Team:ETH Zurich/Modeling/Analytical Approximation
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== 1. Dimensionless Species == | == 1. Dimensionless Species == | ||
[[File:ETHZ-Dimensionless-Species.png|120px|left]] We nondimensionalized all species occurring in the equations for the GFP band circuit. | [[File:ETHZ-Dimensionless-Species.png|120px|left]] We nondimensionalized all species occurring in the equations for the GFP band circuit. | ||
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== 2. Dimensionless Equations == | == 2. Dimensionless Equations == | ||
Revision as of 14:06, 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. Dimensionless Groupings
The equation system can be simplified by introducing the following dimensionless groupings:
4. Final Equations
Gradient Approximation
Kolmogorov-Petrovsky-Piskounov Equation
Dead Zone Concept
References