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Pulmonary Section, Department of Medicine, Baylor College of Medicine, Houston, Texas 77030
Received 11 August 1995; accepted in final form 2 January 1997.
Boriek, Aladin M., and Joseph R. Rodarte. Effects of
transverse fiber stiffness and central tendon on displacement and shape
of a simple diaphragm model. J. Appl. Physiol. 82(5): 1626-1636, 1997.
Our previous experimental results (A. M. Boriek, S. Lui, and J. R. Rodarte. J. Appl. Physiol. 75:
527-533, 1993 and A. M. Boriek, T. A. Wilson, and J. R. Rodarte.
J. Appl. Physiol. 76: 223-229, 1994) showed that
1) costal diaphragm shape is similar at functional residual
capacity and end inspiration regardless of whether the diaphragm muscle
shortens actively (increased tension) or passively (decreased tension);
2) diaphragmatic muscle length changes minimally in the
direction transverse to the muscle fibers, suggesting the diaphragm may
be inextensible in that direction; and 3) the central tendon is
not stretched by physiological stresses. A two-dimensional orthotropic
material has two different stiffnesses in orthogonal directions. In the
plane tangent to the muscle surface, these directions are along the
fibers and transverse to the fibers. We wondered whether orthotropic
material properties in the muscular region of the diaphragm and
inextensibility of the central tendon might contribute to the constancy
of diaphragm shape. Therefore, in the present study, we examined the
effects of stiffness transverse to muscle fibers and inextensibility of
the central tendon on diaphragmatic displacement and shape. Finite
element hemispherical models of the diaphragm were developed by using
pressurized isotropic and orthotropic membranes with a wide range of
stiffness ratios. We also tested heterogeneous models, in which the
muscle sheet was an orthotropic material, having transverse fiber
stiffness greater than that along the fibers, with the central tendon
being an inextensible isotropic cap. These models revealed that
increased transverse stiffness limits the shape change of the
diaphragm. Furthermore, an inextensible cap simulating the central
tendon dramatically limits the change in shape as well as the membrane displacement in response to pressure. These findings provide a plausible mechanism by which the diaphragm maintains similar shapes despite different physiological loads. This study suggests that changes
of diaphragm shape are restricted because the central tendon is
essentially inextensible and stiffness in the direction transverse to
the muscle fibers is greater than stiffness along the fibers.
respiratory muscles; chest wall; diaphragm mechanics
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