Supplementary Data. Formula S1. Calculation of IG fluctuation from continuous glucose monitoring profiles Z T 1 T

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Supplementary Data Formula S1. Calculation of IG fluctuation from continuous glucose monitoring profiles 1 T Z T O jig(t) IGjdt IG, interstitial glucose; IG(t), IG value at time t; IG, mean IG from the patient profile; T, duration of continuous glucose monitoring profile (excluding gaps with no, or invalid IG measurements). Supplementary Table S1. DUAL I Extension Baseline Characteristics Characteristic IDegLira (n = 833) IDeg (n = 413) Liraglutide (n = 414) Female/male, % 48/52 52/48 50/50 Age, years 55.1 (9.9) 54.9 (9.7) 55.0 (10.2) BMI, kg/m 2 31.2 (5.2) 31.2 (5.3) 31.3 (4.8) Duration of diabetes, years 6.6 (5.1) 7.0 (5.3) 7.2 (6.1) HbA 1c, % 8.3 (0.9) 8.3 (1.0) 8.3 (0.9) HbA 1c, mmol/mol 67 (9.7) 67 (10.7) 67 (10.3) FPG, mmol/l 9.2 (2.4) 9.4 (2.7) 9.0 (2.6) SMBG, a mmol/l Before bedtime 10.8 (3.2) c 11.0 (3.3) f 10.7 (3.4) i 04:00 9.3 (2.6) d 9.2 (2.5) g 9.1 (2.8) j Fasting C-peptide, nmol/l b 0.72 (46) e 0.71 (54) h 0.68 (51) k Values are mean (SD) unless otherwise stated. Adapted from Gough et al. 15 a SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. b Values are geometric mean (CV). c n = 788. d n = 790. e n = 803. f n = 392. g n = 397. h n = 402. i n = 393. j n = 401. k n = 398. BMI, body mass index; CV, coefficient of variation; FPG, fasting plasma glucose; HbA 1c, glycated hemoglobin; IDeg, insulin degludec; IDegLira, fixed-ratio combination of insulin degludec and liraglutide; SD, standard deviation; SMBG, self-monitored blood glucose.

Characteristic Supplementary Table S2. DUAL II Baseline Characteristics IDegLira n = 199 IDeg n = 199 Female/male, % 44/56 47/53 Age, years 56.8 (8.9) 57.5 (10.5) BMI, kg/m 2 33.6 (5.7) 33.8 (5.6) Duration of diabetes, years 10.3 (6.0) 10.9 (7.0) HbA 1c, % 8.7 (0.7) 8.8 (0.7) HbA 1c, mmol/mol 72 (8) 73 (8) FPG, mmol/l 9.7 (2.9) 9.6 (3.1) SMBG, a mmol/l Before bedtime 11.9 (3.5) c 11.5 (3.3) e 04:00 9.1 (3.2) d 9.2 (3.0) f Fasting C-peptide, nmol/l b 0.54 (54) 0.50 (59) g Full analysis set. Values are mean (SD) unless otherwise stated. Adapted from Buse et al. 13 a SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. b Values are geometric mean (CV). c n = 193 d n = 191. e n = 194. f n = 193. g n = 198. Time point Supplementary Table S3. Overview of Missing Continuous Glucose Monitoring Data at Baseline and Week 52 Reason for missing data IDegLira (n = 131), n (%) IDeg (n = 64), n (%) Liraglutide (n = 65), n (%) Baseline All 27 (21) 11 (17) 13 (20) CGM download, upload, or recording failure 6 (5) 2 (3) 4 (6) Technical problem with CGM sensor 2 (2) 1 (2) Withdrawal of subject a 2 (3) Other 3 (2) No information 16 (12) 9 (14) 6 (9) Week 52 All 48 (37) 29 (45) 23 (35) CGM download, upload, or recording failure 11 (8) 7 (11) 3 (5) Technical problem with CGM sensor 1 (1) 1 (2) Withdrawal of subject a 23 (18) 13 (20) 13 (20) Site closed prematurely 11 (8) 5 (8) 5 (8) Other 1 (1) 3 (5) 2 (3) No information 1 (1) Baseline or week 52 All 59 (45) 30 (47) 28 (43) Values are number of subjects (%). a Withdrawal from trial or sub-study participation. CGM, continuous glucose monitoring.

