Author Contributions
Conceptualization, J.C.B.; methodology, J.C.B., T.K., D.K., L.T., N.R. and J.K.U.; software, G.B., P.M., M.A.W. and N.Z.; validation, J.C.B. and D.K.; formal analysis, J.C.B. and P.M.; investigation, J.C.B., T.K., D.K., L.T., N.R. and J.K.U.; resources, G.B., J.C.B., D.M.L.C., M.A.W. and N.Z.; data curation, G.B., J.C.B., M.A.W. and N.Z.; writing—original draft preparation, D.K. and J.C.B.; writing—review and editing, All Authors; visualization, J.C.B., D.K. and P.M.; supervision, J.C.B., D.M.L.C.; project administration, J.C.B.; funding acquisition, J.C.B., D.M.L.C. All authors have read and agreed to the published version of the manuscript.
Figure 1.
Linear measurements used to define jaw and molar lengths in (A) embryonic (E12) and (B) perinatal (E18) mice for total jaw length in the upper and lower jaws. Retromolar length is not yet visible in the embryo (A). Abbreviations: Lwr, lower jaw; M1L, first molar length, M2L, second molar length, M3L, third molar length; RML, retromolar length; TJL, total jaw length; Upr, upper jaw.
Figure 1.
Linear measurements used to define jaw and molar lengths in (A) embryonic (E12) and (B) perinatal (E18) mice for total jaw length in the upper and lower jaws. Retromolar length is not yet visible in the embryo (A). Abbreviations: Lwr, lower jaw; M1L, first molar length, M2L, second molar length, M3L, third molar length; RML, retromolar length; TJL, total jaw length; Upr, upper jaw.
Figure 2.
Linear measurements used to define jaw and molar lengths in postnatal mice for total jaw length in the upper (A) and lower (B) jaws, retromolar length in the maxilla (C) and dentary bone (D), and first (E), second (F) and third (G) molar lengths. (H) A summary of all jaw and molar measurements. Abbreviations: Lwr, lower jaw; M1L, first molar length, M2L, second molar length, M3L, third molar length; RML, retromolar length; TJL, total jaw length; Upr, upper jaw.
Figure 2.
Linear measurements used to define jaw and molar lengths in postnatal mice for total jaw length in the upper (A) and lower (B) jaws, retromolar length in the maxilla (C) and dentary bone (D), and first (E), second (F) and third (G) molar lengths. (H) A summary of all jaw and molar measurements. Abbreviations: Lwr, lower jaw; M1L, first molar length, M2L, second molar length, M3L, third molar length; RML, retromolar length; TJL, total jaw length; Upr, upper jaw.
Figure 3.
For the (A) maxillary prominence (embryos E10–E18) or upper jaw (postnatal mice, P0–P32), and the (B) mandibular prominence (E10–E18) and lower jaw (P0–P32), this histogram shows mean mesiodistal lengths of the first (M1L, green), second (M2L, orange) and third (M3L, gold) molar, retromolar space (RML, blue) and entire jaw (TJL, grey). Measurements are averaged among the specimens available for each stage/age. In both jaw types: at E10–E11, no molars have started to form; M1 appears by E12, M2 by E14, and M3 by P12; jaw growth is rapid until E18, after which growth slows, spikes at P21, and slows again (P23–P32). The main differences in the upper jaw are: (1) a much shorter retromolar length (~2–10% of total jaw length) compared to the lower jaw (~10–28% of total jaw length), and (2) upper molars are longer than lower molars. In both jaw types, molars follow a trend of M1 > M2 > M3, but lower molar proportions are closer to M1 > M2 >/= M3. In the upper jaw, the M2 initiates despite very little (~100 µm) of retromolar space.
Figure 3.
For the (A) maxillary prominence (embryos E10–E18) or upper jaw (postnatal mice, P0–P32), and the (B) mandibular prominence (E10–E18) and lower jaw (P0–P32), this histogram shows mean mesiodistal lengths of the first (M1L, green), second (M2L, orange) and third (M3L, gold) molar, retromolar space (RML, blue) and entire jaw (TJL, grey). Measurements are averaged among the specimens available for each stage/age. In both jaw types: at E10–E11, no molars have started to form; M1 appears by E12, M2 by E14, and M3 by P12; jaw growth is rapid until E18, after which growth slows, spikes at P21, and slows again (P23–P32). The main differences in the upper jaw are: (1) a much shorter retromolar length (~2–10% of total jaw length) compared to the lower jaw (~10–28% of total jaw length), and (2) upper molars are longer than lower molars. In both jaw types, molars follow a trend of M1 > M2 > M3, but lower molar proportions are closer to M1 > M2 >/= M3. In the upper jaw, the M2 initiates despite very little (~100 µm) of retromolar space.
