In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) is presented. The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon biorthogonal cubic Hermite spline multiwavelets approximations. The properties of biorthogonal multiwavelets are first given. The operational matrix of fractional Riemann-Lioville in...

—This paper proposes new concepts of the windowed all phase biorthogonal transform (WAPBT), which is inspired by the all phase biorthogonal transform (APBT). In the light of windowed all phase digital filter theory, windowed all phase biorthogonal transforms is proposed. The matrices of WAPBT based on DFT, WHT, DCT and IDCT are deduced, which can be used in image compression instead of the con...

In an effort to analyze molecular mechanisms of human ovarian carcinogenesis, we studied the structure and expression of the p53 gene in different cell lines established from human ovarian carcinomas. In all six lines (PA-1, Caov-3 and -4, OVCAR-3, SK-OV-3, and Kuramochi), p53 abnormalities were detected. In the SK-OV-3 cell line, Southern analysis suggested the presence of sequence deletions/r...

Serpin superfamily proteins, most of which are serine protease inhibitors, share an unusual mechanism rooted in their conserved metastable tertiary structure. Although serpins have been identified in isolated members of archea, bacteria, and plants, a remarkable expansion is found in vertebrates. The chicken protein ovalbumin, a storage protein from egg white, lacking protease inhibitory activi...

Omnidirectional video, also known as 360-degree has become increasingly popular nowadays due to its ability provide immersive and interactive visual experiences. However, the ultra high resolution spherical observation space brought by large viewing range make omnidirectional video distinctly different from traditional 2D video. To date, quality assessment (VQA) for is still an open issue. The ...

This paper is concerned with the construction of biorthogonal multiresolution analyses on [0; 1] such that the corresponding wavelets realize any desired order of moment conditions throughout the interval. Our starting point is the family of biorthogonal pairs consisting of cardinal B-splines and compactly supported dual generators on IR developed by Cohen, Daubechies and Feauveau. In contrast ...

This paper presents a construction of compactly supported biorthogonal spline wavelets in L2(IR ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets from box splines of increasing smoothness is provided. Several examples are given to illustrate the method. Key-Words:multivariate biorthogonal wavelets, multivariate wavelets, box splines,...

the angiotensin 1-7 (ang 1-7), is abundantly produced in kidneys and antagonizes the function of angiotensin ii through mas receptor (masr) or other unknown mechanisms. in the current study, the role of masr and steroid hormone estrogen on renal blood flow response to ang 1-7 administration was investigated in ovariectomized (ov) female rats. ov female wistar-rats received estradiol (500 µg/kg/...

In this work, novel atom-type-based topological indices, named AT indices, were presented as descriptors to encode structural information of a molecule at the atomic level. The descriptors were successfully used for simultaneous quantitative structure-retention relationship (QSRR) modeling of saturated alcohols on different stationary phases (SE-30, OV-3, OV-7, OV-11, OV-17 and OV-25). At first...

Biorthogonal bases of compactly-supported wavelets are characterized by the FIR perfect-reconstruction filterbanks to which they correspond. In this paper we develop explicit representations of all such filterbanks, allowing us to generate every possible biorthogonal compactly-supported wavelet basis. For these filterbanks, the product H(z) = H(z) e H(z) of the two lowpass filters must have N 2...