Consider Section 24.3.3, where the dynamic properties of a signal transduction were analyzed. Two properties of inter est are the signal duration and the amplitude of the signal.

(a)

The following definition is used for signal duration:

where T_sig was defined in Section 24.3.3. Use Laplace transforms to derive an expression for the signal duration as a function of the parameters in the phosphorylation cascade.

(b) 

Define the signal amplitude as:

Use Laplace transforms to derive an expression for the signal amplitude as a function of the parameters in the phosphorylation cascade.

y(t)dt T a t=0 T dur sig Odt t=0 y(t)dt A = 27 dur