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Team:UANL Mty-Mexico/Modeling/transport and accumulation
From 2012.igem.org
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<p>After considering the effect of their metallothioneins (As-binding proteins), GlpF, ArsB and ArsR, they ended with the following time derivative:</p> | <p>After considering the effect of their metallothioneins (As-binding proteins), GlpF, ArsB and ArsR, they ended with the following time derivative:</p> | ||
<p><br></p> | <p><br></p> | ||
| - | + | <p><b>Eq. 1</b></p> | |
| - | \ | + | <img src="http://latex.codecogs.com/gif.latex?\small \inline \dpi{150} \frac{\mathrm{d[As(III)in] } }{\mathrm{d} x} = -ArsR_{As}-MBPArsR_{As} -nf\cdot fMT_{As} -k_{1} ArsB_{As} + \frac{k_{2}V_{s}GlpF_{As}}{V_{c}}" title="\small \inline \dpi{150} \frac{\mathrm{d[As(III)in] } }{\mathrm{d} x} = -ArsR_{As}-MBPArsR_{As} -nf\cdot fMT_{As} -k_{1} ArsB_{As} + \frac{k_{2}V_{s}GlpF_{As}}{V_{c}}" /> |
| - | \frac{d[ | + | |
| - | + | ||
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<p></br></p> | <p></br></p> | ||
Revision as of 21:32, 16 September 2012
Transport and accumulation
Before us, team iGEM Groningen 2009 made a model for an arsenic accumulator at the population level; that is, they set some ODEs that represent the change on the total intracellular arsenic (considering not a single cell, but the whole culture, or more exactly, the total cell volume) with respect to time. Nevertheless, as the precise value for some parameters were unavailable, specially for the ArsB effect, part of their model remains aparameterized and they perform a quasi-steady state analysis.
After considering the effect of their metallothioneins (As-binding proteins), GlpF, ArsB and ArsR, they ended with the following time derivative:
Eq. 1
We built upon their model and made the following modifications:
They also characterized the BioBrick corresponding to the GlpF transporter
Core model
ODEs
Parameters
Simulations
Steady state analysis
Model considering lethal level of intracellular free As
Population level model
