New Model for Heat Transfer in Nanostructures

Stana, R.; Botez, Irinel Casian; Pãun, Viorel-Puiu; Agop, M.

doi:10.1166/jctn.2012.1996

Cited by 8 publications

(5 citation statements)

References 2 publications

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“…In this context, any variable that will describe the dynamics of a polymeric system will be defined as a product between its average value at various scale resolutions and the probability density constructed by adequate isometry. Such formalism has been applied in the study of the physical systems dynamics both at microscale [25][26][27], mesoscale [28,29] and macroscale [30,31].…”

Section: Theoretical Considerationsmentioning

confidence: 99%

Nonlinear Behaviors in Gene Therapy Theoretical and experimental aspects

Cioca¹,

Pinteală²,

Băcăiță³

et al. 2018

Mat.Plast.

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Gene therapy represents a promising method for treating genetic disorders or diseases consisting in the transfer of genetic material (DNA) to cells in order to substitute or to slow down the evolution of the defective gene in cells. Theoretical models to predict DNA release are difficult to build in the classical approach of continuous and differentiable physical quantities, due to the high number of interdependent phenomena that occur simultaneous. The article presents a theoretical model based on the fractal theory of motions in the form of Scale Relativity Theory to describe nonlinear behaviors in gene therapy. Correlations of the theoretical model with experimental data are also observed.

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Section: Theoretical Considerationsmentioning

confidence: 99%

Nonlinear Behaviors in Gene Therapy Theoretical and experimental aspects

Cioca¹,

Pinteală²,

Băcăiță³

et al. 2018

Mat.Plast.

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“…As such, it is possible in the context of "compartmental analysis" [11], to describe diffusion in dense objects [12], dynamics in polymeric networks [13,14], diffusion in porous and fractal media [4], kinetics in viscoelastic media [15] etc. More recently, "compartmental analysis" through PK allowed the modeling of processes such as drug dissolution [16], absorption [17], distribution [18], whole disposition [19], kinetics with bio-molecular reactions [20] etc.…”

Section: Introductionmentioning

confidence: 99%

5-Fluorouracil Release from Chitosan-Based Matrix.Experimental and Theoretical Aspects

Iancu¹,

Irimiciuc²,

Agop³

et al. 2020

Mater. Plast.

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A series of four drug release formulations based on 5-fluorouracil encapsulated into a chitosan-based matrix were prepared by in situ hydrogelation with 3,7-dimethyl-2,6-octadienal. The formulations were investigated from structural and morphological aspects by FTIR spectroscopy, polarized light microscopy and scanning electron microscopy. It was established that 5-fluorouracil was anchored into the matrix as crystals, whose dimension varied as a function of the crosslinking density. The in vitro drug release simulated into a media mimicking the physiological environment revealed a progressive release of the 5-fluorouracil, in close interdependence with the crosslinking density. In the context of Pharmacokinetics behavioral analysis, a new mathematical procedure for describing drug release dynamics in polymer-drug complex system is proposed. Assuming that the dynamics of polymer-drug system�s structural units take place on continuous and nondifferentiable curves (multifractal curves), we show that in a one-dimensional hydrodynamic formalism of multifractal variables the drug release mechanism (Fickian diffusion, non-Fickian diffusion, etc) are given through synchronous dynamics at a differentiable and non-differentiable scale resolutions. Finally, the model is confirmed by the empirical data.

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“…[20,21] for complex fluids and in Refs. [22][23][24] for nano-structures using the Scale Relativity Theory (SRT). 14 17-19 According to SRT, the dynamics of complex systems entities take place on continuous but non-differentiable curves, so that all physical phenomena involved depend not only on space-time coordinates but also on space-time scale resolution.…”

Section: Introductionmentioning

confidence: 99%

Coherence-Type Behaviours in Nanostructures

Botez¹,

Agop²

2015

j comput theor nanosci

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Considering that the movements of the particle of a complex fluid take place on continuous and non-differentiable curves, on shows that its dynamics is governed by a Burgers-Kordon-de Vries type equation for a complex speed field. The one-dimensional analytical solution of this equation implies, either von Kármán type vortices streets in the field representation, or superconducting type pairs in the potential representation. On proof, in this manner, new types of colective groud states.

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New Model for Heat Transfer in Nanostructures

Cited by 8 publications

References 2 publications

Nonlinear Behaviors in Gene Therapy Theoretical and experimental aspects

Nonlinear Behaviors in Gene Therapy Theoretical and experimental aspects

5-Fluorouracil Release from Chitosan-Based Matrix.Experimental and Theoretical Aspects

Coherence-Type Behaviours in Nanostructures

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