Trace elements can influence the physical properties of tooth enamel
© Ghadimi et al.; licensee Springer. 2013
Received: 2 August 2013
Accepted: 27 September 2013
Published: 2 October 2013
In previous studies, we showed that the size of apatite nanocrystals in tooth enamel can influence its physical properties. This important discovery raised a new question; which factors are regulating the size of these nanocrystals? Trace elements can affect crystallographic properties of synthetic apatite, therefore this study was designed to investigate how trace elements influence enamel’s crystallographic properties and ultimately its physical properties.
The concentration of trace elements in tooth enamel was determined for 38 extracted human teeth using inductively coupled plasma-optical emission spectroscopy (ICP-OES). The following trace elements were detected: Al, K, Mg, S, Na, Zn, Si, B, Co, Cr, Cu, Fe, Mn, Mo, Ni, Pb, Sb, Se and Ti. Simple and stepwise multiple regression was used to identify the correlations between trace elements concentration in enamel and its crystallographic structure, hardness, resistance to crack propagation, shade lightness and carbonate content. The presence of some trace elements in enamel was correlated with the size (Pb, Ti, Mn) and lattice parameters (Se, Cr, Ni) of apatite nanocrystals. Some trace elements such as Ti was significantly correlated with tooth crystallographic structure and consequently with hardness and shade lightness. We conclude that the presence of trace elements in enamel could influence its physical properties.
Tooth enamel is composed of both an organic and an inorganic phase. The organic phase is composed of proteins such as amelogenin, ameloblastin and tuftelin, as well as minor concentrations of proteoglycans and lipoids (Belcourt and Gillmeth 1979; Eggert et al. 1973; Glimcher et al. 1964). The enamel inorganic phase is composed of well-packed nanocrystals made of calcium phosphate apatite (HA) with small amounts of incorporated trace elements (Sprawson and Bury 1928). The organization and size of apatite crystals in tooth enamel affects its hardness (Jiang et al. 2005) and optical properties (Eimar et al. 2011 2012). These findings raise the following question: what determines the size of apatite crystals in tooth enamel? One possibility is that the tooth protein content could affect its crystal domain size, however we had found that the concentration of protein in enamel is not associated with the crystallographic structure of mature teeth (Eimar et al. 2012). Therefore this study was designed to investigate other factors, namely the presence of trace elements that can influence the size of apatite crystals in enamel.
Summary of the literature on the effect of trace elements on crystallography parameters in synthetic HA
Trace elements that increase crystallographic parameters
Trace elements that decrease crystallographic parameters
Lattice along a-axis
Fe2+, Fe3+, Zn2+a, Sr2+
SiO4 4-, CO3 2-, Zn2+ b, Ti4+
Lattice along c-axis
Fe2+, SiO4 4-, CO3 2-, Zn2+, Fe3+, Sr2+
Mg2+, Ti4+, Co2+, Ni2+, Cr3+
Co2+, Ni2+, Cr3+
SiO4 4-, CO3 2-, Zn2+, Fe3+, Ti4+, Mg2+, Ce3+
Crystal domain size along c-axis
Co2+, Ni2+, Cr3+
Fe2+, SiO4 4-, CO3 2-, Zn2+, Ti4+, Mg2+, Ce3+
Unlike the effect of trace elements on synthetic HA, their role on crystallographic properties of enamel is unknown in the literature. Despite the very low concentration of trace elements in our body, they play a significant role in human body healthiness (Carvalho et al. 1998). Trace elements can enter our body through digestion of food or by exposure to the environment (Lane and Peach 1997) and they can be incorporated into the structure of enamel HA. Trace elements in tooth enamel have been investigated for their role in caries (Curzon and Crocker 1978) and it was found that the presence of F, Al, Fe, Se and Sr is associated with the low risk of tooth caries, while Mn, Cu and Cd have been associated with a high risk (Curzon and Crocker 1978). However, despite their apparent importance on tooth enamel homeostasis, the effect of trace elements on the crystallography and physical properties of enamel remains unknown.
The aim of this study is to find the correlation between the concentration of trace elements detected in tooth enamel and its crystallography and physical-chemical properties. We hypothesized that the incorporation of trace elements in the structure of enamel can affect its crystallography and consequently alter the physical properties of enamel.
