Browsing by Author "Dinc, E."

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Citation - WoS: 1
Citation - Scopus: 1
Application of the Linear Principle for the Strongly-Correlated Variables: Calculations of Differences Between Spectra
(Elsevier Science Bv, 2011) Popov, I. I.; Baleanu, D.; Dinc, E.; Solak, A. O.; Eksi, H.; Guzel, R.; Nigmatullin, R. R.
In this paper the authors suggest a new method of detection of possible differences between similar near infrared (NIR) spectra based on the self-similar (fractal) property. This property is a general characteristic that belongs to a wide class of the strongly-correlated systems. As an example we take a set of NIR spectra measured for three systems: (1) glassy carbon (GC) electrodes, (2) GC electrodes affected by azobenzene (AB) substance and finally (3) films (AB-FILM). Besides the physical model that should describe the intrinsic properties of these substances we found the fitting function that follow from the linear principle for the strongly-correlated variables. This function expressed in the form of linear combination of 4 power-law functions describes with the high accuracy the integrated curves that were obtained from the averaged values of the initially measured spectra. The nine fitting parameters can be considered as the quantitative "finger prints" for detection of the differences between similar spectra. Besides this result we established the self-similar behavior of the remnant functions. In other words, the difference between the initially integrated function and its fitting function can be expressed in the form of linear combinations of periodical functions having a set of frequencies following to relationship omega(k) = omega(0)xi(k), where the initial frequency omega(0) and scaling factor xi are determined by the eigen-coordinates method. This behavior in the NIR spectra was discovered in the first time and physical reasons of such behavior merit an additional research. (C) 2011 Published by Elsevier B.V.
Citation - WoS: 7
Citation - Scopus: 12
Continuous Wavelet Transforms for Simultaneous Spectral Determination of Trimethoprim and Sulphamethoxazole in Tablets
(Springer, 2011) Kadioglu, Y.; Demirkaya, F.; Baleanu, D.; Dinc, E.
A new signal processing approach was developed to improve the simultaneous spectrophotometric determination of trimethoprim (TMP) and sulphamethoxazole (SMX) in their binary mixtures without using any chemical pre-treatment. This approach was essentially based on the continuous wavelet transform (CWT) of the absorption spectra of the target compounds and their samples. A set of continuous wavelet transforms was applied. Biorthogonal with 2.4 order (BIOR2.4), Coiflets with 2 order (COIF2), Daubechies with 3 order (DB3) and Haar (HAAR) were found to be suitable for the quantitative resolution of the two-component mixture containing TMP and SMX compounds. The confirmation of the determination results obtained by applying the BIOR2.4, COIF2, DB3 and HAAR wavelet families was achieved by first derivative spectrophotometry (DS1) analysis of the same mixtures. The validation of the above-mentioned signal processing methods was tested by analyzing various binary mixtures of the related compounds, and by using the standard addition technique. The simultaneous determination of TMP and SMX in commercial tablets was assessed by using the proposed signal processing tools.