Two common features in human immunodeficiency virus infection and acquired immunodeficiency syndrome, rheumatoid arthritis, and hematologic malignancies including multiple myeloma are elevated serum levels of 2microglobulin ( 2M) and activation or inhibition of the immune system. We hypothesized that 2M at high concentrations may have a negative impact on the immune system. In this study, we ex...

Pregnancy-associated plasma protein-A (PAPP-A) has been purified by a combination of methods including antibody-affinity chromatography. The resultant protein, obtained in 16% yield from maternal serum, appeared as a single major component on non-denaturing polyacrylamide and SDS/polyacrylamide gel electrophoresis. The protein showed a single component when analysed by isoelectric focusing unde...

We study some properties of positive solutions to the higher order conformally invariant equation with a singular set $$\begin{aligned} (-\Delta )^m u = u^{\frac{n+2m}{n-2m}} ~~~~~~ \text {in} ~ \Omega \backslash \Lambda , \end{aligned}$$ where $$\Omega \subset {\mathbb {R}}^n$$ is an open domain, $$\Lambda $$ closed subset $${\mathbb $$1 \le m < n/2$$ and integer. first establish local estimat...

For all m > 1 and k > 2, we construct closed 2-cell embeddings of the complete graph K8km+4k+1 with faces of size 4k in orientable surfaces. Moreover, we show that when k > 3 there are at least (2m − 1)!/2(2m + 1) = 22mlog2m−O(m) nonisomorphic embeddings of this type. We also show that when k = 2 there are at least 1 4π 1 2m− 5 4 ( 4m e2 ) √ m (1− o(1)) nonisomorphic embeddings of this type.

Abstract. We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant evaluation of Frobenius. As a limit case, we obtain exact formulas for the number of representations of an arbitrary number as a sum of 4m2/d triangles, whenever d | 2m, and 4m(m + 1)/d triangles, when d | 2m or...

Let D2N be the dihedral group of order 2N , Dic4M the dicyclic group of order 4M , SD2m the semidihedral group of order 2 m, and M2m the group of order 2 m with presentation M2m = 〈α, β | α 2m−1 = β2 = 1, βαβ−1 = α2 m−2+1〉. We classify the orbits in Dn 2N , Dic n 4M , SD n 2m , and M n 2m under the Hurwitz action.

Kantor, W.M., Kerdock codes and related planes, Discrete Mathematics 106/107 (1992) 297-302. Among the many aspects of coding theory Jack van Lint has studied intensively are some generalizations of Preparata and Kerdock codes (see Baker et al. (1983), Cameron and Van Lint (1991) and Van Lint (1983)). There are still many open problems concerning these. This note is a brief discussion of proble...

Multiple myeloma (MM) staging procedures are still inadequate for detection of the optimal therapeutic procedure for an individual patient. The Durie & Salmon staging system and serum beta 2-microglobulin (beta 2M) are used worldwide because of their easy clinical application. Other prognostic parameters, such as myeloma cell proliferative activity, are of exceeding importance, but are not as s...

Let Y be an Enriques variety of complex dimension 2n − 2 with n ≥ 2. Assume that n = 2m for odd prime m. In this paper we show that Y is the quotient of a product of a Calabi-Yau manifold of dimension 2m and an irreducible holomorphic symplectic manifold of dimension 2m − 2 by an automorphism of order n acting freely. We also show that both Y and its universal cover are always projective.