IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v438y2023ics0096300322006440.html
   My bibliography  Save this article

Analytical solutions of the nitrogen uptake model with Michaelis-Menten flux

Author

Listed:
  • Lin, Wenting
  • Ning, Xin
  • Ou, Zhonghui

Abstract

In this paper, we describe the application of the generalized finite Hankel transform method to the convection diffusion problems of nitrogen in soil subject to Robin boundary conditions and the right-hand side of the left Robin boundary condition is the classic nonlinear Michaelis-Menten flux. If the Michaelis-Menten flux is taken as a function of time, the analytical solution of series form can be derived by the generalized finite Hankel transform. In the calculation, the Michaelis-Menten flux is evaluated by the numerical concentration at the root surface and the number of terms of the partial sum is determined after adequately approximating the numerical solution. Therefore, we improve and develop the analytical method built by Garg et al., and exemplify and verify it by the nitrogen uptake model for roots. The investigated model has a representatively and completely mathematical structure among most nutrient uptake models, and then the analytical method and the solutions developed here can also be used to nutrient uptake problems in soil subject to homogeneous or inhomogeneous Dirichlet or Neumann boundary conditions.

Suggested Citation

  • Lin, Wenting & Ning, Xin & Ou, Zhonghui, 2023. "Analytical solutions of the nitrogen uptake model with Michaelis-Menten flux," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    • Handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006440
    DOI: 10.1016/j.amc.2022.127570
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322006440
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127570?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mollier, Alain & De Willigen, Peter & Heinen, Marius & Morel, Christian & Schneider, André & Pellerin, Sylvain, 2008. "A two-dimensional simulation model of phosphorus uptake including crop growth and P-response," Ecological Modelling, Elsevier, vol. 210(4), pages 453-464.
    2. Zand-Parsa, Sh. & Sepaskhah, A.R. & Ronaghi, A., 2006. "Development and evaluation of integrated water and nitrogen model for maize," Agricultural Water Management, Elsevier, vol. 81(3), pages 227-256, March.
    3. Khader, M.M. & Sweilam, N.H., 2016. "Singularly perturbed BVP to estimation of diaphragm deflection in MEMS capacitive microphone: An application of ADM," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 214-222.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. W. Yan & Y. Zhong & Z. Shangguan, 2015. "The relationships and sensibility of wheat C:N:P stoichiometry and water use efficiency under nitrogen fertilization," Plant, Soil and Environment, Czech Academy of Agricultural Sciences, vol. 61(5), pages 201-207.
    2. Sepaskhah, Ali Reza & Fahandezh-Saadi, Saghar & Zand-Parsa, Shahrokh, 2011. "Logistic model application for prediction of maize yield under water and nitrogen management," Agricultural Water Management, Elsevier, vol. 99(1), pages 51-57.
    3. Stricevic, Ruzica & Cosic, Marija & Djurovic, Nevenka & Pejic, Borivoj & Maksimovic, Livija, 2011. "Assessment of the FAO AquaCrop model in the simulation of rainfed and supplementally irrigated maize, sugar beet and sunflower," Agricultural Water Management, Elsevier, vol. 98(10), pages 1615-1621, August.
    4. Zhang, Yan & Ma, Qian & Liu, Donghua & Sun, Lefeng & Ren, Xiaolong & Ali, Shahzad & Zhang, Peng & Jia, Zhikuan, 2018. "Effects of different fertilizer strategies on soil water utilization and maize yield in the ridge and furrow rainfall harvesting system in semiarid regions of China," Agricultural Water Management, Elsevier, vol. 208(C), pages 414-421.
    5. Nogueira Júnior, Antonio F. & Amorim, Lilian & Savary, Serge & Willocquet, Laetitia, 2018. "Modelling the dynamics of grapevine growth over years," Ecological Modelling, Elsevier, vol. 369(C), pages 77-87.
    6. Gao, Haihe & Yan, Changrong & Liu, Qin & Li, Zhen & Yang, Xiao & Qi, Ruimin, 2019. "Exploring optimal soil mulching to enhance yield and water use efficiency in maize cropping in China: A meta-analysis," Agricultural Water Management, Elsevier, vol. 225(C).
    7. Mahbod, Mehdi & Zand-Parsa, Shahrokh & Sepaskhah, Ali Reza, 2015. "Modification of maize simulation model for predicting growth and yield of winter wheat under different applied water and nitrogen," Agricultural Water Management, Elsevier, vol. 150(C), pages 18-34.
    8. Noshadi, Masoud & Jamshidi, Sajad, 2014. "Modification of water movement equations in the PRZM3 for simulating pesticides in soil profile," Agricultural Water Management, Elsevier, vol. 143(C), pages 38-47.
    9. Banimahd, S.A. & Zand-Parsa, Sh., 2013. "Simulation of evaporation, coupled liquid water, water vapor and heat transport through the soil medium," Agricultural Water Management, Elsevier, vol. 130(C), pages 168-177.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006440. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.