Age-Specific Thyroid Internal Dose Estimation for Koreans

Article information

J. Radiat. Prot. Res. 2021;46(4):170-177
Publication date (electronic) : 2021 December 25
doi : https://doi.org/10.14407/jrpr.2021.00066
1National Radiation Emergency Medical Center, Korea Institute of Radiological and Medical Sciences, Seoul, Korea
2Department of Nuclear Engineering, Hanyang University, Seoul, Korea
Corresponding author: Tae-Eun Kwon, Laboratory of Health Physics, National Radiation Emergency Medical Center, Korea Institute of Radiological and Medical Sciences, 75 Nowon-ro, Nowon-gu, Seoul 01812, Korea, E-mail: ktgrace@kirams.re.kr, https://orcid.org/0000-0002-7252-4634
Received 2021 March 11; Revised 2021 June 17; Accepted 2021 June 22.

Abstract

Background

The International Commission on Radiological Protection is preparing to provide reference dose coefficients for environmental radioiodine intake based on newly developed age-specific biokinetic models. However, the biokinetics of iodine has been reported to be strongly dependent on the dietary intake of stable iodine; for example, the thyroidal uptake of iodine may be substantially lower in iodine-rich regions than in iodine-deficient regions. Therefore, this study attempted to establish a system of age-specific thyroid dose estimation for South Koreans, whose daily iodine intakes are significantly higher than that of the world population.

Materials and Methods

Korean age-specific biokinetic parameters and thyroid masses were derived based on the previously developed Korean adult model and the Korean anatomical reference data for adults, respectively. This study complied with the principles used in the development of age-specific biokinetic models for world population and used the ratios of baseline values for each age group relative to the value for adults to derive age-specific values.

Results and Discussion

Biokinetic model predictions based on the Korean age-specific parameters showed significant differences in iodine behaviors in the body compared to those predicted using the model for the world population. In particular, the Korean age-specific thyroid dose coefficients for 129I and 131I were considerably lower than those calculated for the world population (25%–76% of the values for the world population).

Conclusion

These differences stress the need for Korean-specific internal dose assessments for infants and children, which can be achieved by using the data calculated in this study.

Introduction

The International Commission on Radiological Protection (ICRP) has recently developed a new reference iodine biokinetic model for adults [1] based on extensive human-based data and arranged for the age-specific model [2] to be published. However, regional data provided in ICRP Publication 137 [3] show that the thyroidal uptake rate of iodine may be substantially higher than the ICRP reference uptake rate in regions with inadequate dietary iodine and substantially lower than the reference rate in regions with atypically high dietary iodine. Therefore, in order to predict the iodine biokinetics for a particular population, it is essential to consider the dietary iodine amount for that population. For South Koreans, one of the high-iodine-consuming populations, the mean daily iodine intake has been reported to range from 780 μg·d−1 [4] to a few thousand μg·d−1 [5]. For this reason, iodine biokinetic models have been developed specifically for South Koreans, reflecting the Korean-specific thyroid biokinetics, and a model for adult Koreans was proposed in a previous study [6]. In the development of the Korean model, it was concluded that transfer coefficients for thyroidal uptake rate, hormonal secretion rate, and leakage rate of thyroidal organic iodine as inorganic iodide were significantly different from those in ICRP reference model, and the Korean-specific values were determined to yield measurements of thyroidal iodine and physiological status of Korean adults (see Section 2.4 in [6]).

For a low dose exposure of a few mSv, the use of ICRP reference data based on the ICRP reference model for Koreans may be reasonable and acceptable, particularly when simplicity and consistency of dose assessment are considered. However, when a high dose is predicted, applying the ICRP reference data to Koreans can result in a serious bias; for example, in the case of Radioactive Iodine Therapy (RAIT) with an administration of hundreds of mCi or a radiation emergency accompanied by an unwanted high dose exposure, the estimated thyroid absorbed doses based on ICRP reference data may significantly differ from actual doses received by Korean patients or victims.

Therefore, for more accurate and realistic dose estimations of Korean individuals including Korean infants and children, this study attempted to expand the adult Korean-specific iodine biokinetic model to other age groups—i.e., infants (100 days), 1, 5, 10, and 15 years, respectively—and to produce age-specific thyroid dose coefficients using derived thyroid mass data.