Supplementary Table S4. Baseline Characteristics of Patients in the DUAL I Extension Sub-Study with Usable Continuous Glucose Monitoring Data at Week 52 Characteristic IDegLira (n = 72) IDeg (n = 34) Liraglutide (n = 37) Female/male, % 43/57 27/73 41/59 Age, years 55.9 (8.5) 55.6 (9.3) 53.3 (10.7) BMI, kg/m 2 33.0 (4.2) 32.8 (4.0) 33.1 (4.5) Duration of diabetes, years 8.0 (5.9) 7.3 (4.7) 7.9 (4.8) HbA 1c, % 8.1 (0.8) 8.0 (0.7) 8.2 (1.0) HbA 1c, mmol/mol a 65 (9) 64 (8) 66 (11) FPG, mmol/l 9.0 (1.9) 9.3 (2.9) 8.9 (2.0) Fasting C-peptide, nmol/l b 0.69 (47) c 0.69 (59) 0.71 (48) d Values are mean (SD) unless otherwise stated. a Calculated, not measured. b Values are geometric mean (CV). c n = 70. d n = 36. CGM parameter Supplementary Table S5. Glycemic Fluctuation Assessed by MAGE, LBGI, and HBGI in Patients with Type 2 Diabetes Treated for 52 Weeks in the DUAL I Extension Continuous Glucose Monitoring Sub-Study IDegLira (n = 131) IDeg (n = 64) ETD [95% CI]: IDegLira vs. IDeg Lira (n = 65) ETD [95% CI]: IDegLira vs. Lira MAGE (mmol/l) Mean at baseline 3.6 (1.2) 3.7 (1.5) 3.7 (1.3) Mean D, w52-1.3 (1.6) -0.5 (2.0) -0.7 [-1.3 to -0.1] (P = 0.0229) -0.9 (2.2) -0.3 [-0.9 to 0.3] (P = 0.2939) LBGI (mmol/l) Mean at baseline 30.2 (20.7) 31.6 (21.0) 36.7 (20.2) Mean D, w52 17.2 (21.5) 13.2 (21.4) 0.1 [-4.1 to 4.2] (P = 0.9819) 7.8 (23.0) 3.8 [-0.2 to 7.9] (P = 0.0622) HBGI (mmol/l) Mean at baseline 65.4 (4.9) 65.4 (4.5) 65.7 (5.2) Mean D, w52-7.8 (9.4) -5.7 (4.4) -2.4 [-5.4 to 0.6] (P = 0.1110) -5.0 (6.1) -2.8 [-5.7 to 0.1] (P = 0.0545) Values are mean (SD) unless otherwise stated. Parameters are analyzed based on observed data using an ANCOVA method with treatment, region, baseline HbA 1c stratum ( 8.3% [ 67 mmol/mol], >8.3% [>67 mmol/mol]) and previous OAD treatment as fixed effects and baseline response as covariates. ANCOVA, analysis of covariance; CI, confidence interval; ETD, estimated treatment difference; HBGI, high blood glucose index; IG, interstitial glucose; LBGI, low blood glucose index; Lira, liraglutide; MAGE, mean amplitude of glycemic excursions; OAD, oral antidiabetic drug; w, week.

Supplementary Table S6. Episodes of Nocturnal Low Interstitial Glucose (<3.9 and <3.1 mmol/l) Among Patients in the DUAL I Extension Continuous Glucose Monitoring Sub-Study IDegLira IDeg Lira IG <3.9 mmol/l during nocturnal period (00:01 05:59) Episodes, number Baseline 12 4 6 Week 52 29 25 5 Rate, number/100 h Baseline 2.0 1.4 2.1 Week 52 4.5 8.0 1.5 IG <3.1 mmol/l during nocturnal period (00:01 05:59) Episodes, number Baseline 6 6 6 Week 52 13 7 0 Rate, number/100 h Baseline 1.0 2.0 2.1 Week 52 2.0 2.2 0 Sub-study analysis set.

SUPPLEMENTARY FIG. S1. Distribution of postprandial SMBG* measurements across treatment arms in (a) DUAL I and (b) DUAL II at baseline and EOT. *SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. Data are based on FAS, with LOCF for all subjects with a full nine-point profile at baseline. EOT, end-oftrial; FAS, full analysis set; IDeg, insulin degludec; IDegLira, fixed-ratio combination of insulin degludec and liraglutide; Lira, liraglutide; LOCF, last observation carried forward; SMBG, self-monitored blood glucose.

SUPPLEMENTARY FIG. S2. Proportion of patients with all three postprandial SMBG assessments <9.0 mmol/l. SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. Data are based on FAS, with LOCF for all patients with a full nine-point profile at baseline; P-values are derived from logistic regression with treatment, region, baseline HbA 1c stratum ( 8.3% [ 67 mmol/mol], >8.3% [>67 mmol/mol]), and previous OAD treatment as fixed effects. HbA 1c, glycosylated hemoglobin; OAD, oral antidiabetic drug; OR, odds ratio.

SUPPLEMENTARY FIG. S3. Distribution of preprandial SMBG* measurements across treatment arms in (a) DUAL I and (b) DUAL II at baseline and EOT. *SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. Data are based on FAS, with LOCF for all patients with a full nine-point profile at baseline..

SUPPLEMENTARY FIG. S4. Proportion of patients with all four preprandial SMBG* assessments 3.9 7.2 mmol/l. *SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. Data are based on FAS, with LOCF for all patients with a full nine-point profile at baseline; P-values are derived from logistic regression with treatment, region, baseline HbA 1c stratum ( 8.3% [ 67 mmol/mol], >8.3% [>67 mmol/mol]), and previous OAD treatment as fixed effects..

SUPPLEMENTARY FIG. S5. Proportion of patients with all nine SMBG* values between 3.9 and <9 mmol/l. *SMBG assessed with glucose meter as plasma equivalent values of capillary whole blood glucose. Data are based on FAS, with LOCF for all patients with a full nine-point profile at baseline; P-values are derived from logistic regression with treatment, region, baseline HbA 1c stratum ( 8.3% [ 67 mmol/mol], >8.3% [>67 mmol/mol]) and previous OAD treatment as fixed effects..