Implementation issues in approximate methods for stochastic hodgkin-huxley models

Annals of Biomedical Engineering

Volumn 35, Issue 2, 2007, Pages 315-318

  Bruce, Ian C ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; MARKOV PROCESSES; PHYSIOLOGICAL MODELS;

FINITE-STATE MARKOV PROCESS MODELS; FOX ALGORITHM; SPIKE JITTER;

STOCHASTIC CONTROL SYSTEMS;

SODIUM CHANNEL;

ACTION POTENTIAL; ALGORITHM; ANIMAL; ARTIFACT; BIOLOGICAL MODEL; CELL MEMBRANE POTENTIAL; COMPUTER SIMULATION; ELECTROSTIMULATION; MAMMAL; NOTE; PHYSIOLOGY; PROBABILITY; RANVIER NODE; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL; STATISTICS;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; ARTIFACTS; COMPUTER SIMULATION; ELECTRIC STIMULATION; MAMMALS; MARKOV CHAINS; MEMBRANE POTENTIALS; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; RANVIER'S NODES; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SODIUM CHANNELS; STOCHASTIC PROCESSES;

EID: 33846267349     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9174-9     Document Type: Article

References (9)

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3. Chow, C. C. and J. A. White. Spontaneous action potentials due to channel fluctuations. Biophys. J. 71:3013-3021, 1996.
4. Fox, R. F. Stochastic versions of the Hodgkin-Huxley equations. Biophys. J. 72:2068-2074, 1997.
5. Fox, R. F. and Y.-N. Lu. Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Phys. Rev. E 49:3421-3431, 1994.
6. Hodgkin, A. and A. Huxley. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500-544, 1952.
7. Mino, H., J. T. Rubinstein, and J. A. White. Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Ann. Biomed. Eng. 30:578-587, 2002.
8. Rubinstein, J. T. Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophys. J. 68:779-785, 1995.
9. Strassberg, A. F. and L. J. DeFelice. Limitations of the Hodgkin-Huxley formalism: effects of single channel kinetics on transmembrane voltage dynamics. Neural Comput. 5:843-855, 1993.