Dual optimal design and the Christoffel–Darboux polynomial

Optimal Filter Design for Polynomial Systems

In this paper, the optimal filtering problem for polynomial system states over polynomial observations is studied proceeding from the general expression for the stochastic Ito differentials of the optimal estimate and the error variance. In contrast to the previously obtained results, the paper deals with the general case of nonlinear polynomial states and observations. As a result, the Ito dif...

Dual-Target Anticancer Drug Candidates: Rational Design and Simulation Studies

This study aims to design some dual-target anticancer candidates, capable to act as an alkylating agent as well as a thymidylate synthase (TS) inhibitor. The designed scaffold is a combination of nucleobase, amino acid and aziridine structures. The candidates are docked into TS and three DNA double strand structures and evaluated based on their binding interaction energies and ligand efficienci...

A New Approach to the Numerical Solution of Dual Fully Fuzzy Polynomial Equations

A new approach to the numerical solution of system of dual fuzzy polynomial equations

Optimal Polynomial Filters

In this paper, we present a family of circular or square optimal polynomial filters for pre-filtering 2D polygons and images. The criterion of designing polynomial filters is to maximize the energy concentration within a period of the spectra of the filters. The filters are non-negative and can have arbitrary radius and order. For a given radius, the filters converge very fast when the order in...