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A Systems Biology Approach
To Study Metabolic Regulation
   In Tissue/Organ Systems
 In Health And Disease States

              Nicola Lai
 Department of Biomedical Engineering
   Case Western Reserve University

          Dicembre 21, 2011
Outline of Presentation
Introduction to Systems Biology
Projects
Experimental approaches to study                      energy
metabolism at different whole body levels:
  Cellular
  Tissue-Organ
  Whole Body
Integration of experimental data to computational
model to study
  O2 transport and metabolism in skeletal muscle (Diabetes)
  Fuel Homeostasis: Substrate Utilization (Cystic Fibrosis)
Relation between experimental and computational
models for optimal design of experiments and to
generate hypotheses
Systems Biology

Study of the interactions between the components of
biological systems, and how these interactions give
rise to the function and behavior of that system (e.g.,
the enzymes and metabolites in a metabolic pathway)

 Organisms

  Organs

  Tissues            Integrative       Discover Functional
                  Systems Biology       Properties of the
   Cells              Approach         Biological Systems

  Proteins

  Genes
Systems Approach: Integration


Comprehensive data sets from distinct levels of
biological systems;
It is difficult to relate organ whole-organism
function to cellular and sub-cellular function and
structure properties;
Integration of multi-scale data to build predictive
mathematical models of the system;
Investigate the behavior and relationships of all
elements in a functioning biological system;
Cellular Metabolism

All the chemical processes that make it possible for
the cells to continue living



 Cell
Metabolic Systems

Most metabolic pathways have been
intensely studied;
Little is known in quantitative terms about
their control and integration with other
pathways, as well as their interaction to
regulate physiological variables (e.g., blood,
glucose, muscle ATP) under normal and
stress conditions;


       Fell D. Understanding the Control of Metabolism, 1997.
Ongoing Research Projects
Title
Systems Biology Investigation of Muscle Exercise Metabolism in Diabetes
Goal
To quantify the key factors responsible for metabolic and mitochondrial
dysfunction in diabetes and elucidate the impact of exercise training on
energy metabolism
        Agency
        National Institute of Arthritis, Musculoskeletal & Skin Diseases

Title
Systems Biology Approach to Growth Regulation in Cystic Fibrosis
Goal
To investigate the patterns of energy homeostasis (energy utilization and
imbalances) in control and cystic fibrosis (CF) mice using perturbations
including pharmacologic treatment, genetic manipulations and altering
energy balance by diet or exercise
        Agency
        Institute of General Medical Sciences
Systems Biology Approach
1. Choose suitable biological model organism
2. Characterize endocrine-metabolic components
   of energy metabolism
3. Generate plausible hypotheses explaining
   differences between T2DM and control
4. Develop predictive, quantitative multiscale
   models of energy metabolism
5. Perturb systematically system to validate and
   refine model and to test hypotheses
6. Generate new experimentally testable
   hypotheses
Metabolic Characteristics in T2DM

  Muscle metabolic functions decline with type 2
  diabetes mellitus (T2DM)
  Metabolic      dysfunction    is   accompanied        by
  mitochondrial dysfunction and insulin resistance (IR)
  Mitochondrial dysfunction is related to IR, but the
  cause-and-effect relationship between them remains
  to be defined
  The altered metabolic regulation under which insulin
  is less effective in inducing glucose utilization is not
  completely understood
Why study exercise metabolism

Muscle energy metabolism in healthy & disease
state
Detect and prevent pathologies (e.g. Diabetes)
Therapeutic intervention to ameliorate quality of
life in elderly and subjects with metabolic
disorders
Experimental Approach
                               -Exercise
Acute Perturbation / Stimuli   -Hypoxia, Hyperoxia
Chronic Stimuli / Conditions   -Drugs
                               -Training, Microgravity
                               -Diseases
                               (e.g. Diabetes, Myopathies)

    Biological Systems
                               -Physiological variables
                               (e.g. Blood flow)
                               -Metabolic variables
                               (e.g. Substrates, Enzymes)




      System Outputs
Whole body response to exercise



 Stimulus                   Response




            Physiological
              Process
Exercise Protocol

  WR [watt]
Range (80-200)




Warm up (20)                                               Time
                                                           [min]



