Foster Kylie J, Miklavcic Stanley J
Phenomics and Bioinformatics Research Centre, School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes, SA 5095, Australia; Australian Centre for Plant Functional Genomics, Hartley Grove, Urrbrae, SA 5064, Australia.
J Theor Biol. 2013 Nov 7;336:132-43. doi: 10.1016/j.jtbi.2013.07.025. Epub 2013 Jul 31.
In this paper, we present and discuss a mathematical model of ion uptake and transport in roots of plants. The underlying physical model of transport is based on the mechanisms of forced diffusion and convection. The model can take account of local variations in effective ion and water permeabilities across the major tissue regions of plant roots, represented through a discretized coupled system of governing equations including mass balance, forced diffusion, convection and electric potential. We present simulation results of an exploration of the consequent enormous parameter space. Among our findings we identify the electric potential as a major factor affecting ion transport across, and accumulation in, root tissues. We also find that under conditions of a constant but realistic level of bulk soil salt concentration and plant-soil hydraulic pressure, diffusion plays a significant role even when convection by the water transpiration stream is operating.
在本文中，我们提出并讨论了植物根系中离子吸收和运输的数学模型。运输的基础物理模型基于强制扩散和对流机制。该模型可以考虑植物根系主要组织区域有效离子和水渗透率的局部变化，通过包括质量平衡、强制扩散、对流和电势的离散耦合控制方程组来表示。我们展示了对由此产生的巨大参数空间进行探索的模拟结果。在我们的研究结果中，我们确定电势是影响离子跨根组织运输和在根组织中积累的主要因素。我们还发现，在土壤盐分浓度和植物 - 土壤液压处于恒定但现实水平的条件下，即使水蒸腾流引起的对流起作用时，扩散也起着重要作用。
