Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl
Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 4

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  fractal
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

Fractality feature in incompressible three-dimensional magnetohydrodynamic turbulence

100%
Momeni M., Moslehi-Fard M.
|
|
vol. 6
|
issue 3
759-764
EN
Direct Numerical Simulation (DNS) of decaying isotropic 3D magnetohydrodynamic (MHD) turbulence based on the 10243-modes in a periodic box is used to study the statistical properties of turbulence. In this paper, the presence of intermittency in MHD turbulence is investigated through the analysis of the Probability Distribution Function (PDF) for Elsässer fields and total energy fluctuations. We observe that the PDFs of the Elsässer fields fluctuations display a strong non-Gaussian behavior at small scale, which can be ascribed to multifractality feature, while the PDFs of the total energy fluctuations have the same shape over all observed scales and are monofractal. The PDFs have stretched exponential tail and satisfy the function P(|δX|) ∼ exp(−A|δX|μ). Numerically, we extract the exponent μ and find that it is constant for monofractal behavior as the length scale varies. To check the notion of self-similarity in the respective fluctuation, we apply the compensated structure functions.
2
Content available remote

On the relationship between fractal geometry of space and time in which a system of interacting cells exists and dynamics of gene expression.

88%
Waliszewski P., Molski M., Konarski J.
Acta Biochimica Polonica
|
2001
|
vol. 48
|
issue 1
209-220
EN
We report that both space and time, in which a system of interacting cells exists, possess fractal structure. Each single cell of the system can restore the hierarchical organization and dynamic features of the entire tumor. There is a relationship between dynamics of gene expression and connectivity (i.e., interconnectedness which denotes the existence of complex, dynamic relationships in a population of cells leading to the emergence of global features in the system that would never appear in a single cell existing out of the system). Fractal structure emerges owing to non-bijectivity of dynamic cellular network of genes and their regulatory elements. It disappears during tumor progression. This latter state is characterized by damped dynamics of gene expression, loss of connectivity, loss of collectivity (i.e., capability of the interconnected cells to interact in a common mode), and metastatic phenotype. Fractal structure of both space and time is necessary for a cellular system to self-organize. Our findings indicate that results of molecular studies on gene expression should be interpreted in terms of space-time geometry of the cellular system. In particular, the dynamics of gene expression in cancer cells existing in a malignant tumor is not identical with the dynamics of gene expression in the same cells cultured in the monolayer system.
3
Publication available in full text mode
Content available

Miniaturized Wearable Fractal Patch Antenna for Body Area Network Applications

75%
Jain V., Dhaliwal B. S., Jain V., Dhaliwal B. S.
International Journal of Electronics and Telecommunications
|
2021
|
vol. 67
|
issue 2
4
Publication available in full text mode
Content available

Swing-up time analysis of pendulum

75%
Furuta K., Iwase M.
Bulletin of the Polish Academy of Sciences: Technical Sciences
|
2004
|
vol. 52
|
issue 3
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.