Fractal approach to identify the grade of cervical cancer

Fractals

Volumn 19, Issue 1, 2011, Pages 125-139

  Jayalalitha, G ^a   Uthayakumar, R ^b  

^a RVS College of Engineering and Technology   (India)

^b GANDHIGRAM RURAL UNIVERSITY   (India)

Author keywords

Cervical Cancer; Contact Model; Epidemic Model; Fractals; Lacunarity

Indexed keywords

CYTOLOGY; DISEASES; END EFFECTORS; FRACTAL DIMENSION; GRADING;

CANCER CELLS; CELL FORMATION; CELL IMAGES; CERVICAL CANCERS; CONTACT MODELING; EPIDEMIC MODELING; FRACTAL APPROACH; FRACTAL DIMENSION METHOD; LACUNARITY; TEXTURE COMPLEXITY;

CELLS;

EID: 79952593647     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X11005154     Document Type: Article

References (18)

1. J. Ferlay et al., GLOBOCAN 2002: Cancer incidence, mortality and prevalence worldwide, IARC Cancer Base, Vol. 5 (IARC Press, Lyon, 2004).
2. P. J. Snijders, R. D. Steenbergen, D. A. Heideman and C. J. Meijer, HPV-mediated cervical carcinogenesis: Concepts and clinical implications, J. Pathol. 208(2) (2006) 152-164. (Pubitemid 43126109)
3. V. Kumar, A. K. Abbas, F. Nelson and R. N. Mitchel, Robbins Basic Pathology, 8th edn. (Saunders Elsevier, 2007) pp. 718-721.
4. J. M. Walboomers, M. V. Jacobs, M. M. Manos et al., Human papillomavirus is a necessary cause of invasive cervical cancer worldwide, J. Pathol. 189(1) (1999) 12-19. (Pubitemid 29406813)
5. C. Dolinsky, Cervical Cancer: The Basics (OncoLink, 2007).
6. G. Agustin, O. Hamid and A. El-Khoueiry, Cervical Cancer, eMedicine, WebMD, 2007.
7. H. O. Peitgen, H. Jurgens and D. Saupe, Chaos and Fractals: New Frontiers of Science (Springer, New York, 1992) pp. 202-213.
8. K. Falconer, Fractal geometry, Mathematical Foundations and Applications (John Wiley & Sons, Chichester, 1990).
9. R. Sedivy, Ch. Windischberger, K. Svozil, E. Moser and G. Breitenecker, Fractal analysis: An objective method for identifying atypical nuclei in dysplastic lesion of the cervix uteri, Gynecol. Oncol. 75(1) (1999) 78-83. (Pubitemid 29477806)
10. B. T. Milne, Application of fractal geometry in wildlife biology, in Wildlife and Landscape Ecology: Effect of Pattern and Scale (Springer-Verlag, New York, 1997) pp. 32-69.
11. W. A. Calder III, Size, Function and Life History (Dover Publications, Mineola, New York, 1996).
12. R. H. Peters, The Ecological Implications of Body Size (Cambridge University Press, New York, 1983).
13. G. B.West, J. H. Brown and B. J. Enquist, A general model for the origin of allometric scaling laws in biology, Science 276 (1997) 122-126. (Pubitemid 27161259)
14. M. Nezadal, O. Zmeskal and M. Buchnicek, The box counting: Critical study, in Proceedings of the Fourth Conference on Prediction Synergetic and More Faculty of Management, Institute of Information Technologies, Faculty of Technology, Tomas Bata University, Zlin, Vol. 8 (2001) p. 18.
15. M. Buchnicek, M. Nezadal and O. Zmeskal, Numerical calculation of fractal dimension, in Proceedings of the Third Conference on Prediction, Synergetic and More Faculty of Technology Zlin, BUT Brno (2000) pp. 10-15.
16. T. E. Harris, Contact interactions on a lattice, Ann. Probab. 2 (1974) 969-988.
17. B. B. Mandelbrot, The Fractal Geometry of Nature (W H Freeman, San Francisco, 1982) p. 460.
18. R. E. Plotnick, R. H. Gardner and R. V. O'Neill, Lacunarity indexes as measures of landscape texture, Landscape Ecol. 8(3) (1983) 201-211.