Team:UT Dallas/immunobot modeling
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+ | <h2>Model and simulation</h2> | ||
+ | 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. <br><br> | ||
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+ | Module 1: Activation of ToxR receptor<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> | ||
+ | <img src="https://static.igem.org/mediawiki/2011/6/60/Eq1.png"><br> | ||
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+ | 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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Revision as of 23:52, 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:
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: