Finite element modelling of radial shock wave therapy for chronic plantar fasciitis

References

• Baz̆ant ZP. 1978. Spurious reflection of elastic waves in nonuniform finite element grids. Comput Methods Appl Mech Eng. 16:91–100.10.1016/0045-7825(78)90035-X
   Web of Science ®Google Scholar
• Benoit M, Giovanola J, Curnier A, Agbeviade K, Donnet M. 2009. Characterization of pressure wave propagation in biological tissues. In: DYMAT 2009 – 9th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading, vol. 1. 2009. [ Internet]. [cited 2015 Sept 08]. Available from: http://www.dymat-proceedings.org/articles/dymat/abs/2009/01/dymat09124/dymat09124.html
   Google Scholar
• Chang KV, Chen SY, Chen WS, Tu YK, Chien KL. 2012. Comparative effectiveness of focused shock wave therapy of different intensity levels and radial shock wave therapy for treating plantar fasciitis: a systematic review and network meta-analysis. Arch Phys Med Rehabil. 93:1259–1268.10.1016/j.apmr.2012.02.023
   PubMed Web of Science ®Google Scholar
• Cheung JT, An KN, Zhang M. 2006. Consequences of partial and total plantar fascia release: a finite element study. Foot Ankle Int. 27:125–132.
   PubMed Web of Science ®Google Scholar
• Chow IH, Cheing GL. 2007. Comparison of different energy densities of extracorporeal shock wave therapy (ESWT) for the management of chronic heel pain. Clin Rehabil. 21:131–141.10.1177/0269215506069244
   PubMed Web of Science ®Google Scholar
• Cleveland RO, Chitnis PV, McClure SR. 2007. Acoustic field of a ballistic shock wave therapy device. Ultrasound Med Biol. 33:1327–1335.10.1016/j.ultrasmedbio.2007.02.014
   PubMed Web of Science ®Google Scholar
• Cleveland RO, Sapozhnikov OA. 2005. Modeling elastic wave propagation in kidney stones with application to shock wave lithotripsy. J Acoust Soc Am. 118:2667–2676.10.1121/1.2032187
   PubMed Web of Science ®Google Scholar
• Coleman AJ, Kodama T, Choi MJ, Adams T, Saunders JE. 1995. The cavitation threshold of human tissue exposed to 0.2-MHz pulsed ultrasound: preliminary measurements based on a study of clinical lithotripsy. Ultrasound Med Biol. 21:405–417.10.1016/0301-5629(94)00116-U
   PubMed Web of Science ®Google Scholar
• Crawford F, Atkins D, Edwards J. 2002. Interventions for treating plantar heel pain. The Foot. 11:228–250.
   Google Scholar
• Delius M, Draenert K, Al Diek Y, Draenert Y. 1995. Biological effects of shock waves: in vivo effect of high energy pulses on rabbit bone. Ultrasound Med Biol. 21:1219–1225.10.1016/0301-5629(95)00030-5
   PubMed Web of Science ®Google Scholar
• Fagnan, K. 2010. High resolution finite volume methods for extracorporeal shock wave therapy [ Ph.D. thesis]. Seattle (WA): University of Washington.
   Google Scholar
• Furia J, Rompe J. 2007. Extracorporeal shock wave therapy in the treatment of chronic plantar fasciitis and Achilles tendinopathy. Curr Opin Orthop. 18:102–111.10.1097/BCO.0b013e328013e594
   Google Scholar
• Goske S, Erdemir A, Petre M, Budhabhatti S, Cavanagh PR. 2006. Reduction of plantar heel pressures: insole design using finite element analysis. J Biomech. 39:2363–2370.10.1016/j.jbiomech.2005.08.006
   PubMed Web of Science ®Google Scholar
• Halquist. 2003. LS-DYNA keyword user’s manual: version 970. Livermore (CA): Livermore Software Technology.
   Google Scholar
• Ham S, Bathe KJ. 2012. A finite element method enriched for wave propagation problems. Comput Struct. 94–95:1–12.
   Web of Science ®Google Scholar
• Jacob S, Patil MK. 1999. Three-dimensional foot modeling and analysis of stresses in normal and early stage Hansen’s disease with muscle paralysis. J Rehabil Res Dev. 36:252–263.
