This work is licensed under the Creative Commons Attribution 4.0 International License.
Graber T, Rakosi T, Petrovic A. Dentofacial orthopedics with functional appliances St. Louis: Published by the CV Mosby Co.; 1985, 1986.GraberTRakosiTPetrovicA. St. Louis: Published by the CV Mosby Co.; 1985, 1986.Search in Google Scholar
Gianelly AA, Arena SA, Bernstein L. A comparison of Class II treatment changes noted with the light wire, edgewise, and Fränkel appliances.. Am J Orthod 1984;86:269–276.GianellyAAArenaSABernsteinL. A comparison of Class II treatment changes noted with the light wire, edgewise, and Fränkel appliances.. 1984;86:269–276.10.1016/0002-9416(84)90137-46592975Search in Google Scholar
Forsberg C-M, Odenrick L. Skeletal and soft tissue response to activator treatment. Eur J Orthod 1981;3:247–253.ForsbergC-MOdenrickL. Skeletal and soft tissue response to activator treatment. 1981;3:247–253.10.1093/ejo/3.4.2476945995Search in Google Scholar
Wieslander L, Lagerström L. The effect of activator treatment on class II malocclusions. Am J Orthod 1979;75:20–26.WieslanderLLagerströmL. The effect of activator treatment on class II malocclusions. 1979;75:20–26.10.1016/0002-9416(79)90136-2283692Search in Google Scholar
Pancherz H. A cephalometric analysis of skeletal and dental changes contributing to Class II correction in activator treatment. Am J Orthod 1984;85:125–134.PancherzH. A cephalometric analysis of skeletal and dental changes contributing to Class II correction in activator treatment. 1984;85:125–134.10.1016/0002-9416(84)90004-66594053Search in Google Scholar
Vargervik K, Harvold EP. Response to activator treatment in Class II malocclusions. Am J Orthod 1985;88:242–251.VargervikKHarvoldEP. Response to activator treatment in Class II malocclusions. 1985;88:242–251.10.1016/S0002-9416(85)90219-2Search in Google Scholar
Pancherz H, Malmgren O, Hägg U, Ömblus J, Hansen K. Class II correction in Herbst and Bass therapy. Eur J Orthod1989;11:17–30.PancherzHMalmgrenOHäggUÖmblusJHansenK. Class II correction in Herbst and Bass therapy. 1989;11:17–30.10.1093/oxfordjournals.ejo.a0359602714389Search in Google Scholar
McNamara JAJr, Bookstein FL, Shaughnessy TG. Skeletal and dental changes following functional regulator therapy on class II patients. Am J Orthod 1985;88:91–110.McNamaraJAJrBooksteinFLShaughnessyTG. Skeletal and dental changes following functional regulator therapy on class II patients. 1985;88:91–110.10.1016/0002-9416(85)90233-73861103Search in Google Scholar
McNamara JAJr, Bryan FA. Long-term mandibular adaptations to protrusive function: an experimental study in Macaca mulatta. Am J Orthod Dentofacial Orthop 1987;92:98–108.McNamaraJAJrBryanFA. Long-term mandibular adaptations to protrusive function: an experimental study in Macaca mulatta. 1987;92:98–108.10.1016/0889-5406(87)90364-73475974Search in Google Scholar
Basciftci FA, Uysal T, Büyükerkmen A, Sari Z. The effects of activator treatment on the craniofacial structures of Class II division 1 patients. Eur J Orthod 2003;25:87–93.BasciftciFAUysalTBüyükerkmenASariZ. The effects of activator treatment on the craniofacial structures of Class II division 1 patients. 2003;25:87–93.10.1093/ejo/25.1.8712608728Search in Google Scholar
Birkebaek L, Melsen B, Terp S. A laminagraphic study of the alterations in the temporo-mandibular joint following activator treatment. Eur J Orthod 1984;6:257–266.BirkebaekLMelsenBTerpS. A laminagraphic study of the alterations in the temporo-mandibular joint following activator treatment. 1984;6:257–266.10.1093/ejo/6.4.2576595119Search in Google Scholar
Luder HU. Skeletal profile changes related to two patterns of activator effects. Am J Orthod 1982;81:390–396.LuderHU. Skeletal profile changes related to two patterns of activator effects. 1982;81:390–396.10.1016/0002-9416(82)90076-86960725Search in Google Scholar
