Fractal dimension and vessel complexity in patients with cerebral arteriovenous malformations

PLoS ONE

Volumn 7, Issue 7, 2012, Pages

  Reishofer, Gernot ^a   Koschutnig, Karl ^a,b   Enzinger, Christian ^a   Ebner, Franz ^a   Ahammer, Helmut ^a  

^a MEDICAL UNIVERSITY OF GRAZ   (Austria)

^b UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

GADOTERIDOL;

ADULT; ARTICLE; BRAIN ARTERIOVENOUS MALFORMATION; CLINICAL ARTICLE; CONTRAST ENHANCEMENT; CONTROLLED STUDY; FEMALE; FRACTAL ANALYSIS; FRACTAL DIMENSION; HUMAN; MALE; NERVOUS SYSTEM PARAMETERS; NEUROIMAGING; NUCLEAR MAGNETIC RESONANCE IMAGING; QUANTITATIVE ANALYSIS; SENSITIVITY AND SPECIFICITY; TIME OF FLIGHT NUCLEAR MAGNETIC RESONANCE IMAGING; VESSEL COMPLEXITY;

ADULT; AGED; CASE-CONTROL STUDIES; CEREBRAL ANGIOGRAPHY; CEREBRAL VEINS; CEREBROVASCULAR CIRCULATION; FEMALE; FRACTALS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; INTRACRANIAL ARTERIOVENOUS MALFORMATIONS; MAGNETIC RESONANCE IMAGING; MALE; MIDDLE AGED; MODELS, STATISTICAL; NEUROLOGY; REGRESSION ANALYSIS;

EID: 84864012289     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0041148     Document Type: Article

References (53)