Materials and Methods

1. Age-Specific Iodine Biokinetic Parameters for Koreans

Since it is very difficult to directly measure iodine biokinetics in the immature human body, few investigations of the age-specific iodine biokinetics in Korea have been conducted; thus, available data for Korean infants and children are not sufficient for developing biokinetic models. The best way to develop the Korean age-specific model is to adopt the design principles used in the development of age-specific models for world population with the assumption that relative changes in iodine biokinetics with age for the world population are directly applicable to Koreans. Age-specific iodine models (Fig. 1) were recently developed by Leggett [2], based on data on the biokinetics of iodine in the immature human body, and are being prepared for publication as ICRP reference models. Therefore, in the present study, the age-specific biokinetic parameters (i.e., transfer coefficients) were derived based on the values of Leggett’s age-specific model and the Korean adult model.

Fig. 1

Basic structure of the new biokinetic model for iodine provided in ICRP Publication 137 [3].

In the development of Leggett’s model [2], it was concluded that the following biokinetics of iodine showed an age dependence: (1) the thyroidal uptake of iodine, (2) the biological half-life of organic iodine in the thyroid, and (3) the biological half-life of extrathyroidal organic iodine. However, since the different thyroidal uptake fractions of ingested iodine were observed only in the first week or two of life, it did not affect the youngest age group (100 days). Therefore, in the Leggett’s model [2], transfer coefficients representing the biological half-lives of intra- or extra-thyroidal organic iodine were regarded as age-specific, and the baseline values were determined based on measurement data for infants and children. The same approach was used in the present study. First, the age-specific turnover times of extra-thyroidal organic iodine discussed by Leggett [2] (i.e., 4, 4.5, 5, 5.5, and 6 days in infants, at ages 1, 5, 10, and 15 years, respectively) and the ratios of these times to the corresponding time for adults (i.e., 7 days) were directly applied to Koreans. Because a turnover time of extra-thyroidal organic iodine in the ICRP adult model was not changed in the Korean adult model due to a lack of data for Koreans (see Section 2.3 in [6]), the transfer coefficients involved in the biokinetics of extra-thyroidal organic iodine were directly taken from the baseline values of Leggett’s model [2]. However, for the biological half-life of thyroidal organic iodine showing a significant difference between the Korean adult model and the ICRP model, the baseline values proposed by Leggett [2] cannot be directly used. Therefore, the Korean age-specific biological half-lives were derived from the Korean adult value (i.e., 27 days) using the ratios obtained from Leggett’s model [2]. Note that the transfer coefficient corresponding to the biological half-life of T1/2, is ln2/T1/2. As addressed in the literature for Korean adult model development, another difference between the Korean and ICRP reference models regarding the biological half-life in the thyroid is that, in the Korean model, the organic iodine in the thyroid can be removed into blood, not only as an organic form of iodine but also as an inorganic form of iodide; this is expressed as the transfer from Thyroid 2 to the Blood 1 compartment. Therefore, transfer coefficients representing the biological half-life in the thyroid must be properly apportioned to the Thyroid 2-to-Blood 1 rate and the Thyroid 2-to-Blood 2 rate. In the present study, the values corresponding to the age-specific biological half-lives for Koreans were separated into the two transfer coefficients with the assumption that the apportion ratio is equal to that determined in the Korean adult model (i.e., the ratio of “Thyroid 2-to-Blood 1 rate” and “Thyroid 2-to-Blood 2 rate” is 0.43:0.57).

2. Derivation of Age-Specific Thyroid Mass for Koreans

The thyroid mass is reported to be dependent on not only physical parameters such as total body mass but also nutrition conditions such as dietary iodine intake; for example, the thyroid mass is substantially higher in populations with mild iodine deficiency than in populations with iodine sufficiency. The reference values of age-specific thyroid mass for the worldwide population were provided in ICRP Publication 89 [7], and the values for adult Koreans were reported elsewhere [8]. However, for Korean infants and children, age-specific thyroid masses have not been reported, and few relevant data are available. Although the International Atomic Energy Agency (IAEA) has provided the organ masses, including the thyroid, for reference Asian men [9] according to the five age groups, it is not appropriate to directly apply them to Koreans because there is a significant discrepancy between the values of adult thyroid masses quoted in the IAEA report (19 g for male, 17 g for female) and the values applicable to the Korean reference man (15 g for male, 12 g for female). Therefore, in the present study, the Korean age-specific thyroid masses were derived from the reference value for Korean adult male by using the ratios of age-specific values to the adult value; this is a similar approach to the one used for the determination of age-specific biokinetic parameters. To derive the reference thyroid masses including blood contents, age-dependent values for regional blood distribution provided by Wayson [10] were used.

