Kansas State University College of Veterinary Medicine
Mississippi State University College of Veterinary Medicine
Virginia-Maryland Regional College of Veterinary Medicine
Texas A & M University College of Veterinary Medicine.
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PK superpositioning SOP

APPENDIX F

A. Drug Model Report

Drug Model Details

PK Model

    Absorption Compartment: Abs

        Receives Formulation PPG

        Absorption Flow [Ka] to Compartment Plasma

    Central Compartment: Plasma

        Flow [CL0] to Compartment Elim

    Elimination Compartment: Elim

Model Blocks

 1. Abs: Absorption Compartment

        Amount Variable: A1

        Initial Amount: 0

        Outputs:

            A1 {unit}

 

 2. CL0: Flow

        From: Central Cpt. Plasma

        To: Elimination Cpt. Elim

        Forward Rate CL0 = K10_variability   default(0)

        Inputs:

            F = 1

            CL0 = K10_variability  default(0) {1/h}

 

 3. Concentration: Response

        Adherence model: One-coin

        Inputs:

            i = C  default(0)

            Dt = 0 {h}

            P = 0

        Outputs:

            Concentration

 

 4. Elim: Elimination Compartment

        Amount Variable: A0

        Initial Amount: 0

        Outputs:

            A0 {unit}

 

 5. K10_variability: Continuous Distribution

        Units: {1/h}

        Type: Lognormal

        Level: Subject Parameter

        True Mean(x): 

        sd(x):

        Inputs:

            mean = 2.8516 {1/h}

            sd = 1.7321 {1/h}

            mult = 1

            lo = -2.34496 {1/h}

            hi = 8.04812 {1/h}

        Outputs:

            K10_variability {1/h}

        Comment:

            Low and High are plus or minus 3 SD

 

 6. Ka: Flow

        From: Absorption Cpt. Abs

        To: Central Cpt. Plasma

        Forward Rate Ka = Ka_variability   default(1)

        Inputs:

            F = 1

            Ka = Ka_variability  default(1) {1/h}

 

 7. Ka_variability: Continuous Distribution

        Units: {1/h}

        Type: Lognormal

        Level: Subject Parameter

        True Mean(x): 

        sd(x):

        Inputs:

            mean = 0.113197 {1/h}

            sd = 0.049678 {1/h}

            mult = 1

            lo = -0.0367128 {1/h}

            hi = 0.261356 {1/h}

        Outputs:

            Ka_variability {1/h}

        Comment:

            Low and High are plus or minus 3 SD

 

 8. Plasma: Central Compartment

        Concentration Variable: C

        Initial Concentration: 0

        Volume V = Vd_Kg   default(1000)

        Inputs:

            V = Vd_Kg  default(1000) {mL}

            PlasmaIRate = 0 {unit/h}

        Outputs:

            A {unit}

            C {unit/mL}

 

 9. population: Covariate Distribution Model

        Covariates:

            Weight: Units {kg}

        Sub-Population: Default1

            Distribution: Weight

                    Type: Normal

                    Mean(x):  100

                    cv(x)%: 5

                    Low: 96

                    High: 104

 

10. PPG: Formulation

        Dose into compartment: Abs

        Adherence model: One-coin

        Inputs:

            Dt = 0 {h}

            P = 0

        Outputs:

            PPG

 

11. Vd_Kg: Expression

         Vd_variability* Weight

        Outputs:

            Vd_Kg {mL}

 

12. Vd_variability: Continuous Distribution

        Units: {mL/kg}

        Type: Lognormal

        Level: Subject Parameter

        True Mean(x): 

        sd(x):

        Inputs:

            mean = 438.443 {mL/kg}

            sd = 186.483 {mL/kg}

            mult = 1

            lo = -121.006 {mL/kg}

            hi = 997.892 {mL/kg}

        Outputs:

            Vd_variability {mL/kg}

        Comment:

