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

Journal of Mathematical Chemistry

Volumn 45, Issue 3, 2009, Pages 790-818

  Belkić, Dževad ^a   Belkić, Karen ^a,b  

^a KAROLINSKA INSTITUTE   (Sweden)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Breast cancer; Fast Pad transform; Magnetic resonance spectroscopy; Quantification; Time signals

Indexed keywords

EID: 62949091240     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-008-9462-8     Document Type: Article

References (67)

1. Dž. Belkić K. Belkić 2007 Decisive role of mathematical methods in early cancer diagnostics J. Math. Chem. 42 1
2. S. Hankinson, D. Hunter, in Breast Cancer, ed. by H.-O. Adami, D. Hunter, D. Trichopoulos. Textbook of Cancer Epidemiology (Oxford University Press, Oxford, 2002), pp. 301-339
3. S. Masood 2007 Coming together to conquer the fight against breast cancer in countries of limited resources: the challenges and the opportunities Breast J. 13 223
4. D.M. Parkin L.M. Fernandez 2006 Use of statistics to assess the global burden of breast cancer Breast J. 12 Suppl 1 S70
5. Dž. Belkić P.A. Dando J. Main H.S. Taylor 2000 Three novel high-resolution nonlinear methods for fast signal processing J. Chem. Phys. 113 6542
6. Dž. Belkić 2001 Fast Padé Transform (FPT) for magnetic resonance imaging and computerized tomography Nucl. Instrum. Methods Phys. Res. A 471 165
7. Dž. Belkić 2004 Strikingly stable convergence of the fast Padé transform (FPT) for high-resolution parametric and non-parametric signal processing of Lorentzian and non-Lorentzian spectra Nucl. Instrum. Methods. Phys. Res. A 525 366
8. Dž. Belkić 2004 Error analysis through residual frequency spectra in the fast Padé transform (FPT) Nucl. Instrum. Methods Phys. Res. A 525 379
9. Dž. Belkić 2004 Analytical continuation by numerical means in spectral analysis using the fast Padé transform (FPT) Nucl. Instrum. Methods Phys. Res. A 525 372
10. Belkić Dž.: Quantum Mechanical Signal Processing and Spectral Analysis. Institute of Physics Publishing, Bristol (2005)
11. Dž. Belkić K. Belkić 2005 The fast Padé transform in magnetic resonance spectroscopy for potential improvements in early cancer diagnostics Phys. Med. Biol. 50 4385
12. Dž. Belkić 2006 Exact quantification of time signals in Padé-based magnetic resonance spectroscopy Phys. Med. Biol. 51 2633
13. Dž. Belkić 2006 Exponential convergence rate (the spectral convergence) of the fast Padé transform for exact quantification in magnetic resonance spectroscopy Phys. Med. Biol. 51 6483
14. Dž. Belkić, K. Belkić, The general concept of signal-noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy. J. Math. Chem. (2008) doi: 10.1007/s10910-007- 9344-5
15. Dž. Belkić, K. Belkić, Unequivocal disentangling genuine from spurious information in time signals: clinical relevance in cancer diagnostics through magnetic resonance spectroscopy. J. Math. Chem. (2008) doi: 10.1007/s10910-007-9337-4.
16. Dž. Belkić K. Belkić 2006 In vivo magnetic resonance spectroscopy by the fast Padé transform Phys. Med. Biol. 51 1049
17. Dž. Belkić 2007 Machine accurate quantification in magnetic resonance spectroscopy Nucl. Instrum. Methods Phys. Res. A 580 1034
18. Dž. Belkić 2003 Strikingly stable convergence of the fast Padé transform J. Comp. Methods Sci. Eng. 3 299
19. Dž. Belkić 2003 Padé-based magnetic resonance spectroscopy (MRS) J. Comp. Methods Sci. Eng. 3 563
20. W.W.F. Pijnappel A. van den Boogaart R. de Beer D. van Ormondt 1992 SVD-based quantification of magnetic resonance signals J. Magn. Reson. 97 122
21. M. Froissart, Approximation de Padé: application à la Physique des Particules Élémentaires, CNRS, RCP, Programme No. 25, vol. 9 (CNRS, Strasburg, 1969), p. 1
22. K. Belkić 2007 Resolution performance of the fast Padé transform: potential advantages for magnetic resonance spectroscopy in ovarian cancer diagnostics Nucl. Instrum. Methods Phys. Res. A 580 874
