Cell Proliferation and Oxygen Diffusion in a Vascularising Scaffold |
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Authors: | Kerry A Landman Anna Q Cai |
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Institution: | (1) Department of Mathematics and Statistics, University of Melbourne, Victoria, 3010, Australia |
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Abstract: | The supply of oxygen to proliferating cells within a scaffold is a key factor for the successful building of new tissue in
soft tissue engineering applications. A recent in vivo model, where an arteriovenous loop is placed in a scaffold, allows
a vascularising network to form within a scaffold, establishing an oxygen source within, rather than external, to the scaffold.
A one-dimensional model of oxygen concentration, cell proliferation and cell migration inside such a vascularising scaffold
is developed and investigated. In addition, a vascularisation model is presented, which supports a vascularisation front which
moves at a constant speed. The effects of vascular growth, homogenous and heterogenous seeding, diffusion of cells and critical
hypoxic oxygen concentration are considered. For homogenous seeding, a relationship between the speed of the vascular front
and a parameter defining the rate of oxygen diffusion relative to the rate of oxygen consumption determines whether a hypoxic
region exists at some time. In particular, an estimate of the length of time that a fixed point in the scaffold will remain
under hypoxic conditions is determined. For heterogenous seeding, a Fisher-like travelling wave of cells is established behind
the vascular front. These findings provide a fundamental understanding of the important interplay between the parameters and
allows for a theoretical assessment of a seeding strategy in a vascularising scaffold. |
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Keywords: | Cell migration Proliferation Oxygen transport Vascular Scaffold Tissue engineering |
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