3. Thyroid Dose Coefficients Calculation

Thyroid dose coefficients, hTh, can be calculated from the following equation:

(1) hTh(Gy/Bq)=ia˜(i,τ)S(thi)

where α̃(i,τ) is the cumulative activity in the source region i during the integration time τ, and S(thi) is the S-value, which means the energy absorbed per unit mass of the target organ (i.e., the thyroid) per transformation of the iodine in source organ i. For the calculation of α̃(i,τ), the Korean biokinetic model for iodine coupled with the human respiratory tract model of ICRP Publication 66 [11] and the human alimentary tract model of ICRP Publication 100 [12] was calculated with first-order differential equations. For simplicity, changes of the transfer coefficients with an increase in age were not considered in the calculations of cumulative activities. The integration time τ is 50 years for adults, and the period from each of the specified pre-adult ages to 70 years for infants and children, respectively. The S-value is typically derived from the values of the absorbed fraction (AF) or the specific absorbed fraction (SAF), which are computed from computational anthropomorphic phantoms using a Monte Carlo simulation technique. For internal exposure to iodine, because the thyroid dose is predominantly attributable to self-irradiation of particles emitted from thyroidal iodine, the source organ for the S-value can be limited to the thyroid itself (i.e., S(thth)). The age-specific values for S(thth) were derived from the values calculated by Zanzonico [13]. The values of S(thth) were by using the ratios of age-specific thyroid masses for Koreans to those used in the literature.

Results and Discussion

1. Korean Age-Specific Biokinetic Parameters

The derived Korean age-specific transfer coefficients are listed in Table 1. In accordance with the principle of Leggett’s model [2], the leakage rate of thyroidal organic iodine (i.e., the Thyroid 2-to-Blood 1 rate and the Thyroid 2-to-Blood 2 rate) and the turnover rates of extra-thyroidal organic iodine are derived as age-specific values. In particular, the Blood 1-to-Thyroid 1 rate, Thyroid 2-to-Blood 1 rate, and Thyroid 2-to-Blood 2 rate represent Korean-specific values, which are different from the ICRP references, and the Blood 1-to-Thyroid 1 rate in the Korean adult model was directly adopted for the thyroid uptake rates in Korean infants and children.

Korean Age-Specific Biokinetic Parameters

2. Biokinetic Model Prediction

As examples, the thyroid retention function and the daily urinary excretion function, assuming no radioactive decay, for 5 years old predicted on the basis of the Korean model are compared with those predicted by other models in Fig. 2. In addition to the results based on the Leggett’s model [2], the predicted values based on the ICRP Publication 56 model (current ICRP age-specific model) [14] were drawn together to show the difference in the model prediction resulting from differences in model structures. Compared to the prediction of the ICRP Publication 56 model, the thyroid retention function predicted by the Korean model starts at higher values but remains at significantly lower values after 1 hour of iodine intake. This difference in the tendency of the two thyroid retention functions results from the difference in the model structures. As addressed in the literature discussed by Leggett [1], the new iodine biokinetic model structure depicts a faster thyroidal uptake of inorganic iodide but a rapid return to the blood after a shorter retention. On the other hand, compared to Leggett’s model [2], the Korean model consistently predicts a substantially lower thyroidal uptake of iodine from iodine exposure. In addition, the decrease in thyroidal iodine after 1 day was also faster in the Korean model. These deviations from the predictions of the Leggett’s model [2] can be explained in the same way as in the Korean adult model development [6]. In brief, these differences result from the faster thyroid uptake rate of blood inorganic iodide and the shorter biological half-life in the thyroid.

Fig. 2

Predicted thyroid retention functions (A) and daily urinary excretion functions (B) for 5-year-old, based on the ICRP Publication 56 model [14], Leggett’s model [2], and the Korean model (this study).

