Team:ETH Zurich/Modeling/Analytical Approximation

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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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