Medizinische Universität Graz Austria/Österreich - Forschungsportal - Medical University of Graz
Gewählte Publikation:
SHR Neuro Krebs Kardio Lipid Stoffw Microb
Keeling, SL; Bammer, R; Stollberger, R.
Revision of the theory of tracer transport and the convolution model of dynamic contrast enhanced magnetic resonance imaging.
J Math Biol. 2007; 55(3):389-411
Doi: 10.1007/s00285-007-0089-3
[OPEN ACCESS]
Web of Science
PubMed
FullText
FullText_MUG
- Co-Autor*innen der Med Uni Graz
- Stollberger Rudolf
- Altmetrics:
- Dimensions Citations:
- Plum Analytics:
- Scite (citation analytics):
- Abstract:
- Counterexamples are used to motivate the revision of the established theory of tracer transport. Then dynamic contrast enhanced magnetic resonance imaging in particular is conceptualized in terms of a fully distributed convection-diffusion model from which a widely used convolution model is derived using, alternatively, compartmental discretizations or semigroup theory. On this basis, applications and limitations of the convolution model are identified. For instance, it is proved that perfusion and tissue exchange states cannot be identified on the basis of a single convolution equation alone. Yet under certain assumptions, particularly that flux is purely convective at the boundary of a tissue region, physiological parameters such as mean transit time, effective volume fraction, and volumetric flow rate per unit tissue volume can be deduced from the kernel.
- Find related publications in this database (using NLM MeSH Indexing)
- Algorithms -
- Capillary Permeability -
- Contrast Media - pharmacokinetics
- Diffusion -
- Diffusion Magnetic Resonance Imaging - methods
- Humans -
- Models, Biological -
- Regional Blood Flow -
- Find related publications in this database (Keywords)
- convection
- diffusion
- perfusion
- permeation
- tracer
- transport
- DCE-MRI
- convolution
- nonidentifiability