Parallel numerical solution of intracellular calcium dynamics

Lecture Notes in Computational Science and Engineering

Volumn 60, Issue , 2008, Pages 607-614

  Nagaiah, Chamakuri ^a   Rüdiger, Sten ^b,c   Warnecke, Gerald ^a   Falcke, Martin ^b  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b HAHN MEITNER INSTITUT   (Germany)

^c HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITIONS; ENDOPLASMIC RETICULUM; IN-CELL; INTRACELLULAR CALCIUM; LENGTH SCALE; NATURAL BOUNDARY CONDITION; NONLINEAR REACTION; NUMERICAL APPROACHES; NUMERICAL SIMULATION; NUMERICAL SOLUTION; NUMERICAL TOOLS; PIECEWISE LINEAR; REACTION DIFFUSION EQUATIONS; RUNGE-KUTTA; SECOND MESSENGER; SOURCE TERMS; SPATIAL DISCRETIZATION; SPATIAL LOCALIZATION; TEMPORAL BEHAVIOR; TIME DISCRETIZATION;

CALCIUM; CALCIUM ALLOYS; DYNAMICS; PIECEWISE LINEAR TECHNIQUES; RANDOM PROCESSES; RUNGE KUTTA METHODS;

DOMAIN DECOMPOSITION METHODS;

EID: 78651551470     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-75199-1_76     Document Type: Conference Paper

References (8)

1. P. Bastian, K. Birken, S. Lang, K. Johannsen, N. Neuβ, H. Rentz-Reichert, and C. Wieners. UG: A flexible software toolbox for solving partial differential equations.Comput. Vis. Sci., 1:27-40, 1997.
2. 2+ dynamics. Biophys. J., 84(1):42-56, 2003.
3. B. Hendrickson and R. Leland. The CHACO user's guide 1.0. Technical Report SAND93-2339, Sandia National Laboratories, 1993.
4. A. Quarteroni and A. Valli. Numerical Approximation of Partial Differential Equations. Springer-Verlag, Berlin, 1994.
5. S. Rüdiger, J. W. Shuai, W. Huisinga, Ch. Nagaiah, G. Warnecke, I. Parker, and M. Falcke. Hybrid stochastic and deterministic simulations of calcium blips,2006. In preparation.
6. B. A. Schmitt and R. Weiner. Matrix-free W-methods using a multiple Arnoldi iteration. Appl. Numer. Math., 18:307-320, 1995.
7. R. Verfürth. A Review of A Posteriori Error Estimation and Adaptive Mesh- Refinement Techniques. Teubner and Wiley, Stuttgart, 1996.
8. O. C. Zienkiewicz and J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis. Internat. J. Numer. Methods Engrg., 24:337-357, 1987.