Journal Article

PreJuSER-10905

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Analytical model for long-distance tracer-transport in plants

Bühler, J.FZJ* ; Huber, G.FZJ* ; Schmid, F. ; Blümler, P.FZJ*

2011
Academic Press London

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/4395  doi:10.1016/j.jtbi.2010.11.005

Abstract: Recent 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.

Keyword(s): Algorithms (MeSH) ; Beta vulgaris: metabolism (MeSH) ; Biological Transport: physiology (MeSH) ; Carbon Radioisotopes: metabolism (MeSH) ; Computer Simulation (MeSH) ; Fourier Analysis (MeSH) ; Magnetic Resonance Imaging (MeSH) ; Models, Biological (MeSH) ; Phloem: metabolism (MeSH) ; Plant Roots: metabolism (MeSH) ; Plant Structures: metabolism (MeSH) ; Plants: metabolism (MeSH) ; Positron-Emission Tomography (MeSH) ; Radioactive Tracers (MeSH) ; Raphanus: metabolism (MeSH) ; Xylem: metabolism (MeSH) ; Zea mays: metabolism (MeSH) ; Carbon Radioisotopes ; Radioactive Tracers ; J ; Phloem ; 11C ; Simulation ; Data analysis ; Positron emissiontomography(PET) ; Phloem (auto) ; C-11 (auto) ; Simulation (auto) ; Data analysis (auto) ; Positron emission tomography (PET) (auto)

Note: We 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.; Record converted from JUWEL: 18.07.2013

---

Research Program(s):

1. Terrestrische Umwelt (P24)

Appears in the scientific report 2011

---

Database coverage:
;

---