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

Anda-Mihaela Craciun,Maricel Agop,Lăcrămioara Ochiuz,Mihaela Luminita Barhalescu

doi:10.1155/2019/4091464

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.”

Highlights

Hydrogels are an important class of materials with a large range of applications in key domains as biomedicine [1], hygiene [2], environment protection [3], agriculture [4], and so on
Such a choice has several obvious implications: (a) the drug mass released given by (4) becomes dependent both on time coordinate and on the scale resolutions of multifractal type. Such a situation is possible considering that the released drug mass, given by (4), acts as the limit of a family of functions, the functions being nondifferentiable for null scale resolutions of multifractal type and differentiable for non-null scale resolutions of multifractal type; (b) the release dynamics described by relation (4) is invariant both in relation to temporal transformations and in relation to scale resolution transformations; (c) the constrained release dynamics on multifractal type curves in an Euclidian space is substituted with release dynamics, free of any constraints in a multifractal space, etc
A mathematical model that intends to describe the dynamics of controlled drug release systems should allow (a) to predict the drug release kinetics and the phenomena involved, avoiding repetitive time and money expensive experiments; (b) to optimize the drug release kinetics; (c) to estimate the effect of the polymer matrix design parameters, i.e., shape, size, and composition on the drug release kinetics; (d) to predict the global therapeutic efficiency and drug safety; and (e) overall, to design a new drug delivery system depending on the release kinetics imposed by the therapeutic requirements

Summary

Introduction

Hydrogels are an important class of materials with a large range of applications in key domains as biomedicine [1], hygiene [2], environment protection [3], agriculture [4], and so on Among the hydrogels, those based on natural and biopolymers are of crucial significance for bioapplications due to their biocompatibility and biodegradability, mandatory features for their safe in vivo use and for limiting the environmental pollution [5,6,7]. Due to its intrinsic properties, the use of chitosan-based hydrogels as drug matrix led to multifunctional systems, with enhanced biological possibilities, which could be further improved by a proper choice of the chitosan crosslinker [9,10,11,12,13,14,15] Another important aspect related to the developing of drug delivery systems is related to the efficient use of the drugs, limiting their side effects on (i) the human body and (ii) the environment. Part of them is excreted in the environment, and recent studies revealed their toxicity and genotoxicity into zebrafish, indicating them as potential negative contaminants [16]. is is the reason why the researchers focus their attention to the local control release of the antitumor drugs, which should limit their side effects on the human body and on the environment

Results

Discussion

Conclusion