Before revision:  We also illustrate how the reduced representation can be used to fit data; in particular, the length of the cascade appears as a real-valued parameter and can thus be fitted in the same manner as Hill coefficients.
After revision:  We also illustrate how the reduced representation can be used both to represent cascades in computational models of differential equations and to fit data efficiently, by reducing the number of equations and parameters involved. In particular, the length of the cascade appears as a real-valued parameter and can thus be fitted in the same manner as Hill coefficients.