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Estimation of FDG input function in mice
     using a compartmental model fitted to
  dynamic microPET data and 2 blood samples




Gregory Z. Ferl, Xiaoli Zhang, Christine Wu, Sung-Cheng Huang
          Dept. of Molecular & Medical Pharmacology
               David Geffen School of Medicine
             University of California, Los Angeles
Using a 4K compartmental model…



       …can we predict input function based on:

1) 2 Blood samples taken at approx 10 and 60 min

2) Image derived Liver and Muscle TACs

3) Corrected early time (< 60 s) left ventricle TAC

4) Bayesian (a priori) parameter values
Experimental Data

                                    microPET

                                           n = 16 mice (CL57Bl/5, ~29 g)

                                           Tracer: ~500 µCi FDG

                                           63 ± 16 min dynamic PET scan

                                           15 ± 6 blood samples collected

            Blood samples collected
            at timed data points
            then measured in gamma
            well counter

UCLA Department of Molecular and Medical Pharmacology. UCLA Mouse
Quantitation Project. Available at: http://dragon.nuc.ucla.edu.
Modeling
Methodology
4K Compartmental Model For FDG Kinetics
                            f B ,tissue quot; q1 (t )
y (t ) = ROI tissue                                + q2 (t ) + q3 (t )
                      =           !0.191t
                        0.386e             + 1.165
Using a 4K compartmental model…



       …can we predict input function based on:

1) 2 Blood samples taken at approx 10 and 60 min

2) Image derived Liver and Muscle TACs

3) Corrected early time (< 60 s) left ventricle TAC

4) Bayesian (a priori) parameter values
Drawing the LV ROI
                        Transverse (-9.07 mm)
   1.75 s      2.25 s          2.75 s            3.25 s      54 min




R. Ventricle   Lungs        L. Ventricle        Systemic   L. Ventricle




                         Coronal (-4.00 mm)
Early time LV TAC
                                       Data
Input
                                                  microPET



        Correct for:
        -Partial volume effects
        -Delay                    Blood samples collected
        -Dispersion               at timed data points
                                  then measured in gamma
                                  well counter
Early time LV TAC
                                        Data
Input
                c
               q                                   microPET
                1
                qc
                 2
                     qc
                      3
                                   Blood samples collected
                                   at timed data points
                                   then measured in gamma
                                   well counter




        Corrected Input Function
Early time LV TAC
                                        Data
Input
                c
               q                                   microPET
                1
                qc
                 2
                     qc
                      3
                                   Blood samples collected
                                   at timed data points
                                   then measured in gamma
                                   well counter




        Corrected Input Function
Early time LV TAC
                                                     Data
Input
                       c
                     q                                          microPET
                       1
                      qc
                       2
                           qc
                            3
                                                Blood samples collected
                                                at timed data points
                                                then measured in gamma
                                                well counter




              Corrected Input Function



        Plasma Conc.
                     = 0.386e !0.191t + 1.165
        Blood Conc.
Using a 4K compartmental model…



       …can we predict input function based on:

1) 2 Blood samples taken at approx 10 and 60 min

2) Image derived Liver and Muscle TACs

3) Corrected early time (< 60 s) left ventricle TAC

4) Bayesian (a priori) parameter values
Bayesian Values

                                               quot; !t
           Model : f ( A, ! ) = Ae




                                                                          2
                                              ! p # Mean                )quot;
                                                      (
                                                2
                            v                 $i         pi
                                                                         %
                        J ( p ) = WRSS + (            2
                                                   SDpi
                                              $                               %
                                         i =1
                                              &                               '
Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II:
validation against ADAPT II in a glucose model case study. Ann Biomed Eng.
2002;30:961-968.
Bayesian Values

                                               quot; !t
           Model : f ( A, ! ) = Ae




                                                                          2
                                              ! p # Mean                )quot;
                                                      (
                                                2
                            v                 $i         pi
                                                                         %
                        J ( p ) = WRSS + (            2
                                                   SDpi
                                              $                               %
                                         i =1
                                              &                               '
Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II:
validation against ADAPT II in a glucose model case study. Ann Biomed Eng.
2002;30:961-968.
Bayesian Values

