Age-related rarefaction in the fractal dimension of retinal vessel

Previous work suggests a general reduction in complexity with aging, referred to as the aging-complexity theory. Fractal dimension (FD) of the vessels in the retina is a global measure of the complexity of the vasculature. However, earlier works did not find any correlation between aging and FD of the retinal vasculature, in contrast to the findings of reduced complexity in other parts of the body. The authors tested the hypothesis that reduced complexity develops with advancing age in the structure of the retinal vasculature. To overcome the limitations of earlier works, a three-dimensional representation of the vasculature, together with Fourier fractal dimension (FFD) techniques, was used. Based on the analysis of 748 retinal images taken of persons aged 49-89 years, we observed a significant decrease in the FFD with aging (p < 0.0001). These data provide evidence supporting rarefaction (i.e. reduction) of the retinal vasculature with aging, consistent with observations from other human organ systems.

[1]  Roberto Marcondes Cesar Junior,et al.  Retinal vessel segmentation using the 2-D Gabor wavelet and supervised classification , 2005, IEEE Transactions on Medical Imaging.

[2]  Shankar M. Krishnan,et al.  Detection and measurement of retinal vessels in fundus images using amplitude modified second-order Gaussian filter , 2002, IEEE Transactions on Biomedical Engineering.

[3]  T. Wong,et al.  Quantitative Assessment of Early Diabetic Retinopathy Using Fractal Analysis , 2009, Diabetes Care.

[4]  Romildo de Albuquerque Nogueira,et al.  Análise fractal da vasculatura retínica: métodos de segmentação e de cálculo dimensional , 2007 .

[5]  D. T. Kaplan,et al.  Aging and the complexity of cardiovascular dynamics. , 1991, Biophysical journal.

[6]  A. Goldberger,et al.  Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence. , 1992, JAMA.

[7]  Jeffrey M. Hausdorff,et al.  Fractal dynamics in physiology: Alterations with disease and aging , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[8]  J. Kresh,et al.  Evolution in functional complexity of heart rate dynamics: a measure of cardiac allograft adaptability. , 1998, American journal of physiology. Regulatory, integrative and comparative physiology.

[9]  A. Schierwagen.  Dendritic Branching Patterns , 1987 .

[10]  P. Mitchell,et al.  The retinal vasculature as a fractal: methodology, reliability, and relationship to blood pressure. , 2008, Ophthalmology.

[11]  Thomas J. Liesegang,et al.  Retinal arteriolar narrowing and risk of coronary heart disease in men and women: The Atherosclerosis Risk in Communities Study. Wong TY, ∗ Klein R, Sharrett AR, Duncan BB, Couper DJ, Tielsch JM, Klein BEK, Hubbard LD. JAMA 2002;287:1153–1159. , 2002 .

[12]  Tien Yin Wong,et al.  Retinal arteriolar narrowing and risk of diabetes mellitus in middle-aged persons. , 2002, JAMA.

[13]  Javier Augusto Loaiza,et al.  Experimental demonstration of the fractal nature of unstable-resonator modes , 2005 .

[14]  B. Masters,et al.  Fractal analysis of the vascular tree in the human retina. , 2004, Annual review of biomedical engineering.

[15]  R. Klein,et al.  Retinal arteriolar narrowing and risk of coronary heart disease in men and women. The Atherosclerosis Risk in Communities Study. , 2002, JAMA.

[16]  B. Masters,et al.  Fractal pattern formation in human retinal vessels , 1989 .

[17]  C. Peng,et al.  What is physiologic complexity and how does it change with aging and disease? , 2002, Neurobiology of Aging.

[18]  Luigi Pannarale,et al.  Fractal and Fourier analysis of the hepatic sinusoidal network in normal and cirrhotic rat liver , 2005, Journal of anatomy.

[19]  P. Mitchell,et al.  Retinal Vascular Imaging: A New Tool in Microvascular Disease Research , 2008, Circulation. Cardiovascular imaging.

[20]  R.M. Rangayyan,et al.  Detection of Blood Vessels in the Retina Using Gabor Filters , 2007, 2007 Canadian Conference on Electrical and Computer Engineering.

[21]  L. Olsen,et al.  Chaos in biological systems. , 1985 .

[22]  A. Goldberger.  Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside , 1996, The Lancet.

[23]  J. J. Wang,et al.  Prevalence of age-related maculopathy in Australia. The Blue Mountains Eye Study. , 1995, Ophthalmology.

[24]  M. Kyriazis,et al.  Practical applications of chaos theory to the modulation of human ageing: nature prefers chaos to regularity , 2004, Biogerontology.

[25]  C. Peng,et al.  Cardiac interbeat interval dynamics from childhood to senescence : comparison of conventional and new measures based on fractals and chaos theory. , 1999, Circulation.

[26]  James E. Skinner,et al.  Low-dimensional Chaos in Biological Systems , 1994, Bio/Technology.

[27]  Fernando Oréfice,et al.  [Fractal analysis of retinal vascular tree: segmentation and estimation methods]. , 2007, Arquivos brasileiros de oftalmologia.

[28]  Tien Yin Wong,et al.  Is retinal photography useful in the measurement of stroke risk? , 2004, The Lancet Neurology.

[29]  B. Girard,et al.  Retinal microvascular abnormalities and incident stroke : the atherosclerosis risk in communities study. , 2008 .

[30]  R. Klein,et al.  Hypertensive Retinal Vessel Wall Signs in a General Older Population: The Blue Mountains Eye Study , 2003, Hypertension.