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