It is natural that the Korean model predicts a much quicker excretion of urinary iodine in the early phase; however, after approximately 30 day, the trends in the respective curves are interchanged. Because urinary excretion is directly related to the inorganic iodide concentration in the blood, the difference in the daily urinary excretion of iodine can be explained by the inorganic iodide behavior. In the Korean model, a larger amount of inorganic iodide remains in the blood due to the lower uptake of thyroid in the early phase, but the decrease in inorganic iodide in blood might be faster due to the lower recycling of blood iodide. The differences described above were observed in an identical fashion, regardless of age. A more in-depth discussion can be found in a previous study on Korean adult model development [6].

Age-specific curves for thyroidal iodine and daily urinary excretion in Koreans are shown in Fig. 3. The thyroidal iodine peaks at about 0.18 after 1 day regardless of the age group and decreases depending on the age-specific biological half-life. The decrease in thyroidal iodine was fastest in infants with the shortest biological half-life. Therefore, it is natural that urinary excretion of iodine in the early phase is the greatest in infants.

Fig. 3

Age-specific thyroid retention functions (A) and daily urinary excretion functions (B) for Koreans, assuming no radioactive decay.

3. Age-Specific Thyroid Mass and S-Value for Koreans

The derived age-specific thyroid masses for ICRP reference and for Koreans are shown in Table 2. The determined Korean thyroid masses were approximately 24% lower than the ICRP reference values, but comparable to or a little higher than the thyroid masses for Japanese infants and children (n=38,063) measured by ultrasound examination in the Fukushima Health Management Survey [15]. Although data were not available for the validation of all age-specific values, the thyroid mass for Korean newborns (0.97 g) seemed to be reasonable, considering the difference between the derived thyroid widths (i.e., sum of lengths for left and right lobes) for American fetuses (2.46 cm for 40 weeks [16]) and Korean fetuses (2.07 cm for 40 weeks [17]). Assuming that thyroid lengths for Korean fetuses are smaller as the same ratio as that applicable to thyroid width (i.e., 2.07/2.46=0.84) and that thyroid thicknesses for Korean fetuses are equal to those for American fetuses, the thyroid volumes for the Korean fetuses would be approximately 71% of those for the American fetuses. The age-specific S-values for thyroid self-irradiation for Koreans, derived by mass-correction based on the thyroid mass of Koreans, are presented in Table 3.

Derived Korean Age-Specific Thyroid Masses

Derived Korean Age-Specific S-Values for Thyroid Self-Irradiation

4. Cumulative Activity in the Thyroid and Thyroid Dose Coefficients

The ratios of the cumulative activities in the thyroid of injected iodine calculated using the Korean age-specific models, compared with those calculated using Leggett’s model [2], are listed in Table 4. Due to the lower thyroidal uptake of iodine and the shorter biological half-life in Koreans, the values based on the Korean model were substantially lower (by 36%–80%) than those based on Leggett’s model [2]. The differences were particularly striking for the longer-lived isotopes (e.g., 125I and 129I). The larger differences for the longer-lived isotopes result from the fact that the decrease in the thyroid of those iodine isotopes with a long physical half-life is predominantly determined by the rate of physiological clearance rather than the rate of radioactive decay. In contrast, for iodine isotopes with a short half-life, the biological differences have a lesser effect on the cumulative activity in the thyroid because significant fractions of those iodine isotopes are lost to radioactive decay before they can be absorbed by the thyroid or cleared from the thyroid on biological timescales.

Comparison of Cumulative Activity in the Thyroid of Injected Iodine Based on Leggett’s Model [2] and the Korean Model

As described previously, in the calculations of cumulative activities in the thyroid, the continuous changes of the transfer coefficients with age were not considered; however, this does not have a significant effect not only for short-lived iodine but also for longer-lived iodine due to the short biological half-life in the thyroid (i.e., 27 days for Koreans). For instance, the cumulative activities in the thyroid of injected 129I (T1/2=1.6×107 years) for infant (3 months) based on the ICRP Publication 56 model with considering and without considering the age-dependent change of transfer coefficient were 5.637×105 and 5.512×105 nt/Bq, respectively.

In Table 5, the age-specific thyroid dose coefficients for injected 125I and 131I calculated using the Korean model were compared with those provided by Leggett [2]. Although the 24% lower target organ masses (i.e., thyroid masses) of Korean infants and children were predicted to increase the thyroid dose, the age-specific thyroid dose coefficients for Koreans were still noticeably lower than those of Leggett’s model [2]. These differences in thyroid dose coefficients suggest that the thyroids of Korean infants, children, and adults would be less irradiated than predicted by ICRP reference age-specific models, for given quantities of radioiodine exposure. However, the use of the Korean age-specific biokinetic model would not have a significant effect on the relative age-related variations in thyroid dose coefficients. For practical uses, dose coefficients for inhaled and ingested 125I and 131I were calculated and provided in Supplementary Table S1 and Figs. S1–S6, together with corresponding thyroid retention functions and dose per content functions.

