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

被引：26

作者：

Craciun, Anda-Mihaela ^{[1
]}

Barhalescu, Mihaela Luminita ^{[2
]}

Agop, Maricel ^{[3
,4
]}

Ochiuz, Lacramioara ^{[5
]}

机构：

[1] Petro Poni Inst Macromol Chem, GrigoreGhicaVoda Alley, Iasi, Romania

[2] Constanta Maritime Univ, Dept Gen Engn Sci, 104 Mircea Cel Batran St, Constanta 900663, Romania

[3] Gheorghe Asachi Tech Univ Iasi, Fac Machine Mfg & Ind Management, Dept Phys, D Mangeron Bvd 73, Iasi 700050, Romania

[4] Romanian Scientists Acad, 54 Splaiul Independentei Blvd, Bucharest 050094, Romania

[5] Univ Med & Pharm Gr T Popa, Fac Pharm, Dept Pharmaceut Technol, Iasi, Romania

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2019年 / 2019卷

基金：

欧盟地平线“2020”;

关键词：

EPSILON((INFINITY)) SPACE-TIME; RELATIVITY; SCALE; TRANSPORT;

D O I：

10.1155/2019/4091464

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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."

引用

页数：10

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