Invariant manifold reductions for Markovian ion channel dynamics

Journal of Mathematical Biology

Volumn 58, Issue 3, 2009, Pages 447-457

  Keener, James P ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

Invariant manifold reduction; Ion channel kinetics; Markov models

Indexed keywords

ION CHANNEL;

ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; KINETICS; METABOLISM; PROBABILITY; PROTEIN CONFORMATION; STATISTICS;

COMPUTER SIMULATION; ION CHANNELS; KINETICS; MARKOV CHAINS; MODELS, BIOLOGICAL; PROTEIN CONFORMATION; STOCHASTIC PROCESSES;

EID: 58149301580     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0199-6     Document Type: Article

References (9)

1. Keener J.P., Sneyd J.: Mathematical Physiology. Springer, New York (1998)
2. Gardiner C.W.: Handbook of Stochastic Methods, 2nd edn. Springer, New York (1985)
3. Earnshaw, B., Keener, J.P.: Global stability for time-dependent Markov processes. (2008, to appear)
4. T. Jahnke W. Huisinga 2007 Solving the chemical master equation for monomlecular reaction systems analytically J. Math. Biol. 54 1 26
5. A.L. Hodgkin A.F. Huxley 1952 A quantitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. 117 500 544
6. Ks participation in cardiac repolarization and repolarization reserve Circ. 121 1176 1182
7. M.D. Stern L.-S. Song H. Cheng J.S.K. Sham H.T. Yang K.R. Boheler E. Rios 1999 Local control models of cardiac excitation-contraction coupling: a possible role for allosteric interactions between ryanodine receptors J. Gen. Phys. 113 469 489
8. T.R. Shannon F. Wang J. Puglisi C. Weber D.M. Bers. 2004 A mathematical treatment of integrated Ca dynamics within the ventricular myocyte Biophys. J. 87 3351 3371
9. ++] oscillations Proc. Natl. Acad. Sci. USA 89 9895 9899