We report about two specific breakthroughs, relevant to the mathematical modeling and numerical simulation of tissue growth in the context of cartilage tissue engineering in vitro. The proposed models are intended to form the building blocks of a bottom-up multiscale analysis of tissue growth, the idea being that a full microscale analysis of the construct, a 3-D partial differential equation (PDE) problem with internal moving boundaries, is computationally unaffordable.We propose to couple a PDEmicroscale model of a single functional tissue subunit with the information computed at the macroscale by 2-D–0-D models of reduced computational cost. Preliminary results demonstrate the effectiveness of the proposed models in describing the interplay among interstitial perfusion flow, nutrient delivery, and consumption and tissue growth in realistic scaffold geometries.

Breakthroughs in Computational Modeling of Cartilage Regeneration in Perfused Bioreactors

RAIMONDI, MANUELA TERESA;NAVA, MICHELE;LAGANA', MATTEO;SACCO, RICCARDO
2011

Abstract

We report about two specific breakthroughs, relevant to the mathematical modeling and numerical simulation of tissue growth in the context of cartilage tissue engineering in vitro. The proposed models are intended to form the building blocks of a bottom-up multiscale analysis of tissue growth, the idea being that a full microscale analysis of the construct, a 3-D partial differential equation (PDE) problem with internal moving boundaries, is computationally unaffordable.We propose to couple a PDEmicroscale model of a single functional tissue subunit with the information computed at the macroscale by 2-D–0-D models of reduced computational cost. Preliminary results demonstrate the effectiveness of the proposed models in describing the interplay among interstitial perfusion flow, nutrient delivery, and consumption and tissue growth in realistic scaffold geometries.
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING
File in questo prodotto:
File Dimensione Formato  
05970100.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 374.43 kB
Formato Adobe PDF
374.43 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/633676
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 9
social impact