Nonstationary Diffusion in Hydrolytic Degradation of a Porous Polymeric Matrix

The paper aims to develop a mathematical model for the investigation of degradation of a porous matrix of polylactic acid implanted in a bone tissue based on the study of kinetics of hydrolytic degradation of the matrix due to the action of a body fluid and diffusion of lactic acid released as a res...

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Bibliographic Details
Published inJournal of engineering physics and thermophysics Vol. 95; no. 6; pp. 1615 - 1623
Main Authors Estévez, E. A. Paz, Mesa, R. Fagundo, Pavlyukevich, N. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2022
Springer
Springer Nature B.V
Subjects
Analysis
Biopolymers
Body fluids
Bones
Chemical reactions
Classical Mechanics
Complex Systems
Degradation
Density
Diffusion
Engineering
Engineering Thermodynamics
Finite difference method
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Lactic acid
Mathematical models
Miscellanea
Nonlinear equations
Polylactic acid
Porosity
Porous media
Thermodynamics
Arrhenius law
diffusion
polylactic acid
hydrolytic degradation
mathematical modeling
chemical reaction
porous matrix
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Summary:The paper aims to develop a mathematical model for the investigation of degradation of a porous matrix of polylactic acid implanted in a bone tissue based on the study of kinetics of hydrolytic degradation of the matrix due to the action of a body fluid and diffusion of lactic acid released as a result of a chemical reaction. The numerical solution of nonstationary nonlinear equation of lactic acid diffusion through the host tissue obtained by the finite difference method allows one to establish a relationship between the lactic acid density in the bone tissue with time and the density during the implanted matrix degradation as well as the density profile of lactic acid in the bone tissue as a function of the kinetic reaction parameters for different porosities. The validation of the model is verified using the available experimental data.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-022-02630-8