COMPUTER SIMULATION OF THE RESPONSES OF HUMAN MOTONEURONS TO COMPOSITE 1A
EPSPS: EFFECTS OF BACKGROUND FIRING RATE.
Jones, Kelvin E. and Parveen Bawa.
School of Kinesiology, Simon Fraser University, Burnaby, B.C., V5A 1S6,
APStracts 3:0236N, 1996.
Two compartmental models of spinal alpha motoneurons were constructed to
explore the relationship between background firing rate and response to an
excitatory input. The results of these simulations were compared to previous
results obtained from human motoneurons and discussed in relation to the
current model for repetitively firing human motoneurons. The morphologies and
cable parameters of the models were based on two type-identified cat
motoneurons previously reported in the literature. Each model included 5
voltage-dependent channels which were modeled using Hodgkin-Huxley formalism.
These included fast Na- and K- channels in the initial segment, and fast Na-
and K- channels as well as a slow K- channel in the soma compartment. The
density and rate factors for the slow K- channel were varied until the models
could reproduce single spike AHP parameters for type-identified motoneurons in
the cat. Excitatory synaptic conductances were distributed along the
equivalent dendrites with the same density described for Ia synapses from
muscle spindles to type-identified cat motoneurons. Simultaneous activation of
all synapses on the dendrite resulted in a large compound excitatory
postsynaptic potential (EPSP). Brief depolarizing pulses injected into a
compartment of the equivalent dendrite resulted in pulse potentials (PPs)
which resembled the compound EPSPs. The effects of compound EPSPs and PPs on
firing probability of the two motoneuron models were examined during rhythmic
firing. Peristimulus time histograms (PSTHs), constructed between the stimulus
and the spikes of the model motoneuron, showed excitatory peaks whose
integrated time course approximated the time course of the underlying EPSP or
PP as has been shown in cat motoneurons. The excitatory peaks were quantified
in terms of response probability, and, the relationship between background
firing rate and response probability was explored. As in real human
motoneurons, the models exhibited an inverse relationship between response
probability and background firing rate. The biophysical properties responsible
for the relationship between response probability and firing rate included the
shapes of the membrane voltage trajectories between spikes and nonlinear
changes in PP amplitude during the interspike interval at different firing
rates. The results from these simulations suggest that the relationship
between response probability and background firing rate is an intrinsic
feature of motoneurons. The similarity of the results from the models, which
were based on the properties of cat motoneurons, and those from human
motoneurons suggests that the biophysical properties governing rhythmic firing
in human motoneurons are similar to those of the cat.
Received 3 June 1996; accepted in final form 24 September 1996.
APS Manuscript Number J447-6.
Article publication pending J. Neurophysiol.
ISSN 1080-4757 Copyright 1996 The American Physiological Society.
Published in APStracts on 5 November 1996