Analytical, Diagnostic and Therapeutic Techniques, and Equipment

Fractals

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.

National Library of MedicineMedical Subject Headings2026

Structured Summary

Abstract

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.

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Synonyms

1 entry terms
  • Fractal

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Aspects Covered

1 allowable subheadings

Indexed with the subheadings history.

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Indexing Annotation

patterns which look similar at different magnifications; used in math & theoret models

MeSH Record

History Note

94

MeSH Hierarchy

Tree Numbers

  1. E05.599w.125w
  2. G17w.290w

AMA Style

References

  1. National Library of Medicine. Fractals. Medical Subject Headings (MeSH). 2026. Unique ID D017709. http://id.nlm.nih.gov/mesh/2026/D017709
  2. Fractals. In: Wikipedia. https://en.wikipedia.org/wiki/Fractal
  3. Fractals. In: Wikidata. https://www.wikidata.org/wiki/Q81392