Team:Groningen/Modelling/Arsenic

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Revision as of 14:18, 4 June 2009

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Our initial ideas on how and what to model can be found at Modelling/Brainstorm.

The raw model

Note: Math support is currently not enabled on this Wiki... (I've asked hq if they can enable it.)

The following variables play an important role in our system (these can be concentrations of substances, the density of the cell, etc.):

• [Hg²⁺] (if we want to accumulate mercury)
•  ???

The variables above can be related to each other through the following "reactions" and/or equations:

• Example of a reaction: Extra_Cellular_Cu -> Intra_Cellular_Cu, with the reaction rate 0.34*(Extra_Cellular_Cu-Intra_Cellular_Cu).
• From REFERENCE: Extra Cellular Hg²⁺ -> Intra Cellular Hg²⁺, described by the differential equation <math>\frac{\partial[M]}{X \partial t}=\frac{V_m[M]}{K_m+[M]}</math>, where X is the cell mass concentration (in g/L). Question: What is [M]? It looks like it should be the concentration outside the cell (in mg/L), but that doesn't make sense, as everything on the right-hand side is positive, suggesting that the concentration outside the cell is growing...

Any constants used above are defined here:

• <math>K_m=6 mg/L</math>
• <math>V_m=18 mg/(min\cdot g)</math> (note that the gram comes from gram dry cell weight)
•  ???