We applied the theory of synergies to analyze the processes that lead to
unintentional decline in isometric fingertip force when visual feedback of the
produced force is removed. We tracked the changes in hypothetical control
variables involved in single fingertip force production based on the
equilibrium-point hypothesis, namely, the fingertip referent coordinate
(RFT) and its apparent stiffness (CFT). The system's
state is defined by a point in the {RFT; CFT} space. We
tested the hypothesis that, after visual feedback removal, this point (1) moves
along directions leading to drop in the output fingertip force, and (2) has even
greater motion along directions that leaves the force unchanged. Subjects
produced a prescribed fingertip force using visual feedback, and attempted to
maintain this force for 15 s after the feedback was removed. We used the
“inverse piano” apparatus to apply small and smooth positional
perturbations to fingers at various times after visual feedback removal. The
time courses of RFT and CFT showed that force drop was
mostly due to a drift in RFT towards the actual fingertip position.
Three analysis techniques, namely, hyperbolic regression, surrogate data
analysis, and computation of motor-equivalent and non-motor-equivalent motions,
suggested strong co-variation in RFT and CFT stabilizing
the force magnitude. Finally, the changes in the two hypothetical control
variables {RFT; CFT} relative to their average trends also
displayed covariation. On the whole the findings suggest that unintentional
force drop is associated with (a) a slow drift of the referent coordinate that
pulls the system towards a low-energy state, and (b) a faster synergic motion of
RFT and CFT that tends to stabilize the output
fingertip force about the slowly-drifting equilibrium point.