Physical chemical properties of tooth enamel
The tooth enamel hardness, crack length and shade lightness followed a normal distribution among the samples analyzed (Figure 1e, 1f and 1g). The hardness values varied between 2.91 and 4.36 GPa (mean = 3.64 ± 0.08 GPa), the crack length varied between 14.60 and 30.02 μm (mean = 23.31 ± 1.49 μm) and the tooth shade lightness values ranged between 59.0 and 96.1% (mean = 79.0 ± 1.8). The relative content of apatite inorganic carbonate type A and type B among the enamel samples followed a normal distribution, while the relative organic content did not (Figure 1h, 1i, 1j).
Trace elements in tooth enamel
The correlation analyses of trace elements
Simple linear regression between the concentration of elements and tooth properties
Simple linear and stepwise multiple correlation between trace elements’ concentration in enamel and tooth properties
Simple linear regression
Multiple stepwise regression
Average crack length
Crystal domain size along a-axis
Crystal domain size along c-axis
Cell lattice parameter along a-axis
Cell lattice parameter along c-axis
Stepwise multiple linear regression between elements and tooth properties
The results of stepwise multiple regression between the concentration of trace elements in enamel and the mechanical properties, optical properies, crystallographic structure and carbonate content of the teeth are presented in Table 2. Most of the results from the stepwise multiple regression analysis confirmed the results of the simple linear regression. It was found that the concentration of Ti was associated with tooth enamel hardness, lightness and crystal domain size along c-axis. The concentration of Pb and Ti in enamel had a negative correlation with tooth enamel crystal domain size while Mn had a positive one. The correlation between the concentration of Al and crack length in tooth enamel was negative. The concentration of Se was associated positively with the cell lattice parameters along both a-axis and c-axis. The concentration of Cr and Ni had an inverse correlation with the cell lattice parameter along c-axis. The concentrations of Fe and Co were negatively correlated to the carbonate type A and type B, respectively. The concentration of Ni and carbonate type B were associated positively. The protein content in tooth enamel was correlated to none of the trace elements. Some of the trace elements such as Fe, S and Cu were correlated to the enamel properties by stepwise multiple regression but not by simple linear regression and vice versa (such as Mn).
In this study 12 trace elements were found to be associated with tooth composition, structure and physical properties. Underneath we compared our findings with previous studies and we discussed the possible sources of these contaminants.
Trace elements in tooth enamel
Trace elements enter the human body coming from different sources such as food, water, air, etc. (Kampa and Castanas 2008; Malczewska‒Toth 2012). They can be incorporated in tooth enamel structure and in this study we show that they could affect the physical chemical properties of enamel. Below the association between each detected trace elements in tooth enamel with the tooth physical and chemical properties are detailed.
Selenium is a non-metallic element widely distributed in nature that can be absorbed by the body through oral intake or breathing (Malczewska‒Toth 2012). Selenium is incorporated in synthetic HA through anionic exchange of phosphate with selenite in a one-to-one (1:1) substitution ratio (Monteil-Monteil-Rivera et al. 2000). In our study, we found that the presence of Se in enamel was associated with increased lattice parameters along a-axis and c-axis. This was logically expected because the ionic radius of Se4+ (0.50 Å) is larger than the ionic radius of P5+ (0.35 Å), so by substitution of Se in synthetic HA, the lattice parameters increase (Ma et al. 2013). However ours is the first study that reports this phenomenon in tooth enamel.
Chromium is a heavy metal that is essential for the body in small amounts (Kampa and Castanas 2008). Its main role is in controlling the fat and sugar metabolism (Kimura 1996), and it helps to increase the muscle and tissue growth (Schroeder et al. 1963). It can enter human body through water, air and food (Kampa and Castanas 2008).
Although the ionic radius of Ca2+ (0.99 Å) is much bigger than Cr3+ (0.69 Å), Cr can exchange with Ca in synthetic HA (Chantawong et al. 2003). Accordingly, the substitution of Cr3+ in synthetic HA decreases the cell lattice parameters along both a-axis and c-axis, which might explain why we observed a significant association between the concentration of Cr and cell lattice parameter along c-axis in tooth enamel (Mabilleau et al. 2010).
Nickel is a toxic metal that can be absorbed by the body through water, air or food (Kampa and Castanas 2008). Ni is incorporated in HA through substitution of Ca2+(I) and bonds with O to form Ni3PO4 (Zhang et al. 2010). The ionic radius of Ca2+ (0.99 Å) is much bigger than Ni2+ (0.72 Å) (Chantawong et al. 2003). Consequently, with addition of Ni2+, the cell lattice parameter along c-axis decreases in synthetic HA (Mabilleau et al. 2010). These observations are in agreement with our study which to best of our knowledge is the first to report the inverse association between the concentration of Ni and crystal domain size in tooth enamel. Also, we found that the substitution of Ni in tooth enamel had a strong positive association with the presence of carbonate type B. Future studies will have to be performed in order to understand this phenomenon.
