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000010905 084__ $$2WoS$$aBiology
000010905 084__ $$2WoS$$aMathematical & Computational Biology
000010905 1001_ $$0P:(DE-Juel1)5963$$aBühler, J.$$b0$$uFZJ
000010905 245__ $$aAnalytical model for long-distance tracer-transport in plants
000010905 260__ $$aLondon$$bAcademic Press$$c2011
000010905 29510 $$aJournal of Theoretical Biology 270 (2011) 70–79
000010905 300__ $$a70 - 79
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000010905 500__ $$aWe wish to thank Hanno Scharr, Wilfried Wolff, Michael Thorpe and Peter Minchin for helpful discussions. Special thanks go to Siegfried Jahnke for valuable comments and access to the PET data. Jonas Buhler wants to thank Martin Reissel for technical support. Friederike Schmid acknowledges financial support from the MRL of UC Santa Barbara during a sabbatical. This work was partially supported by the MRSEC Program of the National Science Foundation under Award no. DMR05-20415. Finally, Peter Blumler wants to thank Helmut Soltner for an excursion into Laplacian space! Last but not least continuous support from Uli Schurr made this work possible.
000010905 500__ $$aRecord converted from JUWEL: 18.07.2013
000010905 520__ $$aRecent investigations of long-distance transport in plants using non-invasive tracer techniques such as (11)C radiolabeling monitored by positron emission tomography (PET) combined with magnetic resonance imaging (MRI) revealed the need of dedicated methods to allow a quantitative data analysis and comparison of such experiments. A mechanistic compartmental tracer transport model is presented, defined by a linear system of partial differential equations (PDEs). This model simplifies the complexity of axial transport and lateral exchanges in the transport pathways of plants (e.g. the phloem) by simulating transport and reversible exchange within three compartments using just a few parameters which are considered to be constant in space and time. For this system of PDEs an analytical solution in Fourier-space was found allowing a fast and numerically precise evaluation. From the steady-state behavior of the model, the system loss (steadily fixed tracer along the transport conduits) was derived as an additional parameter that can be readily interpreted in a physiological way. The presented framework allows the model to be fitted to spatio-temporal tracer profiles including error and sensitivity analysis of the estimated parameters. This is demonstrated for PET data sets obtained from radish, sugar beet and maize plants.
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The publication is available at
http://www.sciencedirect.com/science/article/pii/S0022519310005904
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000010905 65320 $$2Author$$aPhloem
000010905 65320 $$2Author$$aC-11
000010905 65320 $$2Author$$aSimulation
000010905 65320 $$2Author$$aData analysis
000010905 65320 $$2Author$$aPositron emission tomography (PET)
000010905 650_2 $$2MeSH$$aAlgorithms
000010905 650_2 $$2MeSH$$aBeta vulgaris: metabolism
000010905 650_2 $$2MeSH$$aBiological Transport: physiology
000010905 650_2 $$2MeSH$$aCarbon Radioisotopes: metabolism
000010905 650_2 $$2MeSH$$aComputer Simulation
000010905 650_2 $$2MeSH$$aFourier Analysis
000010905 650_2 $$2MeSH$$aMagnetic Resonance Imaging
000010905 650_2 $$2MeSH$$aModels, Biological
000010905 650_2 $$2MeSH$$aPhloem: metabolism
000010905 650_2 $$2MeSH$$aPlant Roots: metabolism
000010905 650_2 $$2MeSH$$aPlant Structures: metabolism
000010905 650_2 $$2MeSH$$aPlants: metabolism
000010905 650_2 $$2MeSH$$aPositron-Emission Tomography
000010905 650_2 $$2MeSH$$aRadioactive Tracers
000010905 650_2 $$2MeSH$$aRaphanus: metabolism
000010905 650_2 $$2MeSH$$aXylem: metabolism
000010905 650_2 $$2MeSH$$aZea mays: metabolism
000010905 650_7 $$00$$2NLM Chemicals$$aCarbon Radioisotopes
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000010905 650_7 $$aPositron emissiontomography(PET)
000010905 7001_ $$0P:(DE-Juel1)129333$$aHuber, G.$$b1$$uFZJ
000010905 7001_ $$0P:(DE-HGF)0$$aSchmid, F.$$b2
000010905 7001_ $$0P:(DE-Juel1)VDB49819$$aBlümler, P.$$b3$$uFZJ
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