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