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- Title
A Holographic-Type Model in the Description of Polymer–Drug Delivery Processes.
- Authors
Nica, Irina; Volovat, Constantin; Boboc, Diana; Popa, Ovidiu; Ochiuz, Lacramioara; Vasincu, Decebal; Ghizdovat, Vlad; Agop, Maricel; Volovat, Cristian Constantin; Lupascu Ursulescu, Corina; Lungulescu, Cristian Virgil; Volovat, Simona Ruxandra
- Abstract
A unitary model of drug release dynamics is proposed, assuming that the polymer–drug system can be assimilated into a multifractal mathematical object. Then, we made a description of drug release dynamics that implies, via Scale Relativity Theory, the functionality of continuous and undifferentiable curves (fractal or multifractal curves), possibly leading to holographic-like behaviors. At such a conjuncture, the Schrödinger and Madelung multifractal scenarios become compatible: in the Schrödinger multifractal scenario, various modes of drug release can be "mimicked" (via period doubling, damped oscillations, modulated and "chaotic" regimes), while the Madelung multifractal scenario involves multifractal diffusion laws (Fickian and non-Fickian diffusions). In conclusion, we propose a unitary model for describing release dynamics in polymer–drug systems. In the model proposed, the polymer–drug dynamics can be described by employing the Scale Relativity Theory in the monofractal case or also in the multifractal one.
- Subjects
RELATIVITY (Physics); FICK'S laws of diffusion
- Publication
Pharmaceuticals (14248247), 2024, Vol 17, Issue 4, p541
- ISSN
1424-8247
- Publication type
Article
- DOI
10.3390/ph17040541