I have just measured the Cd concentration of root, higher organs and soil during growth period six times and now I am looking for a numerical model based on time (preferably with CFD).
I have just these concentrations and soil properties data.
Hello! Admittedly, "Numerical Modelling" is a bit outside of my areas of expertise. However, your question intrigued me. Therefore, perhaps one of these articles that I recently ran across (or references therein) might be found useful:
Numerical Modeling of Contaminant Transport Using HYDRUS and its Specialized Modules (ŠIMŮNEK et al., 2013)
http://www.pc-progress.com/Documents/Jirka/Simunek_et_al_JIISc-9302_2013.pdf
Development and Applications of the HYDRUS and STANMOD Software Packages and Related Codes (ŠIMŮNEK et al., 2008)
https://dl.sciencesocieties.org/publications/vzj/pdfs/7/2/587
Modeling Cadmium Accumulation in Radish, Carrot, Spinach and Cabbage (VERMA et al., 2007)
http://ac.els-cdn.com/S0307904X06001223/1-s2.0-S0307904X06001223-main.pdf?_tid=9f3f7440-10e4-11e4-b889-00000aab0f6b&acdnat=1405953664_39dc780602be0f747780f2b7d9c2b2f2
1) Plot Cd concentration in roots against time and Cd concentration in organs against time The accumulation then follows this law:
Cd content at time t =Maximum Cd content * ( 1-exp (-K*t)
where the unknowns are the maximum Cd content and K is the accumulation rate.
You should be able to estimate by the two plots both the maximum content than the accumulation rat in roots and organs, respectively.
I have not worked on numerical modelling as of yet. However, since Cd is non essential and lacks it own transmembrane through which it can be accumulated and translocated to other parts of the plant, it might be useful if you consider interactions with those essential element that are normally displaced by it
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