[1] M.E.J. Curzon, A.J. Preston, Risk groups: Nursing bottle caries/caries in the elderly, Caries Res. 38 (2004) 24–33.
[2] I.B. Lamster, L. Asadourian, T. Del Carmen, P.K. Friedman, The aging mouth: differentiating normal aging from disease, Periodontol. 2000. 72 (2016) 96–107.
[3] N. Takahashi, B. Nyvad, Ecological hypothesis of dentin and root caries, Caries Res. 50 (2016) 422–431.
[4] R.J. Wierichs, H. Meyer-Lueckel, Systematic review on noninvasive treatment of root caries lesions, J. Dent. Res. 94 (2015) 261–271.
[5] I. Bignozzi, A. Crea, D. Capri, C. Littarru, C. Lajolo, D.N. Tatakis, Root caries: A periodontal perspective, J. Periodontal Res. 49 (2014) 143–163.
[6] J. Hicks, F. Garcia-Godoy, C. Flaitz, Biological factors in dental caries enamel structure and the caries process in the dynamic process of demineralization and remineralization (part 2), J. Clin. Pediatr. Dent. 28 (2004) 119–124.
[7] R. Lefèvre, R.M. Frank, J.C. Voegel, The study of human dentine with secondary ion microscopy and electron diffraction, Calcif. Tissue Res. 19 (1975) 251–261.
[8] N.B. Pitts, D.T. Zero, P.D. Marsh, K. Ekstrand, J.A. Weintraub, F. Ramos-Gomez, J. Tagami, S. Twetman, G. Tsakos, A. Ismail, Dental caries, Nat. Rev. Dis. Prim. 3 (2017) 17030.
[9] I.A. Pretty, R.P. Ellwood, The caries continuum: Opportunities to detect, treat and monitor the re-mineralization of early caries lesions, J. Dent. 41 (2013) S12–S21.
[10] A. Linde, M. Goldberg, Dentinogenesis, Crit. Rev. Oral Biol. Med. 4 (1993) 679–728.
[11] D.H. Pashley, Dynamics of the pulpo-dentin complex, Crit. Rev. Oral Biol. Med. 7 (1996) 104–133.
[12] W.E. Brown, Crystal growth of bone mineral, Clin. Orthop. Relat. Res. 44 (1966) 205– 20
[13] E.D. Pellegrino, R.M. Biltz, Mineralization in the chick embryo. I. Monohydrogen phosphate and carbonate relationships during maturation of the bone crystal complex. Calcif. Tissue Res. 10 (1972) 128–135.
[14] J.D. Termine, E.D. Eanes, Comparative chemistry of amorphous and apatitic calcium phosphate preparations, Calcif. Tissue Res. 10 (1972) 171–197.
[15] M.S. Tung, F.C. Eichmiller, Amorphous calcium phosphates for tooth mineralization. Compend. Contin. Educ. Dent. 25 (2004) 9–13.
[16] M.D. Francis, Solubility behavior of dental enamel and other calcium phosphates, Ann. N. Y. Acad. Sci. 131 (1965) 694–712.
[17] R.S. Levine, Remineralization of human carious dentine in vitro, Arch. Oral Biol. 17 (1972) 1005–1008.
[18] P. Houllé, J.C. Voegel, P. Schultz, P. Steuer, F.J.G. Cuisinier, High resolution electron microscopy: Structure and growth mechanisms of human dentin crystals, J. Dent. Res. 76 (1997) 895–904.
[19] P. Bodier-Houllé, P. Steuer, J.C. Voegel, F.J.G. Cuisinier, First experimental evidence for human dentine crystal formation involving conversion of octacalcium phosphate to hydroxyapatite, Acta Crystallogr. Sect. D Biol. Crystallogr. 54 (1998) 1377–1381.
[20] R.A. Young, S. Spooner, Neutron diffraction studies of human tooth enamel, Arch. Oral Biol. 15 (1970) 47–63.
[21] E.L. Lakomaa, I. Rytömaa, Mineral composition of enamel and dentin of primary and permanent teeth in Finland., Scand. J. Dent. Res. 85 (1977) 89–95.
[22] G. Penel, G. Leroy, C. Rey, E. Bres, MicroRaman spectral study of the PO4 and CO3 vibrational modes in synthetic and biological apatites, Calcif. Tissue Int. 63 (1998) 475– 481.
[23] N.L. Derise, S.J. Ritchey, Mineral composition of normal human enamel and dentin and the relation of composition to dental caries: II. Microminerals, J. Dent. Res. 53 (1974) 853–858.