Figure 4.
Molar morphogenesis in embryonic wild-type mouse. Coronal view of embryos aged (A) E14 and (B) E16 showing the lingual tilting (short yellow dotted line, right) of upper and lower M1 organs, and the buccal location of the upper M1 organs at E14. The M1 dental stalks (yellow dashed lines, left, and arrows, right) of the upper molar organs are laterally positioned relative to lower molar organs. By E16 the upper molar organs are wider than the lower organs (yellow dashed lines, left). Mineralizing dentary bone (bright white, arrowhead) is located buccal to the molar and the incisor (i). Long thin arrow (B) points to the wall of the dental follicle (crypt). Abbreviations: e, eye; i, incisor; t, tongue.
Figure 4.
Molar morphogenesis in embryonic wild-type mouse. Coronal view of embryos aged (A) E14 and (B) E16 showing the lingual tilting (short yellow dotted line, right) of upper and lower M1 organs, and the buccal location of the upper M1 organs at E14. The M1 dental stalks (yellow dashed lines, left, and arrows, right) of the upper molar organs are laterally positioned relative to lower molar organs. By E16 the upper molar organs are wider than the lower organs (yellow dashed lines, left). Mineralizing dentary bone (bright white, arrowhead) is located buccal to the molar and the incisor (i). Long thin arrow (B) points to the wall of the dental follicle (crypt). Abbreviations: e, eye; i, incisor; t, tongue.
Figure 5.
Sagittal plane of embryos aged E14 (
A–
E) and E16 (
F–
H). In the same plane of section, the upper and lower M1 organs and dental lamina are at different depths. Versus the lower jaw that aligns with the Current Model [
11] of dental lamina structure, the appearance of the dental lamina in the upper jaw conforms to the Classical Model [
11] (black star: contact of anterior end of upper dental lamina with surface epithelium; grey star, contact of posterior end of dental epithelium with surface epithelium). However, this conformity is actually an artefact of the more steeply bucco-lingual inclination of the upper molar organ. The onset of M2 is just visible as a small epithelial invagination in the lower jaw (arrows/labels, panels
A,
D,
F), which even at E14 and clearly by E16 is visible an extension of the M1 organ and dental epithelium (arrows,
G,
H). Abbreviations: ds, dental stalk; Ldl, lower dental lamina; M, molar; Udl, upper dental lamina.
Figure 5.
Sagittal plane of embryos aged E14 (
A–
E) and E16 (
F–
H). In the same plane of section, the upper and lower M1 organs and dental lamina are at different depths. Versus the lower jaw that aligns with the Current Model [
11] of dental lamina structure, the appearance of the dental lamina in the upper jaw conforms to the Classical Model [
11] (black star: contact of anterior end of upper dental lamina with surface epithelium; grey star, contact of posterior end of dental epithelium with surface epithelium). However, this conformity is actually an artefact of the more steeply bucco-lingual inclination of the upper molar organ. The onset of M2 is just visible as a small epithelial invagination in the lower jaw (arrows/labels, panels
A,
D,
F), which even at E14 and clearly by E16 is visible an extension of the M1 organ and dental epithelium (arrows,
G,
H). Abbreviations: ds, dental stalk; Ldl, lower dental lamina; M, molar; Udl, upper dental lamina.
Table 1.
Sample sizes of the embryonic (E) and postnatal (P) mouse specimens studied here, where the number (e.g., 10) is either the day post-conception (E) or post-birth (P).
Table 1.
Sample sizes of the embryonic (E) and postnatal (P) mouse specimens studied here, where the number (e.g., 10) is either the day post-conception (E) or post-birth (P).
Prenatal Mice | Postnatal Mice |
---|
Stage | # Specimens | Age | # Specimens | Age | # Specimens |
---|
E10 | 3 | P0 | 1 | P26 | 3 |
E11 | 1 | P3 | 3 | P28 | 1 |
E12 | 3 | P6 | 3 | P30 | 2 |
E13 | 1 | P8 | 2 | P32 | 3 |
E14 | 2 | P12 | 3 | | |
E15 | 3 | P15 | 2 | | |
E16 | 1 | P18 | 2 | | |
E17 | 3 | P21 | 3 | | |
E18 | 3 | P23 | 2 | | |
Table 2.
