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

Coombes, Stephen; Timofeeva, Yulia; Svennson, Carl-Magnus; Lord, Gabriel; Josic, Kresimir; Cox, Steven J.; Colbert, Costa


Yulia Timofeeva

Carl-Magnus Svennson

Gabriel Lord

Kresimir Josic

Steven J. Cox

Costa Colbert


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.


Coombes, S., Timofeeva, Y., Svennson, C., Lord, G., Josic, K., Cox, S. J., & Colbert, C. (2007). Branching dendrites with resonant membrane: a "sum-over-trips" approach. Biological Cybernetics, 97(2),

Journal Article Type Article
Publication Date Apr 1, 2007
Deposit Date Apr 30, 2007
Publicly Available Date Oct 9, 2007
Journal Biological Cybernetics
Print ISSN 0340-1200
Electronic ISSN 0340-1200
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 97
Issue 2
Keywords dendrites, quasi-active membrane, "sum-over-trips", cable theory
Public URL
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