[en] Fractal geometry has become very useful in the understanding of many phenomena in various fields such as astrophysics, economy or agriculture and recently in medicine. After a brief intuitive introduction to the basis of fractal geometry, the clue is made about the correlation between Df and the complexity or the irregularity of a structure. However, fractal analysis must be applied with certain caution in natural objects such as bio-medical ones. The cardio-vascular system remains one of the most important fields of application of these kinds of approach. Spectral analysis of the R-R interval, morphology of the distal coronary arteries constitute two examples. Other very interesting applications are founded in bacteriology, medical imaging or ophthalmology. In our institution, we apply fractal analysis in order to quantitate angiogenesis and other vascular processes.
Disciplines :
Biotechnology
Author, co-author :
Heymans, O.
Fissette, Jean ; Université de Liège - ULiège > Services généraux (Faculté de médecine) > Relations académiques et scientifiques (Médecine)
Vico, P.
Blacher, Silvia ; Université de Liège - ULiège > Département des sciences cliniques > Labo de biologie des tumeurs et du développement
Masset, D.
Brouers, François ; Université de Liège - ULiège > Services généraux (Faculté des sciences appliquées) > Relations académiques et scientifiques (Sciences appliquées)
Language :
English
Title :
Is Fractal Geometry Useful in Medicine and Biomedical Sciences?
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
Mandelbrot B. B. Les objets fractals, 4th edn. 1995;Champs-Flamarion, Paris.
Goldberger A. L. Application of nonlinear dynamics to clinical cardiology. Ann NY Acad Sci. 504:1987;195-213.
Goldberger A. L., Rigney D. R., Mietus J., Antmen E. M., Greewalt S. Nonlinear dynamics in sudden cardiac death syndrome: heartrate oscillations and bifurcations. Experientia. 44:1988;983-987.
Iversen P. O., Nicolaysen G. Fractals describes blood flow heterogeneity within skeletal muscle and within myocardium. Am J Physiol. 268:1995;H112-H116.
Grant P. E., Lumsden C. J. Fractal analysis of renal cortical perfusion. Invest Radiol. 29:1994;16-23.
Boxt L. M., Katz J., Leibovitch L. S., Jones R., Esser P. D., Reid L. Fractal analysis of pulmonary arteries: the fractal dimension is lower in pulmonary hypertension. J Thor Imaging. 9:1994;8-13.
Gan R. Z., Tian Y., Yen R. T., Kassar S. Morphometry of the dog pulmonary venous tree. Am J Physiol. 75:1993;432-440.
Lefebre F., Benali H., Gilles R., Kahn E., Di Paola R. A fractal approach to the segmentation of microcalcification in digital mammograms. Med Phys. 22:1995;381-390.
Caldwell C. B., Stapelton S. J., Holdsworth D. W. Characterisation of mammographic parenchymal pattern by fractal dimension. Phys Med Biol. 35:1990;235-247.
Priebe C. E., Solka J. L., Lorey R. A. The application of fractal analysis to mammographic tissue classification. Cancer Lett. 77:1994;83-189.
Honda E., Domon M., Sasaki T. A method for determination of fractal dimension of scialographic images. Invest Radiol. 26:1991;854-901.
Obert M., Pfeifer P., Sernetz M. Microbial growth patterns describes by fractal geometry. J Bacteriol. 172:1990;1180-1185.
Groslambert S., Granier S., Blacher S., Crine M. Influence of the fermenter design on filamentous bacteria: comparison between different types of impellers. Proceedings of the Sixth European Congress on Biotechnology. June 1993.
Daxer A. Characterisation of the neovascularisation process in diabetic retinopathy by means of fractal geometry: diagnostic implications. Graefe's Arch Clin Exp Ophthalmol. 231:1993;681-686.
Landini G., Rippin J. W. Fractal dimension of the epithelial-connective tissue interface in premalignant and malignant epithelial lesions of the floor of the mouth. Analyt Quantit Cytol Histol. 15:1993;144-149.
Woyshville M. J., Calabrese J. R. Quantification of occipital EEG changes in Alzheimer's disease utilizing a new metric: the fractal dimension. Biol Psych. 35:1994;381-387.
Vu M. T., Smith C. F., Burger P. C., Klintworth C. K. An evaluation of methods to quantitate the chick chorioallantoic membrane assay in angiogenesis. Lab Invest. 53:1985;499-508.
Barnhill R. L., Ryan T. K. Biochemical modulation of angiogenesis in the chorioallantoic membrane of the chick embryo. J Invest Dermatol. 81:1983;485-488.
Similar publications
Sorry the service is unavailable at the moment. Please try again later.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.
