Abstract
We have studied the plant root surface as an absorption mechanism and plant root growth, and a growth absorption model is proposed, i.e., the free boundary Michaelis-Menten model. Differences in nutrient availability and transport between the root surface and the rhizosphere were studied through the mechanism of absorption which manifests itself in the limit expression of Michaelis-Menten kinetics for low concentrations. We solved the resultant equations analytically by the quasi-stationary method with two interface boundary conditions and with boundary and initial conditions. The solution is used to compute growth of root radius. Several examples of concentration distribution curves in soil and root-soil interface as a function of root radius are plotted. The parameters that are varied are root absorption power, flux velocity, transpiration rate, rhizosphere soil-solution concentration, diffusion coefficient, and buffer power.
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Claims 3
Claim · model-written summary
The proposed free-boundary Michaelis-Menten growth-absorption equations were solved analytically.
- Taxon
- plant roote1
- Outcome
- solved the resultant equations analyticallye0
- Value
- two interface boundary conditionse0
Not reportedComparator
Verbatim
e0“We solved the resultant equations analytically by the quasi-stationary method with two interface boundary conditions and with boundary and initial conditions”
e1“plant root growth”
Claim · model-written summary
The model solution was used to compute root radius growth.
Not reportedValue
Verbatim
e0“The solution is used to compute growth of root radius”
e1“plant root growth”
Claim · model-written summary
The model produced soil and root-soil interface concentration curves as a function of root radius.
Verbatim
e0“Several examples of concentration distribution curves in soil and root-soil interface as a function of root radius are plotted”
e1“plant root growth”