Abstract
Abstract—MAPK and PI3K−Akt−mTOR signaling cascades regulate important cellular processes. There was developed the mathematical model that was used for the analysis of the interactions within these cascades. Stability analysis of the PI3K–Ak–mTOR signaling pathway model showed that the baseline state of the signaling pathway is metastable and signal transduction can be activated by overcritical exogenous stimulation. An explicit expression was obtained for the threshold level of external stimuli. It was shown that triggering events in the dynamics of the signaling pathway are described by the fold catastrophe of the elementary catastrophe theory. A discussion about whether the results obtained are significant for molecular hematology and hemostaseology is presented.
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