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Optimization of Case-specific Vascular Tree Models Based on Vessel Size Imaging

Bryn A. Lloyd, Sven Hirsch and Gabor Székely
Proceedings of the 5th International Symposium on Biomedical Simulation - ISBMS10
Phoenix, USA, January 2010

Abstract

We analyze a problem, which is relevant for physiological modeling of vascular networks: the initialization and optimization of specific, individual models of a functioning vessel network. We do not try to describe the process of growing vessels. Rather, the model properties are optimized via similarity metrics between the artificial vessel network and suitable image data. A vascular network model has many degrees of freedom to optimize and it can be assumed that there are many different optimal solutions. In order to reduce the variability between different solutions we enforce certain physiological properties, for instance Murray's Law, which must be fulfilled by an optimal network. We propose and validate several similarity metrics, which can be used to optimize the radii of the vascular tree.


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@InProceedings{eth_biwi_00698,
  author = {Bryn A. Lloyd and Sven Hirsch and Gabor Székely},
  title = {Optimization of Case-specific Vascular Tree Models Based on Vessel Size Imaging},
  booktitle = {Proceedings of the 5th International Symposium on Biomedical Simulation - ISBMS10},
  year = {2010},
  month = {January},
  pages = {38-48},
  volume = {5958},
  editor = {F. Bello and S. Cotin},
  series = {LNCS},
  publisher = {Springer},
  keywords = {Vascular Tree, Optimization, Vessel Size Imaging, Weighted Least Square, Maximum Likelihood}
}