Scaling in nature: from DNA through heartbeats to weather

被引:71
作者
Havlin, S [1 ]
Buldyrev, SV
Bunde, A
Goldberger, AL
Ivanov, PC
Peng, CK
Stanley, HE
机构
[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[2] Boston Univ, Dept Phys, Boston, MA 02215 USA
[3] Bar Ilan Univ, Gonda Goldschmied Ctr, IL-52900 Ramat Gan, Israel
[4] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel
[5] Univ Giessen, Inst Theoret Phys 3, D-35392 Giessen, Germany
[6] Harvard Univ, Beth Israel Hosp, Sch Med, Div Cardiovasc, Boston, MA 02215 USA
来源
PHYSICA A | 1999年 / 273卷 / 1-2期
关键词
DNA; heartbeat; weather; time series; scaling; fractals;
D O I
10.1016/S0378-4371(99)00340-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 a 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 cc 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. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:46 / 69
页数:24
相关论文
共 107 条
[11]   CHARACTERIZING LONG-RANGE CORRELATIONS IN DNA-SEQUENCES FROM WAVELET ANALYSIS [J].
ARNEODO, A ;
BACRY, E ;
GRAVES, PV ;
MUZY, JF .
PHYSICAL REVIEW LETTERS, 1995, 74 (16) :3293-3296
[12]   STATISTICAL-ANALYSIS OF DNA-SEQUENCES .1. [J].
AZBEL, MY ;
KANTOR, Y ;
VERKH, L ;
VILENKIN, A .
BIOPOLYMERS, 1982, 21 (08) :1687-1690
[13]   RANDOM 2 COMPONENT 1 DIMENSIONAL ISING-MODEL FOR HETEROPOLYMER MELTING [J].
AZBEL, MY .
PHYSICAL REVIEW LETTERS, 1973, 31 (09) :589-592
[14]  
Barabasi A-Ls, 1995, FRACTAL CONCEPTS SUR, DOI [10.1017/CBO9780511599798, DOI 10.1017/CBO9780511599798]
[15]   Avalanches in the lung: A statistical mechanical model [J].
Barabasi, AL ;
Buldyrev, SV ;
Stanley, HE ;
Suki, B .
PHYSICAL REVIEW LETTERS, 1996, 76 (12) :2192-2195
[16]  
BASSINGTHWAIGHT.JB, 1994, FRACTAL PHYSL
[17]   Effects of Amiodarone on the circadian pattern of sudden cardiac death (department of veterans affairs congestive heart failure-survival trial of antiarrhythmic therapy) [J].
Behrens, S ;
Ney, G ;
Fisher, SG ;
Fletcher, RD ;
Franz, MR ;
Singh, SN .
AMERICAN JOURNAL OF CARDIOLOGY, 1997, 80 (01) :45-48
[18]  
BERNARD C, 1878, PHENOMENES VIE
[19]  
BERNE RM, 1996, CARDIOVASCULAR PHYSL
[20]   GLOBAL FRACTAL DIMENSION OF HUMAN DNA-SEQUENCES TREATED AS PSEUDORANDOM WALKS [J].
BERTHELSEN, CL ;
GLAZIER, JA ;
SKOLNICK, MH .
PHYSICAL REVIEW A, 1992, 45 (12) :8902-8913