Multiscaled randomness: A possible source of 1/f noise in biology

Multiscaled randomness: A possible source of 1/f noise in biology
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DOI:
10.1103/physreve.54.2154
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发表时间:
1996-08-01
期刊:
影响因子:
2.4
通讯作者:
Peng, CK
Peng, CK
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Hausdorff, JM;Peng, CK

文献摘要

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我们评估的可能性,在许多生物时间序列中观察到的1/f波动的结果仅仅是从生物过程有许多不同的时间尺度的输入的事实。我们提出了一个随机模型,其输出是多个随机输入的总和(即,不同的监管机制)。我们推导出的条件下,该模型再现复杂的波动和1/f标度在生物系统中观察到的。仿真结果表明,如果模型参数是无约束的,产生1/f噪声的可能性是相当小的。因此,虽然该模型可以用于生成具有各种标度指数的1/f(beta)噪声,但在许多生物系统中观察到的1/f行为不太可能仅仅是由于这些系统受到作用于不同时间尺度的许多不同输入的调节。
We evaluate the possibility that the 1/f fluctuations observed in many biological time series result simply from the fact that biological processes have many inputs with differing time scales. We present a stochastic model whose output is the summation of multiple random inputs (i.e., different regulatory mechanisms). We derive the conditions under which the model reproduces the complex fluctuations and 1/f scaling observed in biological systems. Simulations demonstrate that if model parameters are unconstrained, the likelihood of generating 1/f noise is quite small. Thus, while the model can be used to generate 1/f(beta) noise with various scaling exponents, it is unlikely that the 1/f behavior observed in many biological systems is due only to the fact that these systems are regulated by many different inputs acting on different time scales.