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Arterial Growth From Optimisation Principles

Arterial Growth From Optimisation Principles. Jonathan J. Keelan , The Open University ( Global metabolic optimality in the structure of the coronary arteries, arXiv:1403.6450, J. Keelan , E.M.L. Chung and J.P. Hague). Arterial Trees. Approximately Binary (3% Trifurcation)

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Arterial Growth From Optimisation Principles

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  1. Arterial Growth From Optimisation Principles Jonathan J. Keelan, The Open University (Global metabolic optimality in the structure of the coronary arteries, arXiv:1403.6450, J. Keelan, E.M.L. Chung and J.P. Hague)

  2. Arterial Trees • Approximately Binary (3% Trifurcation) • Delivery and Transport • Topology and Geometry

  3. Energy Requirements • Blood volume maintenance • Pumping power / vascular resistance • Murrays Law

  4. Modelling • Fractal Models • Constrained Constructive Optimisation (CCO) • Morphological Models [2] [1] CCO Morphological 1. Schreiner, W., et al (2006). Optimized arterial trees supplying hollow organs. Medical Engineering & Physics, 28(5), 416-429 2. Kaimovitz, B., et al. (2010). A full 3-D reconstruction of the entire porcine coronary. Am J Phys. Heart Circ. Phys

  5. Modelling • Blood Supply • Arterial Exclusion • Volume and Power arXiv:1403.6450

  6. Simulated Annealing • Geometry • Topology • Boundary Constraints arXiv:1403.6450

  7. Results arXiv:1403.6450

  8. Results • Bifurcation asymmetry over various metabolic costs arXiv:1403.6450

  9. Results Anterior Posterior arXiv:1403.6450

  10. Future Work • Use real tissue geometries (e.g. Brain MRI data) • Model various organs • Incorporate into statistical stroke model

  11. Applications [1] • Medical Imaging Augmentation • Artificial tissue / Organs [1] Kolesky, David B. etc al, 3D Bioprinting of Vascularized, Heterogeneous Cell-Laden Tissue Constructs, Advanced Materials, 1521-4095

  12. Summary • Computational growth of arterial trees • Simulated Annealing algorithm for arbitrary tissue geometries • Accurate reproduction of Morphological / Structural properties

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