Cobalt is a toxic metal that exists in the environment and can enter the body through water, air and food (Barceloux and Barceloux 1999; Duruibe et al. 2007). In HA, Ca2+ is substituted by Co2+ following the equation Ca10-x Cox (PO4)6 (OH)2 (Elkabouss et al. 2004) and the maximum exchange of Co with Ca is 1.35 wt% Co (Elkabouss et al. 2004). In this study, we report for the first time that the incorporation of Co in tooth enamel structure had a strong negative association with the substitution of carbonate type B. More studies are required to find the reason behind this phenomenon.
Lead is a poisonous heavy metal that can harm the human body (Shukla and Singhal 1984). It can enter the body through water, air or food (Kampa and Castanas 2008). In HA, at low concentrations, Pb2+ ions (1.2 Å) replace Ca2+ ions (0.99 Å) (Mavropoulos et al. 2002; Miyake et al. 1986; Prasad et al. 2001) at the calcium site II following the equation Pb(10-x)Cax(PO4)6(OH)2 (Mavropoulos et al. 2002). Accordingly the sorption of low concentrations of lead by synthetic HA decreases its crystal domain size (Mavropoulos et al. 2002) and this could be the reason why we found in our study that the presence of lead had a negative correlation with the size of enamel apatite crystal.
Titanium is a metal commonly used in the field of biomaterials and bio-applications (Niinomi 2002). Titanium characteristics such as high strength, low modulus of elasticity, low density, biocompatibility, complete inertness to body environment and high capacity to integrate with bone and other tissues make it widely used in implant applications (Niinomi 2002). Ti ions are absorbed by body through food like candies, sweets and chewing gums (Weir et al. 2012).
The ionic radius of Ti4+ (0.68 Å) is much smaller than the ionic radius of Ca2+ (0.99 Å) (Ribeiro et al. 2006), so the substitution of Ca by low concentrations of Ti in synthetic HA results in decreased cell lattice parameters and crystal domain size (Ergun 2008). We found that the concentration of Ti in tooth enamel HA was associated with decreased enamel crystal domain size, which is in agreement with the previous studies on synthetic HA (Ergun 2008; Hu et al. 2007; Huang et al. 2010).
In this study, the presence of Ti in tooth enamel was associated with increasing tooth hardness. Since Ti had an inverse association with the crystal domain size and the size of apatite nanocrystals in tooth enamel is inversely correlated to tooth hardness (Eimar et al. 2012), this could be the reason behind the positive association between Ti concentration in enamel apatite and hardness.
We previously showed that the tooth enamel crystal domain size was associated with its optical properties; when the enamel crystal domain size is larger, its lightness is lower (Eimar et al. 2011). This phenomenon is due to the fact that more light can be scattered from tooth enamel composed of small crystals (Eimar et al. 2011). In this study we found that the presence of Ti in tooth enamel structure was associated with both smaller crystal domain size and higher lightness, which confirmed our previous observation (Eimar et al. 2011).
Manganese is another trace element that can be uptaken from food, air and water (Frieden 1984; Kampa and Castanas 2008). Mn2+ replaces Ca2+ in HA (Medvecky et al. 2006). Previous studies have shown that the incorporation of Mn2+ in synthetic HA does not change the crystal domain size significantly (Medvecky et al. 2006; Ramesh et al. 2007). In our study we showed that the presence of Mn in tooth enamel was associated with its apatite crystal domain size. Further studies are needed to understand this phenomenon.
Iron is an essential element for human life, it can enter the body through food such as vegetables and it is one of the trace elements found in teeth (Cook et al. 1972). Fe affects the carbonate content in synthetic HA (Low et al. 2010). It was found that in low concentration of Fe, Carbonate type A can be substituted by Fe in synthetic HA (Low et al. 2010). We found that the incorporation of Fe in tooth enamel had lower relative content of carbonate type A. Further studies are needed to understand this phenomenon.
