M. Ullstrom et al., ACTIVITY-DEPENDENT MODULATION OF ADAPTATION PRODUCES A CONSTANT BURSTPROPORTION IN A MODEL OF THE LAMPREY SPINAL LOCOMOTOR GENERATOR, Biological cybernetics, 79(1), 1998, pp. 1-14
The neuronal network underlying lamprey swimming has stimulated extens
ive modelling on different levels of abstraction. The lamprey swims wi
th a burst frequency ranging from 0.3 to 8-10 Hz with a rostrocaudal l
ag between bursts in each segment along the spinal cord. The swimming
motor pattern is characterized by a burst proportion that is independe
nt of burst frequency and lasts around 30%-40% of the cycle duration.
This also applies in preparations in which the reciprocal inhibition i
n the spinal cord between the left and right side is blocked. A networ
k of coupled excitatory neurons producing hemisegmental oscillations m
ay form the basis of the lamprey central pattern generator (CPG). Here
we explored how such networks, in principle, could produce a large fr
equency range with a constant burst proportion. The computer simulatio
ns of the lamprey CPG use simplified, graded output units that could r
epresent populations of neurons and;that exhibit adaptation. We invest
igated the effect of an active modulation of the degree of adaptation
of the CPG units to accomplish a constant burst proportion over the wh
ole frequency range when, in addition, each hemisegment is assumed to
be self-oscillatory, The degree of adaptation is increased with the de
gree of stimulation of the network. This will make the bursts terminat
e earlier at higher burst rates, allowing for a constant burst proport
ion. Without modulated adaptation the network operates in a limited ra
nge of swimming frequencies due to a progressive increase of burst dur
ation with increasing background stimulation. By introducing a modulat
ion of the adaptation, a broad burst frequency range can be produced.
The reciprocal inhibition is thus not the primary burst terminating fa
ctor, as in many CPG models, and it is mainly responsible for producin
g alternation between the left and right sides. The results are compar
ed with the Morris-Lecar oscillator model with parameters set to produ
ce a type A and type B oscillator, in which the burst durations stay c
onstant or increase, respectively, when the background stimulation is
increased. Here as well, burst duration can be controlled by modulatio
n of the slow variable in a similar way as above. When oscillatory hem
isegmental networks are coupled together in a chain a phase lag is pro
duced. The production of a phase lag in chains of such oscillators is
compared with chains of Morris-Lecar relaxation oscillators. Models re
lating to the intact versus isolated spinal cord preparation are discu
ssed, as well as the role of descending inhibition.