| Abstract | Cell signaling is achieved by reversible phosphorylation-dephosphorylation reaction cascades in proteins. A single reversible phosphorylation--dephosphorylation reaction model is given by Goldbeter and Koshland(GK) based on Michaelis--Menten kinetics. It is well known that the necessary condition for the bistability in the biological systems is positive feedback or double negative feedback,. In this work, a GK-type model is proposed to couple N reaction cycles through forward activation. Without additional feedback, a bistable-like behavior is observed when the cascade length N becomes large. Some detailed analysis on this model is provided. |
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