Team:TU-Munich/Modeling/Kill Switch

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Revision as of 22:24, 2 October 2013

Kill Switch Modelling

Purpose

The idea of our kill switch is to kill off our moss, as soon as it leaves the filter system. For this purpose two methods were proposed:

siRNA method: When some trigger is activated, siRNA is expressed to inhibiting the expression of a vital gene
nuclease method: When some trigger is activated, a nuclease is released destroying the DNA of the cell

Model

To decide between these two methods we modelled the vitality V of the cell (a number between 0 and 1, so a perfectly functional cell has V=1, a dead cell V=0) and depending on the test method the concentration of siRNA and nuclease as appropriate. Both concentrations were assumed to be normalized to the unit interval [0,1].

siRNA Modell

We determined the governing equations to be the following:

Defining

Nuclease Modell

Conclusion

For a functional kill-switch it is necessary, that the cells are actually killed completely and not just live on with reduced vitality. So based on our modelling results the siRNA approach is not satisfactory, while the nuclease satisfies the requirement. As a result the team pursued the nuclease approach leading to our final kill-switch.

@@ Line 44: / Line 44: @@
 [[File:TUM13_siRNA_stable_points.png|center]]
+[[File:TUM13_siRNA_alpha_gt_1.png|center]]
+[[File:TUM13_siRNA_alphaGT1_lowerbound.png|center]]
+[[File:TUM13_siRNA_alpha_lt_1.png|center]]
+[[File:TUM13_siRNA_alphaLT1_lowerbound.png|center]]
 [[File:TUM13_siRNA_stable_realistic_point.png|center]]