Stages of earliest radiographically visible tooth organ onset, crown completion, root onset and completion, and tooth emergence for the first (M1), second (M2) and third (M3) molars of both the upper and lower jaws. Abbreviations: –, to/between; <, earlier than; >, later than; ≤, earlier or at.
Table 2.
Stages of earliest radiographically visible tooth organ onset, crown completion, root onset and completion, and tooth emergence for the first (M1), second (M2) and third (M3) molars of both the upper and lower jaws. Abbreviations: –, to/between; <, earlier than; >, later than; ≤, earlier or at.
Molar | Organ Onset | Crown Complete | Root Onset | Root Complete | Emergence |
---|
M1 | E12 | <P6–P8 | P8 | P21–P23 | >P18–P21 |
M2 | E14 | >P8–P12 | >P8, <P15 | P23–P26 | >P18–P21 |
M3 | ≤P4–P6 | P21 | >P21–P23 | P28–P30 | P23–P26 |
Table 3.
Bar chart of prenatal and postnatal stages of onset (leftmost end of each row). This chart indicates the start (*) and completion (^) of crown mineralization, and emergence (e) of first (M1), second (M2) and third molar (M3) teeth in C57BL/6J mice. Staging is based on our image data from embryonic (E) stage E10 to postnatal (P) age 26. Total duration of development is comparable among all three molars (M1, M2, M3). Periods of M1 and M2 morphogenesis and crown formation largely overlap with each other but do not overlap with those of M3 because of its later onset by about 10 days after birth. * = start of crown mineralization, ^ = crown completion, e = emergence into occlusion.
Table 3.
Bar chart of prenatal and postnatal stages of onset (leftmost end of each row). This chart indicates the start (*) and completion (^) of crown mineralization, and emergence (e) of first (M1), second (M2) and third molar (M3) teeth in C57BL/6J mice. Staging is based on our image data from embryonic (E) stage E10 to postnatal (P) age 26. Total duration of development is comparable among all three molars (M1, M2, M3). Periods of M1 and M2 morphogenesis and crown formation largely overlap with each other but do not overlap with those of M3 because of its later onset by about 10 days after birth. * = start of crown mineralization, ^ = crown completion, e = emergence into occlusion.
E12 | E14 | E16 | E18 | P0 | P2 | P4 | P6 | P8 | P10 | P12- | -P18 | P20 | P22 | P24 | P26 |
---|
M1 | | * E17 | | | | ^ P6–8 | | | eP18–21 | | | |
| M2 | | * | | | | | ^ P8–12 | | e/P21 | | | |
| | | | | | M3 | | * P8< | | | | ^ P21 | | eP23–26 |
Table 4.
Upper (Mx/Upr) and lower (Mx/Lwr) first (M1), second (M2) and third (M3) molar, total jaw and retromolar mean mesiodistal lengths in micrometers (µm) for each prenatal (E) and postnatal (P) stage studied here. Per stage, all measurements for left and right sides were averaged. Typically, M1 > M1 (15/20 stages) and M2 > M2 (12/18 stages), while M3 > M3 for 9/9 stages (italicized values = Upr > Lwr). Total jaw length was longer in the lower jaw with three exceptions (italicized) at E10, E12 and E17. Retromolar space was always longer in the lower jaw. “-” indicates that at least one molar was not yet forming and no value could be measured for that stage/age group. * The inexplicably large absolute metrics for E13 are excluded from all analyses, only some data for E13 ratios and proportions are included.
Table 4.
Upper (Mx/Upr) and lower (Mx/Lwr) first (M1), second (M2) and third (M3) molar, total jaw and retromolar mean mesiodistal lengths in micrometers (µm) for each prenatal (E) and postnatal (P) stage studied here. Per stage, all measurements for left and right sides were averaged. Typically, M1 > M1 (15/20 stages) and M2 > M2 (12/18 stages), while M3 > M3 for 9/9 stages (italicized values = Upr > Lwr). Total jaw length was longer in the lower jaw with three exceptions (italicized) at E10, E12 and E17. Retromolar space was always longer in the lower jaw. “-” indicates that at least one molar was not yet forming and no value could be measured for that stage/age group. * The inexplicably large absolute metrics for E13 are excluded from all analyses, only some data for E13 ratios and proportions are included.
