Team:USTC CHINA/Modeling/ReporterSystem
From 2013.igem.org
(Difference between revisions)
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<h1>The ODE model of singular cells</h1> | <h1>The ODE model of singular cells</h1> | ||
There is no denying fact that the essential goal of engineered bacterias who carry this so called “suicide” locus itself is to kill their siblings rather than themselves to ensure the survival of themselves. Surly they can kill their siblings, but can they finally eliminate themselves, as we expects? The trivial experiment protocol and huge uncertainty had put off our experiment, and as expected, we failed to achieve the construction of complete reporter system in our laboratory. Fortunately, we could resort to mathematical models to verify the validity of this locus theoretically. | There is no denying fact that the essential goal of engineered bacterias who carry this so called “suicide” locus itself is to kill their siblings rather than themselves to ensure the survival of themselves. Surly they can kill their siblings, but can they finally eliminate themselves, as we expects? The trivial experiment protocol and huge uncertainty had put off our experiment, and as expected, we failed to achieve the construction of complete reporter system in our laboratory. Fortunately, we could resort to mathematical models to verify the validity of this locus theoretically. | ||
- | There are six independent variables in individual cells, and the theoretically if the initial conditions are fixed, all of them will be the univariate functions of time. The following table illustrates the mark and meaning of each variable | + | There are six independent variables in individual cells, and the theoretically if the initial conditions are fixed, all of them will be the univariate functions of time. The following table illustrates the mark and meaning of each variable:</br></br> |
+ | <table border="1"> | ||
+ | <tr> | ||
+ | <td >Name</td> | ||
+ | <td >Meaning</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >I<sub>max</sub> </td> | ||
+ | <td >The maximal number of SdpI than can be fixed on the cell membrane.</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k0</td> | ||
+ | <td >Constant describes the normal expression rate of SdpI</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>10</sub> </td> | ||
+ | <td >Constant describes the self-repression effects of SdpI</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>2</sub> </td> | ||
+ | <td >Constant describes the repression of SdpR on the expression of SdpC.</a></td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>4</sub> </td> | ||
+ | <td >Constant describes the rate of SdpI capturing SdpC</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>4</sub> </td> | ||
+ | <td >Constant describes the normal expression rate of SdpR</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>5</sub> </td> | ||
+ | <td >Constant describes the self-repression effects of SdpR</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>6</sub> </td> | ||
+ | <td >Constant describes the rate of SdpI capturing SdpR</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>7</sub> </td> | ||
+ | <td >Constant describes the normal expression rate of SdpI</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>8</sub> </td> | ||
+ | <td >Constant describes the self-repression effects of SdpI</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>9</sub> </td> | ||
+ | <td >Constant describes the repression of SdpR on the expression of SdpI</td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td >k<sub>10</sub> </td> | ||
+ | <td >Constant describes the rate of SdpI binding to the cell membrane</td> | ||
+ | </tr> | ||
+ | </table> | ||
+ | |||
Revision as of 16:51, 26 September 2013