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Team:NTU-Singapore/Modeling
From 2008.igem.org
Contents |
Introduction
The use of models to describe synthetic biology has its merits. Synthetic biology investigates the use of different biological parts to put together and assemble devices that carry out specific functions. Good mathematical models to describe each part would greatly help not only in the characterization of a part but also facilitate the use of the part by other people when they choose to use the part within their devices or systems.
Simulations based on modeling can give a first insight on how the system would turn out and provide a rough guide of the system’s behaviour.
System
The system can be viewed as two parts. The first part comprises of lactose induced production of colicin E7 and the immunity protein. The second part comprises of a detection mechanism that produces the lysis protein upon the detection of both Iron ions and Ai-2 ( Autoinducer 2).
ODEs used in modeling
The following equations shows the break down of the different equations that will be used in this modeling exercise. By understanding this section, it would make the understanding of the system of ODEs used
Constant synthesis & Linear Synthesis
- Simple ode to describe constant synthesis
- Gives an explicit analytical solution
- Unique solution once a IC is posed
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