Team:Virginia/Model
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In order to develop our model, we decided on a system of nonlinear ordinary differential equations (ODEs) to describe the concentrations of arsenate (As(V)) and arsenite (As(III)). This system of nonlinear ODEs are based on the concept of mass balance. The model is divided into two compartments: intracellular and extracellular. The above schematic was used to develop the model. | In order to develop our model, we decided on a system of nonlinear ordinary differential equations (ODEs) to describe the concentrations of arsenate (As(V)) and arsenite (As(III)). This system of nonlinear ODEs are based on the concept of mass balance. The model is divided into two compartments: intracellular and extracellular. The above schematic was used to develop the model. | ||
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Revision as of 23:59, 21 October 2009
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File:People.virginia.edu/~mef3s/VGEM/Ecol nat.png
In order to develop our model, we decided on a system of nonlinear ordinary differential equations (ODEs) to describe the concentrations of arsenate (As(V)) and arsenite (As(III)). This system of nonlinear ODEs are based on the concept of mass balance. The model is divided into two compartments: intracellular and extracellular. The above schematic was used to develop the model.
The equation below describes the first part of the model whereby extracellular arsenate concentration is determined by diffusional flux into and out of the cell. This flux is determined by the concentration gradient as reflected in the equation below.
The next part of the model represents the intracellular arsenate concentration. This is a function of the influx of arsenate into the cell by diffusion as well as the eflux of arsenate from the cell. Furthermore, there is a term (the kc term) which represents the conversion of arsenate into arsenite by Ars C reductase.
Intracellular arsenite is generated by the
--Bsf2u 23:59, 21 October 2009 (UTC)