MANDl3ULAR THOMAS
AND
ARTICULATOR
E. J. SHANAHAN,
Brooklyn,
MOVEMENTS
D.D.S., AND ALEXANDER
LEFF, D.D.S.
N. Y.
PURPOSE OF THIS STUDY was to compare the opening and closing movements of the mandible with the opening and closing movements of a hingeaxis articulator.
T
HE
MANDIBULAR
MOVEMENTS
A mandibular diagnostic unit was constructed to record the movements of the mandible in as simple a manner as possible. The unit consisted of a tiny flashlight hlh which was powered by a single flashlight battery and attached to a plastic chinpiece (Fig. 1) . After the light was placed in position on the chinpiece, the entire bulb was coated with black enamel. Then a pin-point opening was made in the enamel so that a single beam of light was projected. The objective was to photograph the movements of the light from a side view during the opening and closing movements of the mandible. The plastic chinpiece and light were attached to the point of the chin by silicone and adhesive paste or tape. The patient was seated in the chair (Fig. Z), and the room was darkened. The shutter of the camera was opened. The chin light was turned on, and the patient was requested to open and close his mouth just once. The image on the film, made by the light attached to the chin, was in the form of a cycle (Fig. 3). This indicated that the mandible opened on one path and closed on another. The opening movement was slower than the closing movement, and there was some adjustment of the mandible by the musculature before it started on the closing path of the cycle. ARTICULATOR
MOVEMENTS
The opening and closing movements of the hinge-axis articulator were recorded graphically by attaching a pencil to the incisal guidepost. A pad of paper was placed in position, and the articulator was opened and closed just once (Fig. 4). Then the light was attached to the incisal guidepost of the hinge-axis artlulator. The room was darkened, the shutter of the camera was opened, the unit light was turned on, and the maxillary arm of the articulator was opened and closed just once. Presented 7, 1958. Received
before for
the Greater
publication
New
York
Academy
Jan. 2, 1959. 941
of Prosthodontics,
New
York,
N. Y., Dec.
942
SHANAHAN
AND
LEFF
The image on the film, made by the light attached to the hinge-axis articulator during the opening and closing movements, was in the form of an arc (Fig. 5). Thus, the opening and closing movements of the articulator were along the same path, and there were no variations such as were found during the corresponding mandibular movements.
Fig. 1.-A mandibular diagnostic to determine mandibular movement.
Fig. S.-The level for positioning GRAPHIC
AND
unit,
with
chin
light,
camera,
abin light is in position. The instrument in front the head before the tracings are photographed. MATHEMATIC
and
accessories,
of the
mouth
was
used
is a spirit
REPRESENTATIONS
The mandibular and articulator opening and closing movements were plotted graphically to provide a more precise representation of the differences (Fig. 6).
Volume 9 Number G
MANDIBULAR
AND
ARTICULATOR
MOVEMENTS
fN.?
The basic differences between the movements which are apparent graphically can be demonstrated also mathematically. Since the mandibular opening and closing curves represent the same type of mathematical equation, the mandibular opening curve was used in comparison with the articulator curve. The values of x and 1 at suitable intervals were noted for each curve.
Fig. 3.-The ments of the hesitations.
light image mandible in
represents the right
Fig. 4.-A axis articulator
tracing ls made of the arc ln the right sagittal plane.
the cyclic paths of sagittal plane. The
of the opening
and
the opening light spots
closing
and closing moveshow momentary
movements
of a hinge-
A third-degree equation was required to express the mandibular curve, whereas a second-degree equation was sufficient for expressing the articulator curve. Mathematically speaking, the mandibular tracing is the more complex one since it is a curve with inflection, while the articulator tracing is a simple arc of a
SHANAHAI~
AND
LEFF
and articulator circle. The differences between the mandibular closing movements are expressed mathematically as follows : Curve (Patient)
1
Curve (Articulator)
3
opening
+ cx + d + .23x - .16
1 Thirddegree equation
(x - h)” + (y - k)’ = rz xa + f + 18.94x - 6.38~ = .163
1 Seconddegree equation
y = ax’ + bx’ y = .11x8 - .40x*
and
The opening and closing mandibular tracings were not constant for the same patient and varied with each recording. The obvious consistency was that the mandibular tracings were complex curves that did not bear any resemblance to the
Fig. 5.-The image of a hinge-axis articulator
of the arc of light represents in the right sagittal plane.
both
the opening
and
closing
movements
d 6 Fig. parison. mandible,
6.-The mandibular cycle and the articulator arc tracings are plotted for comCurve 1 is the opening paUh of the mandible, curue 2 is the closing path of the and curve 3 is the opening and closing path of the articulator.
MANDIRGLAR
AND
ARTICULATOR
XIOVEMENTS
t115
articulator tracings. Functional mandibular chewing recordings made in several planes served to increase the complexity of the tracings and to enhance the aboyta findings. Further studies are in progress to determine the value of individual mandibular tracings as a diagnostic aid. CONCLUSION
The normal opening and closing movements of the mandible do not coincide with the opening and closing movements of a hinge-axis articulator. 862 CARROLL BROOKLYN
ST. 15, N. Y.
833 ST. JOHN’S BROOKLYN 15.
PLACE
N. Y.