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Nonstationary Diffusion in Hydrolytic Degradation of a Porous Polymeric Matrix

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Journal of Engineering Physics and Thermophysics Aims and scope

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.

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Authors and Affiliations

  1. Centre for Advanced and Sustainable Manufacturing Studied (CEFAS), University of Matanzas, Carretera a Varadero, Km 3.5, Matanzas, Cuba

    E. A. Paz Estévez & R. Fagundo Mesa

  2. A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., 220072, Minsk, Belarus

    N. V. Pavlyukevich

Authors
  1. E. A. Paz Estévez
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  2. R. Fagundo Mesa
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  3. N. V. Pavlyukevich
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Correspondence to E. A. Paz Estévez.

Additional information

Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 6, pp. 1644–1652, November–December, 2022.

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Estévez, E.A.P., Mesa, R.F. & Pavlyukevich, N.V. Nonstationary Diffusion in Hydrolytic Degradation of a Porous Polymeric Matrix. J Eng Phys Thermophy 95, 1615–1623 (2022). https://doi.org/10.1007/s10891-022-02630-8

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  • DOI: https://doi.org/10.1007/s10891-022-02630-8

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