Skip to main content
Article thumbnail
Location of Repository

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

By Stephen Coombes, Yulia Timofeeva, Carl-Magnus Svensson, G. J. (Gabriel J.) Lord, Krešimir Josić, S. J. Cox and Costa M. 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 et al. in Biol 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 Ih current contributes to a voltage overshoot at the soma

Topics: RC0321
Publisher: Springer
Year: 2007
OAI identifier:

Suggested articles


  1. (1992). Simple diagrammatic rules for solving dendritic cable problems. doi
  2. (1991). The path integral for dendritic trees. doi
  3. (1974). J.D.: Transient potentials in dendritic systems of arbitrary geometry. doi
  4. (1993). L.F.: New computational method for cable theory problems. doi
  5. (2001). Recovering quasi-active properties of dendritic neurons from dual potential recordings.
  6. (2004). Recovering the passive properties of tapered dendrites from single and dual potential recordings. doi
  7. (1992). Techniques for obtaining analytical solutions to the multicylinder somatic shunt cable model for passive neurons. doi
  8. (1995). Techniques for the application of the analytical solutions to the multi-cylinder somatic shunt cable model for passive neurons. doi
  9. (2001). M.: Dendritic democracy.
  10. (1988). A model for electrical resonance and frequency tuning in saccular haircellsofthebull-frog, doi
  11. (1996). E.: Models of subthreshold membrane resonance in neocortical neurons.
  12. (2000). Resonance, oscillation and the intrinsic frequency preferences of neurons. doi
  13. (1996). B.R.: Active properties of neuronl dendrites. doi
  14. (1984). Cable theory in neurons with active, linearizedmembranes. doi
  15. (1985). A simple algorithm for solving the cable equation in dendritic geometries of arbitrary geometry. doi
  16. (2006). G.A.: Computational simulation of the input-output relationship in hippocampal pyramidal cells. doi
  17. (2005). Dendritic computation.
  18. (1999). I.: Signal transfer in passive dendrites with nonuniform membrane conductance.
  19. (1998). Dendritic hyperpolarizationactivated currents modify the integrative properties of hippocampal CA1 pyramidal neurons.
  20. (1996). T.J.: Influence of dendritic structure on firing pattern in model neocortical neurons. doi
  21. (1970). Subthreshold behavior and phenomenological impedance of the squid giant axon. doi
  22. G.A.: Signal propagation in oblique dendrites of CA1 pyramidal cells. doi
  23. (2002). The effect of dendritic topology on firing patterns in model neurons. doi
  24. (1996). Queer current and pacemaker: the hyperpolarization activated cation current in neurons. doi
  25. (2002). Neuroscience: A mathematical primer. doi
  26. (2000). Untangling dendrites with quantitative models. doi
  27. (1995). The theoretical foundations of dendritic function: selected papers of Wilfrid Rall with commentaries.
  28. (2006). Dendritic cable with active spines: a modeling study in the spike-diffuse spike framework. doi
  29. (2006). Spatiotemporal filtering properties of a dendritic cable with active spines. doi
  30. (1988). Introduction to theoretical neurobiology volume I. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.