dorsal/arxiv
View SchemaComplex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences
| Authors | Andrei P. Kirilyuk |
|---|---|
| Categories | |
| ArXiv ID | physics/0502133 |
| URL | https://arxiv.org/abs/physics/0502133 |
| Journal | Fractals in Biology and Medicine, Vol. IV, ed. by G.A. Losa, D. Merlini, T.F. Nonnenmacher, and E.R. Weibel (Birkhauser, Basel, 2005), p. 233-244 |
Abstract
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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"abstract": "Complex-dynamical fractal is a hierarchy of permanently, chaotically changing\nversions of system structure, obtained as the unreduced, causally probabilistic\ngeneral solution of arbitrary interaction problem (physics/0305119,\nphysics/9806002). Intrinsic creativity of this extension of usual fractality\ndetermines its exponentially high operation efficiency, which underlies many\nspecific functions of living systems, such as autonomous adaptability,\n\"purposeful\" development, intelligence and consciousness (at higher complexity\nlevels). We outline in more detail genetic applications of complex-dynamic\nfractality, demonstrate the dominating role of genome interactions, and show\nthat further progressive development of genetic research, as well as other\nlife-science applications, should be based on the dynamically fractal structure\nanalysis of interaction processes involved. We finally summarise the obtained\nextension of mathematical concepts and approaches closely related to their\nbiological applications.",
"arxiv_id": "physics/0502133",
"authors": [
"Andrei P. Kirilyuk"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Fractals in Biology and Medicine, Vol. IV, ed. by G.A. Losa, D.\n Merlini, T.F. Nonnenmacher, and E.R. Weibel (Birkhauser, Basel, 2005), p.\n 233-244",
"title": "Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Sciences",
"url": "https://arxiv.org/abs/physics/0502133"
},
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