Robust hyperbolicity of multiple equilibria and analysis of the cellular reprogramming process

Hikaru Ikuta, Masaki Inoue, Jun Ichi Imura, Shuichi Adachi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


We propose a hyperbolicity analysis method for multiple equilibria of a nonlinear system with dynamic uncertainties. Since dynamic uncertainties alter the location and even the existence of equilibria, it is difficult to evaluate the hyperbolicity of equilibria for such a system. In this paper, we provide an analysis method to determine whether all equilibria robustly maintain their hyperbolicity under the existence of a norm-bounded class of dynamic uncertainties. The displacement of the equilibria is considered explicitly to evaluate the hyperbolicity. Finally, the proposed method is applied to a genetic network model of induced pluripotent stem cells (iPSCs), to explain how one reprogramming mechanism of iPSCs is robust against various uncertainties. Hyperbolicity of multiple equilibria plays a crucial role in the reprogramming mechanism.

Original languageEnglish
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9783952426937
Publication statusPublished - 2015 Nov 16
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: 2015 Jul 152015 Jul 17

Publication series

Name2015 European Control Conference, ECC 2015


OtherEuropean Control Conference, ECC 2015

ASJC Scopus subject areas

  • Control and Systems Engineering


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