Saddle-node bifurcation and its robustness analysis: A mechanism for inducing pluripotency in stem cell

Masaki Inoue, Jun Ichi Imura, Takayuki Arai, Kenji Kashima, Kazuyuki Aihara

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we study saddle-node bifurcation and its robustness analysis for a class of nonlinear systems with dynamic uncertainties. First, we formulate a robust bifurcation analysis problem of evaluating the region that contains all potential bifurcation points on which an equilibrium appears, disappears, or loses hyperbolicity depending on uncertainties. Next, we propose an existence condition of multiple equilibria and evaluation of their location. Then, we derive a condition for robust hyperbolicity of a set of potential equilibrium points, and identify the region that contains all potential bifurcation points. The proposed analysis method is applied to robustness analysis of a genetic network model representing a mechanism for generating induced pluripotent stem cells (iPS cells). We find that saddle-node bifurcation occurs in the iPS model. Then, by the proposed robustness analysis, we further show that the bifurcation is so robust that it plays an essential role for inducing pluripotency in actual iPS cells.

Original languageEnglish
Article number7040324
Pages (from-to)5973-5978
Number of pages6
JournalUnknown Journal
Volume2015-February
Issue numberFebruary
DOIs
Publication statusPublished - 2014

Fingerprint

Induced Pluripotent Stem Cells
Robustness Analysis
Saddle-node Bifurcation
Stem Cells
Stem cells
Uncertainty
Hyperbolicity
Bifurcation Point
Genetic Models
Multiple Equilibria
Nonlinear systems
Genetic Network
Bifurcation Analysis
Equilibrium Point
Network Model
uncertainty
Bifurcation
Nonlinear Systems
Evaluation
Node

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Saddle-node bifurcation and its robustness analysis : A mechanism for inducing pluripotency in stem cell. / Inoue, Masaki; Imura, Jun Ichi; Arai, Takayuki; Kashima, Kenji; Aihara, Kazuyuki.

In: Unknown Journal, Vol. 2015-February, No. February, 7040324, 2014, p. 5973-5978.

Research output: Contribution to journalArticle

Inoue, M, Imura, JI, Arai, T, Kashima, K & Aihara, K 2014, 'Saddle-node bifurcation and its robustness analysis: A mechanism for inducing pluripotency in stem cell', Unknown Journal, vol. 2015-February, no. February, 7040324, pp. 5973-5978. https://doi.org/10.1109/CDC.2014.7040324
Inoue, Masaki ; Imura, Jun Ichi ; Arai, Takayuki ; Kashima, Kenji ; Aihara, Kazuyuki. / Saddle-node bifurcation and its robustness analysis : A mechanism for inducing pluripotency in stem cell. In: Unknown Journal. 2014 ; Vol. 2015-February, No. February. pp. 5973-5978.
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