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Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (10), pp.2004-2047Springer
Abstract:The recently introduced concept of envelope partitioning for shape estimation within the fast Padé transform (FPT) is presently further explored and solidified. Earlier, noise-free time signals were used and the results were reported for a single model order K . Currently, p...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (5), pp.1110-1157Springer
Abstract:In order to handle encoded data from magnetic resonance spectroscopy (MRS), advanced signal processing methods are vital. This is presently carried out using the fast Padé transform (FPT) applied to in vivo MRS time signals encoded from the ovary. We examine the essential fe...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (5), pp.1067-1109Springer
Abstract:The fast Padé transform (FPT) is further optimized for encoded in vivo MRS time signals. This is achieved by a judicious combination of spectra averaging and time signal extrapolation. The motivation is in strengthening suppression of the over-sensitivity of signal processin...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (8), pp.1698-1723Springer
Abstract:A key advantage of rational polynomials as a quotient of two polynomials is their automatically built-in polar representation. Rational polynomials are thus the most suitable for describing functions with peaks, such as those in magnetic resonance spectra (MRS). The Padé app...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Nuclear Inst. and Methods in Physics Research, A(IF 1.142), 2018, Vol.878, pp.99-128Elsevier
Abstract:Abstract(#br)This paper on molecular imaging emphasizes improving specificity of magnetic resonance spectroscopy (MRS) for early cancer diagnostics by high-resolution data analysis. Sensitivity of magnetic resonance imaging (MRI) is excellent, but specificity is insufficient...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (1), pp.304-348Springer
Abstract:Abstract(#br)The fast Padé transform (FPT) was applied to magnetic resonance spectroscopic (MRS) time signals encoded in vivo on a 1.5 T scanner from the parietal-temporal brain region of a pediatric patient who had suffered cerebral asphyxia. An iterative averaging procedur...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2017, Vol.55 (1), pp.349-405Springer
Abstract:Abstract(#br)Early-stage ovarian cancer has an excellent prognosis, but due mainly to late detection, ovarian cancer remains a major cause of cancer deaths among women. In vivo magnetic resonance spectroscopy (MRS) would be an excellent candidate for early ovarian cancer det...
Author:Dževad Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2018, Vol.56 (8), pp.2133-2193Springer
Abstract:Abstract(#br)Recently, the Euler T and Lambert W transcendental functions found useful applications in cellular radiobiology. Specifically, these functions appeared in mathematical modeling of cell survival after irradiation using the formalism of chemical kinetics. An examp...
Author:Dževad Belkić , Karen Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2018, Vol.56 (8), pp.2537-2578Springer
Abstract:Abstract(#br)Of late, we have put forward a new branch called high-order derivative signal processing. This investigative strategy is universally relevant for all spectroscopies, the progress of which ultimately depends on resolution improvement and noise suppression. The hi...
Author:Dževad Belkić
Data Source:[J].Journal of Mathematical Chemistry(IF 1.226), 2019, Vol.57 (1), pp.1-58Springer
Abstract:Abstract(#br)A general quantum-mechanical formalism is reviewed for double electron capture from heliumlike atomic systems by fast nuclei. The development is carried out with and without the distorted wave theory by fulfilling the correct boundary conditions. These refer to ...

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