Modeling capsule tissue growth around disk-shaped implants: a numerical and in vivo study

We propose a new mathematical model that describes the growth of fibrous tissue around rigid, disk-shaped implants. A solution methodology based on an efficient regularized iterative method is presented to calibrate the model from some measurements of the capsule tissue concentration. Numerical resu...

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Bibliographic Details
Published in:Journal of mathematical biology 2008-11, Vol.57 (5), p.675-695
Main Authors: Ryan, Paul, Djellouli, Rabia, Cohen, Randy
Format: Article
Language:English
Subjects:
Algorithms
Animals
Applications of Mathematics
Biocompatible Materials
Cell Count
Computer Simulation
Humans
Implants, Experimental
Joint Capsule - cytology
Joint Capsule - growth & development
Male
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Models, Biological
Prostheses and Implants
Rats
Rats, Wistar
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Summary:We propose a new mathematical model that describes the growth of fibrous tissue around rigid, disk-shaped implants. A solution methodology based on an efficient regularized iterative method is presented to calibrate the model from some measurements of the capsule tissue concentration. Numerical results obtained with synthetic data are presented to demonstrate the ability of the proposed solution methodology to determine the model parameters corresponding to a given implant. In addition, numerical results obtained with experimental data are presented to illustrate the validity of the proposed model.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-008-0184-0