A multiparametric advection-diffusion reduced-order model for molecular transport in scaffolds for osteoinduction
Por:
Muixí A, Zlotnik S, Calvet P, Español-Pons M, Lodoso-Torrecilla I, Ginebra MP, Díez P and García-González A
Publicada:
1 ago 2022
Ahead of Print:
1 may 2022
Resumen:
Scaffolds are microporous biocompatible structures that serve as material support for cells to proliferate, differentiate and form functional tissue. In particular, in the field of bone regeneration, insertion of scaffolds in a proper physiological environment is known to favour bone formation by releasing calcium ions, among others, triggering differentiation of mesenchymal cells into osteoblasts. Computational simulation of molecular distributions through scaffolds is a potential tool to study the scaffolds' performance or optimal designs, to analyse their impact on cell differentiation, and also to move towards reduction in animal experimentation. Unfortunately, the required numerical models are often highly complex and computationally too costly to develop parametric studies. In this context, we propose a computational parametric reduced-order model to obtain the distribution of calcium ions in the interstitial fluid flowing through scaffolds, depending on several physical parameters. We use the well-known Proper Orthogonal Decomposition (POD) with two different variations: local POD and POD with quadratic approximations. Computations are performed using two realistic geometries based on a foamed and a 3D-printed scaffolds. The location of regions with high concentration of calcium in the numerical simulations is in fair agreement with regions of bone formation shown in experimental observations reported in the literature. Besides, reduced-order solutions accurately approximate the reference finite element solutions, with a significant decrease in the number of degrees of freedom, thus avoiding computationally expensive simulations, especially when performing a parametric analysis. The proposed reduced-order model is a competitive tool to assist the design of scaffolds in osteoinduction research.
Filiaciones:
Muixí A:
International Centre for Numerical Methods in Engineering (CIMNE), Barcelona, Spain
Zlotnik S:
International Centre for Numerical Methods in Engineering (CIMNE), Barcelona, Spain
E.T.S. de Ingeniería de Caminos, Universitat Politècnica de Catalunya (UPC), Laboratori de Càlcul Numèric (LaCàN), Barcelona, Spain
Calvet P:
E.T.S. de Ingeniería de Caminos, Universitat Politècnica de Catalunya (UPC), Laboratori de Càlcul Numèric (LaCàN), Barcelona, Spain
Español-Pons M:
Department of Materials Science and Engineering, Group of Biomaterials, Biomechanics and Tissue Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Barcelona Research Centre for Multiscale Science and Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Lodoso-Torrecilla I:
Department of Materials Science and Engineering, Group of Biomaterials, Biomechanics and Tissue Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Barcelona Research Centre for Multiscale Science and Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Ginebra MP:
Department of Materials Science and Engineering, Group of Biomaterials, Biomechanics and Tissue Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Barcelona Research Centre for Multiscale Science and Engineering, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
Díez P:
International Centre for Numerical Methods in Engineering (CIMNE), Barcelona, Spain
E.T.S. de Ingeniería de Caminos, Universitat Politècnica de Catalunya (UPC), Laboratori de Càlcul Numèric (LaCàN), Barcelona, Spain
García-González A:
E.T.S. de Ingeniería de Caminos, Universitat Politècnica de Catalunya (UPC), Laboratori de Càlcul Numèric (LaCàN), Barcelona, Spain.
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