23. Dž. Belkić K. Belkić 2008 Mathematical modeling of an NMR chemistry problem in ovarian cancer diagnostics J. Math. Chem. 43 395
24. D. Saslow C. Boetes W. Burke S. Harms M.O. Leach C.D. Lehman 2007 American Cancer Society Breast Cancer Advisory Group. American Cancer Society guidelines for breast screening with MRI as an adjunct to mammography CA Cancer J. Clin. 57 75 89
25. D.M. Parkin F. Bray P. Pisani 2005 Global cancer statistics CA Cancer J. Clin. 55 74 108
26. K. Armstrong E. Moye S. Williams J.A. Berlin E.E. Reynolds 2007 Screening mammography in women 40 to 49 years of age: a systematic review for the American College of Physicians Ann. Intern. Med. 146 516 526
27. W.A. Berg J.D. Blume J.B. Cormack E.B. Mendelson D. Lehrer M. Bohm-Velez Pisan 2008 ACRIN 6666 Investigators. Combined screening with ultrasound and mammography vs mammography alone in women at elevated risk of breast cancer JAMA 299 2151 2163
28. N. Perry M. Broeders C. de Wolf S. Törnberg R. Holland L. von Karsa 2008 European guidelines for quality assurance in breast cancer screening and diagnosis Fourth edition-summary document. Ann. Oncol. 19 614 622
29. H. Kuni I. Schmitz-Feuerhake H. Dieckmann 2003 Mammography screening-neglected aspects of radiation risks Gesundheitswesen 65 44
30. M.P. Laderoute 2004 Improved safety and effectiveness of imaging predicted for MR mammography Br. J. Cancer 90 278
31. S. Schrading C.K. Kuhl 2008 Mammographic, US, and MR imaging phenotypes of familial breast cancer Radiology 246 58
32. M. Kriege C.T. Brekelmans H. Peterse I.M. Obdeijn C. Boetes H.M. Zonderland 2007 Tumor characteristics and detection method in the MRISC screening program for the early detection of hereditary breast cancer Breast Cancer Res. Treat. 102 357 363
33. N. Houssami R. Wilson 2007 Should women at high risk of breast cancer have screening magnetic resonance imaging (MRI)? J. Breast 16 2
34. S.J. Nass, C. Henderson, J.C. Lashof, (eds.) Mammography and Beyond: Developing Technologies for the Early Detection of Breast Cancers (National Academy Press, Washington, DC, 2001)
35. E.A. Morris 2002 Breast cancer imaging with MRI Radiol. Clin. N. Am. 40 443
36. J. Yu A. Park E. Morris L. Liberman P.I. Borgen T.A. King 2008 MRI screening in a clinic population with a family history of breast cancer Ann. Surg. Oncol. 15 452
37. A. Iglesias M. Arias P. Santiago M. Rodríguez J. Mañas C. Saborido 2007 Benign breast lesions that simulate malignancy: magnetic resonance imaging with radiologic-pathologic correlation Curr. Probl. Diagn. Radiol. 36 66
38. M.L. Essink-Bot A.J. Rijnsburger S. van Dooren H.J. de Koning C. Seynaeve 2006 Women's acceptance of MRI in breast cancer surveillance because of a familial or genetic predisposition Breast 15 673
39. M. Robson 2004 Breast cancer surveillance in women with hereditary risk due to BRCA1 or BRCA2 mutations Clin. Breast Cancer 5 260
40. K. Belkić 2004 Current dilemmas and future perspectives for breast cancer screening with a focus on optimization of magnetic resonance spectroscopic imaging by advances in signal processing Isr. Med. Assoc. J. 6 610 618
41. R. Katz-Brull P.T. Lavin R.E. Lenkinski 2002 Clinical utility of proton magnetic resonance spectroscopy in characterizing breast lesions J. Natl. Cancer Inst. 9 1197
42. L. Bartella E.A. Morris D.D. Dershaw L. Liberman S.B. Thakur C. Moskowitz J. Guido W. Huang 2006 Proton MR spectroscopy with choline peak as malignancy marker improves positive predictive value for breast cancer diagnosis: preliminary study Radiology 239 686 692
43. L. Bartella S.B. Thakur E.A. Morris D.D. Dershaw W. Huang E. Chough M.C. Cruz L. Liberman 2007 Enhancing nonmass lesions in the breast: evaluation with proton (1H) MR spectroscopy Radiology 245 80 87
44. L. Bartella W. Huang 2007 Proton (1H) MR spectroscopy of the breast Radiographics 27 Suppl 1 S241
45. S. Meisamy P.J. Bolan E.H. Baker C.T. Le F. Kelcz M.C. Lechner B.A. Luikens R.A. Carlson K.R. Brandt K.K. Amrami 2005 Adding in vivo quantitative 1H MR spectroscopy to improve diagnostic accuracy of breast MR imaging: preliminary results of observer performance study at 4.0T Radiology 236 465
