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1

Exact quantification of time signals from magnetic resonance spectroscopy by the fast Padé transform with applications to breast cancer diagnostics

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2009

Language:

english

File:

PDF, 829 KB

english, 2009

2

The general concept of signal–noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2009

Language:

english

File:

PDF, 695 KB

english, 2009

3

Four-body methods for high-energy ion-atom collisions

Belkić, Dževad, Mančev, Ivan, Hanssen, Jocelyn

Journal:

Review of Modern Physics

Year:

2008

Language:

english

File:

PDF, 2.51 MB

english, 2008

4

Exact quantification by the nonparametric fast Padé transform using only shape estimation of high-order derivatives of envelopes

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 2.54 MB

english, 2018

5

Strikingly stable convergence of the Fast Padé Transform (FPT) for high-resolution parametric and non-parametric signal processing of Lorentzian and non-Lorentzian spectra

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2004

Language:

english

File:

PDF, 223 KB

english, 2004

6

Analytical continuation by numerical means in spectral analysis using the Fast Padé Transform (FPT)

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2004

Language:

english

File:

PDF, 245 KB

english, 2004

7

Error analysis through residual frequency spectra in the fast Padé transform (FPT)

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2004

Language:

english

File:

PDF, 253 KB

english, 2004

8

Mathematical modeling of an NMR chemistry problem in ovarian cancer diagnostics

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2008

Language:

english

File:

PDF, 670 KB

english, 2008

9

Review of theories on ionization in fast ion-atom collisions with prospects for applications to hadron therapy

Dževad Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2010

Language:

english

File:

PDF, 952 KB

english, 2010

10

Resolution enhancement as a key step towards clinical implementation of Padé-optimized magnetic resonance spectroscopy for diagnostic oncology

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2013

Language:

english

File:

PDF, 627 KB

english, 2013

11

Vector spherical harmonics and scattering integrals

Belkić, Dževad

Journal:

Physica Scripta

Year:

1992

Language:

english

File:

PDF, 840 KB

english, 1992

12

The fast Padé transform in magnetic resonance spectroscopy for potential improvements in early cancer diagnostics

Belkić, Dževad, Belkić, Karen

Journal:

Physics in Medicine and Biology

Year:

2005

Language:

english

File:

PDF, 369 KB

english, 2005

13

How the fast Padé transform handles noise for MRS data from the ovary: importance for ovarian cancer diagnostics

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2016

Language:

english

File:

PDF, 1.09 MB

english, 2016

14

Robust high-resolution quantification of time signals encoded by in vivo magnetic resonance spectroscopy

Belkić, Dževad, Belkić, Karen

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2017

Language:

english

File:

PDF, 3.07 MB

english, 2017

15

Robust identification of the cancer biomarker phosphocholine through partitioned envelopes in noisy magnetic resonance spectroscopic data by the non-parametric fast Padé transform

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2017

Language:

english

File:

PDF, 1.26 MB

english, 2017

16

Validation of reconstructed component spectra from non-parametric derivative envelopes: comparison with component lineshapes from parametric derivative estimations with the solved quantification problem

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2018

Language:

english

File:

PDF, 1.60 MB

english, 2018

17

Cross sections for electron capture from atomic hydrogen by fully stripped ions

Dževad Belkić, Robert Gayet, Antoine Salin

Journal:

Atomic Data and Nuclear Data Tables

Year:

1992

Language:

english

File:

PDF, 5.70 MB

english, 1992

18

Fast Padé transform for magnetic resonance imaging and computerized tomography

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2001

Language:

english

File:

PDF, 113 KB

english, 2001

19

Fast Padé transform for optimal quantification of time signals from magnetic resonance spectroscopy

Dževad Belkić, Karen Belkić

Journal:

International Journal of Quantum Chemistry

Year:

2005

Language:

english

File:

PDF, 242 KB

english, 2005

20

Mathematical Optimization ofin vivoNMR Chemistry Through the Fast Padé Transform: Potential Relevance for Early Breast Cancer Detection by Magnetic Resonance Spectroscopy

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2006

Language:

english

File:

PDF, 224 KB

english, 2006

21

Decisive role of mathematical methods in early cancer diagnostics: optimized Padé-based magnetic resonance spectroscopy

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2007

Language:

english

File:

PDF, 577 KB

english, 2007

22

Unequivocal disentangling genuine from spurious information in time signals: clinical relevance in cancer diagnostics through magnetic resonance spectroscopy

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2008

Language:

english

File:

PDF, 559 KB

english, 2008

23

Unequivocal resolution of multiplets in MR spectra for prostate cancer diagnostics achieved by the fast Padé transform

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2009

Language:

english

File:

PDF, 1.58 MB

english, 2009

24

Review of theories on double electron capture in fast ion-atom collisions

Dževad Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2010

Language:

english

File:

PDF, 1.33 MB

english, 2010

25

The potential for practical improvements in cancer diagnostics by mathematically-optimized magnetic resonance spectroscopy

Dževad Belkić, Karen Belkić

Journal:

Journal of Mathematical Chemistry

Year:

2011

Language:

english

File:

PDF, 896 KB

english, 2011

26

Machine accurate quantification in magnetic resonance spectroscopy

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2007

Language:

english

File:

PDF, 239 KB

english, 2007

27

Decimated signal diagonalization for obtaining the complete eigenspectra of large matrices

