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)

Abstract

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.
Pages2871-2877
Number of pages7
ISBN (Print)9783952426937
DOIs
Publication statusPublished - 2015 Nov 16
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: 2015 Jul 152015 Jul 17

Other

OtherEuropean Control Conference, ECC 2015
CountryAustria
CityLinz
Period15/7/1515/7/17

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Ikuta, H., Inoue, M., Imura, J. I., & Adachi, S. (2015). Robust hyperbolicity of multiple equilibria and analysis of the cellular reprogramming process. In 2015 European Control Conference, ECC 2015 (pp. 2871-2877). [7330973] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2015.7330973