Modeling of the contrast-enhanced perfusion test in liver based on the multi-compartment flow in porous media
Language English Country Germany Media print-electronic
Document type Journal Article, Research Support, Non-U.S. Gov't
Grant support
LO 1506
Czech Ministry of Education,Youth and Sports - International
PubMed
29368273
DOI
10.1007/s00285-018-1209-y
PII: 10.1007/s00285-018-1209-y
Knihovny.cz E-resources
- Keywords
- Bernoulli equation, Darcy flow, Dynamic contrast-enhanced computed tomography, Liver perfusion, Porous media, Transport equation,
- MeSH
- Finite Element Analysis MeSH
- Models, Biological MeSH
- Liver Circulation * physiology MeSH
- Liver blood supply diagnostic imaging MeSH
- Contrast Media pharmacokinetics MeSH
- Humans MeSH
- Mathematical Concepts MeSH
- Tomography, X-Ray Computed statistics & numerical data MeSH
- Computer Simulation MeSH
- Porosity MeSH
- Radiographic Image Enhancement methods MeSH
- Imaging, Three-Dimensional statistics & numerical data MeSH
- Check Tag
- Humans MeSH
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
- Names of Substances
- Contrast Media MeSH
The paper deals with modeling the liver perfusion intended to improve quantitative analysis of the tissue scans provided by the contrast-enhanced computed tomography (CT). For this purpose, we developed a model of dynamic transport of the contrast fluid through the hierarchies of the perfusion trees. Conceptually, computed time-space distributions of the so-called tissue density can be compared with the measured data obtained from CT; such a modeling feedback can be used for model parameter identification. The blood flow is characterized at several scales for which different models are used. Flows in upper hierarchies represented by larger branching vessels are described using simple 1D models based on the Bernoulli equation extended by correction terms to respect the local pressure losses. To describe flows in smaller vessels and in the tissue parenchyma, we propose a 3D continuum model of porous medium defined in terms of hierarchically matched compartments characterized by hydraulic permeabilities. The 1D models corresponding to the portal and hepatic veins are coupled with the 3D model through point sources, or sinks. The contrast fluid saturation is governed by transport equations adapted for the 1D and 3D flow models. The complex perfusion model has been implemented using the finite element and finite volume methods. We report numerical examples computed for anatomically relevant geometries of the liver organ and of the principal vascular trees. The simulated tissue density corresponding to the CT examination output reflects a pathology modeled as a localized permeability deficiency.
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