1. Mandelbrot BB. The fractal geometry of nature. 1983. 3rd ed. New York: Freeman Publishing.
2. Mandelbrot BB. Peitgen HO, Jurgens H, Saupe D, editors. Length, area and dimensions: measuring complexity and scaling properties. Chaos and fractals. 1992. 1st ed. New York: Springer-Verlag Publishing;173–214.
3. Podsiadlo P, Dahl L, Englund M, Lohmander LS, Stachowiak GW. Differences in trabecular bone texture between knees with and without radiographic osteoarthritis detected by fractal methods. Osteoarthritis Cartilage. 2008. 16:323–329.
Article
4. Prouteau S, Ducher G, Nanyan P, Lemineur G, Benhamou L, Courteix D. Fractal analysis of bone texture: a screening tool for stress fracture risk? Eur J Clin Invest. 2004. 34:137–142.
Article
5. Lespessailles E, Poupon S, Niamane R, Loiseau-Peres S, Derommelaere G, Harba R, et al. Fractal analysis of trabecular bone texture on calcaneus radiographs: effects of age, time since menopause and hormone replacement therapy. Osteoporos Int. 2002. 13:366–372.
Article
6. Cha SY, Han WJ, Kim EK. Usefulness of fractal analysis for the diagnosis of periodontitis. Korean J Oral Maxillofac Radiol. 2001. 31:35–42.
7. Rothe LE, Bollen AM, Little RM, Herring SW, Chaison JB, Chen CS, et al. Trabecular and cortical bone as risk factors for orthodontic relapse. Am J Orthod Dentofacial Orthop. 2006. 130:476–484.
Article
8. Wagle N, Do NN, Yu J, Borke JL. Fractal analysis of the PDL-bone interface and implications for orthodontic tooth movement. Am J Orthod Dentofacial Orthop. 2005. 127:655–661.
Article
9. Jolley L, Majumdar S, Kapila S. Technical factors in fractal analysis of periapical radiographs. Dentomaxillofac Radiol. 2006. 35:393–397.
Article
10. Frost HM. The regional accelerated phenomenon. Orthop Clin North Am. 1981. 12:725–726.
11. Frost HM. The regional acceleratory phenomenon: a review. Henry Ford Hosp Med J. 1983. 31:3–9.
12. Frost HM. The biology of fracture healing. An overview for clinicians. Part I. Clin Orthop Relat Res. 1989. 248:283–293.
13. Frost HM. Skeletal structural adaptations to mechanical usage (SATMU): 2. Redefining Wolff's law: the remodeling problem. Anat Rec. 1990. 226:414–422.
Article
14. Park WK, Kim SS, Park SB, Son WS, Kim YD, Jun ES, et al. The effect of cortical punching on the expression of OPG, RANK, and RANKL in the periodontal tissue during tooth movement in rats. Korean J Orthod. 2008. 38:159–174.
Article
15. Gwack C, Kim SS, Park SB, Son WS, Kim YD, Jun ES, et al. The expression of MMP-1, -8, and -13 mRNA in the periodontal ligament of rats during tooth movement with cortical punching. Korean J Orthod. 2008. 38:187–201.
Article
16. Verna C, Zaffe D, Siciliani G. Histomorphometric study of bone reactions during orthodontic tooth movement in rats. Bone. 1999. 24:371–379.
Article
17. Melsen B. Biological reaction of alveolar bone to orthodontic tooth movement. Angle Orthod. 1999. 69:151–158.
18. 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.
Article
19. 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.
20. Ellis E 3rd, Carlson DS, Billups J. Osseous healing of the sagittal ramus osteotomy: a histologic comparison of rigid and nonrigid fixation in Macaca mulatta. J Oral Maxillofac Surg. 1992. 50:718–723.
Article
21. Heo MS, Park KS, Lee SS, Choi SC, Koak JY, Heo SJ, et al. Fractal analysis of mandibular bony healing after orthognathic surgery. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2002. 94:763–767.
Article
22. Schilling T, Muller M, Minne HW, Ziegler R. Influence of inflammation-mediated osteopenia on the regional acceleratory phenomenon and the systemic acceleratory phenomenon during healing of a bone defect in the rat. Calcif Tissue Int. 1998. 63:160–166.
Article
23. Miloro M, Ghali GE, Larsen PE, Waite PD. Peterson's principles of oral and maxillofacial surgery. 2004. 2nd ed. Hamilton: BC Decker Publishing;1259–1260.
24. Miloro M, Ghali GE, Larsen PE, Waite PD. Peterson's principles of oral and maxillofacial surgery. 2004. 2nd ed. Hamilton: BC Decker Publishing;1133–1134.