 Fractals
"Fractals" is a descriptor in the National Library of Medicine's controlled vocabulary thesaurus,
MeSH (Medical Subject Headings). Descriptors are arranged in a hierarchical structure,
which enables searching at various levels of specificity.
Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time.
| Descriptor ID |
D017709
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| MeSH Number(s) |
E05.599.125 G17.290
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| Concept/Terms |
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Below are MeSH descriptors whose meaning is more general than "Fractals".
Below are MeSH descriptors whose meaning is more specific than "Fractals".
This graph shows the total number of publications written about "Fractals" by people in this website by year, and whether "Fractals" was a major or minor topic of these publications.
To see the data from this visualization as text, click here.
| Year | Major Topic | Minor Topic | Total |
|---|
| 1992 | 1 | 0 | 1 | | 1995 | 1 | 1 | 2 | | 1998 | 1 | 0 | 1 | | 2001 | 1 | 0 | 1 | | 2002 | 2 | 0 | 2 | | 2007 | 1 | 0 | 1 | | 2009 | 0 | 2 | 2 | | 2014 | 1 | 0 | 1 | | 2016 | 1 | 0 | 1 | | 2017 | 1 | 0 | 1 | | 2018 | 0 | 1 | 1 |
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Below are the most recent publications written about "Fractals" by people in Profiles.
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Li P, Yu L, Lim ASP, Buchman AS, Scheer FAJL, Shea SA, Schneider JA, Bennett DA, Hu K. Fractal regulation and incident Alzheimer's disease in elderly individuals. Alzheimers Dement. 2018 09; 14(9):1114-1125.
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Gow BJ, Hausdorff JM, Manor B, Lipsitz LA, Macklin EA, Bonato P, Novak V, Peng CK, Ahn AC, Wayne PM. Can Tai Chi training impact fractal stride time dynamics, an index of gait health, in older adults? Cross-sectional and randomized trial studies. PLoS One. 2017; 12(10):e0186212.
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Crystal HA, Holman S, Lui YW, Baird AE, Yu H, Klein R, Rojas-Soto DM, Gustafson DR, Stebbins GT. Association of the Fractal Dimension of Retinal Arteries and Veins with Quantitative Brain MRI Measures in HIV-Infected and Uninfected Women. PLoS One. 2016; 11(5):e0154858.
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Rhea CK, Kiefer AW, D'Andrea SE, Warren WH, Aaron RK. Entrainment to a real time fractal visual stimulus modulates fractal gait dynamics. Hum Mov Sci. 2014 Aug; 36:20-34.
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Hausdorff JM. Gait dynamics in Parkinson's disease: common and distinct behavior among stride length, gait variability, and fractal-like scaling. Chaos. 2009 Jun; 19(2):026113.
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Ivanov PCh, Ma QD, Bartsch RP, Hausdorff JM, Nunes Amaral LA, Schulte-Frohlinde V, Stanley HE, Yoneyama M. Levels of complexity in scale-invariant neural signals. Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Apr; 79(4 Pt 1):041920.
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Hausdorff JM. Gait dynamics, fractals and falls: finding meaning in the stride-to-stride fluctuations of human walking. Hum Mov Sci. 2007 Aug; 26(4):555-89.
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Peng CK, Mietus JE, Liu Y, Lee C, Hausdorff JM, Stanley HE, Goldberger AL, Lipsitz LA. Quantifying fractal dynamics of human respiration: age and gender effects. Ann Biomed Eng. 2002 May; 30(5):683-92.
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Goldberger AL, Amaral LA, Hausdorff JM, Ivanov PCh, Peng CK, Stanley HE. Fractal dynamics in physiology: alterations with disease and aging. Proc Natl Acad Sci U S A. 2002 Feb 19; 99 Suppl 1:2466-72.
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Hausdorff JM, Ashkenazy Y, Peng CK, Ivanov PC, Stanley HE, Goldberger AL. When human walking becomes random walking: fractal analysis and modeling of gait rhythm fluctuations. Physica A. 2001 Dec 15; 302(1-4):138-47.
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