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 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.
Ryan
Paul
P
Department of Mathematics, California State University Northridge, Los Angeles, USA. paul.ryan.201@csun.edu
Djellouli
Rabia
R
Cohen
Randy
R
D000465:Algorithms; D000818:Animals; D001672:Biocompatible Materials; D002452:Cell Count; D003198:Computer Simulation; D006801:Humans; D020007:Implants, Experimental; D017746:Joint Capsule / Q000166:cytology / Q000254:growth & development*; D008297:Male; D008954:Models, Biological; D019736:Prostheses and Implants; D051381:Rats; D017208:Rats, Wistar
D001672:Biocompatible Materials