An analysis of possible movements of human upper rib cage

A geometrically realistic mathematical model of the first six ribs and vertebrae of the human rib cage is described. Under the assumption that the individual elements of the rib cage do not deform significantly, the possible range of movements of the model are determined subject to the constraint that the joint surfaces remain in contact. It is shown that normal movements of the ribs cannot be described as a rotation about a single fixed axis. The possible movements of the ribs are analyzed in terms of the misfit incurred at the costovertebral joint surfaces. This analysis shows that there is a movement, corresponding to lateral expansion of the rib for an increase in anteroposterior diameter, in which the misfit at the joint is minimized and also that small deviations from this movement involve only very small degrees of misfit at the joint surfaces. It is concluded that many observed "deformations" of the chest wall can be explained by rigid ribs and normal movements at the costovertebral joints. The interaction between the ribs and the spine is analyzed. It is shown that there can be considerable independent movement of the sternum and the spine, thus allowing mobility of the spine without forcing concomitant movements of rib cage.