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Mathematical Modeling of 3D Tissue Engineering Constructs

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3D Printing and Biofabrication

Part of the book series: Reference Series in Biomedical Engineering ((TIENRE))

Abstract

Tissue engineering represents a new field aiming at developing biological substitutes to restore, maintain, or improve tissue functions. In this approach, scaffolds provide a temporary mechanical and vascular support for tissue regeneration while tissue ingrowth is being formed. The design of optimized scaffolds for tissue engineering applications is a key topic of research, as the complex macro- and micro-architectures required for a scaffold depends on the mechanical and vascular properties and physical and molecular queues of the surrounding tissue at the defect site. One way to achieve such hierarchical designs is to create a library of unit cells, which can be assembled through a computational tool.

Besides presenting an overview scaffold designs based hyperbolic surfaces, this chapter investigates the use of two different types of triply periodic minimal surfaces, Schwarz and Schoen, in order to design better biomimetic scaffolds with high surface-to-volume ratio, high porosity, and good mechanical properties. The effect of two parametric parameters (thickness and surface radius) is also evaluated regarding its porosity and mechanical behavior.

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Author information

Authors and Affiliations

  1. School of Technology and Management, Polytechnic Institute of Leiria (IPL), Leiria, Portugal

    Henrique Amorim Almeida

  2. Manchester Biomanufacturing Centre, University of Manchester, Manchester, UK

    Paulo Jorge da Silva Bártolo

  3. School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester, UK

    Paulo Jorge da Silva Bártolo

Authors
  1. Henrique Amorim Almeida
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  2. Paulo Jorge da Silva Bártolo
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Corresponding author

Correspondence to Henrique Amorim Almeida .

Editor information

Editors and Affiliations

  1. Institute of Materials Science, Technische Universität Wien, Wien, Austria

    Aleksandr Ovsianikov

  2. Institute for Regenerative Medicine, Wake Forest School of Medicine Institute for Regenerative Medicine, Winston-Salem, North Carolina, USA

    James Yoo

  3. 3D Bioprinting Solutions (3D Bio) , Moscow, Russia

    Vladimir Mironov

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Almeida, H.A., da Silva Bártolo, P.J. (2017). Mathematical Modeling of 3D Tissue Engineering Constructs. In: Ovsianikov, A., Yoo, J., Mironov, V. (eds) 3D Printing and Biofabrication. Reference Series in Biomedical Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-40498-1_5-1

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  • DOI: https://doi.org/10.1007/978-3-319-40498-1_5-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40498-1

  • Online ISBN: 978-3-319-40498-1

  • eBook Packages: Springer Reference Biomedicine and Life SciencesReference Module Biomedical and Life Sciences

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