ON THE IMPLICATIONS OF THE BIOLOGICAL SYSTEMS FRACTAL MORPHO-FUNCTIONAL STRUCTURE

被引：0

作者：

Nemes, Roxana Maria ^{[1
]}

Duceac, Letitia Doina ^{[2
]}

Vasincu, Elena Geanina ^{[3
]}

Agop, Maricel ^{[4
]}

Postolache, Paraschiva ^{[5
]}

机构：

[1] Marius Nasta Pneumol Inst, Pulm Funct Tests Dept, Bucharest 050159, Romania

[2] Apollonia Univ, Preclin Dept, 16 Mus Str, Iasi 700399, Romania

[3] Grigore T Popa Univ Med & Pharm, Dept Physiol, Iasi 700115, Romania

[4] Gheorghe Asachi Tech Univ Iasi, Phys Dept, Iasi 700050, Romania

[5] Grigore T Popa Univ Med & Pharm, Dept Med, Iasi 700115, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2015年 / 77卷 / 04期

关键词：

biological systems; fractals; Scale Relativity Theory; fractal bit; quantum bit; fractal cellular neural network; GINZBURG-LANDAU EQUATION; E-(INFINITY) SPACE-TIME; TEMPERATURE-DEPENDENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considering that the biological systems structural units dynamics are achieved on fractal curves, in the scale relativity hydrodynamic variant (with constant arbitrary fractal dimension), fractal logical elements (fractal bit, fractal cellular neural network etc.) are defined. Assuming that the external scalar potential is proportional with the fractal states density, the one-dimensional solution with finite fractal "energy" is obtained in the form of a fractal kink, whose "topology" implies, through its induced topological charge, the fractal bit. By mapping the one-dimensional solution with infinite fractal "energy", the fractal cellular neural network is obtained. In a particular case, for motions on Peano curves at Compton scale, the quantum logical elements are obtained once more. Some implications on the fractal morpho-functional structure of the lung, using this model, are shown.

引用

页码：263 / 272

页数：10