Branching dendrites with resonant membrane: a "sum-over-trips" approach

Coombes, Stephen, Timofeeva, Yulia, Svennson, Carl-Magnus, Lord, Gabriel, Josic, Kresimir, Cox, Steven J. and Colbert, Costa (2007) Branching dendrites with resonant membrane: a "sum-over-trips" approach. Biological Cybernetics, 97 (2). pp. 137-149. ISSN 0340-1200

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Dendrites form the major components of neurons. They are complex branching structures that receive and process thousands of synaptic inputs from other neurons. It is well known that dendritic morphology plays an important role in the function of dendrites. Another important contribution to the response characteristics of a single neuron comes from the intrinsic resonant properties of dendritic membrane. In this paper we combine the effects of dendritic branching and resonant membrane dynamics by generalising the "sum-over-trips" approach [Abbott, L.F., Fahri, E., Gutmann, S.: The path integral for dendritic trees. Biological Cybernetics 66, 49--60 (1991)]. To illustrate how this formalism can shed light on the role of architecture and resonances in determining neuronal output we consider dual recording and reconstruction data from a rat CA1 hippocampal pyramidal cell. Specifically we explore the way in which an $I_{h}$ current contributes to a voltage overshoot at the soma.

Item Type: Article
Keywords: dendrites, quasi-active membrane, "sum-over-trips", cable theory
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:
Depositing User: Coombes, Prof Stephen
Date Deposited: 30 Apr 2007
Last Modified: 04 May 2020 20:28

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