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Numerical models of healing long bones are established based on scanning acoustic microscopy images from successive postoperative weeks considering the effect of the nonhomogeneous callus structure. More specifically, the scattering amplitude and the acoustic pressure variation are calculated in the backward direction to investigate their potential to serve as quantitative and qualitative indicators for the monitoring of the bone healing process. The role of the excitation frequency is also examined considering frequencies in the range 0.2\u20131\u2009MHz. The results indicate that the scattering amplitude decreases at later stages of healing compared to earlier stages of healing. Also, the acoustic pressure could provide supplementary qualitative information on the interaction of the scattered energy with bone and callus.<\/jats:p>","DOI":"10.1121\/1.4998722","type":"journal-article","created":{"date-parts":[[2017,8,16]],"date-time":"2017-08-16T17:03:47Z","timestamp":1502903027000},"page":"962-973","update-policy":"http:\/\/dx.doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":3,"title":["Numerical evaluation of the backward propagating acoustic field in healing long bones"],"prefix":"10.1121","volume":"142","author":[{"given":"Vassiliki T.","family":"Potsika","sequence":"first","affiliation":[{"name":"Unit of Medical Technology and Intelligent Information Systems, Department of Materials Science and Engineering, University of Ioannina 1 , GR 45110 Ioannina, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vasilios C.","family":"Protopappas","sequence":"additional","affiliation":[{"name":"Unit of Medical Technology and Intelligent Information Systems, Department of Materials Science and Engineering, University of Ioannina 1 , GR 45110 Ioannina, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konstantinos N.","family":"Grivas","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering and Aeronautics 2 , , GR 26500 Patras, Greece"},{"name":"University of Patras 2 , , GR 26500 Patras, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Theodoros V.","family":"Gortsas","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering and Aeronautics 2 , , GR 26500 Patras, Greece"},{"name":"University of Patras 2 , , GR 26500 Patras, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kay","family":"Raum","sequence":"additional","affiliation":[{"name":"Berlin-Brandenburg School for Regenerative Therapies, Charit\u00e9-Universit\u00e4tsmedizin Berlin 3 , AugustenburgerPlatz 1, 13353 Berlin, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Demosthenes K.","family":"Polyzos","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering and Aeronautics 2 , , GR 26500 Patras, Greece"},{"name":"University of Patras 2 , , GR 26500 Patras, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dimitrios I.","family":"Fotiadis","sequence":"additional","affiliation":[{"name":"Unit of Medical Technology and Intelligent Information Systems, Department of Materials Science and Engineering, University of Ioannina 1 , GR 45110 Ioannina, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"231","published-online":{"date-parts":[[2017,8,16]]},"reference":[{"key":"2024031517275168300_c1","doi-asserted-by":"publisher","first-page":"3443","DOI":"10.1121\/1.1810273","article-title":"An iterative effective medium approximation for wave dispersion and attenuation predictions in particulate composites, suspensions and emulsions","volume":"116","year":"2004","journal-title":"J. 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