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   <subfield code="a">Mathematical model of chest wall mechanics: A phenomenological approach</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Shlomo Ben-Haim, Gerald Saidel]</subfield>
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   <subfield code="a">A mathematical model of chest wall mechanics, based on a phenomenological approach to force balances, provides a quantitative framework for analyzing many types of chest wall movements by using orthogonal displacement coordinates. The moveable components of the ventilatory system include the rib cage, diaphragm, and abdomen. A distinction is made between the lung-apposed and diaphragm-apposed actions on the rib cage. The model equations are derived from &quot;pressure” balances and geometrical relations of the compartments; the stress-displacement relations are hyperbolic. With this model we simulated stiff and flaccid chest wall behavior under normal and constrained conditions associated with abdominal compression, a Mueller maneuver, and a diaphragmatic isometric inspiration. We also examined situations that produce paradoxical as well as orthodox inspiratory movements. The results of these simulations were quantitatively consistent with available data from the literature. A phenomenon predicted by the stiff-wall model during quasi-static inspiration is that the rib cage displacement is negligible near residual volume, but then increases dramatically with lung volume. Since this mathematical model has a sound physical basis and is more comprehensive than previous models, it can be used to predict and analyze the behavior of the chest wall under a wide variety of circumstances.</subfield>
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   <subfield code="a">Ventilatory system</subfield>
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   <subfield code="a">Rib cage</subfield>
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   <subfield code="a">Static relaxation</subfield>
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   <subfield code="a">Mueller maneuver</subfield>
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   <subfield code="a">Ben-Haim</subfield>
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   <subfield code="u">Department of Physiology and Biophysics Rappaport Family Institute for Research in the Medical Sciences, Technion-Israel Institute of Technology, 37096, Haifa, Israel</subfield>
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   <subfield code="t">Annals of Biomedical Engineering</subfield>
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