Growth of the chorioallantoic membrane into a rapid-prototyped model pore system: experiments and mathematical model |
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Authors: | Lemon Greg Howard Daniel Yang Hongyi Ratchev Svetan M Segal Joel I Rose Felicity R A J Jensen Oliver E Waters Sarah L King John R |
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Institution: | School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, UK. greg.lemon@maths.nottingham.ac.uk |
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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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