Team:Wageningen UR/Project/ModelingProj1
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{{:Team:Wageningen_UR/Templates/Style | text= __NOTOC__ | {{:Team:Wageningen_UR/Templates/Style | text= __NOTOC__ | ||
- | === Short repetition of the Hasty construct used as base for our system === | + | === 1. Short repetition of the Hasty construct used as base for our system === |
For a better understanding of the equations which were used for the modeling of the system, figure 1 shows a short repetition of the circuit published by Danino et al. in the paper [http://www.nature.com/nature/journal/v463/n7279/abs/nature08753.html “A synchronized quorum of genetic clocks”], in our team commonly referred to as the "Hasty construct", which was used as a base for our design. | For a better understanding of the equations which were used for the modeling of the system, figure 1 shows a short repetition of the circuit published by Danino et al. in the paper [http://www.nature.com/nature/journal/v463/n7279/abs/nature08753.html “A synchronized quorum of genetic clocks”], in our team commonly referred to as the "Hasty construct", which was used as a base for our design. | ||
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- | === Mathematical model of the construct === | + | === 2. Mathematical model of the construct === |
Since our bio bricked oscillatory system is based on the design seen above, our first model of the system is a reproduction of the mathematical model in the [http://www.nature.com/nature/journal/v463/n7279/suppinfo/nature08753.html supplementary information] accompanying the publication mentioned. In their simulations, Danino et al. used the following set of delay differential equations, which we also used for our modeling tool written in matlab. }} | Since our bio bricked oscillatory system is based on the design seen above, our first model of the system is a reproduction of the mathematical model in the [http://www.nature.com/nature/journal/v463/n7279/suppinfo/nature08753.html supplementary information] accompanying the publication mentioned. In their simulations, Danino et al. used the following set of delay differential equations, which we also used for our modeling tool written in matlab. }} | ||
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+ | === 3. Conclusions for our system === | ||
The first observation from the model was that, for oscillations to occur, the flow rates may not be too fast, especially at lower cell densities. Since the device used for our system has larger dimensions than the microfluidic device used by Danino et al. the flow rates in the velocities required couldn't be achieved by varying height differences alone. Further information can be found in the information about the [[Team:Wageningen_UR/Project/Devices| devices.]] | The first observation from the model was that, for oscillations to occur, the flow rates may not be too fast, especially at lower cell densities. Since the device used for our system has larger dimensions than the microfluidic device used by Danino et al. the flow rates in the velocities required couldn't be achieved by varying height differences alone. Further information can be found in the information about the [[Team:Wageningen_UR/Project/Devices| devices.]] |
Revision as of 17:08, 18 September 2011