Signaling cascades transduce signals received on the cell membrane to the nucleus. While noise filtering, ultra-sensitive switches, and signal amplification have all been shown to be features of such signaling cascades, it is not understood why cascades typically show three or four layers. Using singular perturbation theory, Michaelis-Menten type equations are derived for open enzymatic systems. When these equations are organized into a cascade, it is demonstrated that the output signal as a function of time becomes sigmoidal with the addition of more layers.
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- Partial requirement for: Ph.D., Arizona State University, 2013Note typethesis
- Includes bibliographical references (p. 66-68)Note typebibliography
- Field of study: Applied mathematics