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Chondrocyte growth dynamics and spatial pattern formation

Name: Chondrocyte growth dynamics and spatial pattern formation
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 07044423
Price: 48.01 EUR
Availability: InStock
Author: Viviana Palumberi
ISBN: 9783838131641

Viviana Palumberi

Language

English

Book Paperback

Libristo code: 07044423

Publishers Sudwestdeutscher Verlag Fur Hochschulschriften AG, February 2012

Tissue engineering is a novel and promising approach to repair articular cartilage defects. This pro... Full description

Libristo code: 07044423

116 b

48.01 €

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Tissue engineering is a novel and promising approach to repair articular cartilage defects. This procedure requires that autologous articular chondrocytes are isolated from a small biopsy, expanded in vitro on two-dimensional culture plates to augment their original number and then cultured onto specific three-dimensional synthetic biomaterials to generate implantable cartilaginous constructs. The phase of cell expansion is critical, since for such technique large number of chondrocytes is needed. We thus aimed our research at devising a mathematical model to deeply understand the growth dynamics of chondrocytes. Experimentally, it was observed that when the cells in culture reach a critical level, they spontaneously tend to align along some common axis of orientation. Our intention in this book is to study the parameter regimes which lead to the formation of one or more patterns, and to compare them to the experiments. With this goal in mind we implemented simulations of the three dimensional model by a combination of Tchebychef method, finite differences and trapezoidal rule and perform experiments to approximate some of the parameters.