分形范式的复杂动力学扩展及其在生命科学中的应用
Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences
摘要：
复杂动力学分形是系统结构的一个层次结构，它是任意相互作用问题的未约化的因果概率通解（physics/0305119，physics/9806002）。这种通常的分形扩展的内在创造性决定了其指数级的高运行效率，这是生命系统的许多特定功能的基础，例如自主适应性，“有目的”的发展，智力和意识（在更高的复杂性水平）。我们更详细地概述了复杂动态分形的遗传应用，展示了基因组相互作用的主导作用，并表明，进一步逐步发展的遗传研究，以及其他生命科学的应用，应基于动态分形结构分析的相互作用过程。最后，我们总结了所获得的数学概念和方法的扩展密切相关的生物应用。
英文摘要：
Complex-dynamical fractal is a hierarchy of permanently, chaotically changing versions of system structure, obtained as the unreduced, causally probabilistic general solution of arbitrary interaction problem (physics/0305119, physics/9806002). Intrinsic creativity of this extension of usual fractality determines its exponentially high operation efficiency, which underlies many specific functions of living systems, such as autonomous adaptability, "purposeful" development, intelligence and consciousness (at higher complexity levels). We outline in more detail genetic applications of complex-dynamic fractality, demonstrate the dominating role of genome interactions, and show that further progressive development of genetic research, as well as other life-science applications, should be based on the dynamically fractal structure analysis of interaction processes involved. We finally summarise the obtained extension of mathematical concepts and approaches closely related to their biological applications.
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