[24] A.C. Fernández-Escudero, I. Legaz, G. Prieto-Bonete, M. López-Nicolás, A. MaurandiLópez, M.D. Pérez-Cárceles, Aging and trace elements in human coronal tooth dentine, Sci. Rep. 10 (2020) 1–14.
[25] S. Weiner, H.D. Wagner, The material bone: Structure-mechanical function relations, Annu. Rev. Mater. Sci. 28 (1998) 271–298.
[26] J.M. Ten Cate, Review on fluoride, with special emphasis on calcium fluoride mechanisms in caries prevention, Eur. J. Oral Sci. 105 (1997) 461–465.
[27] H.T. Dean, J. Francis A. Arnold, E. Elvove, Domestic Water and Dental Caries: V. Additional studies of the relation of fluoride domestic waters to dental caries experience in 4,425 white children, aged 12 to 14 years, of 13 cities in 4 states, Public Heal. Reports. 57 (1942) 1155–1179.
[28] M.S. McDonagh, J. Kleijnen, P.F. Whiting, P.M. Wilson, A.J. Sutton, I. Chestnutt, J. Cooper, K. Misso, M. Bradley, E. Treasure, Systematic review of water fluoridation, Br. Med. J. 321 (2000) 855–859.
[29] V.C.C. Marinho, J. Higgins, S. Logan, A. Sheiham (deceased), Fluoride toothpastes for preventing dental caries in children and adolescents, Cochrane Database Syst. Rev. (2003).
[30] D.M. O’Mullane, R.J. Baez, S. Jones, M.A. Lennon, P.E. Petersen, A.J. Rugg-Gunn, H. Whelton, G.M. Whitford, Fluoride and oral health, Community Dent. Health. 33 (2016) 69–99.
[31] H.P. Whelton, A.J. Spencer, L.G. Do, A.J. Rugg-Gunn, Fluoride revolution and dental caries: evolution of policies for global use, J. Dent. Res. 98 (2019) 837–846.
[32] W. Marcenes, N.J. Kassebaum, E. Bernabé, A. Flaxman, M. Naghavi, A. Lopez, C.J.L. Murray, Global burden of oral conditions in 1990-2010: A systematic analysis, J. Dent. Res. 92 (2013) 592–597.
[33] C. González-Cabezas, C.E. Fernández, Recent advances in remineralization therapies for caries lesions, Adv. Dent. Res. 29 (2018) 55–59.
[34] A. Lussi, T.S. Carvalho, The future of fluorides and other protective agents in erosion prevention, Caries Res. 49 (2015) 18–29.
[35] L.M. Gordon, M.J. Cohen, K.W. MacRenaris, J.D. Pasteris, T. Seda, D. Joester, Amorphous intergranular phases control the properties of rodent tooth enamel, Science. 347 (2015) 746–750.
[36] F. Lippert, Mechanistic observations on the role of the stannous ion in caries lesion deand remineralization, Caries Res. 50 (2016) 378–382.
[37] T. Takatsuka, J. Hirano, H. Matsumoto, T. Honma, X-Ray absorption fine structure analysis of the local environment of zinc in dentine treated with zinc compounds, Eur. J. Oral Sci. 113 (2005) 180–183.
[38] A. Ito, K. Ojima, H. Naito, N. Ichinose, T. Tateishi, Preparation, solubility, and cytocompatibility of zinc-releasing calcium phosphate ceramics, J. Biomed. Mater. Res. 50 (2000) 178–183.
[39] A. Ito, H. Kawamura, S. Miyakawa, P. Layrolle, N. Kanzaki, G. Treboux, K. Onuma, S. Tsutsumi, Resorbability and solubility of zinc-containing tricalcium phosphate, J. Biomed. Mater. Res. 60 (2002) 224–231.
[40] F. Miyaji, Y. Kono, Y. Suyama, Formation and structure of zinc-substituted calcium hydroxyapatite, Mater. Res. Bull. 40 (2005) 209–220.
[41] H.P. Wiesmann, T. Tkotz, U. Joos, K. Zierold, U. Stratmann, T. Szuwart, U. Plate, H.J. Höhling, Magnesium in newly formed mineral of rat incisor, J. Bone Miner. Res. 12 (1997) 380–383.
[42] F. Lippert, A.T. Hara, Strontium and caries: A long and complicated relationship, Caries Res. 47 (2013) 34–49.
