Ryan Paul, Djellouli Rabia, Cohen Randy
Department of Mathematics, California State University Northridge, Los Angeles, USA.
J Math Biol. 2008 Nov;57(5):675-95. doi: 10.1007/s00285-008-0184-0. Epub 2008 May 17.
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.
我们提出了一种新的数学模型，该模型描述了刚性盘状植入物周围纤维组织的生长情况。提出了一种基于有效正则化迭代方法的求解方法，用于根据胶囊组织浓度的一些测量值来校准模型。给出了用合成数据获得的数值结果，以证明所提出的求解方法确定与给定植入物对应的模型参数的能力。此外，还给出了用实验数据获得的数值结果，以说明所提出模型的有效性。
