Scaling in nature: From DNA through heartbeats to weather

S. Havlin; S. V. Buldyrev; A. Bunde; A. L. Goldberger; P. Ch Ivanov; C. K. Peng; H. E. Stanley

doi:10.1016/S0378-4371(99)00340-4

Scaling in nature: From DNA through heartbeats to weather

S. Havlin, S. V. Buldyrev, A. Bunde, A. L. Goldberger, P. Ch Ivanov, C. K. Peng, H. E. Stanley

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

81 Scopus citations

Abstract

The purpose of this report is to describe some recent progress in applying scaling concepts to various systems in nature. We review several systems characterized by scaling laws such as DNA sequences, heartbeat rates and weather variations. We discuss the finding that the exponent α quantifying the scaling in DNA in 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 scaling exponent α is smaller during sleep periods compared to wake periods. We also discuss the recent findings that suggest a universal scaling exponent characterizing the weather fluctuations.

Original language	English
Pages (from-to)	46-69
Number of pages	24
Journal	Physica A: Statistical Mechanics and its Applications
Volume	273
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(99)00340-4
State	Published - 1 Nov 1999
Event	Proceedings of the 1999 13th Max Born Symposium on 'Statistical Physics in Biology: Perspectives in DNA Analysis, Population Dynamics and Ageing' - Wroclaw, Poland Duration: 26 May 1999 → 30 May 1999

Bibliographical note

Funding Information:
We are grateful to many individuals, including R. Mantegna, F. Sciortino, M. Simons, M.G. Rosenblum, J. Fritsch-Yelle, R.M. Baevsky, L.A.N. Amaral, J. Mietus, E. Koscielny-Bunde, H.E. Roman, Y. Goldreich, H.J. Schellnhuber for major contributions to the results reviewed here which represent collaborative research efforts. We also wish to thank M. Azbel, C. Cantor, C. DeLisi, M. Frank-Kamenetskii, A. Yu. Grosberg, G. Huber, I. Labat, L. Liebovitch, G.S. Michaels, P. Munson, R. Nossal, R. Nussinov, R.D. Rosenberg, J.J. Schwartz, M. Schwartz, E.I. Shakhnovich, M.F. Shlesinger, N. Shworak, and E.N. Trifonov for valuable discussions. Partial support was provided by the National Science Foundation, National Institutes of Health (Human Genome Project), the G. Harold and Leila Y. Mathers Charitable Foundation, the National Heart, Lung and Blood Institute, the National Aeronautics and Space Administration (NASA), the Israel-USA Binational Science Foundation, and the Israel Academy of Sciences.

Keywords

DNA
Fractals
Heartbeat
Scaling
Time series
Weather

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10.1016/S0378-4371(99)00340-4

Cite this

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title = "Scaling in nature: From DNA through heartbeats to weather",

abstract = "The purpose of this report is to describe some recent progress in applying scaling concepts to various systems in nature. We review several systems characterized by scaling laws such as DNA sequences, heartbeat rates and weather variations. We discuss the finding that the exponent α quantifying the scaling in DNA in 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 scaling exponent α is smaller during sleep periods compared to wake periods. We also discuss the recent findings that suggest a universal scaling exponent characterizing the weather fluctuations.",

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note = "Funding Information: We are grateful to many individuals, including R. Mantegna, F. Sciortino, M. Simons, M.G. Rosenblum, J. Fritsch-Yelle, R.M. Baevsky, L.A.N. Amaral, J. Mietus, E. Koscielny-Bunde, H.E. Roman, Y. Goldreich, H.J. Schellnhuber for major contributions to the results reviewed here which represent collaborative research efforts. We also wish to thank M. Azbel, C. Cantor, C. DeLisi, M. Frank-Kamenetskii, A. Yu. Grosberg, G. Huber, I. Labat, L. Liebovitch, G.S. Michaels, P. Munson, R. Nossal, R. Nussinov, R.D. Rosenberg, J.J. Schwartz, M. Schwartz, E.I. Shakhnovich, M.F. Shlesinger, N. Shworak, and E.N. Trifonov for valuable discussions. Partial support was provided by the National Science Foundation, National Institutes of Health (Human Genome Project), the G. Harold and Leila Y. Mathers Charitable Foundation, the National Heart, Lung and Blood Institute, the National Aeronautics and Space Administration (NASA), the Israel-USA Binational Science Foundation, and the Israel Academy of Sciences. ; Proceedings of the 1999 13th Max Born Symposium on 'Statistical Physics in Biology: Perspectives in DNA Analysis, Population Dynamics and Ageing' ; Conference date: 26-05-1999 Through 30-05-1999",

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Scaling in nature: From DNA through heartbeats to weather

Abstract

Bibliographical note

Keywords

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