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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2014-06-01
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| Series: | Biomath |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/191 |
| _version_ | 1797757508769546240 |
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| author | Elena Nikolova Ivan Jordanov Nikolay K. Vitanov |
| author_facet | Elena Nikolova Ivan Jordanov Nikolay K. Vitanov |
| author_sort | Elena Nikolova |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-12T18:16:50Z |
| format | Article |
| id | doaj.art-113e0e9ed18846609cc3826fb962c541 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T18:16:50Z |
| publishDate | 2014-06-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-113e0e9ed18846609cc3826fb962c5412023-08-02T09:05:40ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182014-06-013110.11145/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 |
| spellingShingle | Elena Nikolova Ivan Jordanov Nikolay K. Vitanov On Nonlinear Dynamics of the STAT5a Signaling Protein Biomath |
| title | 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_short | On Nonlinear Dynamics of the STAT5a Signaling Protein |
| title_sort | on nonlinear dynamics of the stat5a signaling protein |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/191 |
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