Aluminum is one of the elements found in the body that can be absorbed through air, food, and water (Campbell et al. 1957; Maienthal and Taylor 1968; Oke 1964). Its concentration in the body increases with age and at higher amounts can cause brain and skeleton disorders (Alfrey et al. 1976; Little and Steadman 1966). Also, the discoloration of tooth enamel can be seen in the presence of Al (Little and Steadman 1966). In this study, we found that the concentration of Al was correlated negatively with crack length in tooth enamel. Teeth with lower level of Al were more prone to have longer cracks and vice versa. More studies are needed to understand this phenomenon.
Sources of trace elements
Trace elements are distributed differently among tooth enamel and dentin. For example Cu, Pb, Co, Al, I, Sr, Se, Ni and Mn are more abundant in tooth enamel compared to dentine while Fe and F are more concentrated in dentine than enamel (Derise and Ritchey 1974; Lappalainen and Knuuttila 1981). Also trace elements vary among the different layers of enamel. Fe, Pb and Mn are more abundant in the outer layers of enamel compared to the inner ones (Brudevold and Steadman 1956; Reitznerová et al. 2000). These findings seem to indicate that certain trace elements could be coming from the environment (i.e. Mn and Fe) and are incorporated after eruption or deposed in tooth enamel during calcification (Brudevold et al. 1975; Nixon et al. 1966; Okazaki et al. 1986). Trace elements can enter the human body coming from different sources such as food, water and air (Cleymaet et al. 1991; Cook et al. 1972; Duruibe et al. 2007). Underneath we discuss the dental products and fluids (i.e. saliva, dental prosthesis and dental porcelain) as possible sources of trace elements in tooth enamel.
Teeth are washed constantly by saliva (Duggal et al. 1991). Several trace elements found in saliva are known to affect the composition of enamel surface (Reitznerová et al. 2000). The concentration of trace elements in saliva varies among people. These are some of the elemental detection in enamel with the range of Cu (20–321 μgL-1), Zn (28–358 μgL−1), Mg (2.53-34.13 mgL-1), Ca (21.5-170 mgL-1), Al (25–102 μgL−1), Sr (9–26 μgL−1), Mn (2.3-5 μgL−1), Fe (25–160 μgL−1), Si (2–3 μgL−1), Na (257.49-276.8 mg/L), K (958.73-994.704 mg/L) and Cr (0.8-3.6 μgL−1) (Borella et al. 1994; Grad 1954; Sighinolfi et al. 1989).
The most abundant trace elements in saliva (Na, Mg, K and Zn) are also the most abundant trace elements in tooth enamel (Borella et al. 1994; Grad 1954; Sighinolfi et al. 1989). Interestingly, in our study the concentration of each one of these trace elements was directly or indirectly correlated to each other. These observations indicated that saliva could influence the composition of enamel.
Partial denture could be a possible source of trace elements found in teeth. The alloys commonly used to fabricate dental prosthesis include Cr, Co, Ni, Fe, Ti and Mo (Andersson et al. 1989; Asgar et al. 1970; Morris et al. 1979; Yamauchi et al. 1988). The concentration of Cr, Co, Fe and Ni in saliva of patients with partial dentures is higher than in patients without partial dentures (de-Melo et al. 1983; Gjerdet et al. 1991).
The concentration of Cr, Co, Mo, Ni, Ti and Fe in tooth enamel was correlated strongly to each other (Figure 3). This finding along with the fact that these materials are found in the composition of dental prosthesis seems to indicate that the source of these metals in enamel could be dental prosthesis. Therefore, the presence of denture in mouth can affect the concentration of trace elements in tooth enamel. Future studies will be performed to confirm the effect of trace elements found in dental prosthesis in tooth enamel.
Dental porcelain is composed of a leucite crystallite phase and a glass matrix phase (Panzera and Kaiser 1999) and its elemental composition includes Si (57-66%), B (15-25%), Al (7-15%), Na (7-12%), K (7-15%) and Li (0.5-3%) (Panzera and Kaiser 1999; Sekino et al. 2001). Interestingly, the concentration of these elements in tooth enamel was strongly correlated to each other (Figure 3). This result seems to indicate that the dental porcelain might be another possible source of these elements in tooth enamel. Although future studies will have to be performed to confirm this possibility.
Trace elements can enter the structure of tooth enamel and affect its physical-chemical properties. In this study, we found that there are several sources for trace elements to enter enamel structure such as saliva, dental prosthesis or dental porcelain. Future studies will have to be performed to determine the effect of saliva and dental prosthesis on tooth enamel structure.
