Abstract
Angiogenesis, or capillary growth from pre-existing vasculature, is an essential component of several physiological processes, both vital and pathological. These include dermal wound healing and tumour growth that together pose some of the most significant challenges to healthcare systems worldwide. Over the last few decades, mathematical modelling has proven to be a valuable tool for unravelling the complex network of interactions that underlie such processes. Moreover, theoretical frameworks that describe some of the mechanical and chemical aspects of angiogenesis inherent in wound healing and tumour growth have revealed intriguing similarities between the two processes. In this review, we highlight some of the significant contributions made by mathematical models of tumour-induced and wound healing angiogenesis and illustrate how advances in each field have been made using insights from the other. We also detail some open problems that could be addressed through a combination of theoretical and experimental approaches.
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Figure adapted from Enoch et al. (2006)
Modified from Bauer et al. (2007)
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Acknowledgements
JAF would like to acknowledge funding from the Australian Research Council (DE160100227) that supported this work. SNM is supported by the IMSc Complex Systems Project (12th Plan). We would also like to thank Rocio A. Mince for help with the illustrated schematics.
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Flegg, J.A., Menon, S.N., Byrne, H.M. et al. A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis. Bull Math Biol 82, 23 (2020). https://doi.org/10.1007/s11538-020-00696-0
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DOI: https://doi.org/10.1007/s11538-020-00696-0