scholarly journals Implications of the “Subquantum Level” in Carcinogenesis and Tumor Progression via Scale Relativity Theory

10.5772/59233 ◽  
2015 ◽  
Author(s):  
Daniel Timofte ◽  
Lucian Eva ◽  
Decebal Vasincu ◽  
Călin Buzea ◽  
Maricel Agop ◽  
...  
Keyword(s):  
Tumor Progression ◽  
Relativity Theory ◽  
Scale Relativity

scholarly journals Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 444
Author(s):  
Nicolae Dan Tesloianu ◽  
Lucian Dobreci ◽  
Vlad Ghizdovat ◽  
Andrei Zala ◽  
Adrian Valentin Cotirlet ◽  
...  
Keyword(s):  
Stochastic Processes ◽  
Standard Form ◽  
Momentum Conservation ◽  
Relativity Theory ◽  
Horizontal Pipe ◽  
Scale Transition ◽  
Theory Of Motion ◽  
Multifractal Theory ◽  
Scale Relativity ◽  
Specific Momentum

By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale’s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable–non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the “stopping effect” associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal “pipe” with circular symmetry. Our model has been validated based on experimental clinical data.

Malignant Invasion Model with Small Amount of Diffusion in the Framework of Scale Relativity Theory

2015 ◽  
Vol 3 (4) ◽  
pp. 399-417
Author(s):  
Irina Grădinaru ◽  
Călin Gheorghe Buzea ◽  
Lucian Eva ◽  
Maricel Agop ◽  
Lăcrămioara Ochiuz ◽  
...  
Keyword(s):  
Relativity Theory ◽  
Invasion Model ◽  
Scale Relativity

Effects of Nanoparticle Clustering on the Heat Transport in Nanofluids Through Fractal Theories

2008 ◽  
Vol 59 (2) ◽  
pp. 195-198
Author(s):  
Manuela Girtu ◽  
Agop Maricel ◽  
Constantin Bejinariu ◽  
Anca Harabagiu ◽  
Camelia Popa
Keyword(s):  
Heat Transfer ◽  
Coherent Structures ◽  
Thermal Gradient ◽  
Relativity Theory ◽  
Growth Speed ◽  
Topological Dimension ◽  
One Dimensional ◽  
Oscillation Modes ◽  
Scale Relativity ◽  
The One

Considering that the motion of microphysical object takes place on continuous but non-differentiable curves, i.e. on fractals, effects of nanoparticle clustering on the heat transfer in nanofluids using the scale relativity theory in the topological dimension are analyzed. In the one-dimensional differentiable case, the clustering morphogenesis process is achieved by cnoidal oscillation modes of the speed field and a relation between the radius and growth speed of the cluster is obtained. In the non-differentiable case, the fractal kink spontaneously breaks the vacuum symmetry by tunneling and generates coherent structures. Since all the properties of the speed field are transferred to the thermal one and the fractal potential (fractal soliton) acts as an energy accumulator, for a certain condition of an external load (e.g. for a certain value of thermal gradient) the fractal soliton breaks down (blows up) and releases energy. As result, the thermal conductibility in nanofluids unexpectedly increases.

The Harmonic Oscillator Problem in the Scale Relativity Theory. Its Implications in the Morphogenesis of Structures at Various Scale Resolutions

2015 ◽  
Vol 12 (12) ◽  
pp. 5870-5881
Author(s):  
Bogdan Doroftei ◽  
Letiţia Doina Duceac ◽  
Dan Dezideriu Iacob ◽  
Nicolae Dănilă ◽  
Simona Volovăţ ◽  
...  
Keyword(s):  
Harmonic Oscillator ◽  
Relativity Theory ◽  
Scale Relativity

Multiscale Integration in Scale Relativity Theory

2011 ◽  
Vol 16 (4) ◽  
pp. 307-309 ◽  
Author(s):  
Laurent Nottale
Keyword(s):  
Relativity Theory ◽  
Scale Relativity

Wave–particle duality through an extended model of the scale relativity theory

2008 ◽  
Vol 78 (6) ◽  
pp. 065101 ◽  
Author(s):  
P D Ioannou ◽  
P Nica ◽  
V Paun ◽  
P Vizureanu ◽  
M Agop
Keyword(s):  
Relativity Theory ◽  
Extended Model ◽  
Wave Particle Duality ◽  
Scale Relativity
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