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SupplementalFigure 1. Time frame of the study

Supplemental Figure 2. Development and validation process of machine learning models and integer-based score system (DPC score) to predict parathyroidectomy after kidney transplantation

Supplemental Figure 3. The threshold for DPC scores to detect individuals at high risk of post-transplant parathyroidectomy was determined at the point that maximized F1-score (balance between precision and recall) in train set (high risk ≥ 13 vs. low risk <13).

Supplemental Figure 4. Comparison of discriminatory ability for post-transplant parathyroidectomy between best-performing machine learning model (extreme gradient boosting model) and integer-based score (DPC score) in internal test set and external validation cohort

Supplemental Figure 5. The time-dependent trajectory of machine learning-derived integer-based score (DPC score) during 12 months prior to kidney transplantation in a subset of derivation cohort with measurements at two or more time points (at least three- month interval). Markers and capped spikes indicate median and interquartile range, respectively. *: p<0.05 vs. no post-transplant parathyroidectomy group in a linear mixed model at each time point.

Supplemental Table 1. Model hyperparameters

Supplemental Table 2. Comparison of clinical characteristics of derivation and external validation cohort

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SupplementalFigure 1. Time frame of the study

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Supplemental Figure 2. Development and validation process of machine learning models and integer-based score system (DPC score) to predict parathyroidectomy after kidney transplantation

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Supplemental Figure 3. The threshold for DPC scores to detect individuals at high risk of post-transplant parathyroidectomy was determined at the point that maximized F1-score (balance between precision and recall) in train set (high risk ≥ 13 vs. low risk <13).

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Supplemental Figure 4. Comparison of discriminatory ability for post-transplant parathyroidectomy between best-performing machine learning model (extreme gradient boosting model) and integer-based score (DPC score) in internal test set and external validation cohort

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Supplemental Figure 5. The time-dependent trajectory of machine learning-derived integer-based score (DPC score) during 12 months prior to kidney transplantation in a subset of derivation cohort (n=264/669, 39.4%) with measurements at two or more time points (at least three-month interval). Markers and capped spikes indicate median and interquartile range, respectively. *: p<0.05 vs. no post-transplant parathyroidectomy group in a linear mixed model at each time point.

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Supplemental Table 1. Model hyperparameters

Models Hyperparameters*

Random forest Max_depth=24, min_samples_split=10, min_samples_leaf=2, max_features=’log2’

Extreme gradient boosting booster=’gbtree’, tree_method=’exact’, learning_rate=0.30, max_depth=5, max_leaves=255, subsample=1, colsample_bytree=0.8, gamma=2 Light gradient boosting

machine

max_depth=-1, num_leaves=10, lambda_l2=1, min_data_in_leaf=100, reg_alpha=0.1

Logistic regression C=0.1, solver=’liblinear’

*Hyperparameters that were not stated were set to default values.

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Supplemental Table 2. Comparison of clinical characteristics of derivation and external validation cohort

Variables Derivation set (Severance hospital

cohort) (n=699)

External validation set (KNOW-KT registry, a multi-center, prospective

cohort) (n=542)

P value

Age, year 46 ± 11 46 ± 12 0.887

Women, n (%) 273 (41) 180 (33) 0.007

Body mass index, kg/m2

22.4 ± 3.1 23.0 ± 3.5 0.003

Dialysis duration, months

8 [2-56] 5 [1-30] <0.001

Calcium (albumin-

corrected), mg/dL 8.4 ± 1.2 9.0 ± 1.0 <0.001

Phosphate, mg/dL 5.1 ± 1.3 5.1 ± 1.5 0.403

Albumin, g/dL 4.0 ± 0.5 4.0 ± 0.5 0.006

Parathyroid hormone, pg/mL

202 [108-354]

205 [107-323]

0.669 25-hydroxyvitamin

D, ng/mL

11.6 [7.3-15.4]

10.6 [7.2-15.2]

0.171

Tacrolimus 612 (91) 522 (96) 0.001

Mycophenolate mofetil

597 (89) 484 (89) 0.973

Cyclosporine 135 (20) 16 (3) <0.001

Cause of kidney failure

<0.001 Diabetic kidney

disease

312 (47) 134 (25)

Hypertensive kidney disease

153 (23) 103 (19)

Glomerular disease

161 (24) 192 (35)

Other causes 26 (4) 59 (11)

Unspecified 17 (3) 54 (10)

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