Team:Colombia/Deterministic

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Finding the mean behaviour of the system...
Finding the mean behaviour of the system...
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Las ecuaciones diferenciales ordinarias permiten describir cuantitativamente sistemas a nivel molecular y celular. Teniendo en cuenta la ley de acción de masas es posible modelar la mayoría de redes metabólicas celulares expresando el cambio de las concentraciones de los elementos del sistema a través del tiempo. 
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The first step is to develop a deterministic model based in differential equations. With the ordinary differential equations we can describe quantitatively the system at molecular level. Using the law of mass action is possible to model most of the metabolic ne
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This type of equations are deterministic because they describe the behavior for each of the substances in the synthetic circuit over time. However, they do not take into account the probabilities involved in each of the events described, the population interactions and the noise of the system. All of these equations are based on the law of mass conservation:
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Mass balance1.png
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In a biological system, the accumulation stands for the concentration changes over time, the input and output are related with the processes of export and import of a molecule into the cell, the generation is related to the production by a gene or a chemical reaction, and the consumption is related to chemicals reactions too. All these terms depend on reaction kinetics that could be expressed as a simple multiplication or a complex expression like a Hill equation.
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Revision as of 20:16, 25 September 2014

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Deterministic model

Finding the mean behaviour of the system...


Las ecuaciones diferenciales ordinarias permiten describir cuantitativamente sistemas a nivel molecular y celular. Teniendo en cuenta la ley de acción de masas es posible modelar la mayoría de redes metabólicas celulares expresando el cambio de las concentraciones de los elementos del sistema a través del tiempo.

The first step is to develop a deterministic model based in differential equations. With the ordinary differential equations we can describe quantitatively the system at molecular level. Using the law of mass action is possible to model most of the metabolic ne


This type of equations are deterministic because they describe the behavior for each of the substances in the synthetic circuit over time. However, they do not take into account the probabilities involved in each of the events described, the population interactions and the noise of the system. All of these equations are based on the law of mass conservation: Mass balance1.png In a biological system, the accumulation stands for the concentration changes over time, the input and output are related with the processes of export and import of a molecule into the cell, the generation is related to the production by a gene or a chemical reaction, and the consumption is related to chemicals reactions too. All these terms depend on reaction kinetics that could be expressed as a simple multiplication or a complex expression like a Hill equation.


Signal transduction →

The receptor CqsS acts as a kinase when there is no auto inducer (CAI). It phosphorylates LuxU, which transfers its phosphate to LuxO. And in our case LuxO phosphorylated activates Pqrr promoter.

Once the inducer is in the media the receptor changes to a phosphase (CqsSp) mode and the flow is reversed. LuxU is unphosphorylated and it removes the phosphate from LuxO. In consequence Pqrr promoter is repressed.