[43] G. He, E.I. Pearce, C.H.M Sissons, Inhibitory effect of ZnCl2 on glycolysis in human oral microbes, Arch Oral Biol. 47 (2002) 117–129.
[44] M. Toledano, M. Yamauti, E. Osorio, R. Osorio, Zinc-inhibited MMP-mediated collagen degradation after different dentine demineralization procedures, Caries Res. 46 (2012) 201–207.
[45] T. Takatsuka, K. Tanaka, Y Iijima, Inhibition of dentine demineralization by zinc oxide: in vitro and in situ studies, Dent Mater. 21 (2005) 1170–1177.
[46] T. Yanagisawa, Y. Miake, High-resolution electron microscopy of enamel-crystal demineralization and remineralization in carious lesions, J. Electron Microsc. 52 (2003) 605–613.
[47] J. Xue, A.V. Zavgorodniy, B.J. Kennedy, M. V. Swain, W. Li, X-ray microdiffraction, TEM characterization and texture analysis of human dentin and enamel, J. Microsc. 251 (2013) 144–153.
[48] J.C. Voegel, R.M. Frank, Ultrastructural study of apatite crystal dissolution in human dentine and bone., J. Biol. Buccale. 5 (1977) 181–194.
[49] H. Nakahara, Electron microscopic studies of the lattice image and “central dark line” of crystallites in sound and carious human dentin., Josai Shika Daigaku Kiyo. 11 (1982) 209–215.
[50] M. Toledano, M. Toledano-Osorio, A.L. Medina-Castillo, M.T. López-López, F.S. Aguilera, R. Osorio, Ion-modified nanoparticles induce different apatite formation in cervical dentine, Int. Endod. J. 51 (2018) 1019–1029.
[51] H. Yamamoto, M. Nomachi, K. Yasuda, Y. Iwami, S. Ebisu, N. Yamamoto, T. Sakai, T. Kamiya, Fluorine mapping of teeth treated with fluorine-releasing compound using PIGE, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 210 (2003) 388–394.
[52] K. Yasuda, V.H. Hai, M. Nomachi, Y. Sugaya, H. Yamamoto, In-air micro-PIGE measurement system for fluorine analysis of the tooth, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 260 (2007) 207–212.
[53] H. Komatsu, H. Yamamoto, M. Nomachi, K. Yasuda, Y. Matsuda, Y. Murata, T. Kijimura, H. Sano, T. Sakai, T. Kamiya, Fluorine uptake into human enamel around a fluoride-containing dental material during cariogenic pH cycling, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 260 (2007) 201–206.
[54] H. Komatsu, H. Yamamoto, M. Nomachi, K. Yasuda, Y. Matsuda, M. Kinugawa, T. Kijimura, H. Sano, T. Satou, S. Oikawa, T. Kamiya, Fluorine uptake into human enamel around fluoride-containing dental materials during cariogenic pH cycling, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 267 (2009) 2136–2139.
[55] K. Okuyama, H. Komatsu, H. Yamamoto, P.N.R. Pereira, A.K. Bedran-Russo, M. Nomachi, T. Sato, H. Sano, Fluorine analysis of human dentin surrounding resin composite after fluoride application by μ-PIGE/PIXE analysis, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 269 (2011) 2269–2273.
[56] M. Yasuhiro, O. Katsushi, Y. Hiroko, K. Hisanori, K. Masashi, S. Takahiro, H. Naoki, O. Saiko, K. Chiharu, S. Hidehiko, Fluorine uptake into the human enamel surface from fluoride-containing sealing materials during cariogenic pH cycling, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 348 (2015) 156–159.
[57] D.C. Koningsberger, X-ray absorption: principles, applications, techniques of EXAFS, SEXAFS, and XANES, John Wiley and Sons, United States, 1988.
[58] F. De Groot, High-resolution X-ray emission and X-ray absorption spectroscopy, Chem. Rev. 101 (2001) 1779–1808.
[59] J.W. McLean, A.D. Wilson, Glass ionomer cements, Br. Dent. J. 196 (2004) 514–515.
[60] S.G. Griffin, R.G. Hill, Influence of glass composition on the properties of glass polyalkenoate cements. Part I: Influence of aluminium to silicon ratio, Biomaterials. 20 (1999) 1579–1586.
[61] K. Yagi, H. Yamamoto, R. Uemura, Y. Matsuda, K. Okuyama, T. Ishimoto, T. Nakano, M. Hayashi, Use of PIXE/PIGE for sequential Ca and F measurements in root carious model, Sci. Rep. 7 (2017) 13450.