Cozza P, De Toffol L, Colagrossi S. Dentoskeletal effects and facial profile changes during activator therapy. Eur J Orthod 2004;26:293–302.CozzaPDe ToffolLColagrossiS. Dentoskeletal effects and facial profile changes during activator therapy. 2004;26:293–302.10.1093/ejo/26.3.29315222715Search in Google Scholar
Ruttimann UE, Ship JA. The use of fractal geometry to quantitate bone-structure from radiographs. J Dent Res 1990;69 (1 Suppl 287).RuttimannUEShipJA. The use of fractal geometry to quantitate bone-structure from radiographs. 1990;69 (1 Suppl 287).Search in Google Scholar
Pothuaud L, Benhamou CL, Porion P, Lespessailles E, Harba R, Levitz P. Fractal dimension of trabecular bone projection texture is related to three-dimensional microarchitecture. J Bone Miner Res 2000;15:691–699.PothuaudLBenhamouCLPorionPLespessaillesEHarbaRLevitzP. Fractal dimension of trabecular bone projection texture is related to three-dimensional microarchitecture. 2000;15:691–699.10.1359/jbmr.2000.15.4.69110780861Search in Google Scholar
Ruttimann UE, Webber RL, Hazelrig JB. Fractal dimension from radiographs of peridental alveolar bone. A possible diagnostic indicator of osteoporosis. Oral Surg Oral Med Oral Pathol 1992;74:98–110.RuttimannUEWebberRLHazelrigJB. Fractal dimension from radiographs of peridental alveolar bone. A possible diagnostic indicator of osteoporosis. 1992;74:98–110.10.1016/0030-4220(92)90222-C1508517Search in Google Scholar
Jurczyszyn K, Kubasiewicz-Ross P, Nawrot-Hadzik I, Gedrange T, Dominiak M, Hadzik J. Fractal dimension analysis a supplementary mathematical method for bone defect regeneration measurement. Ann Anat 2018;219:83–88, doi: 10.1016/j.aanat.2018.06.003.JurczyszynKKubasiewicz-RossPNawrot-HadzikIGedrangeTDominiakMHadzikJ. Fractal dimension analysis a supplementary mathematical method for bone defect regeneration measurement. 2018;219:83–88, doi: 10.1016/j.aanat.2018.06.003.29964159Open DOISearch in Google Scholar
Coşgunarslan A, Canger EM, Soydan Çabuk D, Kış HC. The evaluation of the mandibular bone structure changes related to lactation with fractal analysis. Oral Radiol 2020;36:238–247, doi: 10.1007/s11282-019-00400-6.CoşgunarslanACangerEMSoydan ÇabukDKışHC. The evaluation of the mandibular bone structure changes related to lactation with fractal analysis. 2020;36:238–247, doi: 10.1007/s11282-019-00400-6.31350719Open DOISearch in Google Scholar
Updike SX, Nowzari H. Fractal analysis of dental radiographs to detect periodontitis-induced trabecular changes. J Periodontal Res 2008;43:658–664, doi: 10.1111/j.1600-0765.2007.01056.x.UpdikeSXNowzariH. Fractal analysis of dental radiographs to detect periodontitis-induced trabecular changes. 2008;43:658–664, doi: 10.1111/j.1600-0765.2007.01056.x.18624949Open DOISearch in Google Scholar
Wical KE, Swoope CC. Studies of residual ridge resorption. I. Use of panoramic radiographs for evaluation and classification of mandibular resorption. J Prosthet Dent 1974;32:7–12.WicalKESwoopeCC. Studies of residual ridge resorption. I. Use of panoramic radiographs for evaluation and classification of mandibular resorption. 1974;32:7–12.10.1016/0022-3913(74)90093-64525507Search in Google Scholar
Cesur E, Bayrak S, Kursun-Çakmak E, Arslan C, Köklü A, Orhan K. Evaluating the effects of functional orthodontic treatment on mandibular osseous structure using fractal dimension analysis of dental panoramic radiographs. Angle Orthod 2020;90:783–793.CesurEBayrakSKursun-ÇakmakEArslanCKöklüAOrhanK. Evaluating the effects of functional orthodontic treatment on mandibular osseous structure using fractal dimension analysis of dental panoramic radiographs. 2020;90:783–793.10.2319/012020-39.1802843633378509Search in Google Scholar
White SC, Rudolph DJ. Alterations of the trabecular pattern of the jaws in patients with osteoporosis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 1999;88:628–635.WhiteSCRudolphDJ. Alterations of the trabecular pattern of the jaws in patients with osteoporosis. 1999;88:628–635.10.1016/S1079-2104(99)70097-1Search in Google Scholar
