Cell seeding dynamics in a porous scaffold material designed for meniscus tissue regeneration

Author:

Jäger Henry1ORCID,Grosjean Elise2,Plunder Steffen3,Redenbach Claudia1,Keilmann Alex1,Simeon Bernd1,Surulescu Christina1

Affiliation:

1. Rheinland‐Pfälzische Technische Universität Kaiserslautern‐Landau (RPTU), FB Mathematik Kaiserslautern Germany

2. ENSTA‐Paris Palaiseau France

3. Institute for the Advanced Study of Human Biology (ASHBi) KUIAS, Kyoto University, Faculty of Medicine Bldg. B Kyoto Japan

Abstract

AbstractWe study the dynamics of a seeding experiment where a fibrous scaffold material is colonized by two types of cell populations. The specific application that we have in mind is related to the idea of meniscus tissue regeneration. In order to support the development of a promising replacement material, we discuss certain rate equations for the densities of human mesenchymal stem cells and chondrocytes and for the production of collagen‐containing extracellular matrix. For qualitative studies, we start with a system of ordinary differential equations and refine then the model to include spatial effects of the underlying nonwoven scaffold structure. Numerical experiments as well as a complete set of parameters for future benchmarking are provided.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Reference5 articles.

1. Grosjean E. Keilmann A. Jäger H. Mohanan S. Redenbach C. Simeon B. Surulescu C. deRoy L. Seitz A. Teixeira G. Dauner M. Linti C. &Schmidt G.(2024).An in‐silico approach to meniscus tissue regeneration: Modeling numerical simulation and experimental analysis.arXiv:2403.05909. Preprint.https://arxiv.org/pdf/2403.05909

2. Modeling of directional uncertainty using moments of the angular central Gaussian

3. The MathWorks Inc. (2022).MATLAB version: 9.13.0 (R2022b).

4. New development in freefem++

5. A mathematical model for meniscus cartilage regeneration

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