Abstract
A two co mpart ment mathematical model for the ind ividual plant growth under the stress of toxic metal is studied. In the model it is assumed that the uptake of to xic metal adsorbed on the surface of soil by the plant is through root compart ment thereby decreasing the root dry weight and shoot dry weight due to decrease in nutrient concentration in each compart ment. In order to visualize the effect of to xic metal on p lant growth, we have studied two models that is, mod el for plant growth with no toxic effect and model fo r plant growth with toxic effect. Fro m the analysis of the models the criteria for plant growth with and without toxic effects are derived. The numerical simu lation is done using Matlab to support the analytical results.
Highlights
Soil normally contains a lo w concentrat ion of heavy metals such as copper (Cu) and zinc (Zn), wh ich are the essential macronutrients for the optimu m gro wth of the p lants
Cad miu m (Cd ) is among the most widespread heavy metals found in the surface soil layer wh ich inhibits the uptake of nutrients by plants and as well as its growth[3]
The inhib ition of plant growth can be caused by the phytotoxic effect of cad miu m on different p rocesses in p lants, includ ing respirat ion, p hot osyn th es is, carboh yd rat e met ab o lis m an d wat er relat ion [4]
Summary
Soil normally contains a lo w concentrat ion of heavy metals such as copper (Cu) and zinc (Zn), wh ich are the essential macronutrients for the optimu m gro wth of the p lants. Cad miu m (Cd ) is among the most widespread heavy metals found in the surface soil layer wh ich inhibits the uptake of nutrients by plants and as well as its growth[3]. The to xic metals in the soil system could result in the leach ing of essential cation away fro m the rooted zone, decreasing plant. In the model it is assumed that the uptake of to xic metal adsorbed on the surface of soil by the plant is through root compartment thereby decreasing the root dry weight and shoot dry weight due to decrease in nutrient concentration in each compart ment. In the model it is further assumed that the maximu m root dry weight and shoot dry weight decrease due to the presence of toxic metal in root co mpart ment. Fro m the analytical and nu merical analysis of the mode l the criteria for p lant growth under the stress of toxic metal are derived
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