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Team:UCSF/Modeling
From 2008.igem.org
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| - | |width=550 align=center|Figure 1: | + | |width=550 align=center|Figure 1: Bistable region as gamma changes |
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| + | As you can see in Figure 1, the region of bistability expands as one of the cooperativity constants (gamma, in this case) is increased. This shows that even if only one leg of our toggle switch has high cooperativity (and ideally, very high cooperativity), then there is a large region of parameter space where we can get bistable or toggling behavior. | ||
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| + | '''Toggle Switch 2.0: Extending the Gardner Model''' | ||
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| + | The model by Gardner, et al was a really useful starting point for modeling a toggle switch, but since our switch is built using heterochromatin, we | ||
'''Heterochromatin Formation Like Polymerization?''' | '''Heterochromatin Formation Like Polymerization?''' | ||
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| + | The next question we asked was how does heterochromatin achieve such a high cooperativity? Traditionally, it's thought that the high cooperativity is due to the spreading of heterochromatin from an initiation site. To us, this sounds awfully similar to the process of nucleation and polymerization. | ||
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Revision as of 02:05, 24 October 2008
As we mentioned before, memory is a necessary aspect of gene regulation when the cell state established after a transient stimuli needs to be remembered for longer times. One way to establish memory is using two repressor proteins that control the synthesis of each other, i.e. a "toggle" switch. So for the modeling portion of our iGEM project, we decided to focus on coming up with an intuitive model for a heterochromatin-based toggle switch that will allow us to show some of the advantages of using heterochromatin in building synthetic circuits.
Starting Simple: Using the Gardner-Collins Toggle Switch Model
Previous work by the Collins group (Gardner, et al. Nature 2000) has shown that in a transcription-based circuit, at least one of the repressors needs to cooperatively repress transcription to achieve the bistability necessary for the formation of a toggle switch. In addition, the cooperativity needs to be much greater than 1 for a robust system, i.e. one that will generate a wide bistable region in the parameter space that is composed of different values for the two promoter strengths. Since heterochromatin formation, by nature, is a highly cooperative phenomenon, we plan to exploit this property as a tool for building our toggle switch.
Since only one "leg" of our toggle switch would be regulated by heterochromatin and be highly cooperative, we first wanted to check how the system would behave with only one high cooperativity constant (and with the other constant set to 1). For this, we simply implemented the Gardner model in Matlab and plotted the resulting bistable regions:
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| Figure 1: Bistable region as gamma changes |
As you can see in Figure 1, the region of bistability expands as one of the cooperativity constants (gamma, in this case) is increased. This shows that even if only one leg of our toggle switch has high cooperativity (and ideally, very high cooperativity), then there is a large region of parameter space where we can get bistable or toggling behavior.
Toggle Switch 2.0: Extending the Gardner Model
The model by Gardner, et al was a really useful starting point for modeling a toggle switch, but since our switch is built using heterochromatin, we
Heterochromatin Formation Like Polymerization?
The next question we asked was how does heterochromatin achieve such a high cooperativity? Traditionally, it's thought that the high cooperativity is due to the spreading of heterochromatin from an initiation site. To us, this sounds awfully similar to the process of nucleation and polymerization.
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