| Abstract | Whilst it is well known that angiogenesis plays a pivotal role in various mammalian growth processes such as embryogenesis and tumourigenesis, obtaining reliable experimental data from such processes for use in models is fraught with difficulty. However, wound analysis provides a more tractable approach for quantitative benchmarking of angiogenesis models, as corresponding experimental data can be obtained with relative ease. To this end, the main aim of this work is to develop a mathematical model of angiogenesis during wound healing in the murine panniculus carnosus. A mathematical model of wound healing in the murine panniculus carnosus is presented and compared against experimental stereology data associated with burn injury. The hybrid model incorporates the discrete in-growth of new vessels in response to growth factors such as TGF-β and the subsequent flow of blood within the nascent vasculature. By allowing dynamic adaptation of the new vessels in response to both haemodynamic and metabolic stimuli, network architectures comparable to the experimental observations are obtained. The model is then extended to examine the role of pericyte recruitment in wound healing. In particular, we assess the healing potential of wounds under the assumption of different plasticity windows in vascular remodelling. |
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