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

The dimensionless equations for the dynamics of the band-generating system then read

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

Analytical Solution

References