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Revision as of 18:40, 18 October 2016

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2016 Hong Kong HKUST iGEM - Modelling

Modelling

The tristable switch functions when a selected promoter is induced, two downstream targets are automatically repressed. Through this alternating activation and repression of promoters, the state of the system can be flipped independent of the inducers applied. Therefore, focusing on the regulation and the stability of the system, we aim to establish a model to describe, analyze, and predict the behavior of the system.

Model Equations and Derivation


In order to study the system dynamics and to achieve a better simulation result, we consider every part of the switch by setting the strength of every part as a parameter, which constituted a system of nonlinear ordinary differential equations (ODEs).

Based on mass action kinetics (Phillips, 2013) , a model of genetic circuits, which considered transcription and translation, is constructed. By so doing can we derive the basic equations that describe the change of mRNA and proteins over time:

Variables:

$$ \quad x = PhlF \quad $$ $$ \quad y = LacI \quad $$ $$ \quad z = TetR \quad $$

Prediction Model

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Stability Analysis

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