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Exploring human organs with computers  157




                                 9.4 Bone and skin
                                 Perhaps the most obvious biological application of finite-element model-
                                 ling, given the popularity of the technique in mechanical engineering, is in
                                 bone mechanics. The structural properties of bone are determined by non-
                                 cellular organic and inorganic components. It is only these components that
                                 are included in the simplest models. The potential exists to assess quantita-
                                 tively an individual patient’s risk of bone fracture, which has significant
                                 clinical implications in an ageing population. Currently, estimates of this
                                 risk are limited by the inability to allow for complex structural features
                                 within the bone. However, if the internal structure of a bone was determined
                                 in vivo, using X-ray-based computed tomography, an accurate finite-element
                                 model could be built to estimate the maximum load that can be borne before
                                 fracture. Finite-element models can aid in surgical spine-stabilisation proce-
                                 dures, thanks to their ability to cope well with the irregular geometry and
                                 composite nature of the vertebrae and intervertebral discs.
                                    The acellular structure of real bone is modified continuously accord-
                                 ing to the internal stresses caused by applied loads. This process, which
                                 represents an attempt to optimize the strength-to-weight ratio in a biolog-
                                 ical structure, is achieved by the interaction between two types of cell, one
                                 that absorbs bone and the other that synthesises new bone. New bone is
                                 added where internal stresses are high, and bone is removed where stresses
                                 are low. An accurate finite-element model of this combined process could
                                 be used clinically to determine the course of traction that will maximise
                                 bone strength after recovery from a fracture.
                                    Another well-established area of mechanical finite-element analysis is
                                 in the motion of the structures of the human middle ear (Figure 9.3). Of
                                 particular interest are comparisons between the vibration pattern of the
                                 eardrum, and the mode of vibration of the middle-ear bones under normal
                                 and diseased conditions. Serious middle-ear infections and blows to the
                                 head can cause partial or complete detachment of the bones, and can
                                 restrict their motion. Draining of the middle ear, to remove these products,
                                 is usually achieved by cutting a hole in the eardrum. This invariably results
                                 in the formation of scar tissue. Finite-element models of the dynamic
                                 motion of the eardrum can help in the determination of the best ways of
                                 achieving drainage without affecting significantly the motion of the
                                 eardrum. Finite-element models can also be used to optimise prostheses
                                 when replacement of the middle-ear bones is necessary.
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