   PubMed Web of Science ®Google Scholar
• League AC. 2008. Current concepts review: plantar fasciitis. Foot Ankle Int. 29:358–366.10.3113/FAI.2008.0358
   PubMed Web of Science ®Google Scholar
• Lemmon D, Shiang TY, Hashmi A, Ulbrecht J, Cavanagh P. 1997. The effect of insole in therapeutic footwear – a finite element approach. J Biomech. 30:615–620.10.1016/S0021-9290(97)00006-7
   PubMed Web of Science ®Google Scholar
• Liao C, Huang W, Wang Y, Suo S, Liu Y. 2013. Fluid-solid interaction model for hydraulic reciprocating O-ring seals. Chin J Mech Eng. 26:85–94.10.3901/CJME.2013.01.085
   Web of Science ®Google Scholar
• McClure S, Dorfmüller C. 2003. Extracorporeal shock wave therapy: theory and equipment. Clin Tech Equine Pract. 2:348–357.10.1053/j.ctep.2004.04.008
   Google Scholar
• Murata R, Nakagawa K, Ohtori S, Ochiai N, Arai M, Saisu T, Sasho T, Takahashi K, Moriya H. 2007. The effects of radial shock waves on gene transfer in rabbit chondrocytes in vitro. Osteoarthr Cartil. 15:1275–1282.10.1016/j.joca.2007.04.001
   PubMed Web of Science ®Google Scholar
• Ogden JA, Toth-Kischkat A, Schultheiss R. 2001. Principles of shock wave therapy. Clin Orthop Relat Res. 387:8–17.10.1097/00003086-200106000-00003
   PubMed Web of Science ®Google Scholar
• Ohtori S, Inoue G, Mannoji C, Saisu T, Takahashi K, Mitsuhashi S, Wada Y, Takahashi K, Yamagata M, Moriya H. 2001. Shock wave application to rat skin induces degeneration and reinnervation of sensory nerve fibres. Neurosci Lett. 315:57–60.10.1016/S0304-3940(01)02320-5
   PubMed Web of Science ®Google Scholar
• Rome K, Saxelby J. 2005. Critical review: assessment and management of plantar fasciitis. Br J Podiatry. 8:2–15.
   Google Scholar
• Rompe JD, Furia J, Weil L, Maffulli N. 2007. Shock wave therapy for chronic plantar fasciopathy. Br Med Bull. 81–82:183–208.10.1093/bmb/ldm005
   PubMed Web of Science ®Google Scholar
• Shin J, Yue N, Untaroiu CD. 2012. A finite element model of the foot and ankle for automotive impact applications. Ann Biomed Eng. 40:2519–2531.10.1007/s10439-012-0607-3
   PubMed Web of Science ®Google Scholar
• Tamma R, Dell’Endice S Notarnicola, A, Moretti L, Patella, S Patella, V, Zallone A, Moretti, B. 2009. Extracorporeal shock waves stimulate osteoblast activities. Ultrasound Med Biol. 35: 2093–2100.10.1016/j.ultrasmedbio.2009.05.022
   PubMed Web of Science ®Google Scholar
• Tao K, Wang D, Wang X, Liu A, Nester C, Howard D. 2009. An in vivo experimental validation of a computational model of human foot. J Bionic Eng. 6:387–397.10.1016/S1672-6529(08)60138-9
   Web of Science ®Google Scholar
• Ueberle F, Rad AJ. 2012. Ballistic pain therapy devices: measurement of pressure pulse parameters. Biomed Tech. 57:700–7003.
   Google Scholar
• Verdejo R, Mills NJ. 2002. Performance of EVA foam in running shoes. The Engineering of Sport. 4:580–587.
   Google Scholar
• Wang CJ. 2012. Extracorporeal shockwave therapy in musculoskeletal disorders. J Orthop Surg Res. [ Internet]. [cited 2015 Sept 08]. Available from: http://www.josr-online.com/content/7/1/1110.1186/1749-799X-7-11
   PubMed Web of Science ®Google Scholar
• Wess O. 2008. Physics and technology of shock wave and pressure wave therapy [Internet]. 2008–2015. Tägerwilen: Storz Medical; [cited 2015 Jul 14]. Available from: http://eswt.net/pdfs/Physics-of-SWT-and-PWT.pdf.
   Google Scholar