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Team:UT Dallas/immunobot modeling
From 2011.igem.org
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In this module, the ligand signal activates the ToxR receptor into a dimerized complex formed with the ligand, which is the active state of the receptor. The biochemical reaction can be illustrated as: <br> | In this module, the ligand signal activates the ToxR receptor into a dimerized complex formed with the ligand, which is the active state of the receptor. The biochemical reaction can be illustrated as: <br> | ||
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| - | <img hight='30' src="https://static.igem.org/mediawiki/2011/ | + | <img hight='30' src="https://static.igem.org/mediawiki/2011/c/c4/Equation1.png"><br> |
</center> | </center> | ||
where L, R, C and C2 represent the concentration of external ligand, free receptor, recptor-ligand complex, and the dimerized receptor-ligand complex. The first reaction represents the binding/unbinding between the free receptor and the ligand. The second reaction represents the dimerization /undimerization conversions between C and C2. The conservation of the total concentration of the receptor can be written as: | where L, R, C and C2 represent the concentration of external ligand, free receptor, recptor-ligand complex, and the dimerized receptor-ligand complex. The first reaction represents the binding/unbinding between the free receptor and the ligand. The second reaction represents the dimerization /undimerization conversions between C and C2. The conservation of the total concentration of the receptor can be written as: | ||
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| - | + | <center> | |
| + | <img hight='30' src="https://static.igem.org/mediawiki/2011/e/ea/Equation2.png"><br> | ||
| + | </center> | ||
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Revision as of 23:58, 28 September 2011
Model and simulation
The signaling network from the input of external ligand signal to the output of the tumbling state of a E coli cell can be quantitatively described by a modular model. The model is formulated based on the law of mass action and Michaelis-Menten mechanism and contains four relatively independent modules that are explained in detail below.Module 1: Activation of ToxR receptor
In this module, the ligand signal activates the ToxR receptor into a dimerized complex formed with the ligand, which is the active state of the receptor. The biochemical reaction can be illustrated as:
