Abstract

DOMINGUEZ MONTERROZA, Andy  and  GARZON-ALVARADO, Diego. Spatial fractal behavior in the lengthening of cerebral bloodstream distribution in Alzheimer disease. Rev Cubana Invest Bioméd [online]. 2011, vol.30, n.3, pp.424-438. ISSN 0864-0300.

Alzheimer disease is a neurodegenerative process affecting millions of persons at world scale. Even nowadays its causes are unknown. The fractal geometry is a mathematical theory allows to measure objectively the irregularity of objects or the natural processes; structures and physiologic behaviors of human body may be in a mathematical way be characterized through the fractal dimension, which to measure the irregularity or complexity degree of fractal. Distribution of cerebral blood flow in Alzheimer's disease is very irregular, thus the fractal dimension is an objective measure, which supposedly to quantify this distribution. The fractal expansion coefficient is defined for those dynamic objects having fractal dimension and estimates the fractal expansion on its surrounding space. This coefficient is associated with the connection that may to has the fractal for its expansion. The objective of present paperwas to determine the fractal expansion coefficients for the cerebral blood flow distribution in 21 patients presenting with Alzheimer's disease and in 11 normal subjects in the posterior and anterior cerebral zones, compared values regarding the surrounding space where expansion occur. This latter suggest the behavior of neuronal connections in assessed zones.

Keywords : Fractal; expansion fractal coefficient; Alzheimer; dementia; cerebral blood flow (CBF); blood flow.

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