Calcium waves with fast buffers and mechanical effects

DOI10.1007/S00285-009-0323-2zbMath1232.92044OpenAlexW2027692305WikidataQ51726821 ScholiaQ51726821MaRDI QIDQ663118

Bogdan Kaźmierczak, Zbigniew Peradzynski

Publication date: 14 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-009-0323-2

zbMATH Keywords

Reaction-diffusion systemsMechanochemical coupling

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Cell biology (92C37) Traveling wave solutions (35C07)

Related Items (5)

Effect of buffers with multiple binding sites on calcium waves ⋮ Highly nonlinear large-competition limits of elliptic systems ⋮ What is required for neuronal calcium waves? A numerical parameter study ⋮ Traveling waves in quadratic autocatalytic systems with complexing agent ⋮ Speed of traveling waves for monotone reaction-diffusion systems as a function of diffusion coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Travelling waves for reaction-diffusion-convection systems
• Mathematical physiology
• Existence of heteroclinic orbits for systems satisfying monotonicity conditions.
• The asymptotic behavior of solutions of the buffered bistable system
• Traveling Waves in Buffered Systems: Applications to Calcium Waves
• Propagation of frontal polymerization—crystallization waves
• Heteroclinic Solutions for a System of Strongly Coupled ODEs
• Calcium waves in systems with immobile buffers as a limit of waves for systems with nonzero diffusion
• Existence and Stability of Traveling Waves in Buffered Systems
• Existence of travelling wave solutions for reaction-diffusion-convection systems via the Conley index theory

This page was built for publication: Calcium waves with fast buffers and mechanical effects