Theoretical Modeling of Long-Time Drug Release from Nitrosalicyl-Imine-Chitosan Hydrogels through Multifractal Logistic Type Laws.
Journal
Computational and mathematical methods in medicine
ISSN: 1748-6718
Titre abrégé: Comput Math Methods Med
Pays: United States
ID NLM: 101277751
Informations de publication
Date de publication:
2019
2019
Historique:
received:
18
02
2019
revised:
25
04
2019
accepted:
19
05
2019
entrez:
6
9
2019
pubmed:
6
9
2019
medline:
11
2
2020
Statut:
epublish
Résumé
Drug release is a complex phenomenon due to the large number of interdependent side effects that occur simultaneously, involving strong nonlinear dynamics. Therefore, since their theoretical description is difficult in the classical mathematics modelling, we have built a theoretical model based on logistic type laws, validated by the correlations with the experimental data, in a special case of drug release from hydrogels. The novelty of our approach is the implementation of multifractality in logistic type laws, situation in which any chaotic system, characterized by a small number of nonlinear interactions, gets memory and, implicitly, characterization through a large number of nonlinear interactions. In other words, the complex system polymer-drug matrix becomes "pseudo-intelligent."
Identifiants
pubmed: 31485257
doi: 10.1155/2019/4091464
pmc: PMC6710764
doi:
Substances chimiques
Benzaldehydes
0
Biocompatible Materials
0
Hydrogels
0
Imines
0
Chitosan
9012-76-4
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
4091464Déclaration de conflit d'intérêts
The authors declare that they have no conflicts of interest.
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