Neuroscience Research 41 (2001) 161 – 183 www.elsevier.com/locate/neures
Dendritic spatial flicker of local membrane potential due to
channel noise and probabilistic firing of hippocampal neurons in
culture
Leonid P. Savtchenko
a,b,1
, Paul Gogan
a
, Suzanne Tyc ˇ-Dumont
a,
*
a
Unite ´ de Neurocyberne ´tique Cellulaire, 280 Bd Sainte Marguerite, 13009 Marseille, France
b
Research Laboratory of Biophysics and Bioelectronics, International Center for Molecular Physiology (Dniepropetrosk diision),
National Academy of Sciences of Ukraine, Dniepropetrosk State Uniersity, Dniepropetrosk 49050, Ukraine
Received 16 March 2001; accepted 16 July 2001
Abstract
Whole-cell recordings and imaging of dissociated hippocampal neurons stained with voltage sensitive dye provide a new
microscopic picture of neuronal excitation. This is the first attempt to combine imaging of active channel clusters on the geometry
of live neurons and a theoretical approach. During single somatic action potentials and the back-invasion into the neurites, local
mean potentials are generated at sites of active channel clusters which are unevenly distributed in the neuronal membrane. Similar
mean membrane potentials are observed in the neurites and at the soma. Identical action potentials produce different spatial
patterns of mean membrane potentials from trial to trial. This spatial variability is explained by the stochastic behavior of the
channels in the clusters. When hippocampal neurons are excited by synaptic inputs, their evoked responses are probabilistic and
generate variable spatial patterns of mean membrane potential trial after trial. Our stochastic model reproduces this random
behavior by assuming that the voltage fluctuations generated by channel noise are added to the synaptic potentials reaching the
soma. We demonstrate that the probability of action potential initiation depends on the strength of the synaptic input, the
diameter of the dendrites and the relative positions of the channel clusters, of the synapse and of the soma. © 2001 Elsevier
Science Ireland Ltd and the Japan Neuroscience Society. All rights reserved.
Keywords: Hippocampal neurons; Active channel clusters; Imaging; Probabilistic synaptic firing; Dendritic back-invasion; Stochastic model
1. Introduction
The dendritic membrane of some types of vertebrate
central neurons contains active conductances that are
important to process synaptic inputs and shape the
output frequency discharges of the neuron. Recent ex-
perimental data came from dendritic patch recordings
in slice experiments describing active Na
+
,K
+
and
Ca
++
channels in membrane patches of dendrites of
pyramidal neurons from hippocampus and neocortex
(for review see Yuste and Tank, 1996; Johnston et al.,
1996). This evidence has led to suggestions that these
voltage dependent channels can boost distal synaptic
events, affect synaptic integration locally and modulate
synaptic efficacy by coincidence of EPSP and back-in-
vading action potentials (Stuart and Sakmann, 1995).
Information about the position of these conductances
and their operations in a tree when the neuron is
excited is crucial for the understanding of their func-
tional role in dendritic processing (Mel, 1993).
Yet, the study of the spatial distribution of voltage-
dependent ionic conductances over a large portion of a
dendrite, their kinetics and their voltage dependencies
remains limited by the technical hurdles that render
direct experimental verification of hypothesis extremely
difficult. Even dual somatic and dendritic patch record-
ings from restricted membrane patches of the same
neuron suffer from spatial limitation and yield insuffi-
cient view of all electrical events that occur in the
* Corresponding author. Tel.: +33-491-75-0200; fax: +33-491-26-
2038.
E-mail address: tycdum@marseille.inserm.fr (S. Tyc ˇ-Dumont).
1
Associated researcher at CNRS.
0168-0102/01/$ - see front matter © 2001 Elsevier Science Ireland Ltd and the Japan Neuroscience Society. All rights reserved.
PII:S0168-0102(01)00274-7