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Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model

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Abstract

This paper presents a mathematical model to describe the growth of tissue into a rapid-prototyped porous scaffold when it is implanted onto the chorioallantoic membrane (CAM). The scaffold was designed to study the effects of the size and shape of pores on tissue growth into conventional tissue engineering scaffolds, and consists of an array of pores each having a pre-specified shape. The experimental observations revealed that the CAM grows through each pore as an intact layer of tissue, provided the width of the pore exceeds a threshold value. Based on these results a mathematical model is described to simulate the growth of the membrane, assuming that the growth is a function of the local isotropic membrane tension. The model predictions are compared against measurements of the extent of membrane growth through the pores as a function of time for pores with different dimensions.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    Greg Lemon, Oliver E. Jensen & John R. King

  2. Wolfson Centre for Stem Cells, Tissue Engineering and Modelling (STEM), Centre for Biomolecular Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    Greg Lemon, Daniel Howard & Felicity R. A. J. Rose

  3. Manufacturing Research Division, Faculty of Engineering, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    Hongyi Yang, Svetan M. Ratchev & Joel I. Segal

  4. Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24–29 St Giles’, Oxford, OX1 3LB, UK

    Sarah L. Waters

Authors
  1. Greg Lemon
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  2. Daniel Howard
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  3. Hongyi Yang
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  4. Svetan M. Ratchev
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  5. Joel I. Segal
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  6. Felicity R. A. J. Rose
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  7. Oliver E. Jensen
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  8. Sarah L. Waters
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  9. John R. King
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Correspondence to Greg Lemon.

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Lemon, G., Howard, D., Yang, H. et al. Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model. Biomech Model Mechanobiol 10, 539–558 (2011). https://doi.org/10.1007/s10237-010-0254-2

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  • DOI: https://doi.org/10.1007/s10237-010-0254-2

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