46. F. Sardanelli A. Fausto F. Podo 2008 MR spectroscopy of the breast Radiol. Med. (Torino) 113 56
47. G.M. Tse D.K. Yeung A.D. King H.S. Cheung W.T. Yang 2007 In vivo proton magnetic resonance spectroscopy of breast lesions: an update Breast Cancer Res. Treat. 104 249
48. L. Kwock J.K. Smith M. Castillo M.G. Ewend F. Collichio D.E. Morris T.W. Bouldin S. Cush 2006 Clinical role of proton magnetic resonance spectroscopy in oncology: brain, breast and prostate cancer Lancet Oncol. 7 859
49. J. Hu Y. Yu Z. Kou W. Huang Q. Jiang Y. Xuan T. Li V. Sehgal C. Blake E.M. Haacke R.L. Soulen 2008 A high spatial resolution 1H magnetic resonance spectroscopic imaging technique for breast cancer with a short echo time Magn. Reson. Imaging 26 360
50. P. Stanwell C. Mountford 2007 In vivo proton MR spectroscopy of the breast Radiographics 27 Suppl 1 S253
51. M. Tozaki 2008 Proton MR spectroscopy of the breast Breast Cancer 15 218
52. L. Gluch 2005 Magnetic resonance in surgical oncology ANZ. J. Surg. 75 464
53. K. Belkić 2004 MR spectroscopic imaging in breast cancer detection: possibilities beyond the conventional theoretical framework for data analysis Nucl. Instrum. Methods Phys. Res. A. 525 313
54. Dž. Belkić K. Belkić 2006 Mathematical optimization of in vivo NMR chemistry through the fast Padé transform: potential relevance for early breast cancer detection by magnetic resonance spectroscopy J. Math. Chem. 40 85
55. I.S. Gribbestad B. Sitter S. Lundgren J. Krane D Axelson 1999 Metabolite composition in breast tumors examined by proton nuclear magnetic resonance spectroscopy Anticancer Res. 19 1737
56. M.A. Jacobs P.B. Barker P.A. Bottomley Z. Bhujwalla D.A. Bluemke 2004 Proton magnetic resonance spectroscopic imaging of human breast cancer: a preliminary study J. Magn. Reson. Imaging 19 68
57. J. Evelhoch M. Garwood D. Vigneron M. Knopp D. Sullivan A. Menkens 2005 Expanding the use of magnetic resonance in the assessment of tumor response to therapy Cancer Res. 65 7041
58. J. Frahm H. Bruhn M.L. Gyngell K.D. Merboldt W. Hanicke R. Sauter 1989 Localized high-resolution proton NMR spectroscopy using stimulated echoes: initial applications to human brain in vivo Magn. Reson. Med. 9 79
59. M.G. Swanson A.S. Zektzer Z.L. Tabatabai J. Simko S. Jarso Keshari K.R.L. Schmitt P.R. Carroll K. Shinohara D.B. Vigneron J. Kurhanewicz 2006 Quantitative analysis of prostate metabolites using 1H HR-MAS spectroscopy Magn. Reson. Med. 55 1257
60. J.W. van der Veen R. de Beer P.R. Luyten D. van Ormondt 1988 Accurate quantification of in vivo 31P NMR signals using the variable projection method and prior knowledge Magn. Reson. Med. 6 92
61. L. Vanhamme A. van den Boogaart S. van Haffel 1997 Improved method for accurate and efficient quantification of MRS data with use of prior knowledge J. Magn. Reson. 29 35
62. S.W. Provencher 1993 Estimation of metabolite concentrations from localized in vivo proton NMR spectra Magn. Reson. Med. 30 672
63. E.O. Aboagye Z.M. Bhujwalla 1999 Malignant transformation alters membrane choline phospholipid metabolism of human mammary epithelial cells Cancer Res. 59 80
64. R. Katz-Brull D. Seger D. Rivenson-Segal E. Rushkin H. Degani 2002 Metabolic markers of breast cancer: enhanced choline metabolism and reduced choline-ether-phospholipid synthesis Cancer Res. 62 1966
65. K. Glunde C. Jie Z.M. Bhujwalla 2004 Molecular causes of the aberrant choline phospholipid metabolism in breast cancer Cancer Res. 64 4270
66. U. Sharma A. Mehta V. Seenu N.R. Jagannathan 2004 Biochemical characterization of metastatic lymph nodes of breast cancer patients by in vitro 1H magnetic resonance spectroscopy: a pilot study Magn. Reson. Imaging 22 697
67. D. Rivenzon-Segal R. Margalit H. Degani 2002 Glycolysis as a metabolic marker in orthotopic breast cancer, monitored by in vivo 13C MRS Am. J. Physiol. Endocrinol. Metab. 283 E623