Fractal physiology refers to the study of physiological systems using complexity science methods, such as chaos measure, entropy, and fractal dimensions. The underlying assumption is that biological systems are complex and exhibit non-linear patterns of activity, and that characterizing that complexity (using dedicated mathematical approaches) is useful to understand, and make inferences and predictions about the system.[1]
^Bassingthwaighte, James B. (1994). Fractal physiology. New York: Published for the American Physiological Society by Oxford University Press. ISBN 0195080130.
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Fractalphysiology refers to the study of physiological systems using complexity science methods, such as chaos measure, entropy, and fractal dimensions...
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding...
these patterns has found fractal curves in such diverse fields as economics, fluid mechanics, geomorphology, human physiology and linguistics. As examples...
fractal dimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern...
emerging field of fractalphysiology, bodily signals, such as heart rate or brain activity, are characterized using entropy or fractal indices. The goal...
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Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations...
Fractal expressionism is used to distinguish fractal art generated directly by artists from fractal art generated using mathematics and/or computers....
In geometry, a fractal canopy, a type of fractal tree, is one of the easiest-to-create types of fractals. Each canopy is created by splitting a line segment...
Lyapunov fractals were discovered in the late 1980s by the Germano-Chilean physicist Mario Markus from the Max Planck Institute of Molecular Physiology. They...
functions used for fractalphysiology, allowing the computation of various measures of complexity (including entropy and fractal dimensions). The software...
A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics;...
"Perceptual and Physiological Responses to Jackson Pollock's Fractals", Frontiers in Human Neuroscience, vol. 5 1–13 (2011) R.P. Taylor et al, in Fractal Geometry...
American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth patterns. Mathematics, physics and chemistry...
particular metabolic constraint model, where the structure was suggested to be "fractal" in nature. However, research by Besford et al used small angle X-ray scattering...
"Application of Top-Down and Bottom-up Systems Approaches in Ruminant Physiology and Metabolism". Current Genomics. 13 (5): 379–394. doi:10.2174/138920212801619269...
surface is sculpted into microscopic, regular, elevated areas, sometimes in fractal patterns, too high and too closely spaced for the surface tension of the...
designs are composite fractal patterns consisting of individual fractal ‘tree-seeds’ which combine to create a ‘global fractal forest.’ The local ‘tree-seed’...
interface between intracardiac flow and the compact myocardium. Their fractal branching pattern helps to maintain cardiac performance in both healthy...
analysis: A scale-free view on neuronal oscillations, Frontiers in FractalPhysiology, 2012 Free and open-source software portal Other open-source toolboxes...
ratio called the fractal dimension. It is believed that the fractal pattern offers a range of fine and gross control tuning. Fractal dimension is altered...
measurements of the complexity of algorithms and of geometric objects called fractals. They help to describe frequency ratios of musical intervals, appear in...
Stochastic processes Optimal maintenance Dynamical systems Chaos theory Fractal geometry Mathematical physics Quantum mechanics Quantum field theory Quantum...
Combinatorics (outline) Coding theory Cryptography Dynamical systems Chaos theory Fractal geometry Game theory Graph theory Information theory Mathematical physics...
nucleoplasm. In addition, given that the chromatin molecule is fragmented, its fractal properties need to be considered. After calculating the search time for...
length scale between the hyaluronic acid molecules and the emergence of a fractal clustering, which is due to the strong solvation of these molecules. Hyaluronic...
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