Well-posedness of a linear spatio-temporal model of the JAK2/STAT5 signaling pathway

zbMath1277.35210MaRDI QIDQ380641

Mohammad Hasan, H. S. Yoon

Publication date: 14 November 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1376053392

zbMATH Keywords

Robin boundary conditionswellposednesssignal transductioninfluence of the cell shapemixed PDE-ODE systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Cell biology (92C37)

Related Items (6)

Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition ⋮ Intracellular protein dynamics as a mathematical problem ⋮ Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling ⋮ Extension of modified Patankar-Runge-Kutta schemes to nonautonomous production-destruction systems based on Oliver's approach ⋮ Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system ⋮ Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology

Uses Software

• ANSYS
• GASCOIGNE

Cites Work

• Spatial aspects in the SMAD signaling pathway
• MODELING THE NONLINEAR DYNAMICS OF CELLULAR SIGNAL TRANSDUCTION
• Approximation of Solutions of Mixed Boundary Value Problems for Poisson's Equation by Finite Differences
• The Numerical Solution of Laplace's Equation
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