% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Meunier:840425,
      author       = {Meunier, Félicien and Draye, Xavier and Vanderborght, Jan
                      and Javaux, Mathieu and Couvreur, Valentin},
      title        = {{A} hybrid analytical-numerical method for solving water
                      flow equations in root hydraulic architectures},
      journal      = {Applied mathematical modelling},
      volume       = {52},
      issn         = {0307-904X},
      address      = {Gauting},
      publisher    = {Schwappach63682},
      reportid     = {FZJ-2017-07942},
      pages        = {648 - 663},
      year         = {2017},
      abstract     = {In this manuscript, we propose a new method to calculate
                      water flow and xylem water potential distribution in
                      hydraulic architectures (such as root systems) of any
                      complexity. It is based on the extension of the water flow
                      equation analytical resolution of Landsberg and Fowkes for
                      single roots. It consists in splitting the root systems in
                      zones of homogeneous or homogeneously changing properties
                      and deriving the xylem potential and water flow under any
                      given boundary conditions (plant transpiration or collar
                      potential, and potential at soil-root interfaces) without
                      assuming a uniform xylem potential within each zone. The
                      method combines analytical solutions of water flow within
                      the segmented zones with the numerical solution of flow
                      connectivity for the whole root system.We demonstrate that
                      the proposed solution is the asymptote of the exclusively
                      numerical solution for infinitesimal root segment lengths
                      (and infinite segment number). As water uptake locations and
                      magnitudes predicted by the latter solution for finite
                      segmentation lengths deviate from the exact solution, and
                      are computationally more intensive, we conclude that the new
                      methodology should always be privileged for future
                      applications.The proposed solution can be easily coupled to
                      soil modules (as already done with existing solutions) and
                      further implemented in functional-structural plant models to
                      predict water flow in the soil-plant atmosphere continuum
                      with a better accuracy than current models. Finally the new
                      solution may be used to calculate more accurately plant
                      scale macroscopic parameters for crop models.},
      cin          = {IBG-3},
      ddc          = {610},
      cid          = {I:(DE-Juel1)IBG-3-20101118},
      pnm          = {255 - Terrestrial Systems: From Observation to Prediction
                      (POF3-255)},
      pid          = {G:(DE-HGF)POF3-255},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000415780400041},
      doi          = {10.1016/j.apm.2017.08.011},
      url          = {https://juser.fz-juelich.de/record/840425},
}