                               NT E                 E
                                                  IV ERY
                T     UP      A T
                            T A         VE RY    S
             RES      M   NS K R      TI VE    AS OV
                    AR  CO OR       AC CO     P C
                  W                  RE        RE
                         W
Physiological responses to exercise
                                                                                           1.50
                                                             Indirect
                                                            Calorimetry                    1.25

                                                             Pulmonary                     1.00




                                                                            VO2 [L min ]
                                                             O2 Uptake




                                                                            -1
                                                                                           0.75


                                                                                           0.50
                                                           Bioimpedance
                                                           Cardiography                    0.25


                                                                  Cardiac                  0.00
                                                                                                  0   50   100 150 200 250 300 350 400 450 500
                                                                  Output                                            [second]

              30                                                                           12.5


              25                                               NIR
                                                                                           10.0
                                                           Spectroscopy
              20
                                                                                            7.5
Cdeoxy [mM]




                                                                             Q [L min ]
                                                             Muscle

                                                                            -1
              15
                                                           Oxygenation
                                                                                            5.0
              10

                                                                                            2.5
              5


              0                                                                             0.0
                   0   50   100 150 200 250 300 350 400 450 500                                   0   50   100 150 200 250 300 350 400 450 500
                                      [second]                                                                       [second]
Characterization of the physiological
        variable response to stimulus

Mathematical Model
t ≤ t0 +TD Y( t ) = YBL
t > t0 +TD Y( t ) = YBL + A (1 − e( t0 +TD − t )/ τ )
                                  Rest        Stimuli

Parameters
                        YBL + A
 A, Amplitude
 τ, Time Constant                                       A
 TD, Delay Time
                          YBL

                                         TD

                                      t0        t, Time [min]
τ
                           Effect of time constant (τ)
                         on the physiological response
               1.8

                            τ=30s
                            τ=
               1.5
                          τ=30s
                          τ=
                                             τ=90s
                                             τ=
VO2 [L min ]




               1.2
-1




               0.9


               0.6


               0.3
                     0     100   200   300   400   500   600   700
                                       [second]
VO2 Responses to Exercise in Human Subjects:
      Type II Diabetes Mellitus (T2DM) & Health (Control)




                                                               T2DM
                               CONTROL


                          Time [s]                              PAD
                                                          Time [s]


               Impaired cardiac responses to exercise
               Alteration O2 diffusion and/or utilization in skeletal
               muscle is also possible


Regensteiner et al. 1998, Journal of Applied Physiology
VO2 Responses to Exercise in Human Subjects:
              Cystic Fibrosis (CF) & Health (Control)




                      Control                     CF

                          Time [s]              Time [s]

         Dynamic response of pulmonary O2 uptake (VO2) in
         humans during exercise slower with CF than healthy
         VO2 response can be affected by pulmonary
         impairment but peripheral factors (O2 transport and
         metabolism) may also play a role
Hebestreit et al., 2005
Effect of Exercise on VO2 response
                to exercise in T2DM patients


                          Control
                          τ=40s
                          τ=
                                                        T2DM
                                                        τ=72s
                                                        τ=




Bradenburg et al., Diabetes Care 22, p1640–1646, 1999
Linking Cell, Tissue/Organ systems & Whole Body


Whole Body
                                       Cell
             Tissue/Organ Systems
Whole body & tissue-organ responses to exercise


Stimulus                     Response
                                             LUNGS
                                             LUNGS
                                            Pulmonary
                                            Pulmonary
           Physiological                    O2 Uptake
                                             O2 Uptake
             Process


                                                    HEART
                                                    HEART

                                                Cardiac Output
                                                Cardiac Output
                           Arterio/venous
                           Arterio/venous
                             difference
                              difference    SKELETAL MUSCLE
                                             SKELETAL MUSCLE
                                            -Blood O2 Saturation
                                             -Blood O2 Saturation
                                            -Tissue O2
                                             -Tissue O2
                                            Saturation
                                             Saturation
                                            -Muscle Blood Flow
                                             -Muscle Blood Flow
Measurements of Muscle Blood Flow (Q),
        Arterial and Venous O2 concentrations

                           Catheter
                         Radial Artery

                            Cart,O
                                   2




                                                Catheter
                                              Femoral Vein


                                 Cven,O
                                          2             Muscle O2 Uptake
                                                        VO2m=Q (Cart,O2-Cven,O2)
MEASUREMENTS

