Blood Vessel Branching: Beyond the Standard Calculus Problem

@article{Adam2011BloodVB,
  title={Blood Vessel Branching: Beyond the Standard Calculus Problem},
  author={J. Adam},
  journal={Mathematics Magazine},
  year={2011},
  volume={84},
  pages={196 - 207}
}
  • J. Adam
  • Published 2011
  • Mathematics
  • 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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