English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Mathematics of the NFAT signalling pathway

Rendall, A. D. (2012). Mathematics of the NFAT signalling pathway. SIAM journal on applied dynamical systems, 11(3), 988-1006. doi:10.1137/120866488.

Item is

Files

show Files
hide Files
:
1201.1094 (Preprint), 217KB
Name:
1201.1094
Description:
File downloaded from arXiv at 2012-01-26 11:29
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Rendall, Alan D.1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: Quantitative Biology, Molecular Networks, q-bio.MN,Mathematics, Dynamical Systems, math.DS
 Abstract: This paper is a mathematical study of some aspects of the signalling pathway leading to the activation of the transcription factor NFAT (nuclear factor of activated T cells). Activation takes place by dephosphorylation at multiple sites. This has been modelled by Salazar and H\"ofer using a large system of ordinary differential equations depending on many parameters. With the help of chemical reaction network theory we show that for any choice of the parameters this system has a unique stationary solution for each value of the conserved quantity given by the total amount of NFAT and that all solutions converge to this stationary solution at late times. The dephosphorylation is carried out by calcineurin, which in turn is activated by a rise in calcium concentration. We study the way in which the dynamics of the calcium concentration influences NFAT activation, an issue also considered by Salazar and H\"ofer with the help of a model arising from work of Somogyi and Stucki. Criteria are obtained for convergence to equilibrium of solutions of the model for the calcium concentration.

Details

show
hide
Language(s):
 Dates: 2012-01-0520122012
 Publication Status: Issued
 Pages: 21 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1201.1094
DOI: 10.1137/120866488
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: SIAM journal on applied dynamical systems
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Philadelphia, PA : Society of Industrial and Applied Mathematics
Pages: - Volume / Issue: 11 (3) Sequence Number: - Start / End Page: 988 - 1006 Identifier: ISSN: 1536-0040
CoNE: https://pure.mpg.de/cone/journals/resource/111027698973008