 Blood Samples: Arterial and venous O2 concentration (Cart,O2, Cven,O2) by Oximeter
 Tissue Biopsies: Metabolite concentrations by GS, MS
 Muscle Blood Flow (Q) by thermo-dilution technique
Cardio-respiratory & skeletal muscle responses
                      to exercise


                            VO2A , Alveolar
                            Oxygen Uptake




                   Qleg, Muscle Blood Flow,
                   Ca-Cv, Arterio-Venous diff.
                   VO2leg, Muscle Oxygen Uptake




Grassi et al., JAP (1996) 80, p988-998
Linking Cell, Tissue/Organ systems & Whole Body


Whole Body
                                       Cell
             Tissue/Organ Systems
Mitochondrial respiration responses
        to different substrates
         Stimulus                                  Response



                      Substrates
                                        Buffer
Polarographic                           Solution
   System
                        Water             Water
                        30°C              30°C            Oxygen
          ∆V                                          consumption Rate
                                          Magnetic
                Electrode System          stir bar


                             Magnetic mixer
Oxidative phosphorylation rate
                 in healthy and disease states
Functional defects
in dehydrogenase activities
The mitochondria of patient ‘C’
Pyruvate oxidation is impaired


Defect in the pyruvate dehydrogenase
complex

The mitochondria of patient ‘D’
Glutamate and succinate oxidation are
impaired

Defect in fumarase activity


Puchowicz et al., 377–385 , 2004
Dynamic response of O2 utilization
       at different whole body levels

  Biological Systems      Time constant

     Cell                      2.5 s



Skeletal Muscle               25÷30 s




 Whole Body                   30÷35 s
Factors affecting bioenergetics function

  Central
      Cardiovascular and respiratory systems
            Ventilation;
            O2 Diffusion from Alveoli to pulmonary capillary
            Cardiac Output;


  Peripheral
      Skeletal Muscle systems
            O2 Diffusion from muscle capillary to myocytes
            Metabolic processes (Cytosol, mitochondria)
Linking Cell, Tissue/Organ systems & Whole Body

                                    Whole Body


             Tissue/Organ Systems




    Cell
Cellular Energy metabolism
Multi-compartmental System Model

                                           Capillary Blood
                                  Q Ca,j                                            Q Cv,j
                                                                          Cb,j

                                           Interstitial
                                           Fluid            Jb↔c,j Cisf,j
                                                              ↔

Specie j                                                                             Specie j transport rate
Ca,j: Arterial concentration                         Cc,j | Rc,j                     from blood to cytosol, Jb↔c,j

Cv,j: Venous concentration                                                           from cytosol to mitochondria, Jc↔m,j
                                                Pc,j               Uc,j
Cb,j: Capillary blood concentration        Cytosol          Jc↔m,j
                                                              ↔
                                                                                     Species j reaction rate
Cisf,j: Interstitial fluid concentration
                                                                                     Rc,j=Pc,j – Uc,j cytosol
Cc,j: Cytosolic concentration                       Cm,j | Rm,j
                                                                                     Rm,j=Pm,j – Um,j mitochondria
Cm,j: Mitochondrial concentration
                                               Pm,j            Um,j
                                           Mitochondria



                                           Px,j =∑p βx,j,p φx,p                  φ Reaction flux

                                           Ux,j = ∑u βx,j,u φx,u                 β Stoichiometric coefficient
Dynamic Mass Balance Equations

                                               (            )
                              dCb, j
     Blood (b):          Vb            = Q Ca, j − Cb, j − J b↔ c, j
                               dt
                              dCc, j
     Cytosol (c):        Vc            = ∑ β c, j, pφ c, p − ∑ β c, j,uφ c,u + J b↔ c, j − J c ↔ m, j
                               dt          p                  u

                               dCm, j
     Mitochondria (m): Vm                = ∑ β m, j, pφ m, p − ∑ β m, j,uφ m,u + J c ↔ m, j
                                 dt            p                  u



Q:     Muscle blood flow
Cx,j: Species concentration in each domain (blood, cytosol or mitochondria)
Jb↔c,j : Transport fluxes between blood and cytosolic domain
  ↔
Jc↔m,j : Transport fluxes between cytosolic and mitochondrial domain
  ↔
φp, φu: Metabolic reaction fluxes: production or utilization
βp, βu: Stoichiometric coefficients.
Metabolic Reaction Fluxes

