Difference between revisions of "Team:Hong Kong HKUST/Modelling Prediction Model"
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| + | <p style="font-size: 1.2em;">By applying the findings from the stability analysis to the modeling equations, we obtain the following prediction graphs:</p> | ||
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| + | <Figp style="font-size:14px; padding: 0 0.9em;"><b>Fig. 5. Prediction model of tristable switch. Graphs in the 1st row represent the inducer concentration change over time, in this case, a pulse of inducer molecule 2 is introduced to the system from t=100 mins to t=200 mins. The graphs in the 2nd row represent the dynamic of mRNAs corresponding to each of the three operons in the tristable system. The plots in the 3rd row represent the dynamic of the three repressors (i.e. LacI, TetR and Phl). While the graphs in the 4th row describe the reporter proteins’ (i.e. fluorescent proteins) dynamic over time.</b></Figp> | ||
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| + | <p style="font-size: 1.2em;">From the graph, when a pulse of inducer 2 is introduced to the system, mRNA 2 and reporter protein 2 respond afterwards with concentrations increase from 0 to a high level, and the outputs (mRNA 2 and reporter protein 2) maintain at ‘on-state’ (i.e. high level of output) without decreasing back to ‘off-state’ (i.e. zero output level) | ||
| + | In conclusion, from the prediction model, by applying suitable parameter values obtained from the stability analysis, it is simulated that upon addition of inducers, the corresponding state is switched on, which is indicated by the high and steady output level of the reporter protein. This behavior fits the design of tristable switch.</p> | ||
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Revision as of 00:26, 19 October 2016
Prediction Model
The last step is to predict the behaviour of the system when all the parameters are fixed. For a global prediction, all species and processes that are related to the system should be covered. Therefore, we consider the dynamic of mRNA and fluorescent proteins in the prediction model. Nevertheless, another problem is brought about because this setting is contradictory to our model as the dynamic of mRNA is ignored before. In fact, the equilibrium of mRNA is a fast process when compared to proteins so we argue that the inclusion of mRNA dynamic will not give a picture differ from the case in which mRNA dynamic is neglected. In addition, the dynamic of inducers is introduced, the cooperativity and the binding affinity of inducer to repressor proteins are also considered.
By applying the findings from the stability analysis to the modeling equations, we obtain the following prediction graphs:
From the graph, when a pulse of inducer 2 is introduced to the system, mRNA 2 and reporter protein 2 respond afterwards with concentrations increase from 0 to a high level, and the outputs (mRNA 2 and reporter protein 2) maintain at ‘on-state’ (i.e. high level of output) without decreasing back to ‘off-state’ (i.e. zero output level) In conclusion, from the prediction model, by applying suitable parameter values obtained from the stability analysis, it is simulated that upon addition of inducers, the corresponding state is switched on, which is indicated by the high and steady output level of the reporter protein. This behavior fits the design of tristable switch.
