T. Wadden et al., INTERSEGMENTAL COORDINATION IN THE LAMPREY - SIMULATIONS USING A NETWORK MODEL WITHOUT SEGMENTAL BOUNDARIES, Biological cybernetics, 76(1), 1997, pp. 1-9
Swimming in vertebrates such as eel and lamprey involves the coordinat
ion of alternating left and right activity in each segment. Forward sw
imming is achieved by a lag between the onset of activity in consecuti
ve segments rostrocaudally along the spinal cord. The intersegmental p
hase lag is approximately 1% of the cycle duration per segment and is
independent of the swimming frequency. Since the lamprey has approxima
tely 100 spinal segments, at any given time one wave of activity is pr
opagated along the body. Most previous simulations of intersegmental c
oordination in the lamprey have treated the cord as a chain of coupled
oscillators or well-defined segments. Here a network model without se
gmental boundaries is described which can produce coordinated activity
with a phase lag. This 'continuous' pattern-generating network is com
posed of a column of 420 excitatory interneurons (E1 to E420) and 300
inhibitory interneurons (C1 to C300) on each half of the simulated spi
nal cord. The interneurons are distributed evenly along the simulated
spinal cord, and their connectivity is chosen to reflect the behavior
of the intact animal and what is known about the length and strength o
f the synaptic connections. For example, E100 connects to all interneu
rons between E51 and E149, but at varying synaptic strengths, while E1
01 connects to all interneurons between E52 and E150. This unsegmented
E-C network generates a motor pattern that is sampled by output eleme
nts similar to motoneurons (M cells), which are arranged along the cel
l column so that they receive input from seven E and five C interneuro
ns. The M cells thus represent the summed excitatory and inhibitory in
put at different points along the simulated spinal cord and can be reg
arded as representing the ventral root output to the myotomes along th
e spinal cord. E and C interneurons have five simulated compartments a
nd Hodgkin-Huxley based dynamics. The simulated network produces rhyth
mic output over a wide range of frequencies (1-11 Hz) with a phase lag
constant over most of the length, with the exception of the 'cut' end
s due to reduced synaptic input. As the inhibitory C interneurons in t
he simulation have more extensive caudal than rostral projections, the
output of the simulation has positive phase lags, as occurs in forwar
d swimming. However, unlike the biological network, phase lags in the
simulation increase significantly with burst frequency, from 0.5% to 2
.3% over the range of frequencies of the simulation. Local rostral or
caudal increases in excitatory drive in the simulated network are suff
icient to produce motor patterns with increased or decreased phase lag
s, respectively.