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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) - PowerPoint PPT Presentation
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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)
Open University
Arterial Trees
• Approximately Binary (3% Trifurcation)• Delivery and Transport• Topology and Geometry
Open University
Energy Requirements
• Blood volume maintenance• Pumping power / vascular resistance• Murrays Law
Open University
Modelling
• Fractal Models• Constrained Constructive Optimisation (CCO)• Morphological Models
1. Schreiner, W., et al (2006). Optimized arterial trees supplying hollow organs. Medical Engineering & Physics, 28(5), 416-4292. Kaimovitz, B., et al. (2010). A full 3-D reconstruction of the entire porcine coronary. Am J Phys. Heart Circ. Phys
CCO Morphological
[1] [2]
Open University
Modelling
• Blood Supply• Arterial Exclusion• Volume and Power
arXiv:1403.6450
Open University
Simulated Annealing
• Geometry• Topology• Boundary Constraints
arXiv:1403.6450
Open University
Results
arXiv:1403.6450
Open University
Results• Bifurcation
asymmetry over various metabolic costs
arXiv:1403.6450
Open University
Results
arXiv:1403.6450 Anterior Posterior
Open University
Future Work
• Use real tissue geometries (e.g. Brain MRI data)• Model various organs• Incorporate into statistical stroke model
Open University
Applications
• 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
[1]
Open University
Summary
• Computational growth of arterial trees• Simulated Annealing algorithm for arbitrary tissue geometries• Accurate reproduction of Morphological / Structural properties