Energetics of healing wounds

David Fortus sent this review of a recent article on the energetics of wound healing. 

http://www.technologyreview.com/view/509071/energy-conservation-and-the-puzzle-of-the-bodys-healing-rate/

I am amazed that energetics might be a limiting factor on the rate at which our bodies heal. 

Apell and co calculate that growing new cells requires, on average, about 20 kiloJoules per gram of new tissue grown. “This means in physical terms that wounds acts like substantial energy sinks,” they say.

Certainly only a small percentage of this 20kJ/gr is actually stored as chemical energy in the new tissue so wounds are not just acting like energy sinks.  I wonder if you can actually detect a healing wound thermally by the rise in temperature in the vicinity of the new tissue formation.