where α and β are nonzero complex numbers. If α, β lie in some subfield F of C, then the representations are defined over F (in fact, over Z[α±1, β±1]). The starting point for ρn(α) is the reduced Burau representation βn : Bn → GLn−1(Z[t, t −1]). For each i ≥ 1, set K(α) = {A ∈ SLn−1(C[t, t ]) : A ≡ I mod (t− α)}. The sequence {K(α)}i≥1 is a central series inK(α) = K 1(α) (i.e., Ki+j(α) ⊇ [K(α)...

Nonlinear optical properties of a series of newly-synthesized ladder-type chromophores containing oligo-p-phenylene moiety with different π-conjugated lengths were theoretically studied by numerically solving the rate equations and the field intensity equation with an iterative predictor-corrector finite-difference time-domain technique. Ab initio calculation results show that the compounds can...

in recent years, several oconjugation protocols have been developed to improve the functional properties of the enzyme lysozyme. in this study, the optimum conditions of lysozyme – oxidized inulin conjugation and functional properties of the modified lysozyme were investigated. initially, inulin (mw about 25 kda) was oxidized by periodate to provide the reactive carbonyl groups  to attach to am...

objective: generation 5 poly (amidoamine) dendrimers are promising multipotent gene delivery vectors that provide favorable dna condensation properties; however, their high toxicity limits their applications. toxicity of pamam dendrimers depends on their type, generation and applied dosage in a way that lower generations (lower than g5 dendrimers) and anionic dendrimers have lower toxicity than...

Design, synthesis, and conjugation of mesoporous silica nanoparticles (MSNs) with biomolecules is a matter of growing interest to enhance selective uptake of contrast agents like gadolinium (Gd3+) by cancer cells. Here, by targeting xc-cystine/glutamate antiporter system in breast cancer cells, conjugation of MSN-Gd3+ with cysteine is used to enhance cancer cellular uptake of Gd3+. Reactions de...