Zador, A., Koch, C.
(1994)
*Linearized models of calcium dynamics: Formal equivalence to the cable equation.*
Journal of Neuroscience, 14 (8).
pp. 4705-4715.
ISSN 02706474 (ISSN)

## Abstract

The dynamics of calcium and other diffusible second messengers play an important role in intracellular signaling. We show here the conditions under which nonlinear equations governing the diffusion, extrusion, and buffering of calcium can be linearized. Because the resulting partial differential equation is formally identical to the one-dimensional cable equation, quantities analogous to the input resistance, space constant, and time constant - familiar from the study of passive electrical propagation - can be defined. Using simulated calcium dynamics in an infinite cable and in a dendritic spine as examples, we bound the errors due to the linearization, and show that parameter uncertainty is so large that most nonlinearities can usually be ignored: robust phenomena in the nonlinear model are also present in the linear model.

Item Type: | Paper |
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Uncontrolled Keywords: | cable theory calcium dynamics calcium imaging computer models dendrites information processing spines article calcium transport calculation computer model priority journal second messenger transport kinetics Animal Calcium Computer Simulation Human Linear Models Mathematics Signal Transduction Synapses |

Subjects: | bioinformatics > computational biology organs, tissues, organelles, cell types and functions > cell types and functions > cell types > dendritic cells organs, tissues, organelles, cell types and functions > cell types and functions > cell types > dendritic cells organs, tissues, organelles, cell types and functions > cell types and functions > cell types > dendritic cells organs, tissues, organelles, cell types and functions > sub-cellular tissues: types and functions > synapse |

CSHL Authors: | |

Communities: | CSHL labs > Zador lab |

Depositing User: | Leigh Johnson |

Date: | 1994 |

Date Deposited: | 27 Mar 2012 20:55 |

Last Modified: | 23 Feb 2017 21:21 |

Related URLs: | |

URI: | https://repository.cshl.edu/id/eprint/25637 |

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