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丛枝菌根真菌吸收磷酸盐的数值分析

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本文利用对流扩散方程和菌丝长密度方程对丛枝菌根真菌的菌丝体吸收磷酸盐进行数值分析,研究了土壤缓冲能力、土壤含水量、磷酸盐的初始浓度、菌丝的平均半径和磷酸盐的扩散系数等五个参数对菌丝体养分吸收的影响.结果表明,土壤缓冲能力、磷酸盐的初始浓度和菌丝的平均半径都能促进菌丝体吸收磷酸盐;菌丝体吸收磷酸盐最强位置随三个参数值的增大分别向左移动、保持不变和向右移动;磷酸盐的初始浓度值不会影响菌丝体耗尽土壤中磷酸盐的时间;当菌丝的半径大干3× 10-4cm,菌丝体吸收磷酸盐的通量变化很小;在菌丝生长初期,根表面吸收磷酸盐强于菌丝体,在菌丝生长中后期,菌丝体占主导作用;菌丝体吸收磷酸盐的最大通量与土壤缓冲能力和磷酸盐的初始浓度呈线性相关.由于磷酸盐易被土壤吸附和固定,且溶解度较低,模型中的土壤含水量和磷酸盐的扩散系数对菌丝体磷酸盐吸收通量的影响不显著.土壤环境、资源和菌丝的形态共同决定菌丝体磷酸盐的吸收.
Numerical Analysis of Phosphate Uptake by Arbuscular Mycorrhizal Fungi
The numerical analysis is conducted on the phosphate uptake of arbuscular mycorrhizal fungi(AMF) using the convection diffusion equation and the hyphal length density equation in this paper.We mainly consider the influences of five parameters on the phosphate uptake of AMF:the buffer power of soil,the water content of soil,the diffusion coefficient of phosphate,the initial phosphate concentration in the soil solution and the average radius of hyphal.The numerical results show that the buffer power of soil,the initial phosphate concentration and the average radius of hyphal can promote the uptake phosphate of AMF.The strongest position in the phosphate uptake profile will respectively move to the left,stay still,and move to the right in mycelium networks as the values of the buffer power of soil,the initial phosphate concentration and the the average radius of hyphal increase;The initial concentration of phosphate do not change the depletion time of phosphate by mycelium in the soil;When the average radius of hyphal is larger than 3×10-4cm,the uptake influx of phosphate does not change evidently.At the beginning of hyphas growth,the phosphate uptake of root is larger than the mycelium,but otherwise afterwards.The largest influx of phosphate uptake by mycelium has a linear relationship with the buffer power or the average radius of hyphal.Because of the low solubility and immobility of the phosphate,the effect of the diffusion coefficient of phosphate and the water content of soil on phosphate uptake of AMF in the model is insignificant.The soil environment,resources and hyphal morphology codetermine the phosphate uptake by the mycelium.

The convective diffusion equationThe hyphal length density equationArbuscular mycorrhizal fungi

罗飞来、邹囡、欧忠辉

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福建师范大学数学与计算机科学学院,福建福州350108

对流扩散方程 菌丝长密度方程 丛枝菌根真菌

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DB-179IRTL1206

2016

生物数学学报
中国数学会生物数学学会

生物数学学报

ISSN:1001-9626
年,卷(期):2016.31(1)
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