Fig. 7. Comparison of the model with experimental results. (A-D) Calculated
trajectories of simulated worms using Eqn 2 and Eqn 3 and the same parameters
of spatiotemporal thermal gradient as the experiments shown in
Fig. 5 (E,F) The movements of
real and simulated C. elegans responding to spatiotemporal thermal
gradients are plotted as in Fig.
6D. The solid red line indicates the prediction of the model,
, while the connected
points correspond to the crawling trajectories exhibited real C.
elegans (E) and calculated trajectories for simulated C. elegans
(F) on a gradient of 0.4°C cm-1. In each graph, black points
correspond to superposed sine-wave temporal thermal gradients with 0.1°C
amplitude and 120 s period (Fig.
5B and Fig. 7B),
and the blue points correspond to superposed sine-wave temporal thermal
gradients with 0.2°C amplitude and 120 s (data taken from
Fig. 5C and
Fig. 7C). The larger amplitude
oscillation allows the trajectories to move to different branches, creating
the looped trajectories observed in experiment and simulation. The isothermal
tracking performance of real C. elegans and simulated C.
elegans may be quantified by the r.m.s. deviation between the direction
of forward movement and the instantaneous direction of the isotherm. For the
flowerlike (black) trajectories of E and F the r.m.s. deviation for real and
simulated C. elegans is 6° and 10°, respectively. For the
looping (blue) trajectories of E and F, the r.m.s. deviation is 34° and
22°, respectively.