            Low and High are plus or minus 3 SD

Model Parameters

Parameter {Units}

Default Value

CL0_F

1

Concentration_Dt {h}

0

Concentration_P

0

K10_variability_hi {1/h}

8.04812

K10_variability_lo {1/h}

-2.34496

K10_variability_mean {1/h}

2.8516

K10_variability_mult

1

K10_variability_sd {1/h}

1.7321

Ka_F

1

Ka_variability_hi {1/h}

0.261356

Ka_variability_lo {1/h}

-0.0367128

Ka_variability_mean {1/h}

0.113197

Ka_variability_mult

1

Ka_variability_sd {1/h}

0.049678

PlasmaIRate {unit/h}

0

PPG_Dt {h}

0

PPG_P

0

Vd_variability_hi {mL/kg}

997.892

Vd_variability_lo {mL/kg}

-121.006

Vd_variability_mean {mL/kg}

438.443

Vd_variability_mult

1

Vd_variability_sd {mL/kg}

186.483

Model Equations

  1. if(iSubPop==0) then Weight = normal1(1,100,(100)*(5)/1d2,96,104){kg} endif

  2. Temp_00 = lgnMeanSD(1, Vd_variability_mean, Vd_variability_sd, Vd_variability_lo, Vd_variability_hi){mL/kg}

  3. Vd_variability = Vd_variability_mult*Temp_00

  4. Vd_Kg = Vd_variability*Weight

  5. Temp_01 = lgnMeanSD(1, Ka_variability_mean, Ka_variability_sd, Ka_variability_lo, Ka_variability_hi){1/h}

  6. Ka_variability = Ka_variability_mult*Temp_01

  7. Temp_02 = lgnMeanSD(1, K10_variability_mean, K10_variability_sd, K10_variability_lo, K10_variability_hi){1/h}

  8. K10_variability = K10_variability_mult*Temp_02

  9. V = Vd_Kg

 10. Ka = Ka_variability

 11. CL0 = K10_variability

 12. C = A/V

 13. A1' = -(A1*Ka)

 14. A0' = C*V*CL0

 15. Concentration_i = C

 16. A' = A1*Ka-C*V*CL0

B. Protocol Report

Study Objectives

Learn TS2 1-cmpt model

Investigation Plan

Study Population and Subject Selection

Total number of subjects: 1000

.Number of centers: 1.

Center sizes:

Center Number

Center Name

Center Size

1

Center 1

1000

 

Each center has same population: Default1.

Inclusion Criteria

None.

 

Exclusion Criteria

None.

Study Design

Lead-in Phase

No lead-in phase.

 

Study Type: Parallel.

Treatments:

·        Treatment Arm 1

Randomization Procedures

Block Randomized allocation.

Include

Treatment Arm

Allocation Ratio

Subject Count

Yes

Treatment Arm 1

1

1000

Block Size:

2

 

Total Subject Count:

1000

Treatments and Observations

Treatments used in the study:

Treatment Arm

Drug/Formulation

Dose

Schedule

Treatment Arm 1

PPG

15000 unit / kg

Dose(s) at 0, 12, 24, 36, 48, 60, 72 Hours

 

Observations in the study:

Response(s)

Measurement Schedule

Concentration

Every hr for 84 hours: Sample(s) at: 0Hr every 1 Hours for 85 Hours.

 

Follow-up Phase

No follow-up phase.

Active Phase Timeline

Table of Events

 

 

 

 

 

 

 

 

Treatments / Observations

Treatment Arm 1

Observations

Time / Event

Week

Day

Hour

Minute

PPG 15000 unit / kg

Concentration

Dosing/

Sampling Times

1

1

0

0

X

X

1

1

1

0

 

X

1

1

2

0

 

X

1

1

3

0

 

X

1

1

4

0

 

X

1

1

5

0

 

X

1

1

6

0

 

X

1

1

7

0

 

X

1

1

8

0

 

X

1

1

9

0

 

X

1

1

10

0

 

X

1

1

11

0

 

X

1

1

12

0

X

X

1

1

13

0

 

X

1

1

14

0

 

X

1

1

15

0

 

X

1

1

16

0

 

X

1

1

17

0

 

X

1

1

18

0

 

X

1

1

19

0

 

X

1

1

20

0

 

X

1

1

21

0

 

X

1

1

22

0

 

X

1

1

23

0

 

X

1

2

0

0

X

X

1

2

1

0

 

X

1

2

2

0

 

X

1

2

3

0

 

X

1

2

4

0

 

X

1

2

5

0

 

X

1

2

6

0

 

X

1

2

7

0

 

X

1

2

8

0

 

X

1

2

9

0

 

X

1

2

10

0

 

X

1

2

11

0

 

X

1

2

12

0

X

X

1

2

13

0

 

X

1

2

14

0

 

X

1

2

15

0

 

X

1

2

16

0

 

X

1

2

17

0

 

X

1

2

18

0

 

X

1

2

19

0

 

X

1

2

20

0

 

X

1

2

21

0

 

X

1

2

22

0

 

X

1

2

23

0

 

X

1

3

0

0

X

X

1

3

1

0

 

X

1

3

2

0

 

X

1

3

3

0

 

X

1

3

4

0

 

X

1

3

5

0

 

X

1

3

6

0

 

X

1

3

7

0

 

X

1

3

8

0

 

X

1

3

9

0

 

X

1

3

10

0

 

X

1

3

11

0

 

X

1

3

12

0

X

X

1

3

13

0

 

X

1

3

14

0

 

X

1

3

15

0

 

X

1

3

16

0

 

X

1

3

17

0

 

X

1

3

18

0

 

X

1

3

19

0

 

X

1

3

20

0

 

X

1

3

21

0

 

X

1

3

22

0

 

X

1

3

23

0

 

X

1

4

0

0

X

X

1

4

1

0

 

X

1

4

2

0

 

X

1

4

3

0

 

X

1

4

4

0

 

X

1

4

5

0

 

X

1

4

6

0

 

X

1

4

7

0

 

X

1

4

8

0

 

X

1

4

9

0

 