1. Fleetwood IG, Steinberg GK, (2002) Arteriovenous malformations. Lancet 359: 863-873.
2. Blackburn SL, Ashley WW, Rich KM, Simpson JR, Drzymala RE, et al. (2011) Combined endovascular embolization and stereotactic radiosurgery in the treatment of large arteriovenous malformations. J Neurosurg.
3. Krings T, Hans FJ, Geibprasert S, Terbrugge K, (2010) Partial "targeted" embolisation of brain arteriovenous malformations. European Radiology 20: 2723-2731.
4. Jayaraman MV, Marcellus ML, Hamilton S, Do HM, Campbell D, et al. (2008) Neurologic complications of arteriovenous malformation embolization using liquid embolic agents. American Journal of Neuroradiology 29: 242-246.
5. Miyazaki M, Lee VS, (2008) Nonenhanced MR angiography. Radiology 248: 20-43.
6. Ozsarlak O, Van Goethem JW, Maes M, Parizel PM, (2004) MR angiography of the intracranial vessels: technical aspects and clinical applications. Neuroradiology 46: 955-972.
7. Mandelbrot B, (1967) How long is the coast of britain? Statistical self-similarity and fractional dimension. Science 156: 636-638.
8. Losa GA, (2009) The fractal geometry of life. Riv Biol 102: 29-59.
9. Theiler J, (1990) Estimating fractal dimension. Journal of the Optical Society of America a-Optics Image Science and Vision 7: 1055-1073.
10. Lopes R, Betrouni N, (2009) Fractal and multifractal analysis: A review. Medical Image Analysis 13: 634-649.
11. Zamir M, (2001) Fractal dimensions and multifractility in vascular branching. J Theor Biol 212: 183-190.
12. Ahammer H, Kroepfl JM, Hackl C, Sedivy R, (2011) Fractal dimension and image statistics of anal intraepithelial neoplasia. Chaos Solitons & Fractals 44: 86-92.
13. Yampolsky M, Salafia CM, Shlakhter O, Haas D, Eucker B, et al. (2008) Modeling the variability of shapes of a human placenta. Placenta 29: 790-797.
14. Azemin MZC, Kumar DK, Wong TY, Kawasaki R, Mitchell P, et al. (2011) Robust Methodology for Fractal Analysis of the Retinal Vasculature. Ieee Transactions on Medical Imaging 30: 243-250.
15. Baish JW, Jain RK, (2000) Fractals and cancer. Cancer Research 60: 3683-3688.
16. Stojic T, Rejin I, Rejin B, (2006) Adaptation of multifractal analysis to segmentation of microcalcifications in digital mammograms. Physica a-Statistical Mechanics and Its Applications 367: 494-508.
17. Lopes R, Ayache A, Makni N, Puech P, Villers A, et al. (2011) Prostate cancer characterization on MR images using fractal features. Medical Physics 38: 83-95.
18. Di Ieva A, Grizzi F, Tschabitscher M, Colombo P, Casali M, et al. (2010) Correlation of microvascular fractal dimension with positron emission tomography [(11)C]-methionine uptake in glioblastoma multiforme: preliminary findings. Microvasc Res 80: 267-273.
19. Fernandez E, Jelinek HF, (2001) Use of fractal theory in neuroscience: Methods, advantages, and potential problems. Methods 24: 309-321.
20. Kiselev VG, Hahn KR, Auer DP, (2003) Is the brain cortex a fractal? Neuroimage 20: 1765-1774.
21. Liu JZ, Zhang LD, Yue GH, (2003) Fractal dimension in human cerebellum measured by magnetic resonance imaging. Biophysical Journal 85: 4041-4046.
22. Im K, Lee JM, Yoon U, Shin YW, Hong SB, et al. (2006) Fractal dimension in human cortical surface: Multiple regression analysis with cortical thickness, sulcal depth, and folding area. Human Brain Mapping 27: 994-1003.
23. Esteban FJ, Sepulcre J, de Mendizabal NV, Goni J, Navas J, et al. (2007) Fractal dimension and white matter changes in multiple sclerosis. Neuroimage 36: 543-549.
24. Esteban FJ, Sepulcre J, de MirasJR, Navas J, de Mendizabal NV, et al. (2009) Fractal dimension analysis of grey matter in multiple sclerosis. Journal of the Neurological Sciences 282: 67-71.
25. Ha TH, Yoon U, Lee KJ, Shin YW, Lee JM, et al. (2005) Fractal dimension of cerebral cortical surface in schizophrenia and obsessive-compulsive disorder. Neuroscience Letters 384: 172-176.
26. King RD, Brown B, Hwang M, Jeon T, George AT, et al. (2010) Fractal dimension analysis of the cortical ribbon in mild Alzheimer's disease. Neuroimage 53: 471-479.
27. Cavallari M, Falco T, Frontali M, Romano S, Bagnato F, et al. (2011) Fractal Analysis Reveals Reduced Complexity of Retinal Vessels in CADASIL. Plos One 6.
28. Herman P, Kocsis L, Eke A, (2001) Fractal branching pattern in the pial vasculature in the cat. Journal of Cerebral Blood Flow and Metabolism 21: 741-753.
29. Kalda J, (1999) On the fractality of the biological tree-like structures. Discrete Dynamics in Nature and Society 3: 297-306.
30. Bui A, Sutalo ID, Manasseh R, Liffman K, (2009) Dynamics of pulsatile flow in fractal models of vascular branching networks. Medical & Biological Engineering & Computing 47: 763-772.
31. Meisel LV, Johnson M, Cote PJ, (1992) Box-counting multifractal analysis. Phys Rev A 45: 6989-6996.
32. Kanmani S, Rao CB, Raj B, (1993) On the computation of the Minkowski dimension using morphological operations. Journal of Microscopy-Oxford 170: 81-85.
33. Vicsek T, Family F, Meakin P, (1990) Multifractal Geometry of Diffusion-Limited-Aggregates. Europhysics Letters 12: 217-222.
34. Stosic T, Stosic BD, (2006) Multifractal analysis of human retinal vessels. IEEE Trans Med Imaging 25: 1101-1107.
35. Pietronero L, Erzan A, Evertsz C, (1988) Theory of Laplacian fractals- diffusion limited aggregation and dielectric-breakdown model. Physica A 151: 207-245.
36. Falconer K, (2003) Fractal Geometry: Mathematical Foundations and Applications: Wiley. 366 p.
37. Russell DA, Hanson JD, Ott E, (1980) Dimension of strange attractors. Physical Review Letters 45: 1175-1178.
38. Ahammer H, DeVaney TT, (2004) The influence of edge detection algorithms on the estimation of the fractal dimension of binary digital images. Chaos 14: 183-188.
39. Hentschel HGE, Procaccia I, (1983) The infinite number of generalized dimensions of fractals and strange attractors. Physica D 8: 435-444.
40. Gould DJ, Vadakkan TJ, Poche RA, Dickinson ME, (2011) Multifractal and lacunarity analysis of microvascular morphology and remodeling. Microcirculation 18: 136-151.
41. Jenkinson M, Smith S, (2001) A global optimisation method for robust affine registration of brain images. Med Image Anal 5: 143-156.
42. Stosic T, Stosic BD, (2006) Multifractal analysis of human retinal vessels. Ieee Transactions on Medical Imaging 25: 1101-1107.
43. Vicsek T, (1990) Mass Multifractals. Physica A 168: 490-497.
44. Perfect E, Tarquis AM, Bird NRA, (2009) Accuracy of Generalized Dimensions Estimated from Grayscale Images Using the Method of Moments. Fractals 17: 351-363.
45. Ahammer H, DeVaney TT, Tritthart HA, (2003) How much resolution is enough? Influence of downscaling the pixel resolution of digital images on the generalized dimensions. Physica D 181: 147-156.
46. Pruess SA, (1995) Some remarks on the numerical estimation of fractal dimension. In: Barton CC, La Pointe PR, editors. editors. Fractals in the Earth Sciences. New York: Plenum Press.
47. Peitgen H, Saupe D, (1988) The Science of Fractal Image. Berlin: Springer-Verlag. 312 p.
48. Lauwerier H, (1991) Fractals: Images of Chaos. New Jersey: Princeton University Press. 224 p.
49. Dubuc B, Quiniou JF, Roques-Carmes C, Tricot C, Zucker SW, (1989) Evaluating the fractal dimension of profiles. Phys Rev A 39: 1500-1512.
50. Soille P, Rivest JF, (1996) On the validity of fractal dimension measurements in image analysis. Journal of Visual Communication and Image Representation 7: 217-229.
51. Passat N, Ronse C, Baruthio J, Armspach JP, Maillot C, et al. (2005) Region-growing segmentation of brain vessels: an atlas-based automatic approach. J Magn Reson Imaging 21: 715-725.
52. Lesage D, Angelini ED, Bloch I, Funka-Lea G, (2009) A review of 3D vessel lumen segmentation techniques: models, features and extraction schemes. Med Image Anal 13: 819-845.
53. Gao X, Uchiyama Y, Zhou X, Hara T, Asano T, et al. (2011) A fast and fully automatic method for cerebrovascular segmentation on time-of-flight (TOF) MRA image. J Digit Imaging 24: 609-625.