A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.

  title={A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.},
  author={Anastasia Korolj and Hau-Tieng Wu and Milica Radisic},
Optimal levels of chaos and fractality are distinctly associated with physiological health and function in natural systems. Chaos is a type of nonlinear dynamics that tends to exhibit seemingly random structures, whereas fractality is a measure of the extent of organization underlying such structures. Growing bodies of work are demonstrating both the importance of chaotic dynamics for proper function of natural systems, as well as the suitability of fractal mathematics for characterizing these… Expand
Fractal analysis of rat dermal tissue in the different injury states.
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Can fractal dimension analysis be used in quantitating collagen structure?
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Fractals and discrete dynamics associated to prime numbers
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Topology optimization method for the design of bioinspired self-similar hierarchical microstructures
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Period-doubling bifurcation analysis and chaos control for load torque using FLC
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Electroless, diffusion limited aggregation of lead dendrites
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Deterministic Chaos and Fractal Complexity in the Dynamics of Cardiovascular Behavior: Perspectives on a New Frontier
  • Vijay Sharma
  • Biology, Medicine
  • The open cardiovascular medicine journal
  • 2009
This review discusses the role of fractal structure and chaos in the cardiovascular system at the level of the heart and blood vessels, and at the cellular level and key functional consequences of these phenomena are highlighted. Expand
Fractal variability: an emergent property of complex dissipative systems.
It is hypothesized that the fractal nature of variability is a self-organizing emergent property of complex dissipative systems, precisely because it enables the system's ability to optimally dissipate energy gradients and maximize entropy production. Expand
Fractals in Biology and Medicine
Fractal Landscapes in Physiology & Medicine: Long-Range Correlations in DNA Sequences and Heart Rate Intervals, and how it can be Tuned and Measured. Expand
Fractals in biology and medicine
Our purpose is to describe some recent progress in applying fractal concepts to systems of relevance to biology and medicine. We review several biological systems characterized by fractal geometry,Expand
Fractals in physiology and medicine.
Nonlinear dynamics, a branch of the basic sciences that studies complex physical systems, offers novel approaches to long-standing problems of physiological form and function, as well as into the dynamics of healthy physiological variability. Expand
Fractal analysis of vascular networks: insights from morphogenesis.
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Physiology in fractal dimensions: Error tolerance
  • B. West
  • Mathematics, Medicine
  • Annals of Biomedical Engineering
  • 2006
The average dimensions of the branches in the tracheobronchial tree are shown to be an inverse power law of the generation number modulated by a harmonic variation, which provides a mechanism for the morphogenesis of complex structures which are more stable than those generated by classical scaling. Expand
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Applications of fractal analysis to physiology.
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