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)
Delivery and Transport
Topology and Geometry
Energy Requirements
Blood volume maintenance
Pumping power / vascular resistance
Murrays Law
Modelling
Fractal Models
Constrained Constructive Optimisation (CCO)
Morphological Models
Modelling
Blood Supply
Arterial Exclusion
Volume and Power
Simulated Annealing
Geometry
Topology
Boundary Constraints
Results
Results
Bifurcation asymmetry over various metabolic costs
Results
Future Work
Use real tissue geometries (e.g. Brain MRI data)
Model various organs
Incorporate into statistical stroke model
Applications
Medical Imaging Augmentation
Artificial tissue / Organs
Summary
Computational growth of arterial trees
Simulated Annealing algorithm for arbitrary tissue geometries
Accurate reproduction of Morphological / Structural properties