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

Abstract

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.

Citation

Coombes, S., Timofeeva, Y., Svennson, C.-M., Lord, G., Josic, K., Cox, S. J., & Colbert, C. (2007). Branching dendrites with resonant membrane: a "sum-over-trips" approach. Biological Cybernetics, 97(2), https://doi.org/10.1007/s00422-007-0161-5

• 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: 1432-0770
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 97
• Issue: 2
• DOI: https://doi.org/10.1007/s00422-007-0161-5
• Keywords: dendrites, quasi-active membrane, "sum-over-trips", cable theory
• Public URL: https://nottingham-repository.worktribe.com/output/1016873
• Publisher URL: http://www.springerlink.com/content/d463265w2055l123/