[62] H. Komatsu, H. Yamamoto, Y. Matsuda, T. Kijimura, M. Kinugawa, K. Okuyama, M. Nomachi, K. Yasuda, T. Satoh, S. Oikawa, Fluorine analysis of human enamel around fluoride-containing materials under different pH-cycling by μ-PIGE/PIXE system, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 269 (2011) 2274–2277.
[63] S.O.F. Dababneh, K. Toukan, I. Khubeis, Excitation function of the nuclear reaction 19F(p, αγ)16O in the proton energy range 0.3-3.0 MeV, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 83 (1993) 319–324.
[64] T. Sakai, T. Kamiya, M. Oikawa, T. Sato, A. Tanaka, K. Ishii, JAERI Takasaki in-air micro-PIXE system for various applications, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms. 190 (2002) 271–275.
[65] R Core Team, R: A Language and Environment for Statistical Computing, (2019) https://www.r-project.org/.
[66] H. Wickham, ggplot2: Elegant Graphics for Data Analysis, Springer-Verlag New York, (2016) https://ggplot2.tidyverse.org.
[67] K. Matsunaga, H. Murata, T. Mizoguchi, Atsushi Nakahira, Mechanism of incorporation of zinc into hydroxyapatite, Acta Biomater. 6 (2010) 2289–2293.
[68] D.A. Shirley, High-resolution x-ray photoemission spectrum of the valence bands of gold, Phys. Rev. B. 5 (1972) 4709–4714.
[69] Y. Kuwahara, Y. Yoshimura, K. Haematsu, H. Yamashita, Mild deoxygenation of sulfoxides over plasmonic molybdenum oxide hybrid with dramatic activity enhancement under visible light, J. Am. Chem. Soc. 140 (2018) 9203–9210.
[70] B. Ravel, M. Newville, ATHENA, ARTEMIS, HEPHAESTUS: data analysis for X-ray absorption spectroscopy using IFEFFIT, J. Synchrotron Radiat. 12 (2005) 537–541.
[71] Y. Xu, M. Yamazaki, P. Villars, Inorganic materials database for exploring the nature of material, Jpn. J. Appl. Phys. 50 (2011) 11RH02.
[72] J.J. Rehr, R.C. Albers, Theoretical approaches to x-ray absorption fine structure, Rev. Mod. Phys. 72 (2000) 621–654.
[73] K. Matsunaga, First-principles study of substitutional magnesium and zinc in hydroxyapatite and octacalcium phosphate, J. Chem. Phys. 128 (2008) 245101.
[74] 長村 光造, 材料組織学, 朝倉書店, 東京, (1991) 63-65.
[75] J.M. Wilson, B.W. Fry, R.E. Walton, L.P. Gangarosa, Fluoride levels in dentin after iontophoresis of 2% NaF, J. Dent. Res. 63 (1984) 897–900.
[76] C.T. Coffey, M.J. Ingram, A.M. Bjorndal, Analysis of human dentinal fluid, Oral Surgery, Oral Med. Oral Pathol. 30 (1970) 835–837.
[77] H. Yamamoto, Y. Iwami, T. Unezaki, Y. Tomii, S. Ebisu, Fluoride uptake in human teeth from fluoride-releasing restorative material in vivo and in vitro: two-dimensional mapping by EPMA-WDX, Caries Res. 35 (2001) 111–115.
[78] K. Matsunaga, H. Murata, Strontium substitution in bioactive calcium phosphates: A first-principles study, J. Phys. Chem. B. 113 (2009) 3584–3589.
[79] K. Sudarsanan, R.A. Young, Structure of strontium hydroxide phosphate, Sr5(PO4)3OH , Acta Crystallogr. Sect. B Struct. Crystallogr. Cryst. Chem. 28 (1972) 3668–3670.
[80] F. Ren, R. Xin, X. Ge, Y. Leng, Characterization and structural analysis of zincsubstituted hydroxyapatites, Acta Biomater. 5 (2009) 3141–3149.
[81] R.Z. LeGeros, C.B. Bleiwas, M. Retino, R. Rohanizadeh, J.P. LeGeros, Zinc effect on the in vitro formation of calcium phosphates: relevance to clinical inhibition of calculus formation., Am. J. Dent. 12 (1999) 65–71.
[82] A. Bigi, E. Foresti, M. Gandolfi, M. Gazzano, N. Roveri, Isomorphous substitutions in β-tricalcium phosphate: The different effects of zinc and strontium, J. Inorg. Biochem. 66 (1997) 259–265.
