Consider Section 24.3.3, where the dynamic properties of a signal transduction were analyzed. Two properties of inter

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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:

y(t)dt T Тaи t=0 T dur sig УOdt t=0

where Tsig 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:
y(t)dt A = 27 dur

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

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Process Dynamics and Control

ISBN: 978-1119385561

4th edition

Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle

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