Consider the simplified version of the chemotaxis circuit in Fig. 24.10. (a) Derive the conditions for the
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(a) Derive the conditions for the process gain K that ensure that the receptor activity is always reset to zero and even for the case of a persistent ligand signal.
(b) Show that the closed-loop transfer function from the ligand to the receptor activity is equivalent to a first-order transfer function with numerator dynamics.
(c) Comment on the biological relevance of the result in part (b), particularly for a ligand signal that is ï¬uctuating.
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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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