[83] X. Zhao, Y. Zhu, Z. Zhu, Y. Liang, Y. Niu, J. Lin, Characterization, dissolution, and solubility of Zn-substituted hydroxylapatites [(ZnxCa1−x)5(PO4)3OH] at 25 °C, J. Chem. 2017 (2017) 4619159.
[84] M. Hayashi, E.V. Koychev, K. Okamura, A. Sugeta, C. Hongo, K. Okuyama, S. Ebisu, Heat treatment strengthens human dentin, J. Dent. Res. 87 (2008) 762–766.
[85] J.D. Termine, R.A. Peckauskas, A.S. Posner, Calcium phosphate formation in vitro. II. Effects of environment on amorphous-crystalline transformation, Arch. Biochem. Biophys. 140 (1970) 318–325.
[86] M. Boulet, J.R. Marier, D. Rose, Effect of magnesium on formation of calcium phosphate precipitates, Arch. Biochem. Biophys. 96 (1962) 629–636.
[87] E.A.A. Neel, A. Aljabo, A. Strange, S. Ibrahim, M. Coathup, A.M. Young, L. Bozec, V. Mudera, Demineralization–remineralization dynamics in teeth and bone, Int. J. Nanomedicine. 11 (2016) 4743–4763.
[88] R.D. Shannon, Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides, Acta Crystallogr. Sect. A. 32 (1976) 751–767.
[89] D.A. McKeown, I.S. Muller, A.C. Buechele, I.L. Pegg, Local environment of Zn in zirconium borosilicate glasses determined by X-ray absorption spectroscopy, J. Non. Cryst. Solids. 261 (2000) 155–162.
[90] J.A. Biscardi, E. Iglesia, Reaction pathways and rate-determining steps in reactions of alkanes on H-ZSM5 and Zn/H-ZSM5 catalysts, J. Catal. 182 (1999) 117–128.
[91] Y. Tang, H.F. Chappell, M.T. Dove, R.J. Reeder, Y.J. Lee, Zinc incorporation into hydroxylapatite, Biomaterials. 30 (2009) 2864–2872.
[92] B. Ravel, S.D. Kelly, The difficult chore of measuring coordination by EXAFS, AIP Conf. Proc. 882 (2007) 150–152.
[93] K. Matsunaga, First-principles study of substitutional magnesium and zinc in hydroxyapatite and octacalcium phosphate, J. Chem. Phys. 128 (2008) 245101
[94] W.E. Brown, Octacalcium phosphate and hydroxyapatite: Crystal structure of octacalcium phosphate, Nature. 196 (1962) 1048–1050.
[95] S. Cazalbou, D. Eichert, X. Ranz, C. Drouet, C. Combes, M.F. Harmand, C. Rey, Ion exchanges in apatites for biomedical application, J. Mater. Sci. Mater. Med. 16 (2005) 405–409.
[96] A.D. Wilson, S. Crisp, Ionomer cements, Br. Polym. J. 7 (1975) 279–296.
[97] 齋藤 太郎,化学の基本概念 理系基礎化学,裳華房,東京,(2013) 65-71.
[98] L.M. Gordon, L. Tran, D. Joester, Atom probe tomography of apatites and bone-type mineralized tissues, ACS Nano. 6 (2012) 10667–10675.
[99] F.J.G. Cuisinier, P. Steuer, J.C. Voegel, F. Apfelbaum, I. Mayer, Structural analyses of carbonate-containing apatite samples related to mineralized tissues, J. Mater. Sci. Mater. Med. 6 (1995) 85–89.
[100] I. Mayer, J.D.B. Featherstone, Dissolution studies of Zn-containing carbonated hydroxyapatites, J. Cryst. Growth. 219 (2000) 98–101.
[101] R.Z. LeGeros, Apatites in biological systems, Prog. Cryt. Growth. Charact. 4 (1981) 1–45.
[102] H. Tohda, S. Takuma, N. Tanaka, Intracrystalline structure of enamel crystals affected by caries, J. Dent. Res. 66 (1987) 1647–1653.
[103] K.A. DeRocher, P.J.M. Smeets, B.H. Goodge, M.J. Zachman, P.V. Balachandran, L. Stegbauer, M.J. Cohen, L.M. Gordon, J.M. Rondinelli, L.F. Kourkoutis, D. Joester, Chemical gradients in human enamel crystallites, Nature. 583 (2020) 66–71.