2021
DOI: 10.1080/10717544.2021.1876181
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Theoretical model for the diclofenac release from PEGylated chitosan hydrogels

Abstract: Controlled drug delivery systems are of utmost importance for the improvement of drug bioavailability while limiting the side effects. For the improvement of their performances, drug release modeling is a significant tool for the further optimization of the drug delivery systems to cross the barrier to practical application. We report here on the modeling of the diclofenac sodium salt (DCF) release from a hydrogel matrix based on PEGylated chitosan in the context of Multifractal Theory of Motion, by means of a… Show more

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Cited by 10 publications
(4 citation statements)
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“…Expanding on the last class of models, new developments have been made, based on Scale Relativity Theory, either in the monofractal dynamics, as in the case of Nottale [23], or in the multifractal dynamics, as in the case of the Multifractal Theory of Motion [24,25]. Our group has recently published in this framework, proving a good match for describing various drug delivery systems [26,27].…”
Section: Introductionmentioning
confidence: 99%
“…Expanding on the last class of models, new developments have been made, based on Scale Relativity Theory, either in the monofractal dynamics, as in the case of Nottale [23], or in the multifractal dynamics, as in the case of the Multifractal Theory of Motion [24,25]. Our group has recently published in this framework, proving a good match for describing various drug delivery systems [26,27].…”
Section: Introductionmentioning
confidence: 99%
“…Our theoretical model is based on the Scale Relativity Theory (Nottale, 2011 ; Mercheș & Agop, 2016 ; Agop & Paun, 2017 ). This theory has been successfully used for describing the dynamics of complex systems, and, in particular, for modeling release dynamics (Ailincai et al, 2021 ; Iftime et al, 2020 ). The main assumption of this theory is that any polymer-drug system, as a complex system, can be assimilated with a fractal/multifractal mathematical object (Mandelbrot, 1982 ; Jackson, 1993 ; Cristescu, 2008 ).…”
Section: Methodsmentioning
confidence: 99%
“…In this work, we analyzed, from a multifractal perspective, the nonlinear dynamics of complex systems, generalizing the results from (Ailincai et al, 2021 ; Iftime et al, 2020 ). In such context, by exploring a hidden symmetry in the form of synchronization groups of polymer-drug system entities, we were led to the generation of a Riemann manifold with hyperbolic type metric via parallel direction of transport.…”
Section: Introductionmentioning
confidence: 99%
“…In this light, the paper proposes a mathematical model in a multifractal space to evaluate the microstructure—electrical conductivity relationship, as follows. The use of a multifractal representation when investigating the physical and chemical properties of polymeric materials has been reported by our group in the past few years, with the main focus being on drug release mechanisms at various scale resolutions [ 19 , 20 , 21 ]. The multifractal model is dynamical and based on Scale Relativity Theory, and it works on the underlying hypothesis that the entities of any complex system move on continuous and nondifferential curves, named fractal curves, i.e., three dimensional fractured lines, the nonlinearity of which is dependent on and proportional with the number of interactions within the system.…”
Section: Introductionmentioning
confidence: 99%