Metallic components of dental prosthesis are usually based on Cr, Co and Ni. These metals can cause sensitivities and allergies (Blanco-Dalmau et al. 1984; Brendlinger and Tarsitano 1970) and for these reasons Ti based dentures have been developed (Andersson et al. 1989; Yamauchi et al. 1988). In our study, we confirmed that the presence of Ti in tooth enamel could be beneficial by rendering teeth whiter and harder. Therefore, dental materials containing Ti could have additional benefits, besides the ones that already are known and used in biomaterial sciences.
One limitation of the present study is relatively small sample size and another one is the limited number of detected trace elements in each tooth sample. With increasing the number of sample size or using another technique in order to promote the detection limit, we might find more trace elements in the samples and more significant correlations between the concentration of trace elements and the physical-chemical properties of it.
The presence of trace elements in tooth enamel could influence the physical chemical properties of tooth enamel. In this study we found that the concentration of Ti in tooth enamel had a strong relationship with enamel hardness, lightness and crystal domain size along c-axis. The incorporation of Fe had a negative association with the presence of carbonate type A, while the incorporation of Co and Ni was correlated with the formation of carbonate type B. The concentration of Al in tooth enamel was inversely correlated with the length of cracks forming in enamel. Also, we found that the presence of Se in tooth enamel had a positive correlation with cell lattice parameters along both a-axis and c-axis while Cr and Ni had a negative correlation with cell lattice parameters along c-axis. Also, it was shown that the concentration of Pb and Mn in tooth enamel had a positive association with tooth enamel crystal domain size along c-axis.
Materials and methods
After obtaining ethical approval from McGill University Health Center (MUHC) ethical committee, a set of 38 extracted human teeth were collected from patients attending McGill Undergraduate Dental Clinic, scheduled for extractions. In this study, the included teeth were sound human upper anterior teeth. Teeth with caries, demineralized areas, cracks, cavitations, restorations, severe or atypical intrinsic stains, and/or tooth bleaching history were excluded.
Upon extraction, teeth were immersed in 10% formalin solution (BF-FORM, Fisher Scientific, Montreal, Canada) for 1 week, before cleaning them in an ultrasound bath (FS20D Ultrasonic, Fisher Scientific, Montreal, Canada) with de-ionized distilled water at 25°C for 60 minutes. Then, they were polished with a low-speed dental handpiece (M5Pa, KAB-Dental, Sterling Heights, MI) using SiC cups (Pro-Cup, sdsKerr, Orange, CA) and dental prophylaxis pumice of low abrasive capability (CPR™, ICCARE, Irvine, CA) for 1 minute. Teeth were rinsed again in an ultrasonic bath with de-ionized distilled water before storing them in labeled Eppendorf tubes with a 10% formalin solution.
Tooth shade was registered by tooth spectrophotometry (Easy shade®, Vita Zahnfabrik, Germany) which is the most accurate and reproducible technique used for tooth shade masurements (Chu et al. 2010; Paul et al. 2002). Shade measurements were collected using the parameters of Munsell’s colour system (L*C*H*) and they were repeated three times for each tooth. The mean and the standard deviation for each shade parameter were calculated. Tooth dehydration might induce changes in tooth shade so, in order to avoid its dehydration, during shade measurement each tooth was kept wet at all times.
A sagittal section was obtained from each tooth using a carbide bur (FG56, sds Kerr, Orange, CA) adapted to a high-speed dental handpiece (TA-98LW, Synea, Bürmoos, Austria) and cooled with de-ionized distilled water in order to prevent overheating. Each tooth section was fixed in clear methylmethacrylate resin (DP-Ortho-F, DenPlus, Montreal, QC). The resulting blocks were mirror polished using ascending grits of silicon carbide papers with de-ionized distilled water (Paper-c wt, AAAbrasives, Philadelphia, PA) (240, 400, 600, 800 and 1200) and were smoothed with a polishing cloth.
A Vickers microhardness device (Clark CM100 AT, HT-CM-95605, Shawnee Mission, KS) was used to make indentations on the polished surfaces of tooth enamel. The indentation load was 300 N with a loading time of 10 seconds. Due to the variation in microhardness values within each tooth enamel sample, six indentations were performed between the DEJ and external surface of each enamel sample (Bembey et al. 2005; Gutiérrez-Salazar and Reyes-Gasga 2003; Newbrun and Pigman 1960; White et al. 2000). A minimum distance of 50μm was maintained, between the successive indentations. A computer software (Clemex Vision PE 3.5, Clemex Technologies Inc, Shawnee Mission, KS) was used to measure the microhardness value at the site of indentation from images captured with a built-in camera.
