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Zbl 0898.92001
Havlin, S.; Buldyrev, S.V.; Goldberger, A.L.; Mantegna, R.N.; Ossadnik, S.M.; Peng, C.-K.; Simons, M.; Stanley, H.E.
Fractals in biology and medicine. (English)
[J] Chaos Solitons Fractals 6, 171-201 (1995). ISSN 0960-0779

Summary: 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, with a particular focus on the long-range power-law correlations found recently in DNA sequences containing noncoding material. Furthermore, we discuss the finding that the exponent $\alpha$ quantifying these long-range correlations (``fractal complexity'') is smaller for coding than for noncoding sequences. We also discuss the application of fractal scaling analysis to the dynamics of heartbeat regulation, and report the recent finding that the normal heart is characterized by long-range ``anticorrelations'' which are absent in the diseased heart.

MSC 2000:: *92B05 General biology and biomathematics
92C40 Biochemistry, etc.
92C50 Medical appl. of mathematical biology
28A80 Fractals

Keywords: fractal geometry; long-range power-law correlations; DNA sequences; fractal scaling analysis; heartbeat regulation

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