a Z2-action, along with a Z2-entropy dimension, we also consider a finer notion of directional entropy dimension arising from its subactions. The entropy dimension of a Z2-action and the directional entropy dimensions of its subactions satisfy ce...

The notion of topological entropy dimension for a Z-action has been introduced to measure the subexponential complexity of zero entropy systems. Given a Z2-action, along with a Z2-entropy dimension, we also consider a finer notion of directional entropy dimension arising from its subactions. The entropy dimension of a Z2-action and the directional entropy dimensions of its subactions satisfy ce...

It has been known that an effective smooth (Z2) -action on a smooth connected closed manifold M fixing a finite set can be associated to a (Z2) -colored regular graph. In this paper, we consider abstract graphs (Γ, α) of (Z2) -actions, called abstract 1-skeletons. We study when an abstract 1-skeleton is a colored graph of some (Z2) -action. We also study the existence of faces of an abstract 1-...

The surface overexpression of nucleolin provides an anchor for the specific attachment of biomolecules to cancer and angiogenic endothelial cells. The peptide F3 is a high-affinity ligand of the nucleolin receptor (NR) that has been investigated as a carrier to deliver biologically active molecules to tumors for both therapeutic and imaging applications. A site-specific PEGylated F3 derivative ...

INTRODUCTION The F3 peptide (KDEPQRRSARLSAKPAPPKPEPKPKKAPAKK), a fragment of the human high mobility group protein 2, binds nucleolin. Nucleolin is expressed in the nuclei of normal cells but is also expressed on the membrane of some cancer cells. The goal was to investigate the use of 111In-labeled F3 peptide for Auger electron-targeted radiotherapy. METHODS F3 was labeled with fluorescein i...

We compute the explicit formula of the Bergman kernel for a nonhomogeneous domain {(z1, z2) ∈ C2 : |z1|1 + |z2|2 < 1} for any positive integers q1 and q2. We also prove that among the domains Dp := {(z1, z2) ∈ C2 : |z1|1 + |z2|2 < 1} in C2 with p = (p1, p2) ∈ N2, the Bergman kernel is represented in terms of closed forms if and only if p = (p1, 1), (1, p2), or p = (2, 2).

The polysaccharides of Ganoderma lucidum (Reishi) possess immunomodulation activities; however, their mode of molecular action in regulating each cellular subset in the immune system is still not clear. Here, we investigate the function of the main polysaccharide fraction of Reishi (Reishi-F3) in B lymphocyte activation/differentiation. We find that Reishi-F3 causes mouse splenic B cell activat...