I am a Comp Eng / Mathematics double major at University of Maryland: Baltimore County. I am interested in starting a for-profit medical device company. I plan on doing a Masters or PhD in Biomedical Eng, Electrical Eng, or Comp Eng.
Resources or intro to people would be very useful. Random messaging is good.
I have read in Where Good Ideas Come From by Steven Johnson that innovation can be modelled by a graph where create a vertex on the graph with edges on the used technologies that are combined. In The Structure of Scientific Revolutions, Thomas Kuhn develops paradigms where they are built upon with normal science and new paradigms are created by disproving an assumption and building a new paradigm. The Innovators Dilemma by Clayton Christenson has a similar idea where revolutionary technologies start out as lower quality and build up over time while competitors invest in the best short term innovation (iterative technology).
What sort of mathematical /logical model do you use for modeling innovation?