@Article{JNMA-5-2,
author = {Wenting, Lin and Xin, Ning and Shen, Jianhe and Zhonghui, Ou},
title = {Global Steady State Analytical Solution of Cadmium Uptake Model for Plant Roots},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {2},
pages = {336--353},
abstract = {<p style="text-align: justify;">The concentration distribution of cadmium ion in soil is studied by
the phytoavailability model. According to the states of the cadmium complex:
fully inert, fully labile and partially labile, we establish three corresponding
cadmium uptake sub-models, and derive respective global analytical solutions
at steady state. In particular, when the complex is partially labile, we give
the steady analytical solution of cadmium ion concentration in cylindrical geometry composed of the analytical solutions of partially labile complex and
fully inert complex in planar geometry and fully inert complex in cylindrical
geometry, that is, the ration approximation method. In this paper, the global
analytical solutions are compared with the results of literature and numerical
simulations. Therefore, the double check is realized to ensure the rationality
of the analytical method. The global concentration profile of cadmium ions
in the whole rhizosphere can be described by the steady state analytical solutions: the concentration of cadmium ion increases with the distance from the
root surface and finally reaches the initial value; the change rate of cadmium
ion concentration is the largest when the complex is fully labile; whatever the
state of the complex is, cadmium ions never accumulate on the root surface.
Finally, we discuss and compare the effects of moving and fixed right boundaries of the model on the results. The results show that it is more reasonable
to take the fixed right boundary, and plant roots can uptake cadmium ions in
a wider range.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.336},
url = {https://global-sci.com/article/87874/global-steady-state-analytical-solution-of-cadmium-uptake-model-for-plant-roots}
}