| M1 Length µm | M2 Length µm | M3 Length µm | Total Jaw µm | Retromolar µm |
---|
Stage | Upr | Lwr | Upr | Lwr | Upr | Lwr | Upr | Lwr | Upr | Lwr |
---|
E10 | - | - | - | - | - | - | 560.8 | 450.5 | - | - |
E11 | - | - | - | - | - | - | 685.2 | 702.7 | - | - |
E12 | 362.3 | 424.6 | - | - | - | - | 1117.4 | 1070.8 | - | - |
E13 * | 1886.1 | 999.6 | - | - | - | - | 3646.2 | 4799.4 | 85.2 | 1193.8 |
E14 | 657.1 | 588.3 | 388.5 | 250.0 | - | - | 1809.1 | 2304.3 | - | 226.0 |
E15 | 750.1 | 808.3 | 431.8 | 223.9 | - | - | 2436.7 | 3493.5 | 120.8 | 651.2 |
E16 | 865.8 | 883.6 | 322.8 | 226.3 | - | - | 2519.1 | 3612.3 | - | 527.5 |
E17 | 861.6 | 917.9 | 564.1 | 484.9 | - | - | 3643.9 | 3576.9 | 183.5 | 408.3 |
E18 | 1219.8 | 1027.0 | 512.6 | 539.7 | - | - | 3663.6 | 3827.6 | 351.6 | 545.8 |
P0 | 1195.4 | 1229.2 | 662.0 | 524.7 | - | - | 4109.7 | 5057.1 | 258.0 | 739.7 |
P3 | 1437.4 | 1300.0 | 828.9 | 864.6 | - | - | 4590.2 | 5171.8 | 230.3 | 724.9 |
P6 | 1160.5 | 938.8 | 617.0 | 620.3 | - | - | 3715.1 | 4431.4 | 216.1 | 790.3 |
P8 | 1188.7 | 1009.4 | 679.0 | 696.2 | - | - | 4158.4 | 4721.3 | 451.7 | 1075.0 |
P12 | 1231.1 | 1018.5 | 641.7 | 710.3 | 276.6 | 385.9 | 4712.0 | 5102.3 | 259.0 | 966.3 |
P15 | 1246.8 | 1033.2 | 723.8 | 739.1 | 402.6 | 485.7 | 4992.5 | 5570.4 | 199.0 | 1258.3 |
P18 | 1247.3 | 1002.0 | 744.9 | 685.4 | 431.1 | 492.4 | 5109.3 | 5603.9 | 215.1 | 1241.5 |
P21 | 1734.1 | 1457.4 | 1046.1 | 993.3 | 658.6 | 827.5 | 8102.8 | 8447.0 | 416.4 | 1880.8 |
P23 | 1816.3 | 1471.5 | 1104.4 | 1054.1 | 654.4 | 847.4 | 8646.6 | 8955.3 | 553.3 | 2137.3 |
P26 | 1819.2 | 1478.1 | 1089.9 | 957.0 | 658.7 | 911.5 | 8355.2 | 9138.0 | 449.1 | 2220.5 |
P28 | 1781.9 | 1423.2 | 1085.2 | 1015.7 | 660.4 | 822.2 | 9071.2 | 9472.0 | 481.6 | 2370.5 |
P30 | 1622.8 | 1446.9 | 1036.8 | 975.8 | 631.1 | 824.8 | 8328.7 | 8688.8 | 426.3 | 2198.7 |
P32 | 1720.6 | 1462.4 | 1048.3 | 980.0 | 657.3 | 865.5 | 9045.5 | 9292.9 | 721.9 | 2579.3 |
Table 5.
Ratios of averaged first (M1), second (M2) and third (M3) molar mesiodistal lengths from stages/ages E14 to P32, for left and right sides of each jaw type (upper; lower). The closer a value is to 100, the greater the parity of M2 or M3 length relative to M1. Ratios tend to increase with stage because, relative to M1 (which is crown complete by P8), the M2 and M3 elongate until about P12 and P21, respectively. We saw a trend of smaller M2:M1 ratios in the lower jaw until about birth (P0), after which M2:M1 ratio was smaller in the upper jaw. Conversely, M3:M1 ratios were consistently smaller in the upper jaw. “-” = a molar was not yet forming and could not be measured thus the ratio is absent for that stage/age group.
Table 5.