X

1

4

10

0

 

X

1

4

11

0

 

X

1

4

12

0

 

X

 

C. Mean time-concentration-SD profile for the simulation. 

 

TimeVal

Mean of Concentration

Standard Deviation of Concentration

CV% of Concentration

P5 of Concentration

0

0

0

 

0

1

1.60444

1.14949

71.6444

0.425586

2

1.69535

1.34973

79.6135

0.402704

3

1.58018

1.3111

82.9717

0.379286

4

1.43031

1.20464

84.2224

0.350451

5

1.28308

1.08491

84.5546

0.312359

6

1.14786

0.97021

84.5231

0.279064

7

1.02647

0.866258

84.3922

0.244908

8

0.918427

0.77415

84.2909

0.22299

9

0.822584

0.693298

84.2829

0.200774

10

0.737635

0.622557

84.3991

0.179317

11

0.662319

0.560673

84.653

0.161398

12

0.595486

0.506454

85.0487

0.143524

13

2.14056

1.47628

68.9671

0.617187

14

2.17865

1.66923

76.6174

0.560621

15

2.01642

1.61379

80.0321

0.504023

16

1.82458

1.48846

81.5783

0.452003

17

1.63986

1.35003

82.3259

0.401424

18

1.4711

1.21753

82.7636

0.361314

19

1.31965

1.09691

83.1215

0.324235

20

1.18465

0.989317

83.5112

0.288342

21

1.06459

0.89412

83.9869

0.264738

22

0.957866

0.810106

84.574

0.22926

23

0.862937

0.735936

85.2827

0.20071

24

0.77842

0.670335

86.1149

0.176069

25

2.30753

1.56552

67.8441

0.669071

26

2.3312

1.75695

75.3668

0.611298

27

2.15591

1.7003

78.8671

0.535565

28

1.95224

1.57317

80.5827

0.477956

29

1.7568

1.43249

81.5395

0.435469

30

1.57831

1.29745

82.205

0.394434

31

1.41802

1.1741

82.7987

0.346289

32

1.27498

1.06367

83.426

0.317767

33

1.14761

0.965566

84.1374

0.273684

34

1.03421

0.878623

84.956

0.243067

35

0.933199

0.801527

85.8902

0.209314

36

0.843132

0.733026

86.9409

0.18511

37

2.36717

1.59449

67.3583

0.693395

38

2.3862

1.78559

74.8297

0.627049

39

2.20667

1.72944

78.3732

0.552797

40

1.99912

1.60263

80.1669

0.492618

41

1.80012

1.46205

81.2196

0.453817

42

1.61836

1.3269

81.9905

0.404141

43

1.45508

1.20327

82.6945

0.357739

44

1.30929

1.0924

83.4345

0.321141

45

1.17938

0.993743

84.2595

0.277889

46

1.06366

0.906144

85.191

0.245937

47

0.96051

0.828315

86.2369

0.213943

48

0.868472

0.759019

87.3971

0.188605

49

2.3907

1.60487

67.13

0.699955

50

2.40805

1.7959

74.579

0.629635

51

2.22698

1.7402

78.1417

0.562266

52

2.018

1.6138

79.9704

0.504827

53

1.81768

1.47353

81.0665

0.454751

54

1.63471

1.33859

81.8857

0.405765

55

1.4703

1.21507

82.6412

0.362169

56

1.32346

1.10423

83.4346

0.321225

57

1.19259

1.00552

84.3141

0.279844

58

1.07598

0.917818

85.3009

0.246044

59

0.971998

0.839826

86.402

0.215288

60

0.879192

0.770324

87.6173

0.189176

61

2.4007

1.6088

67.0138

0.704474

62

2.4174

1.79982

74.4527

0.632191

63

2.23571

1.74439

78.0238

0.568344

64

2.02616

1.61826

79.868

0.508362

65

1.82532

1.47821

80.9837

0.459022

66

1.64185

1.34344

81.8251

0.407563

67

1.47698

1.22005

82.6047

0.364179

68

1.32972

1.1093

83.4236

0.321236

69

1.19845

1.01065

84.3295

0.280454

70

1.08147

0.922961

85.3433

0.247986

71

0.977144

0.844957

86.4721

0.215635

72

0.884016

0.775416

87.7152

0.189321

73

2.40523

1.61032

66.951

0.708022

74

2.42165

1.80135

74.3852

0.633125

75

2.2397

1.74606

77.9599

0.570149

76

2.0299

1.62009

79.811

0.50848

77

1.82883

1.48017

80.9356

0.459939

78

1.64515

1.34552

81.7874

0.409362

79

1.48008

1.22223

82.5784

0.364919

80

1.33264

1.11155

83.4095

0.321238

81

1.2012

1.01295

84.3283

0.280649

82

1.08405

0.925296

85.3556

0.2499

83

0.979573

0.847313

86.4983

0.215653

84

0.886302

0.77778

87.7556

0.189556

 

D. Plot of mean time-concentration profile for the simulation

 

 

 

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