Phenomenological Incorporation of Nonlinear Dendritic Integration Using Integrate-and-Fire Neuronal Frameworks

Doug Zhou, Songting Li, Xiao hui Zhang, David Cai

Research output: Contribution to journalArticle

Abstract

It has been discovered recently in experiments that the dendritic integration of excitatory glutamatergic inputs and inhibitory GABAergic inputs in hippocampus CA1 pyramidal neurons obeys a simple arithmetic rule as VS Exp ≈ VE Exp + VI Exp + kVE Exp VI Exp, where VS Exp, VE Exp and VI Exp are the respective voltage values of the summed somatic potential, the excitatory postsynaptic potential (EPSP) and the inhibitory postsynaptic potential measured at the time when the EPSP reaches its peak value. Moreover, the shunting coefficient k in this rule only depends on the spatial location but not the amplitude of the excitatory or inhibitory input on the dendrite. In this work, we address the theoretical issue of how much the above dendritic integration rule can be accounted for using subthreshold membrane potential dynamics in the soma as characterized by the conductance-based integrate-and-fire (I&F) model. Then, we propose a simple I&F neuron model that incorporates the spatial dependence of the shunting coefficient k by a phenomenological parametrization. Our analytical and numerical results show that this dendritic-integration-rule-based I&F (DIF) model is able to capture many experimental observations and it also yields predictions that can be used to verify the validity of the DIF model experimentally. In addition, the DIF model incorporates the dendritic integration effects dynamically and is applicable to more general situations than those in experiments in which excitatory and inhibitory inputs occur simultaneously in time. Finally, we generalize the DIF neuronal model to incorporate multiple inputs and obtain a similar dendritic integration rule that is consistent with the results obtained by using a realistic neuronal model with multiple compartments. This generalized DIF model can potentially be used to study network dynamics that may involve effects arising from dendritic integrations.

Original languageEnglish (US)
Article numbere53508
JournalPLoS One
Volume8
Issue number1
DOIs
StatePublished - Jan 15 2013

Fingerprint

Excitatory Postsynaptic Potentials
Fires
Inhibitory Postsynaptic Potentials
Pyramidal Cells
Carisoprodol
Dendrites
Membrane Potentials
Hippocampus
Neurons
neurons
dendrites
hippocampus
membrane potential
Experiments
Membranes
prediction
Electric potential

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)

Cite this

Phenomenological Incorporation of Nonlinear Dendritic Integration Using Integrate-and-Fire Neuronal Frameworks. / Zhou, Doug; Li, Songting; Zhang, Xiao hui; Cai, David.

In: PLoS One, Vol. 8, No. 1, e53508, 15.01.2013.

Research output: Contribution to journalArticle

Zhou, Doug ; Li, Songting ; Zhang, Xiao hui ; Cai, David. / Phenomenological Incorporation of Nonlinear Dendritic Integration Using Integrate-and-Fire Neuronal Frameworks. In: PLoS One. 2013 ; Vol. 8, No. 1.
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