Dževad Belkić, Paul A. Dando, Howard S. Taylor, Jörg Main

Journal:

Chemical Physics Letters

Year:

1999

Language:

english

File:

PDF, 93 KB

english, 1999

28

Exact second-order Born approximation with correct boundary conditions for symmetric charge exchange

Belkić, Dževad

Journal:

Physical Review A

Year:

1991

Language:

english

File:

PDF, 818 KB

english, 1991

29

Critical test of first-order theories for electron transfer in collisions between multicharged ions and atomic hydrogen: The boundary condition problem

Belkić, Dzevad, Saini, Subhash, Taylor, Howard

Journal:

Physical Review A

Year:

1987

Language:

english

File:

PDF, 855 KB

english, 1987

30

Electron transfer from hydrogenlike atoms to partially and completely stripped projectiles: CDW approximation

Belkić, Dževad

Journal:

Physica Scripta

Year:

1991

Language:

english

File:

PDF, 1.01 MB

english, 1991

31

Four-body corrected first Born approximation for single-electron capture into arbitrary states of energetic projectiles

Mančev, Ivan, Milojević, Nenad, Belkić, Dževad

Journal:

Physical Review A

Year:

2012

Language:

english

File:

PDF, 433 KB

english, 2012

32

Post-collisional interaction in ion-atom collisions

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1994

Language:

english

File:

PDF, 997 KB

english, 1994

33

Double charge exchange at high impact energies

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1994

Language:

english

File:

PDF, 2.03 MB

english, 1994

34

Single and double charge exchange in fast ion-atom collisions

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1995

Language:

english

File:

PDF, 664 KB

english, 1995

35

Calculations of electron energy loss straggling

Younes Mejaddem, Dževad Belkić, Simo Hyödynmaa, Anders Brahme

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

2001

Language:

english

File:

PDF, 305 KB

english, 2001

36

Single electron detachment from H− by proton impact

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1997

Language:

english

File:

PDF, 1023 KB

english, 1997

37

Double detachment in collisions between protons and negative hydrogen ions

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1999

Language:

english

File:

PDF, 181 KB

english, 1999

38

Critical validity assessment of theoretical models: charge-exchange at intermediate and high energies

Dževad Belkić

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

1999

Language:

english

File:

PDF, 372 KB

english, 1999

39

Intermediate ionization continua for double charge exchange at high impact energies

Belkić, Dževad

Journal:

Physical Review A

Year:

1993

Language:

english

File:

PDF, 763 KB

english, 1993

40

Nonperturbative treatments of charge exchange at arbitrary energies: An alternative variational principle

Belkić, Dževad, Taylor, Howard

Journal:

Physical Review A

Year:

1989

Language:

english

File:

PDF, 592 KB

english, 1989

41

Magnetic resonance spectroscopy with high-resolution and exact quantification in the presence of noise for improving ovarian cancer detection

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2012

Language:

english

File:

PDF, 374 KB

english, 2012

42

A meta-analysis of studies using MR spectroscopy for evaluating suspicious lesions after radiation therapy of primary brain tumors

Belkić, Dževad, Belkić, Karen

Journal:

Journal of Mathematical Chemistry

Year:

2012

Language:

english

File:

PDF, 359 KB

english, 2012

43

[Advances in Quantum Chemistry] Volume 51 || Fast Padé Transform for Exact Quantification of Time Signals in Magnetic Resonance Spectroscopy

Belkić, Dževad

Year:

2006

Language:

english

File:

PDF, 1015 KB

english, 2006

44

Transfer ionization in fast ion-atom collisions: Four-body Born distorted-wave theory

Belkić, Dževad, Mančev, Ivan

Journal:

Physical Review A

Year:

2011

Language:

english

File:

PDF, 221 KB

english, 2011

45

[Advances in Quantum Chemistry] Theory of Heavy Ion Collision Physics in Hadron Therapy Volume 65 || Four-Body Theories for Transfer Ionization in Fast Ion-Atom Collisions

Belkić, Dževad

Year:

2013

Language:

english

File:

PDF, 1.12 MB

english, 2013

46

State-Selective Capture Cross Sections in Proton-Hydrogen and Proton-Helium Collisions at Intermediate and High Energies

Journal:

Physica Scripta

Year:

1989

Language:

english

File:

PDF, 595 KB

english, 1989

47

State-Selective and Total Single-Capture Cross Sections for Fast Collisions of Multiply Charged Ions with Helium Atoms

Ivan Mančev, Nenad Milojević, Dževad Belkić

Journal:

Few-Body Systems

Year:

2013

Language:

english

File:

PDF, 381 KB

english, 2013

48

Four-body model for transfer ionization in fast ion-atom collisions

Belkic-acute, Dzevad, Mancev, Ivan, Mergel, Volker

Journal:

Physical Review A

Year:

1997

Language:

english

File:

PDF, 389 KB

english, 1997

49

Symmetric double charge exchange in fast collisions of bare nuclei with heliumlike atomic systems

Belkić, Dževad

Journal:

Physical Review A

Year:

1993

Language:

english

File:

PDF, 516 KB

english, 1993

50

Electron capture by fast protons from helium, nitrogen, and oxygen: The corrected first Born approximation

Belkić, Dzevad

Journal:

Physical Review A

Year:

1988

Language:

english

File:

PDF, 1.33 MB

english, 1988