Abstract
Cell-fate induction is a very important concept in developmental biology, which involves an intrinsic irreversibility in the developmental process. In order to explore how cell-fate induction will be influenced by environmental noise, the effects of the time-correlated noises on the saddle-node landscape of cell-fate induction are investigated in this study. The main results show clearly that if the correlation time is not zero, then the time-correlated noises may not only lead to the change (or disappearance) of saddle-node bifurcation of cell-fate induction but also lead to the occurrence of the reentrance phenomena. All of these results provide a theoretical possibility that the time-correlated noise could lead to the abnormality of a saddle-node landscape of cell-fate induction.
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