On Nonlinear Dynamics of the STAT5a Signaling Protein

On Nonlinear Dynamics of the STAT5a Signaling Protein

In this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations. The considered system  of four ordinary differential equations is reduced to one ordinary differential equation, representing dynamics of the p...

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Main Authors: Elena Nikolova, Ivan Jordanov, Nikolay K. Vitanov
Format: Article
Language:English
Published: Biomath Forum 2014-06-01
Series:Biomath
Online Access:http://www.biomathforum.org/biomath/index.php/biomath/article/view/191
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spelling doaj-113e0e9ed18846609cc3826fb962c5412020-11-24T21:17:48ZengBiomath ForumBiomath1314-684X1314-72182014-06-013110.11145/j.biomath.2014.04.131232On Nonlinear Dynamics of the STAT5a Signaling ProteinElena Nikolova0Ivan Jordanov1Nikolay K. Vitanov2Institute of Mechanics, Bulgarian Academy of Sciences, Sofia, BulgariaInstitute of Mechanics, Bulgarian Academy of SciencesInstitute of Mechanics, Bulgarian Academy of SciencesIn this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations. The considered system  of four ordinary differential equations is reduced to one ordinary differential equation, representing dynamics of the phosphorylated STAT5a signaling protein. We show that the diffusion together with the corresponding biochemical reactions is likely to play a critical role in governing the dynamical behavior of the considered signaling protein.  By the modified method of simplest equation to the described reaction-diffusion equation we obtain an analytical solution which explains drop and jump propagation of the STAT5a protein concentration.http://www.biomathforum.org/biomath/index.php/biomath/article/view/191
collection DOAJ
language English
format Article
sources DOAJ
author Elena Nikolova
Ivan Jordanov
Nikolay K. Vitanov
spellingShingle Elena Nikolova
Ivan Jordanov
Nikolay K. Vitanov
On Nonlinear Dynamics of the STAT5a Signaling Protein
Biomath
author_facet Elena Nikolova
Ivan Jordanov
Nikolay K. Vitanov
author_sort Elena Nikolova
title On Nonlinear Dynamics of the STAT5a Signaling Protein
title_short On Nonlinear Dynamics of the STAT5a Signaling Protein
title_full On Nonlinear Dynamics of the STAT5a Signaling Protein
title_fullStr On Nonlinear Dynamics of the STAT5a Signaling Protein
title_full_unstemmed On Nonlinear Dynamics of the STAT5a Signaling Protein
title_sort on nonlinear dynamics of the stat5a signaling protein
publisher Biomath Forum
series Biomath
issn 1314-684X
1314-7218
publishDate 2014-06-01
description In this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations. The considered system  of four ordinary differential equations is reduced to one ordinary differential equation, representing dynamics of the phosphorylated STAT5a signaling protein. We show that the diffusion together with the corresponding biochemical reactions is likely to play a critical role in governing the dynamical behavior of the considered signaling protein.  By the modified method of simplest equation to the described reaction-diffusion equation we obtain an analytical solution which explains drop and jump propagation of the STAT5a protein concentration.
url http://www.biomathforum.org/biomath/index.php/biomath/article/view/191
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AT ivanjordanov onnonlineardynamicsofthestat5asignalingprotein
AT nikolaykvitanov onnonlineardynamicsofthestat5asignalingprotein
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