Team:ETH Zurich/Modeling/InitialStates

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<p align = ''justify''> Three molecules of interest are produced by mine cells: NagZ, LuxI and OHHL. The first two are constitutively produced, whereas the synthesis of OHHL is dependent of LuxI protein. In all three cases, degradation is modelled as linear degradation. Furthermore, the diffusion of OHHL across the cell membrane is modelled as proposed by [https://2013.igem.org/Team:ETH_Zurich/References#Garcia2004 Garcia-Ojalvo ''et. al.'', 2004.]
<p align = ''justify''> Three molecules of interest are produced by mine cells: NagZ, LuxI and OHHL. The first two are constitutively produced, whereas the synthesis of OHHL is dependent of LuxI protein. In all three cases, degradation is modelled as linear degradation. Furthermore, the diffusion of OHHL across the cell membrane is modelled as proposed by [https://2013.igem.org/Team:ETH_Zurich/References#Garcia2004 Garcia-Ojalvo ''et. al.'', 2004.]
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The ODEs for the states involved in the second module of the system are given below:  
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The ODEs for the states involved in the second module of the system are given below: <br>
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[[File:Single Cell ss.png|500px|center|thumb|<b>Equation system 1: </b> System of Differential equations for Mine Cells.]]
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[[File:Single Cell ss.png|500px|center|thumb|<b>Equation system 1: </b> System of Differential equations for Mine Cells.]] <br>
[[File:InitialConMine.png|800px|center|thumb|<b>Figure 1:</b> Steady state concentrations for Mine Cells]]
[[File:InitialConMine.png|800px|center|thumb|<b>Figure 1:</b> Steady state concentrations for Mine Cells]]
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Revision as of 15:39, 4 October 2013

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INITIAL STATES

Is important to obtain the steady state concentration of some of the species in our circuit, since these values can be used as biologically meaningful initial conditions for subsequent simulations. When cells are placed on the agar plate, they come from an overnight liquid culture, thus we are assuming that the cells have reached the steady state. Should be noted that when the receiver cells grow, there is not OHHL in the medium and this affects the concentrations of intracellular species whose production depends on it.

Initial state for the Mine Cells

Three molecules of interest are produced by mine cells: NagZ, LuxI and OHHL. The first two are constitutively produced, whereas the synthesis of OHHL is dependent of LuxI protein. In all three cases, degradation is modelled as linear degradation. Furthermore, the diffusion of OHHL across the cell membrane is modelled as proposed by Garcia-Ojalvo et. al., 2004. The ODEs for the states involved in the second module of the system are given below:

Equation system 1: System of Differential equations for Mine Cells.

Figure 1: Steady state concentrations for Mine Cells


Initial state for the Receiver Cells

Figure 2: Steady state concentrations for Receiver Cells.
Figure 3: Steady state concentrations for Receiver Cells