Mechanical model of the inspiratory pump.

The inspiratory pump (inspiratory muscles and the rib cage) translates inspiratory commands in alveolar ventilation by applying expanding forces to the lungs. Its functioning is of paramount importance to the physiology of breathing and of many pathological situations. Major difficulties in studying its function in relationship with its structure arise from the extremely complex geometrical disposition of its active and passive elements. We herein describe a two-compartment model of the inspiratory pump, with model parameters identification derived from actual measurements obtained by magnetic resonance imaging in normal humans. The equations governing the model are presented. Numerical simulations validate the model by showing a behaviour similar to physiological observations. This opens the possibility of predicting the behaviour of the respiratory system during diseases involving changes in its mechanical or geometrical characteristics.

[1]  A. Grishman Biomedical sciences instrumentation , 1964 .

[2]  J D Enderle,et al.  A linear muscle model predicts the hyperbolic force-velocity relationship. , 1989, Biomedical sciences instrumentation.

[3]  M Paiva,et al.  Three-dimensional reconstruction of the in vivo human diaphragm shape at different lung volumes. , 1994, Journal of applied physiology.

[4]  T A Wilson,et al.  Theory of diaphragm structure and shape. , 1997, Journal of applied physiology.

[5]  Lawrence S. Kroll Mathematica--A System for Doing Mathematics by Computer. , 1989 .

[6]  Y Lecarpentier,et al.  Contraction, relaxation, and economy of force generation in isolated human diaphragm muscle. , 1995, American journal of respiratory and critical care medicine.

[7]  J W Ward,et al.  Analysis of human chest wall motion using a two-compartment rib cage model. , 1992, Journal of applied physiology.

[8]  J. Mead,et al.  Measurement of the separate volume changes of rib cage and abdomen during breathing. , 1967, Journal of applied physiology.

[9]  D. F. Rochester,et al.  A model approach to assess diaphragmatic volume displacement. , 1990, Journal of applied physiology.

[10]  J. Rodarte,et al.  Effects of transverse fiber stiffness and central tendon on displacement and shape of a simple diaphragm model. , 1997, Journal of applied physiology.

[11]  P. Grenier,et al.  Diaphragm and chest wall: assessment of the inspiratory pump with MR imaging-preliminary observations. , 2000, Radiology.

[12]  F P Primiano,et al.  Theoretical analysis of chest wall mechanics. , 1982, Journal of biomechanics.

[13]  W A Whitelaw,et al.  Shape and size of the human diaphragm in vivo. , 1987, Journal of applied physiology.

[14]  M Paiva,et al.  Mechanical implications of in vivo human diaphragm shape. , 1992, Journal of applied physiology.

[15]  Roman E. Maeder,et al.  Programming in Mathematica , 1989 .

[16]  J MILIC-EMILI,et al.  RESPIRATORY THORACO-ABDOMINAL MECHANICS IN MAN. , 1964, Journal of applied physiology.

[17]  M. Estenne,et al.  Coordination between rib cage muscles and diaphragm during quiet breathing in humans. , 1984, Journal of applied physiology: respiratory, environmental and exercise physiology.

[18]  W A Whitelaw,et al.  Relationships among pressure, tension, and shape of the diaphragm. , 1983, Journal of applied physiology: respiratory, environmental and exercise physiology.

[19]  M. Sato [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.