Fractals in Biology and Medicine: From DNA to the Heartbeat

作者: Sergey V. Buldyrev , Ary L. Goldberger , Shlomo Havlin , C.-K. Peng , H. Eugene Stanley

DOI: 10.1007/978-3-642-77953-4_3

关键词: Detrended fluctuation analysisNormal heartInvasion percolationFractalDiffusion-limited aggregationHeartbeatFractal scalingComputational biology

摘要: The purpose of this chapter is to describe some recent progress in applying fractal concepts systems relevance biology and medicine. We review several biological characterized by geometry, with a particular focus on the long-range power-law correlations found recently DNA sequences containing noncoding material. Furthermore, we discuss finding that exponent quantifying these (“fractal complexity”) smaller for coding than sequences. also application scaling analysis dynamics heartbeat regulation, report normal heart “anticorrelations” which are absent diseased heart.

参考文章(127)
S. Havlin, A.-L. Barabási, S. V. Buldyrev, C. K. Peng, M. Schwartz, H. E. Stanley, T. Vicsek, Anomalous Surface Roughening: Experiment and Models Growth Patterns in Physical Sciences and Biology. pp. 85- 98 ,(1993) , 10.1007/978-1-4615-2852-4_10
Hideki Takayasu, H. Takayasu, Fractals in the Physical Sciences ,(1990)
Peo C. Koller, Chromosome Structure and Function Springer Berlin Heidelberg. pp. 1- 6 ,(1972) , 10.1007/978-3-642-80680-3_1
R. I. Kitney, O. Rompelman, The Study of heart-rate variability Clarendon Press , Oxford University Press. ,(1980)
E. W. Montroll, Joel Louis Lebowitz, From stochastics to hydrodynamics North-Holland Physics. ,(1984)
Nicole Ostrowsky, Harry Eugene Stanley, On growth and form : fractal and non-fractal patterns in physics ogff. ,vol. 100, ,(1986)
T. F. Nonnenmacher, Ewald R. Weibel, G. A. Losa, Fractals in Biology and Medicine ,(1994)