Abstract In order to understand how the central nervous
system controls the kinematics of rapid finger and hand
movements, we studied the motions of subjects turning a
knob to light-emitting diode targets, similar to tuning a
radio dial. On many trials, subjects turned the knob with
a single, smooth, and regular motion as revealed by the
angular position and velocity trajectories, but on others,
subjects produced irregularities in the kinematics. Like
many past studies, we interpreted these irregularities as
discrete corrective submovements. Unlike other studies,
we used a direct, objective algorithm to identify overlap-
ping submovements, detecting appreciable inflections in
the acceleration traces by examining zero crossings in
their derivatives, jerk and snap. The movements without
overlapping submovements on average had a near sym-
metric, bell-shaped velocity profile that was independent
of speed, and which matched the theoretical minimum
jerk velocity very closely. We proposed three plausible
mechanisms for altering the shape of movement kine-
matics, and implemented a mass-spring model with non-
linear damping to explore the possibilities. Although
there was relatively little variability in the shape and
symmetry of movements across trials, there was a fair
amount of variability in their amplitude. We show that
subjects attempted to eliminate the need for corrective
submovements by making more accurate primary move-
ments with practice, but that the variability inherent in
rapid movements dictated the need for corrective sub-
movements. Subjects used corrective submovements to
improve final endpoint accuracy while reducing endpoint
variability, resulting in higher task success rates.
Key words Hand movements · Kinematics · Symmetry ·
Submovements · Model
Introduction
Every day we use our hands and fingers to grasp and ma-
nipulate objects in our environment with incredible coor-
dination and skill. A disproportionate amount of the
brain’s motor cortex is devoted to these complicated
hand skills necessary for interacting with the world
around us. To gain insight into how we use our hands to
manipulate objects and how we achieve accuracy in rap-
id hand movements, this study investigates the kinemat-
ics of a coordinated multijoint hand manipulation task.
Subjects were required to turn a knob rapidly to align a
pointer with a target. The movement was complicated,
with the possibility of eighteen degrees of freedom with
all the finger joints.
In studying the kinematic features of simpler move-
ments, some investigators (Abend et al. 1982; Atkeson
and Hollerbach 1985; Flash and Hogan 1985; Gordon
et al. 1994; Morasso 1981; Uno et al. 1989) have ob-
served smooth, nearly symmetric movement trajectories.
Others (Berthier 1996; Crossman and Goodeve 1983;
Flash and Henis 1990; Keele 1968; Krebs et al. 1998;
Lee et al. 1997; Meyer et al. 1988; Milner 1992;
Morasso and Mussa Ivaldi 1982; Pratt et al. 1994;
Woodworth 1899) have described irregularities in move-
ments produced as a series of discrete submovements,
or substantial asymmetries in the trajectories (Moore
and Marteniuk 1986; Nagasaki 1989; Wiegner and
Wierzbicka 1992). Many movements contain irregulari-
ties and multiple velocity peaks near the end of a move-
ment when high spatial precision is required (Crossman
and Goodeve 1983).
The iterative-corrections model of Keele (1968) and
Crossman and Goodeve (1983) proposed that a series of
submovements of a constant movement time and succes-
sively smaller amplitudes were generated one after the
other until the target was reached. Meyer et al. (1988)
recognized a shortcoming of this model in its inability to
deal with movement variability, and proposed a “sto-
chastic optimized-submovement model.” In this model
one or more submovements may be made after the pri-
K.E. Novak (
✉
) · L.E. Miller · J.C. Houk
Department of Physiology, Northwestern University,
2145 Sheridan Road, Evanston, IL 60208-3107, USA
e-mail: k-novak@nwu.edu
K.E. Novak · J.C. Houk
Department of Biomedical Engineering, Northwestern University,
303 E. Chicago Avenue, Ward 5–150, Chicago, IL 60611, USA
Exp Brain Res (2000) 132:419–433
Digital Object Identifier (DOI) 10.1007/s002210000366
RESEARCH ARTICLE
K.E. Novak · L.E. Miller · J.C. Houk
Kinematic properties of rapid hand movements in a knob turning task
Received: 26 October 1999 / Accepted: 28 January 2000 / Published online: 25 March 2000
© Springer-Verlag 2000