Dynamics of Notch activity in a model of interacting signaling pathways

DOI10.1007/s11538-009-9469-8zbMath1191.92014OpenAlexW2014036889WikidataQ43195947 ScholiaQ43195947MaRDI QIDQ977686

David E. Amundsen, Majid Bani-Yaghoub

Publication date: 23 June 2010

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-009-9469-8

zbMATH Keywords

reaction-diffusionsignaling pathwaysNotchTuring mechanism

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Systems biology, networks (92C42)

Related Items (2)

Existence and stability of stationary waves of a population model with strong Allee effect ⋮ Numerical simulations of traveling and stationary wave solutions arising from reaction-diffusion population models with delay and nonlocality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• Target patterns in reaction-diffusion systems
• Unravelling the Turing bifurcation using spatially varying diffusion coefficients
• Target patterns and spirals in planar reaction-diffusion systems
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Spherically symmetric internal layers for activator-inhibitor systems. I: Existence by a Lyapunov-Schmidt reduction
• On the nature of turbulence
• Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
• Travelling waves for delayed reaction–diffusion equations with global response
• On the Solution of Reaction—Diffusion Equations
• A FORMAL THEORY CONCERNING THE GENERATION AND PROPAGATION OF TRAVELLING WAVE-FRONTS IN REACTION-DIFFUSION EQUATIONS
• Plane Wave Solutions to Reaction-Diffusion Equations
• Bifurcation to Spiral Waves in Reaction-Diffusion Systems
• PARAMETER DOMAINS FOR GENERATING SPATIAL PATTERN: A COMPARISON OF REACTION–DIFFUSION AND CELL-CHEMOTAXIS MODELS
• Stability and Traveling Fronts in Lotka-Volterra Competition Models with Stage Structure
• The chemical basis of morphogenesis

This page was built for publication: Dynamics of Notch activity in a model of interacting signaling pathways