Open Access
2013 Well-Posedness of a Linear Spatio-Temporal Model of the JAK2/STAT5 Signaling Pathway
E. Friedmann, R. Neumann, R. Rannacher
Commun. Math. Anal. 15(2): 76-102 (2013).


Cellular geometries can vary significantly, how they influence signaling remains largely unknown. In this article, we describe a new model of the most extensively studied signal transduction pathways, the Janus kinase (JAK)/signal transducer and activator of transcription (STAT) pathway based on a mixed system of linear differential equations (PDEs + ODEs) coupled by Robin boundary conditions. This model was introduced to analyze the influence of the cell shape on the regulatory response to the activated pathway. In this article, we present an analysis of the wellposedness of the resulting system, i.e., the existence of a unique solution, its nonnegativity, boundedness and Lyapunov stability. As byproduct, we show the well-posedness and convergence of a suitable discretization of this model providing the basis for its reliable numerical simulation.


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E. Friedmann. R. Neumann. R. Rannacher. "Well-Posedness of a Linear Spatio-Temporal Model of the JAK2/STAT5 Signaling Pathway." Commun. Math. Anal. 15 (2) 76 - 102, 2013.


Published: 2013
First available in Project Euclid: 9 August 2013

zbMATH: 1277.35210
MathSciNet: MR3093582

Primary: 35K57 , 65M06 , 65M12 , 92C37 , 92C40

Keywords: cell biology , mixed PDE-ODE systems , reaction-diffusion problems , signal transduction , wellposedness

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.15 • No. 2 • 2013
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