Human mandibular function is determined in part by masticatory muscle tensi
ons and morphological restraints within the craniomandibular system. As onl
y limited information about their interactions can be obtained in vivo, mat
hematical modeling is a useful alternative. It allows simulation of causal
relations between structure and function and the demonstration of hypotheti
cal events in functional or dysfunctional systems. Here, the external force
required to reach maximum jaw gape was determined in five relaxed particip
ants, and this information used, with other musculoskeletal data, to constr
uct a dynamic, muscle-driven, three-dimensional mathematical model of the c
raniomandibular system. The model was programmed to express relations betwe
en muscle tensions and articular morphology during wide jaw opening. It was
found that a downward force of 5 N could produce wide gape in vivo. When t
he model's passive jaw-closing muscle tensions were adjusted to permit this
, the jaw's resting posture was lower than that normally observed in alert
individuals, and low-level active tone was needed in the closer muscles to
maintain a typical rest position. Plausible jaw opening to wide gape was po
ssible when activity in the opener muscles increased incrementally over tim
e. When the model was altered structurally by decreasing its angles of cond
ylar guidance, jaw opening required less activity in these muscles. Plausib
le asymmetrical jaw opening occurred with deactivation of the ipsilateral l
ateral pterygoid actuator. The model's lateral deviation was limited by pas
sive tensions in the ipsilateral medial pterygoid, which forced the jaw to
return towards the midline as opening continued. For all motions, the tempo
romandibular joint (TMJ) components were maintained in continual apposition
and displayed stable pathways despite the absence of constraining ligament
s. Compressive TMJ forces were presented in all the cases and increased to
maximum at wide gape. Dynamic mathematical modeling appears a useful way to
study such events, which as yet are unrecordable in the human craniomandib
ular system. (C) 2000 Elsevier Science Ltd. All rights reserved.