An anisotropic microsphere-based approach for fiber orientation adaptation in soft tissue

Evolutionary processes in biological tissue, such as adaptation or remodeling, represent an enterprising area of research. In this paper, we present a multiscale model for the remodeling of fibered structures, such as bundles of collagen fibrils. With this aim, we introduce a von Mises statistical d...

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Detalles Bibliográficos
Autores: Sáez Viñas, Pablo|||0000-0002-9253-0417, Pena, Estefanía, Doblaré, Manuel, Martínez, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/103709
Acceso en línea:https://hdl.handle.net/2117/103709
https://dx.doi.org/10.1109/TBME.2011.2166154
Access Level:acceso abierto
Palabra clave:Strength of materials
Elasticity
Resistència de materials
Elasticitat
Classificació AMS::74 Mechanics of deformable solids::74P Optimization
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Simulació
Descripción
Sumario:Evolutionary processes in biological tissue, such as adaptation or remodeling, represent an enterprising area of research. In this paper, we present a multiscale model for the remodeling of fibered structures, such as bundles of collagen fibrils. With this aim, we introduce a von Mises statistical distribution function to account for the directional dispersion of the fibrils, and we remodel the underlying fibrils by changing their orientation. To numerically compute this process, we make use of the microsphere approach, which provides a useful multiscale tool for homogenizing the microstructure behavior, related to the fibrils of the bundle, in the macroscale of the problem. The results show how the fibrils respond to the stimulus by reorientation of their structure. This process leads to a stiffer material eventually reaching a stationary state. These results are in agreement with those reported in the literature, and they characterize the adaptation of biological tissue to external stimuli.