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Linearized models of calcium dynamics: formal equivalence to the cable equation

Zador, Anthony and Koch, Christof (1994) Linearized models of calcium dynamics: formal equivalence to the cable equation. Journal of Neuroscience, 14 (8). pp. 4705-4715. ISSN 0270-6474. http://resolver.caltech.edu/CaltechAUTHORS:20130816-103239684

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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


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.jneurosci.org/content/14/8/4705.abstractPublisherArticle
Additional Information:© 1994 by Society for Neuroscience. Received July 15, 1993; revised Dec. 27, 1993; accepted Jan. 13, 1994.
Group:Koch Laboratory, KLAB
Subject Keywords:computer models, calcium dynamics, calcium imaging, cable theory, information processing, dendrites, spines
Record Number:CaltechAUTHORS:20130816-103239684
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130816-103239684
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40550
Collection:CaltechAUTHORS
Deposited By: KLAB Import
Deposited On:26 Jan 2008 04:44
Last Modified:03 Apr 2014 20:53

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