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Team:Grenoble/Modeling/Amplification/Stochastic/results
From 2012.igem.org
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The purpose of our device is to act more quickly than current techniques to detect the Golden Staph. Therefore we would like to evaluate the time needed to get an answer. We need to establish a time not to small to avoid false negatives and not to long to avoid false positives and to be performing. | The purpose of our device is to act more quickly than current techniques to detect the Golden Staph. Therefore we would like to evaluate the time needed to get an answer. We need to establish a time not to small to avoid false negatives and not to long to avoid false positives and to be performing. | ||
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In this first part we try to determine that time and in the third part we will analyse if it still be a good scale of time with respect to false positives. | In this first part we try to determine that time and in the third part we will analyse if it still be a good scale of time with respect to false positives. | ||
Revision as of 12:00, 19 September 2012
Goal
In this part we would like to answer 3 questions thanks to the stochastic modeling.
How much time do we need to wait to get a response ?
Is the sensibility given by stochastic modeling the same that in ODE modeling ?
What is the part of false positives ?
Time
The purpose of our device is to act more quickly than current techniques to detect the Golden Staph. Therefore we would like to evaluate the time needed to get an answer. We need to establish a time not to small to avoid false negatives and not to long to avoid false positives and to be performing.
In this first part we try to determine that time and in the third part we will analyse if it still be a good scale of time with respect to false positives.
Sensibility
The ODE modeling gave 10-6 mol/L of CAMPi as the sensibility. This means, if we have 10-6 mol/L of CAMP at the initial point, the system will turn on.
But this result is given by a deterministic analysis. What happens if we take into account the random phenomena of the bacterium ? Is the sensibility still so good ?
To perform that study, we use a Gillespie Algorithm to add randomness in our system. We want to obtain the evolution of the output signal (CA or GFP) depending on the concentration of the input signal (CAMPi) after 6h40 (400 min).
To get that graph we simulate the algorithm hundreed times for each concentration of CAMPi (1, 5, 10, …, 100 000 molecules).
We can compare the graph obtained with the one from the ODE modeling.
