Team:ETH Zurich/Modeling/Analytical Approximation

From 2011.igem.org

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(GFP Band: Dimensionless Model)
(GFP Band: Dimensionless Model)
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= GFP Band: Dimensionless Model =
= GFP Band: Dimensionless Model =
== 1. Dimensionless Species ==
== 1. Dimensionless Species ==
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[[File:ETHZ-Dimensionless-Species.png|120px|left]] We nondimensionalized all species occurring in the equations for the GFP band circuit.
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We nondimensionalized all species occurring in the equations for the GFP band circuit.
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[[File:ETHZ-Dimensionless-Species.png|120px|center]]  
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== 2. Dimensionless Equations ==
== 2. Dimensionless Equations ==
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[[File:ETHZ-Dimensionless-Band.png|716px|center]]
== 3. Steady State ==
== 3. Steady State ==

Revision as of 15:04, 27 October 2011

Can you feel the smoke tonight?
 

Contents

Analytical Approximation


GFP Band: Dimensionless Model

1. Dimensionless Species

We nondimensionalized all species occurring in the equations for the GFP band circuit.

ETHZ-Dimensionless-Species.png


2. Dimensionless Equations

ETHZ-Dimensionless-Band.png

3. Steady State

4. Dimensionless Groupings

The equation system can be simplified by introducing the following dimensionless groupings:


Gradient Approximation

Kolmogorov-Petrovsky-Piskounov Equation

Dead Zone Concept


References


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