Thyroid Dose Coefficients for Injected Iodine Based on Leggett’s Model [2] and the Korean Model

Conclusion

This study expanded the iodine biokinetic model for Korean adults to infants and children, by deriving age-specific biokinetic parameters. The model predictions and thyroid dose coefficients based on the Korean age-specific model showed noticeable deviations from the values proposed for the worldwide population, thus emphasizing the need to consider Korean-specific dose estimations for infants and children. However, the biokinetic parameters and thyroid masses of Korean infants and children are not perfect because they were not based on Korean measurement data but were indirectly derived. Fundamental studies on thyroid biokinetics and anatomy in the Korean immature body should be carried out to improve the accuracy of Korean age-specific biokinetic and dosimetric models. In addition, for more accurate calculations of age-specific biokinetic model, the continuous changes of the transfer coefficients with an increase in age should be considered.

Notes

Conflict of Interest

No potential conflict of interest relevant to this article was reported.

Author Contribution

Conceptualization: Kwon T. Data curation: Kwon T. Formal analysis: Kwon T. Funding acquisition: Jin YW. Methodology: Kwon T, Ha W, Chung Y. Visualization: Kwon T. Writing - original draft: Kwon T. Writing - review & editing: Kwon T, Ha W, Jin YW, Yoon S, Chung Y. Investigation: Kwon T, Ha W, Yoon S. Resources: Kwon T. Software: Kwon T. Supervision: Kwon T, Jin YW, Chung Y. Validation: Kwon T, Ha W, Jin YW, Chung Y.

Acknowledgements

This study was supported by a grant of the Korea Institute of Radiological and Medical Sciences (KIRAMS), funded by the Nuclear Safety and Security Commission (NSSC), Republic of Korea (No. 50091-2021).

Supplementary Materials

Supplementary materials can be found via https://doi.org/10.14407/jrpr.2021.00066.

References

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Article information Continued

Fig. 1

Basic structure of the new biokinetic model for iodine provided in ICRP Publication 137 [3].

Fig. 2

Predicted thyroid retention functions (A) and daily urinary excretion functions (B) for 5-year-old, based on the ICRP Publication 56 model [14], Leggett’s model [2], and the Korean model (this study).

Fig. 3

Age-specific thyroid retention functions (A) and daily urinary excretion functions (B) for Koreans, assuming no radioactive decay.

Table 1

Korean Age-Specific Biokinetic Parameters

From To Age group

Infant (3 mo) 1 yr 5 yr 10 yr 15 yr Adult
Intrathyroidal iodine Blood_1 Thyroid_1 4.48 4.48 4.48 4.48 4.48 4.48
Thyroid_1 Thyroid_2 95 95 95 95 95 95
Thyroid_1 Blood_1 36 36 36 36 36 36
Thyroid_2 Blood_2 0.0773 0.0515 0.0258 0.0155 0.0119 0.0086
Thyroid_2 Blood_1 0.1537 0.1025 0.0512 0.0307 0.0237 0.0171

Extrathyroidal inorganic iodide Blood_1 UB-cont 11.84 11.84 11.84 11.84 11.84 11.84
Blood_1 S-glands 5.16 5.16 5.16 5.16 5.16 5.16
Blood_1 St-wall 8.6 8.6 8.6 8.6 8.6 8.6
Blood_1 Kidneys_1 25 25 25 25 25 25
Blood_1 Liver_1 15 15 15 15 15 15
Kidneys_1 Blood_1 100 100 100 100 100 100
Liver_1 Blood_1 100 100 100 100 100 100
S-glands O-cavity 50 50 50 50 50 50
St-wall St-cont 50 50 50 50 50 50
Blood_1 Other_1 600 600 600 600 600 600
Other_1 Blood_1 330 330 330 330 330 330
Other_1 Other_2 35 35 35 35 35 35
Other_2 Other_1 56 56 56 56 56 56

