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 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
  Автор:  Paz Estévez E. A., Fagundo Mesa R, Pavlyukevich N. V.
Ключевые слова:  hydrolytic degradation, porous matrix, diffusion, polylactic acid, mathematical modeling, chemical reaction, Arrhenius law
Стр:  1644