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A simple model of wound healing angiogenesis is presented, and investigated using numerical and asymptotic techniques. The model captures many key qualitative features of the wound healing angiogenic response, such as the propagation of a structural unit into the wound centre. A detailed perturbative study is pursued, and is shown to capture all features of the model. This enables one to show that the level of the angiogenic response predicted by the model is governed to a good approximation by a small number of parameter groupings. Further investigation leads to predictions concerning how one should select between potential optimal means of stimulating cell proliferation in order to increase the level of the angiogenic response.
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
May 2012,
Journal of theoretical biology,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
December 2014,
Plastic and reconstructive surgery. Global open,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
January 2007,
Progress in histochemistry and cytochemistry,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
July 2014,
The American journal of pathology,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
January 2006,
Wound repair and regeneration : official publication of the Wound Healing Society [and] the European Tissue Repair Society,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
August 1996,
Mathematical biosciences,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
April 1999,
The Journal of surgical research,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
November 2020,
FASEB journal : official publication of the Federation of American Societies for Experimental Biology,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
January 2017,
Frontiers in physiology,
E A Gaffney, and
K Pugh, and
P K Maini, and
F Arnold
May 2019,
Angiogenesis,