                                               quot; !t
           Model : f ( A, ! ) = Ae




                                                                          2
                                              ! p # Mean                )quot;
                                                      (
                                                2
                            v                 $i         pi
                                                                         %
                        J ( p ) = WRSS + (            2
                                                   SDpi
                                              $                               %
                                         i =1
                                              &                               '
Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II:
validation against ADAPT II in a glucose model case study. Ann Biomed Eng.
2002;30:961-968.
Calculate Bayesian Values

FIT TO ALL BLOOD & TISSUE DATA FROM 6 RANDOMLY
             SELECTED MOUSE STUDIES




                               Objective Function
                                                               2
                                            15 ! p # Mean
                                                               )quot;
                                              (
                          v                        i      pi
                      J ( p ) = f (WRSS ) + ( $                 %
                                                       2
                                                     SDpi
                                            i =1 $                 %
                                                 &                 '
Results
Implement Model Using SAAM II Software




Barrett PH, Bell BM, Cobelli C, et al. SAAM II: Simulation, Analysis, and Modeling
Software for tracer and pharmacokinetic studies. Metabolism. 1998;47:484-492.
Implement Model Using SAAM II Software




Barrett PH, Bell BM, Cobelli C, et al. SAAM II: Simulation, Analysis, and Modeling
Software for tracer and pharmacokinetic studies. Metabolism. 1998;47:484-492.
Predicted Input Functions
Calculate Patlak Ki Values




Huang SC, Truong D, Wu HM, et al. An internet-based quot;kinetic imaging systemquot;
(KIS) for MicroPET. Mol Imaging Biol. 2005;7:330-341.
Comparison to Liver AUC
Summary
• Accurate estimation of FDG input
  function in mice based on:
  – 2 Blood Samples
  – Corrected early time (<60 s) LV TAC
  – Image Derived Liver and Muscle TACs

• Method has many steps, but easily
  automated
Acknowledgements
UCLA Animal Imaging                  Huang Lab
                                     Blood Sampling
Facility (Crump Institute)
                                     Dr. K.P. Wong
Dr. David Stout
                                     Hillary Protas
Dr. Arion Chatziioannou
                                     James Yu
Waldemar Ladno
                                     Mirwais Wardak
Judy Edwards
Antonia Luu
                                     Computer Support
                                     David Truong
UCLA Cyclotron Laboratory
                                     David Vu
Dr. Nagichettiar Satyamurthy
                                     Weber Shao
and staff

UCLA Scholars in Oncologic Molecular Imaging (SOMI) Program
        (NCI Cancer Education Grant R25-CA098010)

