Characterization of structure and properties of bone by spectral measure method

摘要: Novel mathematical method called spectral measure (SMM) is developed for characterization of bone structure and indirect estimation properties. The based on an inverse homogenization technique which allows to derive information about the composite material from measured effective electric or viscoelastic mechanical properties ability withstand fracture depend structural organization as a hierarchical composite. Information parameters contained in Stieltjes integral representation constructing either by calculating it directly micro-CT images using measurements over frequency range. In present paper, we generalize case show how microstructure, particular, volume porosity, can be characterized function calculated complex permittivity modulus. For validation purposes, numerically simulated data cancellous bone. Recovered values porosity are excellent agreement with true estimated images. We also discuss another application this method, estimate difficult directly. derived composites, has potential non-invasive measurements. applicable sea ice, porous rock, other materials.