Enamel crack propagation
X-ray powder diffraction
To determine the crystallographic dimension of apatite in each tooth enamel sample, X-ray powder diffraction (XRD) (D8-Discover/GADDS, Bruker, Karlsruhe, Germany) was used. The XRD patterns were recorded using a diffractometer with CuKα radiation (setting: 40 Kv, 40 mA, 10-60° scanning angle, 0.02 step size and 1800 scan step time) (Hanlie et al. 2006; Xue et al. 2008). DIFFRAC-plus EVA software (AXS, Bruker, Karlsruhe, Germany) was used to analyze the data obtained from each XRD spectrum (Figure 4a) (Xue et al. 2008).
where D is the average of domain lengths, K is the shape factor, λ is the x-ray wavelength β is the line broadening at half the maximum intensity (FWHM) and θ is the Bragg angle.
where d is the spacing between adjacent planes (interplanar spacing) in the crystal, hkl are the miller indices that are the reciprocal intercepts of the plane on the unit cell axes, a is the a-axis and c is the c-axis. We used the (002) and (310) Bragg peaks for our crystallography calculation, because they have been widely used in the literature and they do not overlap with other peaks (Hanlie et al. 2006; Leventouri et al. 2009; Simmons et al. 2011).
The chemical composition of enamel was investigated by FTIR spectroscopy (Spectrum 400, Perkin–Elmer, Waltham, MA). The enamel powder samples were submitted to an FTIR spectrophotometer using a single bounce ZnSe diamond-coated ATR crystal. For each sample, a total of 64 scans per run at 2 cm-1 resolution were used (Figure 4b). FTIR studies were carried out in the range 700–1800 cm-1. The collected spectra were normalized according to the absorbance of ν3PO4 at 1013cm-1 using the FTIR spectrophotometry software (Spectrum, Perkin-Elmer, USA).
According to previous studies, the organic content of enamel was estimated from the Amide I-to-ν3PO4 ratio (Aparicio et al. 2002; Bartlett et al. 2004; Bohic et al. 2000). The carbonate content within enamel mineral matrix was estimated from the ratios of ν2CO3 type A (~878cm-1) and B (~872cm-1) to the ν3PO4 and ν1PO4 (~960cm-1) absorption bands (Antonakos et al. 2007; Lasch et al. 2002; Rey et al. 1989).
Inductively coupled plasma-optical emission spectroscopy
The concentration of trace elements in tooth enamel samples was determined with Inductively Coupled Plasma-Optical Emission Spectroscopy (ICP-OES) (Thermo Scientific iCAP 6500, Cambridge, UK). Weighed tooth enamel powdered samples were dissolved in concentrated nitric acid (5 ml; 68% wt/wt) at a temperature of 95°. Yttrium (5 ppm) was added to the solution as an internal standard to make corrections for possible sample preparation errors and sample matrix corrections. After 2 hours of acid digestion, the liquids of the resulting solutions (0.25 ml) were diluted into both deionized-distilled water (10 ml) and 4% nitric acid (25 ml), separately. Both diluted solutions were submitted to ICP-OES using the following setup: power of 1150W, auxiliary gas-flow rate of 0.5 L/min, nebulizer gas-flow rate of 0.5 L/min, sample flow rate of 0.7 ml/min, cooling gas of 12 L/min and integration time of 10 sec. The operating software ITEVA (version 8) was used to control the instrument function and data handling. The quality control checks were done prior to initial analysis and every 12 consecutive samples.
The correlations between the concentration of each trace element in tooth enamel and its physical chemical properties were determined using simple linear regression. Due to high correlations between trace elements in tooth enamel and their possible effect on the results, in addition to simple linear regression, stepwise multiple regression was performed. Stepwise multiple regression is more accurate than simple linear regression, because it provides us information about the correlation of each trace element with others while adjusting for their inter-correlations. Also, the association of trace elements with physical-chemical properties of tooth enamel were obtained using the stepwise multiple regression, adjusting for the inter-correlation between trace elements. The statistical significance was set at P <0.05 and all statistical analyses were done using SPSS 19 software (IBM, New York, NY).
The authors would like to acknowledge the “Fondation de l’Ordre des dentistes du Québec” (FODQ), the Faculty of Dentistry of McGill University and the Natural Sciences and Engineering Research Council of Canada (NSERC-Discovery; F.T.) for their financial support.
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