1. Partitions For the definition of (number) partition, Ferrers diagram and Young tableaux, conjugate partition see Chapter 6 of R. Stanley’s Algebraic Combinatorics book. This section is based (more or less) on the treatment of the book A Course in Combinatorics by Van Lint and Wilson (Chapter 15). Proposition 1.1. Let pk(n) be the number of partitions of n into at most k parts. Let p(n) be th...

Alkylating agents are generally highly reactive with DNA but demonstrate limited DNA sequence selectivity. In contrast, synthetic pyrrole-imidazole polyamides recognize specific DNA sequences with high affinity but are unable to permanently damage DNA. An eight-ring hairpin polyamide conjugated to the alkylating moiety cyclopropylpyrroloindole, related to the natural product CC-1065, affords a ...

Antibody-Drug Conjugates (ADCs) and Small Molecule-Drug (SMDCs) represent successful examples of targeted drug-delivery technologies for overcoming unwanted side effects conventional chemotherapy in cancer treatment. In both strategies, a cytotoxic payload is connected to the tumor homing moiety through linker that releases drug inside or proximity cell, represents key component final therapeut...

Basic relation between numerical range and Davis-Wielandt shell of an operator $A$ acting on a Hilbert space with orthonormal basis $xi={e_{i}|i in I}$ and its conjugate $bar{A}$ which is introduced in this paper are obtained. The results are used to study the relation between point spectrum, approximate spectrum and residual spectrum of $A$ and $bar{A}$. A necessary and sufficient condition fo...

elisa data is usually handled in the ms excel worksheets through different methods and different formulas. accurate and precise calculations of the data is time consuming and tedious. elisa analyzer was developed with a user friendly interface to streamline titration and analysis of the data obtained from elisa and improve rapid and lucid presentation of the results. the software can also help ...

The efficacy of methotrexate (MTX) as an antimetabolite chemotherapeutic agent highly depends on its blood circulation half-life. In our previous study, different conjugates of MTX (MTX-PEG) were synthesized, their physicochemical properties were investigated and MTX-PEG5000 was finally selected as optimum drug-conjugate for further investigations. In the current work, first the stability of MT...

An algorithm is described for finding the minimum of any convex, not necessarily differentiable, function f of several variables. The algorithm yields a sequence of points tending to the solution of the problem, if any, requiring only the calculation o f f and one subgradient o f f at designated points. Its rate of convergence is estimated for convex and for differentiable convex functions. For...

A series of antiviral compounds consisting of an intercalating acridine derived part, a spacer region and a reactive EDTA-derived conjugate was synthesized in an easy sequence. Suitably monoprotected 1,ω-alkyldiamines gave upon reaction with 6,9-dichloro-2-methoxyacridine (1) followed by deprotection and reaction with EDTA dianhydride the target molecules. In the presence of ascorbate a reducti...

In this paper, we present a robust timing offset estimation method using subautocorrelation functions for uniand bi-directional chirp signals. The presented timing offset estimator is designed to be applied with a generalized chirp signal sequence, which use unior bi-directional chirp symbols. Using the conjugate property of the chirp signal, the sub-autocorrelation functions are generated to b...

The antitumor antibiotic CC-1065 binds in the minor groove of double-stranded DNA, and the cyclopropapyrroloindole (CPI) subunit of the drug alkylates adjacent adenines at their N-3 position. We have attached racemic CPI to oligodeoxyribonucleotides (ODNs) via a terminal phosphorothioate at either the 3'- or 5'-end of the ODNs. These conjugates were remarkably stable in aqueous solution at neut...