Cascade reactions are among the most powerful means to achieve construction of multiple ring systems in a single step. This tutorial review describes recent advances use polycyclization cascades natural product synthesis.

Nonlinear feedback shift registers (NFSRs) are an important type of sequence generators used for building stream ciphers. The shift register used in Grain, one of eSTREAM finalists, is a cascade connection of two NFSRs, which is also known as nonlinear product-feedback shift registers proposed in 1970. This paper provides a series of algorithms to decompose a given NFSR into a cascade connectio...

The first total synthesis of propolisbenzofuran B, a bioactive natural product isolated from honeybee propolis resin, is reported. The convergent synthesis makes use of a silicon-tether controlled oxidative ketone-ketone cross-coupling and a novel benzofuran-generating cascade reaction to deliver the core structure of the natural product from readily prepared precursors.

We consider weighted finite transition systems (wts) with weights from commutative naturally ordered semirings. Such semirings comprise distributive lattices as well as the natural numbers with ordinary addition and multiplication, and the max-plus-semiring. For these systems we explore the concepts of covering and cascade product. We show a cascade decomposition result for such wts using speci...

A concise and stereoselective construction of the tetracyclic core of lycorine-type alkaloids and the formal synthesis of α-lycorane has been achieved. The feature of the current method is the employment of a bifunctional thiourea-catalyzed cascade reaction as a powerful tool to construct the skeleton of the natural product, which is a challenging yet very rarely explored strategy. As a result,...

In this paper, optimization of a system square cascades for separation middle isotopes is introduced, and the optimal cascade use in presented. case, 130Xe which isotope, presented as an example. The isotope much more complex than that other isotopes. Grey Wolf Algorithm applied optimization, parameters feed flow rate, cut cascade, location, gas centrifuges (GC), first stage are optimized such ...