Publication:
The dynamics of a nonlinear model of signal transduction in human under impulsive depressant drug treatment

Issued Date

2010-09-01

Resource Type

Article

ISSN

10562176

Other identifier(s)

2-s2.0-78650400915

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Dynamic Systems and Applications. Vol.19, No.3-4 (2010), 651-666

Suggested Citation

C. Rattanakul, Y. Lenbury, J. Kongson, W. Triampo The dynamics of a nonlinear model of signal transduction in human under impulsive depressant drug treatment. Dynamic Systems and Applications. Vol.19, No.3-4 (2010), 651-666. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29326

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Title

The dynamics of a nonlinear model of signal transduction in human under impulsive depressant drug treatment

Author(s)

C. Rattanakul
 Y. Lenbury
 J. Kongson
 W. Triampo

Other Contributor(s)

Mahidol University
 PERDO Commission on Higher Education

Abstract

A mathematical model of the signal transduction process, involving hormone coupled receptors and an inhibiting enzyme, under impulsive depressant treatment, is proposed and analyzed. We show that there is a stable periodic solution, at the vanishing density of the ligand bound receptors on the cell membrane and plasmalemma, when the impulsive period is less than some critical value. The conditions for permanence of the system are then given. Finally, it is shown that as the impulsive period increases beyond a certain critical value, the emergence of stable positive periodic solution may be observed under appropriate conditions on the system parameters. © Dynamic Publishers, Inc.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/29326

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Scopus 2006-2010