Numerical approach to fast reactions in reaction-diffusion systems: Application to buffered calcium waves in bistable models

DOI10.1006/jcph.2000.6532zbMath0953.92014OpenAlexW2518419123MaRDI QIDQ1577032

James C. Schaff, Boris M. Slepchenko, Yung-Sze Choi

Publication date: 31 January 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6532

zbMATH Keywords

cell modelbistabilitycalcium wavesfast calcium bufferingLi-Rinzel modelpseudo-steady approximation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Are buffers boring? Uniqueness and asymptotical stability of traveling wave fronts in the buffered bistable system, A conservative algorithm for parabolic problems in domains with moving boundaries, Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions, Traveling curved fronts in the buffered bistable systems in \(\mathbb{R}^2\), An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation, The asymptotic behavior of solutions of the buffered bistable system, Do calcium buffers always slow down the propagation of calcium waves?, Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations, Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology, Traveling waves in the discrete fast buffered bistable system, Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data, A compact fourth-order \(L\)-stable scheme for reaction-diffusion systems with nonsmooth data, Combined finite volume element method for singularly perturbed reaction-diffusion problems, Simulation of waves in calcium models with 3D spherical geometry

Cites Work

• Mathematical physiology
• EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
• Traveling Waves in Buffered Systems: Applications to Calcium Waves
• Unnamed Item
• Unnamed Item
• Unnamed Item