Equivalence transformations for dendritic Y-junctions: a new definition of dendritic sub-unit

Lindsay, K.A., Ogden, J.M. and Rosenberg, J.R. (2001) Equivalence transformations for dendritic Y-junctions: a new definition of dendritic sub-unit. Mathematical Biosciences, 170(2), pp. 133-154. (doi: 10.1016/S0025-5564(01)00046-3)

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Publisher's URL: http://dx.doi.org/10.1016/S0025-5564(01)00046-3


A sequence of equivalence transformations is used to represent the mathematical model of a simply branched neuron with non-homogeneous membrane properties and non-uniform geometry by an entirely equivalent model of an unbranched structure. The analysis indicates how neuronal morphology, in combination with its biophysical properties, shapes neuronal output in response to current input. The equivalence transformations described here reveal the types of operations that are likely to feature in the analysis of complex multi-branched structures, neuronal or otherwise. These transformations provide a new definition of dendritic sub-unit and a basis of a mechanism for characterising local and non-local signal processing within dendritic structures. It is anticipated that the capacity to transform biological neurons into an equivalent unbranched structure will make an important contribution to the understanding of the functional role of neuron geometry as well as to the construction of silicon neurons with realistic biological properties.

Item Type:Articles
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:Mathematical Biosciences
Published Online:30 March 2001

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