Lindsay, K.A., Ogden, J.M. and Rosenberg, J.R. (2002) An investigation into the influence of boundary condition specification in finite difference methods on the behaviour of passive and active neuronal models. Progress in Biophysics and Molecular Biology, 78(1), pp. 3-43. (doi: 10.1016/S0079-6107(02)00004-4)
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Publisher's URL: http://dx.doi.org/10.1016/S0079-6107(02)00004-4
Abstract
Neuronal models provide a major aid to understanding the behaviour of individual neurons and networks of neurons. The solution of the model equations by finite difference methods is widespread because of the inherent simplicity of the technique. Error in the finite difference approach due to spatial and temporal discretisation is shown to be equivalent to a mis-specification of membrane current density. The effect of this mis-specification on the accuracy of the solution to the model equations is shown to depend on the structure of the model and its input, as well as the size of the discretisation intervals themselves. Through a theoretical analysis, illustrated by a number of examples on passive and active dendrites, this article demonstrates that the accuracy with which core current is implemented numerically at segment end-points in elementary models influences the behaviour of the numerical solution of these models, and consequently any physiological conclusions drawn from them.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Rosenberg, Prof Jay and Lindsay, Professor Kenneth |
Authors: | Lindsay, K.A., Ogden, J.M., and Rosenberg, J.R. |
Subjects: | R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry Q Science > QA Mathematics |
College/School: | College of Medical Veterinary and Life Sciences |
Journal Name: | Progress in Biophysics and Molecular Biology |
ISSN: | 0079-6107 |
ISSN (Online): | 1873-1732 |
Published Online: | 25 January 2002 |
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