ArticleJournal of the Royal Society, Interface2022
Rigorous mathematical optimization of synthetic hepatic vascular trees.
Article in Journal of the Royal Society, Interface, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed, 2 citations in OpenAlex.
- Hierarchy Aware CT-Driven Constrained Constructive Optimization: A Framework for Coronary Network Generation.Annals of biomedical engineering · 2026Article
- Article
- A multi-compartment homogenized perfusion model for deforming hierarchical vasculature.Biomechanics and modeling in mechanobiology · 2025Article
- A simplified computational liver perfusion model, with applications to organ preservation.Scientific reports · 2025Article
- Lumped parameter liver simulation to predict acute haemodynamic alterations following partial resections.Journal of the Royal Society, Interface · 2023Article
- The growth of capillary networks by branching for maximum fluid access.Scientific reports · 2023Article
- Tissue-growth-based synthetic tree generation and perfusion simulation.Biomechanics and modeling in mechanobiology · 2023Article
- Vascularization in Bioartificial Parenchymal Tissue: Bioink and Bioprinting Strategies.International journal of molecular sciences · 2022Review
- Rigorous mathematical optimization of synthetic hepatic vascular trees.Journal of the Royal Society, Interface · 2022Article
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we introduce a new framework for generating synthetic vascular trees, based on rigorous model-based mathematical optimization. Our main contribution is the reformulation of finding the optimal global tree geometry into a nonlinear optimization problem (NLP). This rigorous mathematical formulation accommodates efficient solution algorithms such as the interior point method and allows us to easily change boundary conditions and constraints applied to the tree. Moreover, it creates trifurcations in addition to bifurcations. A second contribution is the addition of an optimization stage for the tree topology. Here, we combine constrained constructive optimization (CCO) with a heuristic approach to search among possible tree topologies. We combine the NLP formulation and the topology optimization into a single algorithmic approach. Finally, we attempt the validation of our new model-based optimization framework using a detailed corrosion cast of a human liver, which allows a quantitative comparison of the synthetic tree structure with the tree structure determined experimentally down to the fifth generation. The results show that our new framework is capable of generating asymmetric synthetic trees that match the available physiological corrosion cast data better than trees generated by the standard CCO approach.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.