Fig. 2. Leg coordination rules 1 and 2. (A) Leg coordination rules 1 and 2,
sensu Cruse et al.
(1995), act ipsilaterally in
an anterior direction and contralaterally between intrasegmental leg pairs
(arrows point from sender to receiver leg). Rule 1 supposedly does not act
between middle and front legs (broken arrows). Legs are labelled according to
the standardised clockwise turning direction. (B) Quantification of coupling
strength associated with rules 1 and 2. Step cycle timing of a leg is
considered a sequence of alternating, mutually exclusive states S
over time t, assuming value 0 for stance and value 1 for swing. In an
ipsilateral leg pair, rule 1 inhibits stanceswing transition in the
anterior leg (dotted line, receiver leg) whenever the posterior leg (broken
line, sender leg) is in state 1 (large grey arrows). In the same leg pair,
rule 2 excites stanceswing transition in the anterior leg soon after
swingstance transition of the posterior leg. Thus, if rules 1 and 2
were effective, the receiver leg should undergo a stanceswing
transition at the time of a swingstance transition of the sender leg
(trans10). Coupling strength is calculated by summing the state of the
receiver leg for a given time bin (tttrans10)
within a time window (horizontal arrows between stops) for each one of
N steps belonging to the same stimulus period. Division by N
gives the likelihood of the receiver leg to be in state 1, given a particular
time delay relative to the swingstance transition in the sender leg. If
coupling according to rules 1 and 2 is strong, values are expected to be close
to zero before ttrans10 (rule 1) and close to unity after
ttrans10 (rule 2).