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Article

Eden Model Simulation of Re-Epithelialization and Angiogenesis of an Epidermal Wound

School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623, USA
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Author to whom correspondence should be addressed.
Processes 2018, 6(11), 207; https://doi.org/10.3390/pr6110207
Received: 31 July 2018 / Revised: 28 September 2018 / Accepted: 23 October 2018 / Published: 25 October 2018
(This article belongs to the Special Issue Systems Biomedicine )
Among the vital processes of cutaneous wound healing are epithelialization and angiogenesis. The former leads to the successful closure of the wound while the latter ensures that nutrients are delivered to the wound region during and after healing is completed. These processes are regulated by various cytokines and growth factors that subtend their proliferation and migration into the wound region until full healing is attained. Wound epithelialization can be enhanced by the administration of epidermal stem cells (ESC) or impaired by the presence of an infection. This paper uses the Eden model of a growing cluster to independently simulate the processes of epithelialization and angiogenesis in a cutaneous wound for different geometries. Further, simulations illustrating bacterial infection are provided. Our simulation results demonstrate contraction and closure for any wound geometry due to a collective migration of epidermal cells from the wound edge in fractal form and the diffusion of capillary sprouts with the laying down of capillary blocks behind moving tips into the wound area. View Full-Text
Keywords: Eden model; wound healing; epithelialization; angiogenesis; bacteria infection; cluster growth Eden model; wound healing; epithelialization; angiogenesis; bacteria infection; cluster growth
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MDPI and ACS Style

Agyingi, E.; Wakabayashi, L.; Wiandt, T.; Maggelakis, S. Eden Model Simulation of Re-Epithelialization and Angiogenesis of an Epidermal Wound. Processes 2018, 6, 207. https://doi.org/10.3390/pr6110207

AMA Style

Agyingi E, Wakabayashi L, Wiandt T, Maggelakis S. Eden Model Simulation of Re-Epithelialization and Angiogenesis of an Epidermal Wound. Processes. 2018; 6(11):207. https://doi.org/10.3390/pr6110207

Chicago/Turabian Style

Agyingi, Ephraim, Luke Wakabayashi, Tamas Wiandt, and Sophia Maggelakis. 2018. "Eden Model Simulation of Re-Epithelialization and Angiogenesis of an Epidermal Wound" Processes 6, no. 11: 207. https://doi.org/10.3390/pr6110207

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