Team:ETH Zurich/Modeling/Analytical Approximation
From 2011.igem.org
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= GFP Band: Dimensionless Model = | = GFP Band: Dimensionless Model = | ||
== 1. Dimensionless Species == | == 1. Dimensionless Species == | ||
- | [[File:ETHZ-Dimensionless-Species.png|120px| | + | We nondimensionalized all species occurring in the equations for the GFP band circuit. |
+ | [[File:ETHZ-Dimensionless-Species.png|120px|center]] | ||
<br clear="all" /> | <br clear="all" /> | ||
== 2. Dimensionless Equations == | == 2. Dimensionless Equations == | ||
- | + | [[File:ETHZ-Dimensionless-Band.png|716px|center]] | |
== 3. Steady State == | == 3. Steady State == | ||
Revision as of 15:04, 27 October 2011
Analytical Approximation
GFP Band: Dimensionless Model
1. Dimensionless Species
We nondimensionalized all species occurring in the equations for the GFP band circuit.
2. Dimensionless Equations
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