             DOE Contract DE-FC03-02ER63420
          NIH Grants R01-EB001943, P50-CA086306

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SNM 2007, Washington DC

  • 1. Estimation of FDG input function in mice using a compartmental model fitted to dynamic microPET data and 2 blood samples Gregory Z. Ferl, Xiaoli Zhang, Christine Wu, Sung-Cheng Huang Dept. of Molecular & Medical Pharmacology David Geffen School of Medicine University of California, Los Angeles
  • 2. Using a 4K compartmental model… …can we predict input function based on: 1) 2 Blood samples taken at approx 10 and 60 min 2) Image derived Liver and Muscle TACs 3) Corrected early time (< 60 s) left ventricle TAC 4) Bayesian (a priori) parameter values
  • 3. Experimental Data microPET n = 16 mice (CL57Bl/5, ~29 g) Tracer: ~500 µCi FDG 63 ± 16 min dynamic PET scan 15 ± 6 blood samples collected Blood samples collected at timed data points then measured in gamma well counter UCLA Department of Molecular and Medical Pharmacology. UCLA Mouse Quantitation Project. Available at: http://dragon.nuc.ucla.edu.
  • 5. 4K Compartmental Model For FDG Kinetics f B ,tissue quot; q1 (t ) y (t ) = ROI tissue + q2 (t ) + q3 (t ) = !0.191t 0.386e + 1.165
  • 6. Using a 4K compartmental model… …can we predict input function based on: 1) 2 Blood samples taken at approx 10 and 60 min 2) Image derived Liver and Muscle TACs 3) Corrected early time (< 60 s) left ventricle TAC 4) Bayesian (a priori) parameter values
  • 7. Drawing the LV ROI Transverse (-9.07 mm) 1.75 s 2.25 s 2.75 s 3.25 s 54 min R. Ventricle Lungs L. Ventricle Systemic L. Ventricle Coronal (-4.00 mm)
  • 8. Early time LV TAC Data Input microPET Correct for: -Partial volume effects -Delay Blood samples collected -Dispersion at timed data points then measured in gamma well counter
  • 9. Early time LV TAC Data Input c q microPET 1 qc 2 qc 3 Blood samples collected at timed data points then measured in gamma well counter Corrected Input Function
  • 10. Early time LV TAC Data Input c q microPET 1 qc 2 qc 3 Blood samples collected at timed data points then measured in gamma well counter Corrected Input Function
  • 11. Early time LV TAC Data Input c q microPET 1 qc 2 qc 3 Blood samples collected at timed data points then measured in gamma well counter Corrected Input Function Plasma Conc. = 0.386e !0.191t + 1.165 Blood Conc.
  • 12. Using a 4K compartmental model… …can we predict input function based on: 1) 2 Blood samples taken at approx 10 and 60 min 2) Image derived Liver and Muscle TACs 3) Corrected early time (< 60 s) left ventricle TAC 4) Bayesian (a priori) parameter values
  • 13. Bayesian Values quot; !t Model : f ( A, ! ) = Ae 2 ! p # Mean )quot; ( 2 v $i pi % J ( p ) = WRSS + ( 2 SDpi $ % i =1 & ' Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II: validation against ADAPT II in a glucose model case study. Ann Biomed Eng. 2002;30:961-968.
  • 14. Bayesian Values quot; !t Model : f ( A, ! ) = Ae 2 ! p # Mean )quot; ( 2 v $i pi % J ( p ) = WRSS + ( 2 SDpi $ % i =1 & ' Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II: validation against ADAPT II in a glucose model case study. Ann Biomed Eng. 2002;30:961-968.
  • 15. Bayesian Values quot; !t Model : f ( A, ! ) = Ae 2 ! p # Mean )quot; ( 2 v $i pi % J ( p ) = WRSS + ( 2 SDpi $ % i =1 & ' Callegari T, Caumo A, Cobelli C. Generalization of map estimation in SAAM II: validation against ADAPT II in a glucose model case study. Ann Biomed Eng. 2002;30:961-968.
  • 16. Calculate Bayesian Values FIT TO ALL BLOOD & TISSUE DATA FROM 6 RANDOMLY SELECTED MOUSE STUDIES Objective Function 2 15 ! p # Mean )quot; ( v i pi J ( p ) = f (WRSS ) + ( $ % 2 SDpi i =1 $ % & '
  • 18. Implement Model Using SAAM II Software Barrett PH, Bell BM, Cobelli C, et al. SAAM II: Simulation, Analysis, and Modeling Software for tracer and pharmacokinetic studies. Metabolism. 1998;47:484-492.
  • 19. Implement Model Using SAAM II Software Barrett PH, Bell BM, Cobelli C, et al. SAAM II: Simulation, Analysis, and Modeling Software for tracer and pharmacokinetic studies. Metabolism. 1998;47:484-492.
  • 21. Calculate Patlak Ki Values Huang SC, Truong D, Wu HM, et al. An internet-based quot;kinetic imaging systemquot; (KIS) for MicroPET. Mol Imaging Biol. 2005;7:330-341.
  • 23. Summary • Accurate estimation of FDG input function in mice based on: – 2 Blood Samples – Corrected early time (<60 s) LV TAC – Image Derived Liver and Muscle TACs • Method has many steps, but easily automated
  • 24. Acknowledgements UCLA Animal Imaging Huang Lab Blood Sampling Facility (Crump Institute) Dr. K.P. Wong Dr. David Stout Hillary Protas Dr. Arion Chatziioannou James Yu Waldemar Ladno Mirwais Wardak Judy Edwards Antonia Luu Computer Support David Truong UCLA Cyclotron Laboratory David Vu Dr. Nagichettiar Satyamurthy Weber Shao and staff UCLA Scholars in Oncologic Molecular Imaging (SOMI) Program (NCI Cancer Education Grant R25-CA098010) DOE Contract DE-FC03-02ER63420 NIH Grants R01-EB001943, P50-CA086306