Ratios of averaged first (M1), second (M2) and third (M3) molar mesiodistal lengths from stages/ages E14 to P32, for left and right sides of each jaw type (upper; lower). The closer a value is to 100, the greater the parity of M2 or M3 length relative to M1. Ratios tend to increase with stage because, relative to M1 (which is crown complete by P8), the M2 and M3 elongate until about P12 and P21, respectively. We saw a trend of smaller M2:M1 ratios in the lower jaw until about birth (P0), after which M2:M1 ratio was smaller in the upper jaw. Conversely, M3:M1 ratios were consistently smaller in the upper jaw. “-” = a molar was not yet forming and could not be measured thus the ratio is absent for that stage/age group.
| Upper Jaw | Lower Jaw |
---|
Stage | M2:M1 | M3:M1 | M2:M1 | M3:M1 |
---|
E14 | 59 | - | 43 | - |
E15 | 58 | - | 28 | - |
E16 | 37 | - | 26 | - |
E17 | 66 | - | 53 | - |
E18 | 42 | - | 53 | - |
P0 | 55 | - | 43 | - |
P3 | 58 | - | 67 | - |
P6 | 53 | - | 66 | - |
P8 | 57 | - | 69 | - |
P12 | 52 | 23 | 70 | 38 |
P15 | 58 | 32 | 72 | 47 |
P18 | 60 | 35 | 68 | 49 |
P21 | 60 | 38 | 68 | 57 |
P23 | 61 | 36 | 72 | 58 |
P26 | 60 | 36 | 65 | 62 |
P28 | 61 | 37 | 71 | 58 |
P30 | 64 | 39 | 67 | 57 |
P32 | 61 | 38 | 67 | 59 |
Table 6.
Pearson’s Correlation Coefficient (r) of total jaw length (TJL) with retromolar length (RML), and molar lengths (M1, M2, M3), showing strong and significant correlations in all four quadrants among upper and lower jaws. Strength of correlation between TJL and RML was highest in the mandible (0.97–0.99) versus the maxilla (0.82–0.83).
Table 6.
Pearson’s Correlation Coefficient (r) of total jaw length (TJL) with retromolar length (RML), and molar lengths (M1, M2, M3), showing strong and significant correlations in all four quadrants among upper and lower jaws. Strength of correlation between TJL and RML was highest in the mandible (0.97–0.99) versus the maxilla (0.82–0.83).
Upper Left TJL vs. | Upper Right TJL vs. |
RML 0.83, p < 0.0001, n = 16 | RML 0.82, p < 0.01, n = 9 |
M1 0.95, p < 0.0001, n = 19 | M1 0.96, p < 0.0001, n = 12 |
M2 0.97, p < 0.0001, n = 18 | M2 0.96, p < 0.0001, n = 11 |
M3 0.95, p = 0.0001, n = 9 | M3 0.998, p < 0.0001, n = 5 |
Lower Left TJL vs. | Lower Right TJL vs. |
RML 0.99, p < 0.0001, n = 18 | RML 0.97, p < 0.0001, n = 11 |
M1 0.94, p < 0.0001, n = 19 | M1 0.96, p < 0.0001, n = 12 |
M2 0.91, p < 0.0001, n = 18 | M2 0.90, p = 0.0002, n = 11 |
M3 0.98, p < 0.001, n = 9 | M3 0.99, p = 0.001, n = 5 |
Table 7.
Pearson’s Correlation Coefficient (r) of retromolar length (RML) with molar lengths (M1, M2, M3), showing strong and significant correlations (*) for most but not all molars all four quadrants among upper and lower jaws. In all four quadrants, significance of correlation was lowest for M3 with RML. There is no clear pattern where one molar type correlates most strongly with RML.
Table 7.
Pearson’s Correlation Coefficient (r) of retromolar length (RML) with molar lengths (M1, M2, M3), showing strong and significant correlations (*) for most but not all molars all four quadrants among upper and lower jaws. In all four quadrants, significance of correlation was lowest for M3 with RML. There is no clear pattern where one molar type correlates most strongly with RML.
Upper Left RML vs. | Upper Right RML vs. |
M1 0.79, p < 0.001 *, n = 16 | M1 0.76, p = 0.02, n = 9 |
M2 0.78, p < 0.001 *, n = 16 | M2 0.66, p = 0.05, n = 9 |
M3 0.75, p = 0.02, n = 9 | M3 0.78, p = 0.1, n = 5 |
Lower Left RML vs. | Lower Right RML vs. |
M1 0.87, p < 0.0001 *, n = 18 | M1 0.85, p < 0.001 *, n = 11 |
M2 0.89, p < 0.0001 *, n = 18 | M2 0.79, p < 0.01 *, n = 11 |
M3 0.97, p < 0.001 *, n = 9 | M3 0.85, p = 0.06, n = 5 |