Team:ETH Zurich/Modeling/Analytical Approximation

From 2011.igem.org

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(Gradient Approximation)
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== 3. Steady State ==
== 3. Steady State ==
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[[File:ETHZ-Dimensionless-Band-SteadyState.png|407px|center]]
== 4. Dimensionless Groupings ==
== 4. Dimensionless Groupings ==

Revision as of 15:30, 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

ETHZ-Dimensionless-Band-SteadyState.png

4. Dimensionless Groupings

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


Gradient Approximation

Kolmogorov-Petrovsky-Piskounov Equation

Dead Zone Concept

Analytical Solution


References


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