Computers in Biology and Medicine
Volume 42, Issue 2 , Pages 147-155, February 2012

Modeling porous scaffold microstructure by a reaction–diffusion system and its degradation by hydrolysis

  • Diego A. Garzón-Alvarado

      Affiliations

    • Engineering Modeling and Numerical Methods Group, Universidad Nacional de Colombia, Cra 30 No. 45-03, Bogotá, Colombia
    • Corresponding Author InformationCorresponding author.
  • ,
  • Marco A. Velasco

      Affiliations

    • Mechanical Engineering Applications and Research Group, Universidad Santo Tomás, Cra 9 No. 51-11, Bogotá, Colombia
  • ,
  • Carlos A. Narváez-Tovar

      Affiliations

    • Mechanical Engineering Applications and Research Group, Universidad Santo Tomás, Cra 9 No. 51-11, Bogotá, Colombia
    • Engineering Modeling and Numerical Methods Group, Universidad Nacional de Colombia, Cra 30 No. 45-03, Bogotá, Colombia

Received 12 November 2010; accepted 14 November 2011.

Abstract 

One of the most important areas of Tissue Engineering is the research about bone regeneration and the replacement of its function. To meet this requirement, scaffolds have been developed to allow the cell migration, the growth of bone tissue, the transport of growth factors and nutrients and the renovation of the mechanical properties of bone. Scaffolds are made of different biomaterials and manufactured using various techniques that, in some cases, do not allow full control over the size and orientation of the pores that characterize the scaffold microstructure. From this perspective, we propose a novel hypothesis that a reaction–diffusion system can be used to design the geometrical specifications of the bone matrix. The validation of this hypothesis is performed by simulations of the reaction–diffusion system in a representative tridimensional unit cell, coupled with a model of scaffold degradation by hydrolysis. The results show the possibility that a Reaction–Diffusion system can control features such as the percentage of porosity, trabecular size, orientation, and interconnectivity of pores.

Keywords: Bone materials, Scaffolds, Reaction–diffusion, Hydrolysis, Finite elements

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PII: S0010-4825(11)00221-6

doi:10.1016/j.compbiomed.2011.11.002

Computers in Biology and Medicine
Volume 42, Issue 2 , Pages 147-155, February 2012