Theoretical Modeling of Long-Time Drug Release from Nitrosalicyl-Imine-Chitosan Hydrogels through Multifractal Logistic Type Laws

Author:

Craciun Anda-Mihaela1ORCID,Barhalescu Mihaela Luminita2ORCID,Agop Maricel34ORCID,Ochiuz Lăcrămioara5ORCID

Affiliation:

1. Petru Poni Institute of Macromolecular Chemistry, GrigoreGhicaVoda Alley, Iasi, Romania

2. Constanta Maritime University, Department of General Engineering Sciences, 104 Mircea cel Batran Street, 900663 Constanta, Romania

3. Gheorghe Asachi Technical University of Iasi, Faculty of Machine Manufacturing and Industrial Management, Department of Physics, D. Mangeron Bvd. No. 73, 700050 Iasi, Romania

4. Romanian Scientists Academy, 54 Splaiul Independentei Blvd., Bucharest 050094, Romania

5. Faculty of Pharmacy, Department of Pharmaceutical Technology University of Medicine and Pharmacy “Gr.T. Popa”, Iasi, Romania

Abstract

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.”

Funder

Horizon 2020 Framework Programme

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

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