果蝇DNA碱基A、C、G、T频率分布的类量子混沌
Quantumlike Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA
摘要：
对果蝇DNA中碱基A、C、G、T频率分布的分形涨落进行连续周期图功率谱分析，发现其功率谱服从统计正态分布的普遍逆幂律形式。时空涨落功率谱的逆幂律形式是自然界动力系统的普遍现象，被认为是自组织临界性。作者发展了一个一般系统理论，它根据统计正态分布对观测到的自组织临界性提供了普遍的量化。宏观动力学系统中的自组织临界性所固有的长程关联是类量子混沌的一个特征。分形波动自组织形成一个整体的对数螺旋轨迹与准周期彭罗斯镶嵌图案的内部结构。功率谱分析解决了这样的螺旋轨迹作为一个涡流连续与嵌入的主导波段。主峰值周期是黄金分割的函数。果蝇DNA碱基序列的分形频率分布具有长程空间相关性或自组织临界性的准晶结构。DNA碱基序列结构在任何位置的修饰都可能对DNA分子的整体功能产生显著的影响。非编码内含子的存在可能不是多余的，而是用于将DNA分子中的编码外显子的有效功能组织为一个完整的单元。
英文摘要：
Continuous periodogram power spectral analyses of fractal fluctuations of frequency distributions of bases A, C, G, T in Drosophila DNA show that the power spectra follow the universal inverse power-law form of the statistical normal distribution. Inverse power-law form for power spectra of space-time fluctuations is generic to dynamical systems in nature and is identified as self-organized criticality. The author has developed a general systems theory, which provides universal quantification for observed self-organized criticality in terms of the statistical normal distribution. The long-range correlations intrinsic to self-organized criticality in macro-scale dynamical systems are a signature of quantumlike chaos. The fractal fluctuations self-organize to form an overall logarithmic spiral trajectory with the quasiperiodic Penrose tiling pattern for the internal structure. Power spectral analysis resolves such a spiral trajectory as an eddy continuum with embedded dominant wavebands. The dominant peak periodicities are functions of the golden mean. The observed fractal frequency distributions of the Drosophila DNA base sequences exhibit quasicrystalline structure with long-range spatial correlations or self-organized criticality. Modification of the DNA base sequence structure at any location may have significant noticeable effects on the function of the DNA molecule as a whole. The presence of non-coding introns may not be redundant, but serve to organize the effective functioning of the coding exons in the DNA molecule as a complete unit.
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