Tümer N, Gültan AS. Comparison of the effects of monoblock and twin-block appliances on the skeletal and dentoalveolar structures. Am J Orthod Dentofacial Orthoped 1999;116:460–468.TümerNGültanAS. Comparison of the effects of monoblock and twin-block appliances on the skeletal and dentoalveolar structures. 1999;116:460–468.10.1016/S0889-5406(99)70233-710511676Search in Google Scholar
Fazzalari NL, Parkinson IH. Fractal properties of subchondral cancellous bone in severe osteoarthritis of the hip. J Bone Miner Res 1997;12:632–640.FazzalariNLParkinsonIH. Fractal properties of subchondral cancellous bone in severe osteoarthritis of the hip. 1997;12:632–640.10.1359/jbmr.1997.12.4.6329101375Search in Google Scholar
Majumdar S, Lin J, Link T, Millard J, Augat P, Ouyang X. Fractal analysis of radiographs: assessment of trabecular bone structure and prediction of elastic modulus and strength. Med Phys 1999;26:1330–1340.MajumdarSLinJLinkTMillardJAugatPOuyangX. Fractal analysis of radiographs: assessment of trabecular bone structure and prediction of elastic modulus and strength. 1999;26:1330–1340.10.1118/1.59862810435535Search in Google Scholar
Caligiuri P, Giger ML, Favus M. Multifractal radiographic analysis of osteoporosis. Med Phys 1994;21:503–508.CaligiuriPGigerMLFavusM. Multifractal radiographic analysis of osteoporosis. 1994;21:503–508.10.1118/1.5973908058015Search in Google Scholar
Arsan B, Köse TE, Çene E, Özcan İ. Assessment of the trabecular structure of mandibular condyles in patients with temporomandibular disorders using fractal analysis. Oral Surg Oral Med Oral Pathol Oral Radiol 2017;123:382–391.ArsanBKöseTEÇeneEÖzcanİ. Assessment of the trabecular structure of mandibular condyles in patients with temporomandibular disorders using fractal analysis. 2017;123:382–391.10.1016/j.oooo.2016.11.00528110941Search in Google Scholar
Rothe LE, Bollen AM, Little RM, Herring SW, Chaison JB, Chen CS. Trabecular and cortical bone as risk factors for orthodontic relapse. Am J Orthod Dentofacial Orthoped 2006;130:476–484.RotheLEBollenAMLittleRMHerringSWChaisonJBChenCS. Trabecular and cortical bone as risk factors for orthodontic relapse. 2006;130:476–484.10.1016/j.ajodo.2005.03.02317045147Search in Google Scholar
Heo MS, Park KS, Lee SS, Choi SC, Koak JY, Heo SJ. Fractal analysis of mandibular bony healing after orthognathic surgery. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2002;94:763–767.HeoMSParkKSLeeSSChoiSCKoakJYHeoSJ. Fractal analysis of mandibular bony healing after orthognathic surgery. 2002;94:763–767.10.1067/moe.2002.12897212464904Search in Google Scholar
Akbulut S, Bayrak S, Korkmaz YN. Prediction of rapid palatal expansion success via fractal analysis in hand-wrist radiographs. Am J Orthod Dentofacial Orthop 2020;158:192–198, doi: 10.1016/j.ajodo.2019.07.018.AkbulutSBayrakSKorkmazYN. Prediction of rapid palatal expansion success via fractal analysis in hand-wrist radiographs. 2020;158:192–198, doi: 10.1016/j.ajodo.2019.07.018.32471664Open DOISearch in Google Scholar
Ok U, Kaya TU. Fractal perspective on the rapid maxillary expansion treatment; evaluation of the relationship between midpalatal suture opening and dental effects. J Stomatol Oral Maxillofac Surg. 2021; 123:422-8; S2468-7855(21)00188-9. doi: 10.1016/j.jormas.2021.09.002.OkUKayaTU. Fractal perspective on the rapid maxillary expansion treatment; evaluation of the relationship between midpalatal suture opening and dental effects. 2021; 123:422-8; S2468-7855(21)00188-9. doi: 10.1016/j.jormas.2021.09.002.34507004Open DOISearch in Google Scholar
Amuk M, Gul Amuk N, Yılmaz S. Treatment and posttreatment effects of Herbst appliance therapy on trabecular structure of the mandible using fractal dimension analysis. Eur J Orthod. 2021;44:125-33:cjab048. doi: 10.1093/ejo/cjab048.AmukMGul AmukNYılmazS. Treatment and posttreatment effects of Herbst appliance therapy on trabecular structure of the mandible using fractal dimension analysis. 2021;44:125-33:cjab048. doi: 10.1093/ejo/cjab048.34320187Open DOISearch in Google Scholar