Blood Vessel Branching: Beyond the Standard Calculus Problem

  title={Blood Vessel Branching: Beyond the Standard Calculus Problem},
  author={John A. Adam},
  journal={Mathematics Magazine},
  pages={196 - 207}
  • J. Adam
  • Published 1 June 2011
  • Business
  • Mathematics Magazine
Summary Calculating the optimal angle for blood vessel branching is a standard calculus problem. However, optimality in that setting is judged by a cost functional that turns out not to give realistic results. We study a sequence of improvements to the cost functional, finally arriving at one that passes an important modeling test: From this last functional, we derive three empirical laws of blood vessel branching, originally proposed by German zoologist Wilhelm Roux. 
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