Extrathyroidal organic iodine Blood_2 Other_3 26.30 23.30 21.00 19.10 17.50 15.00
Other_3 Blood_2 36.80 32.70 29.40 26.70 24.50 21.00
Other_3 Other_4 2.10 1.87 1.68 1.53 1.40 1.20
Other_4 Other_3 1.09 0.96 0.87 0.79 0.72 0.62
Other_4 Blood_1 0.25 0.22 0.20 0.18 0.16 0.14
Blood_2 Kidneys_2 6.30 5.60 5.04 4.58 4.20 3.60
Kidneys_2 Blood_2 36.80 32.70 29.40 26.70 24.50 21.00
Kidneys_2 Blood_1 0.25 0.22 0.20 0.18 0.16 0.14
Blood_2 Liver_2 36.80 32.70 29.40 26.70 24.50 21.00
Liver_2 Blood_2 36.80 32.70 29.40 26.70 24.50 21.00
Liver_2 Blood_1 0.25 0.22 0.20 0.18 0.16 0.14
Liver_2 RC-cont 0.14 0.12 0.11 0.10 0.09 0.08

S-glands, salivary glands; O-cavity, oral cavity; St-wall, stomach wall; St-cont, stomach content; RC-cont, right colon content.

Table 2

Derived Korean Age-Specific Thyroid Masses

Age group Thyroid mass (g)
ICRP 89a) Asian Japaneseb) Korean Korean/ICRP 89
Newborn 1.52 - 1.0 0.98 0.76
1 yr 1.99 2.3 1.3 1.28 0.72
5 yr 4.05 4.5 2.5 2.60 0.75
10 yr 9.18 8.4 4.6 5.89 0.74
15 yr 14.32 16 7.6 9.20 0.74
Adult male 23.36 19 - 15.00 0.75

ICRP, International Commission on Radiological Protection.

a)

Blood contents in thyroid were derived using age-dependent values for regional blood distribution provided by Wayson [10].

b)

Graphically extracted from data (n=38,063) of the Fukushima Health Management Survey [15].

Table 3

Derived Korean Age-Specific S-Values for Thyroid Self-Irradiation

S(thth) (Sv/Bq·s)
Infant (3 mo) 1 yr 5 yr 10 yr 15 yr Adult
125I 3.43×10−12 2.85×10−12 1.53×10−12 6.91×10−13 4.41×10−13 3.00×10−13
131I 2.85×10−11 2.37×10−11 1.24×10−11 5.34×10−12 3.34×10−12 2.20×10−12

Table 4

Comparison of Cumulative Activity in the Thyroid of Injected Iodine Based on Leggett’s Model [2] and the Korean Model

Isotopes Half-life Ratio of cumulative activity (Korean/Leggett)
Infant (3 mo) 1 yr 5 yr 10 yr 15 yr Adult
122I 3.63 min 0.62 0.62 0.62 0.62 0.62 0.62
124I 4.18 d 0.44 0.49 0.56 0.60 0.62 0.64
125I 59.4 d 0.23 0.24 0.28 0.32 0.35 0.38
129I 1.6×107 yr 0.20 0.20 0.20 0.20 0.20 0.20
131I 8.02 d 0.36 0.41 0.49 0.55 0.57 0.60
132I 2.3 h 0.62 0.62 0.62 0.62 0.62 0.62
134I 52.5 min 0.63 0.63 0.63 0.63 0.63 0.63

Table 5

Thyroid Dose Coefficients for Injected Iodine Based on Leggett’s Model [2] and the Korean Model

Thyroid dose coefficients (Gy/Bq)

Infant (3 mo) 1 yr 5 yr 10 yr 15 yr Adult
125I
 Leggett 9.80×10−7 1.20×10−6 1.00×10−6 6.10×10−7 4.50×10−7 3.30×10−7
 Korean 3.20×10−7 3.87×10−7 3.83×10−7 2.60×10−7 2.01×10−7 1.70×10−7
 Korean/Leggett ratio 0.33 0.32 0.38 0.43 0.45 0.52

131I
 Leggett 3.60×10−6 3.60×10−6 2.20×10−6 1.10×10−6 7.10×10−7 4.50×10−7
 Korean 1.85×10−6 1.99×10−6 1.48×10−6 7.67×10−7 5.17×10−7 3.65×10−7
 Korean/Leggett ratio 0.51 0.55 0.67 0.70 0.73 0.81