The University of New South Wales, NSW 2052, Australia.
Math Biosci. 2013 Aug;244(2):116-24. doi: 10.1016/j.mbs.2013.04.014. Epub 2013 May 11.
In this paper, a non-linear mathematical model for removing an inorganic pollutant such as chromium from a water body using fungi is proposed and analyzed. It is assumed that the inorganic pollutant is discharged in a water body with a constant rate, which is depleted due to natural factors as well as by fungal absorption using dissolved oxygen in the process. The model is analyzed by using stability theory of differential equations and simulation. The analysis shows that the inorganic pollutant can be removed from the water body by fungal absorption, the rate of removal depends upon the concentration of inorganic pollutant, the density of fungal population and various interaction processes. The simulation analysis of the model confirms the analytical results. It is noted here this theoretical result is qualitatively in line with the experimental observations of one of the authors (Sanghi).
本文提出并分析了一个利用真菌从水体中去除无机污染物(如铬)的非线性数学模型。假设无机污染物以恒定速率排放到水体中,由于自然因素以及真菌在吸收过程中利用溶解氧,污染物会被耗尽。该模型使用微分方程稳定性理论和模拟进行了分析。分析表明,真菌吸收可以去除水体中的无机污染物,去除速率取决于无机污染物的浓度、真菌种群的密度和各种相互作用过程。对模型的仿真分析证实了分析结果。需要指出的是,这一理论结果与其中一位作者(桑吉)的实验观察结果在定性上是一致的。