Stability analysis of SSN biochemical networks

Wei Su; Jinhu Lu; MacIej J. Ogorzalek

doi:10.1109/ISCAS.2011.5938156

Stability analysis of SSN biochemical networks

Wei Su^*
, Jinhu Lu
, MacIej J. Ogorzalek

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
Chinese Academy of Sciences
Royal Melbourne Institute of Technology University
Jagiellonian University in Kraków

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper further investigates the dynamical properties of a class of basic biochemical networks modules single substrate and single product with no inhibition (SSN) module. It is well known that the biological networks can be modelled by using different kinetics according to their reaction types. This paper introduces the SSN model under the law of mass action and proves that it can admit uniquely globally asymptotically stable positive equilibrium. Moreover, we prove that the SSN module under Hill kinetics can admit uniquely asymptotically stable positive equilibrium. It indicates some potential applications in the understanding of some biological networks modules and the design of some specific network controllers.

Original language	English
Title of host publication	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Pages	2677-2680
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2011.5938156
State	Published - 2011
Externally published	Yes
Event	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 - Rio de Janeiro, Brazil Duration: 15 May 2011 → 18 May 2011

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011
Country/Territory	Brazil
City	Rio de Janeiro
Period	15/05/11 → 18/05/11

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10.1109/ISCAS.2011.5938156

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title = "Stability analysis of SSN biochemical networks",

abstract = "This paper further investigates the dynamical properties of a class of basic biochemical networks modules single substrate and single product with no inhibition (SSN) module. It is well known that the biological networks can be modelled by using different kinetics according to their reaction types. This paper introduces the SSN model under the law of mass action and proves that it can admit uniquely globally asymptotically stable positive equilibrium. Moreover, we prove that the SSN module under Hill kinetics can admit uniquely asymptotically stable positive equilibrium. It indicates some potential applications in the understanding of some biological networks modules and the design of some specific network controllers.",

author = "Wei Su and Jinhu Lu and Ogorzalek, \{MacIej J.\}",

year = "2011",

doi = "10.1109/ISCAS.2011.5938156",

language = "英语",

isbn = "9781424494736",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

pages = "2677--2680",

booktitle = "2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011",

note = "2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011 ; Conference date: 15-05-2011 Through 18-05-2011",

}

Su, W, Lu, J & Ogorzalek, MJ 2011, Stability analysis of SSN biochemical networks. in 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011., 5938156, Proceedings - IEEE International Symposium on Circuits and Systems, pp. 2677-2680, 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011, Rio de Janeiro, Brazil, 15/05/11. https://doi.org/10.1109/ISCAS.2011.5938156

TY - GEN

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AU - Su, Wei

AU - Lu, Jinhu

AU - Ogorzalek, MacIej J.

PY - 2011

Y1 - 2011

N2 - This paper further investigates the dynamical properties of a class of basic biochemical networks modules single substrate and single product with no inhibition (SSN) module. It is well known that the biological networks can be modelled by using different kinetics according to their reaction types. This paper introduces the SSN model under the law of mass action and proves that it can admit uniquely globally asymptotically stable positive equilibrium. Moreover, we prove that the SSN module under Hill kinetics can admit uniquely asymptotically stable positive equilibrium. It indicates some potential applications in the understanding of some biological networks modules and the design of some specific network controllers.

AB - This paper further investigates the dynamical properties of a class of basic biochemical networks modules single substrate and single product with no inhibition (SSN) module. It is well known that the biological networks can be modelled by using different kinetics according to their reaction types. This paper introduces the SSN model under the law of mass action and proves that it can admit uniquely globally asymptotically stable positive equilibrium. Moreover, we prove that the SSN module under Hill kinetics can admit uniquely asymptotically stable positive equilibrium. It indicates some potential applications in the understanding of some biological networks modules and the design of some specific network controllers.

UR - https://www.scopus.com/pages/publications/79960862219

U2 - 10.1109/ISCAS.2011.5938156

DO - 10.1109/ISCAS.2011.5938156

M3 - 会议稿件

AN - SCOPUS:79960862219

SN - 9781424494736

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

SP - 2677

EP - 2680

BT - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

T2 - 2011 IEEE International Symposium of Circuits and Systems, ISCAS 2011

Y2 - 15 May 2011 through 18 May 2011

ER -

Stability analysis of SSN biochemical networks

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