Extracellular serratial protease (56,000 Da) is known to be cytotoxic. Fluorescein isothiocyanate-labeled protease was found to form a complex with human alpha 2-macroglobulin (alpha 2M), and this enzyme-inhibitor complex was purified. The protease was found to be internalized by fibroblasts in culture as a complex with alpha 2M, which resulted in cell destruction. Regeneration of enzyme activi...

Modularity of the design of Edon80 stream cipher allows us to define a family of stream ciphers Edon-(2m, 2k) where the value 2m is the number of internal quasigroup transformations and 2k is the bit size of the key. That allows us further to derive the distribution of the periods of the keystreams produced by every stream cipher in that family. We show that the obtained distribution is LogNorm...

Let V be a 2m-dimensional vector space over a field F (m ≥ 2) and let k ∈ {1, . . . , 2m − 1}. Let A2m−1,k denote the Grassmannian of the (k − 1)-dimensional subspaces of PG(V ) and let egr denote the Grassmann embedding of A2m−1,k into PG( ∧k V ). Let S be a regular spread of PG(V ) and let XS denote the set of all (k − 1)-dimensional subspaces of PG(V ) which contain at least one line of S. T...

We prove that every polyharmonic map u ∈ W(B, SN−1) is smooth in the critical dimension n = 2m. Moreover, in every dimension n, a weak limit u ∈ W(B, SN−1) of a sequence of polyharmonic maps uj ∈ W(B, SN−1) is also polyharmonic. The proofs are based on the equivalence of the polyharmonic map equations with a system of lower order conservation laws in divergence-like form. The proof of regularit...

The two-magnon (2M) excitation at 3000 cm(-1) in Sr14Cu24O41 two-leg ladder is studied by Raman scattering. A slight anisotropy of the superexchange coupling J(perpendicular)/J(parallel) approximately 0.8 with J(parallel) = 110+/-20 meV is proposed from the analysis of the magnetic scattering. The resonant coupling across the charge transfer gap increases the 2M intensity by orders of magnitude...

We consider number of limit cycles of perturbed quintic Hamiltonian system with perturbation in the form of (2n+2m) or (2n+2m+1) degree polynomials. We show that the perturbed system has at most n + 2m limit cycles. For m = 1 and n = 1 we showed that the perturbed system can have at most one limit cycles. If m = 1 and n = 2 we give some general conditions based on coefficients of the perturbed ...

Immunoscreening of a mycelial expression library with polyclonal antibodies raised against mycelial cell wall resulted in the detection of a cDNA encoding a heat shock protein of Candida albicans. Sequence analysis of a 0.8-kb cDNA subclone, 2M-1, revealed an open reading frame encoding 244 amino acids. Southern blot analysis with this fragment as a probe demonstrated hybridization to C. albica...

In this paper we study products and sums divisible by central binomial coefficients. We show that 2(2n+ 1) ( 2n n ) ∣∣∣∣ (6n 3n )( 3n n ) for all n = 1, 2, 3, . . . . Also, for any nonnegative integers k and n we have ( 2k k ) ∣∣∣∣ (4n+ 2k + 2 2n+ k + 1 )( 2n+ k + 1 2k )( 2n− k + 1 n ) and ( 2k k ) ∣∣∣∣ (2n+ 1)(2n n ) Cn+k ( n+ k + 1 2k ) , where Cm denotes the Catalan number 1 m+1 ( 2m m ) = (...

Let V be a 2m-dimensional vector space over a field F (m ≥ 2) and let k ∈ {1, . . . , 2m − 1}. Let A2m−1,k denote the Grassmannian of the (k − 1)-dimensional subspaces of PG(V ) and let egr denote the Grassmann embedding of A2m−1,k into PG( ∧k V ). Let S be a regular spread of PG(V ) and let XS denote the set of all (k − 1)-dimensional subspaces of PG(V ) which contain at least one line of S. T...

Let I(n) be the number of involutions in a special orthogonal group SO(n,Fq) defined over a finite field with q elements, where q is the power of an odd prime. Then the numbers I(n) form a semi-recursion, in that for m > 1 we have I(2m+ 3) = (q + 1)I(2m+ 1) + q(q − 1)I(2m− 2). We give a purely combinatorial proof of this result, and we apply it to give a universal bound for the character degree...