Reaction
A+ B            C+D
Ordered bi-bi Michaelis-Menten kinetics

           Vmax,f [ A][ B ] Vmax,r [ P ][Q]
                           −
               K a Kb          K p Kq
φ=
      [ A] [ B ] [ A][ B ] [ P] [Q] [ P][Q]
   1+     +      +           +     +      +
      K a Kb K a Kb K p K q K p K q

Haldane Relation                 Metabolic Parameters
           Vmax, f K p K q
Vmax,r =                           K eq , K a , Kb , K p , K q
            K a K b K eq
Inter-domain Transport Fluxes
Transport Processes

Blood-Cytosol (b↔c )                  Cytosol-Mitochondria (c↔m )
b↔c,p: Ala, Glr, CO2, O2, H+          c↔m,p: CO2 and O2
b↔c,f: Glc, Pyr, Lac, FFA             c↔m,f: Pyr, FAC, Pi, CoA, H+, Cit, Mal


                               PASSIVE
                Jxp↔y, j = λx↔y, j (Cx, j −Cy, j ) 
                                                   
                
                
      Jx↔y, j =             FACILITATED
                
                J f = T                   Cx, j        Cy, j     
                                                       −
                 x↔y, j x↔y, j  Mx↔y, j + Cx, j Mx↔y,, j + Cy, j 
                                                                  
                                                                 
Whole body model O2 Transport between
                      Lungs & Skeletal muscle
                                                                    Dynamic balance of O2 in Lungs
                                                                    Alveoli
                 LUNGS                                                                                 V
                                                                      dCAO2                                                Lb

VA(t), C IO2
                 Alveolar Space        VO2p
                                                  CAO2
                                                                   VA       = VA( t )( CI O2 − CAO2 ) − ∫ JA ↔ LO2 ,b dv
                                                                               &
                                                                       dt                               0
                 Capillary         VO2A
        Cven                                     Cart               Lung Capillary Blood
                                                           Q(t)    ∂CLO2 ,b              ∂CLO2 ,b         ∂ 2 CLO2 ,b
                 OTHER ORGANS organs                                              = −Q               +D                 + JA ↔ LO2 ,b 0 < v < VLb
                                                                        ∂t                  ∂v               ∂v 2
                 Tissue
                                                  Qo
                 Capillary                                         Other Organs
                                                                   Tissue
                                                                                          VRb
                                                                        dCRO2 ,c
                                                                                     =−   ∫J     R ↔ RO2 ,b dv + MRO2
                 MUSCLE                                    Qm(t)   VR
                 Tissue            UO2m                                      dt
                                                                                           0
     Cven,m                                      Cart,m            Blood                                                           0 < v < VR ,b
                 Capillary         VO2m
                                                                   ∂CRO2 ,b               ∂CRO2 ,b            ∂ CRO2 ,b
                                                                                                                2
                                                                                  = −Q0               + DR                      + JR ↔ RO2 ,b
                                                                        ∂t                      ∂v                  ∂v 2
  Arterial & Venous Systems                                        O2 Diffusion
 ∂CrO2           ∂CrO2           ∂ 2 CrO2                          JR ↔      RO ,b   = PS R ( PRO2 ,b − PRO2 ,c )
          = −Q            + Dr              ; 0 < v < Vr                       2

   ∂t             ∂v              ∂v 2
                                                                   JA ↔ LO2 ,b = PS L ( PAO2 − PLO2 ,b )
Model Prediction of metabolic processes
       at cellular level: Cytosol and Mitochondria
  Response to Exercise


  Variations in Glycogen
  concentration
 Under pathological conditions
 or with special diet, glycogen
 stores in skeletal muscle at
 rest can differ significantly




Li et al., AJPEM 298, p1198-1209, 2010
Model Prediction of metabolic processes
            at whole skeletal muscle
                                                       120
   Muscle




                   Q [mL 100g min ]
                                                                                                                           Effect of blood flow



                 -1
                                                       100
 Blood Flow                                            80                                         Model Simulation
                                                                                                                           on VO2m response


                 -1
                                                                                                  Exp.Data - Normoxia
                                                       60
                                                       40
                                                                                                  Self Perfused (SP)
                                                                                                  Model Simulation
                                                                                                                           to contraction
                                                                                                  Exp.Data - Normoxia
                                                       20                                         Pump Perfused (PP)                           Catheter
                                                        0                                                                                    Radial Artery
                                                       18
Arterio-Venous                                         16                                                                                      Cart,O2
                                                       14
  Difference
                 VO 2 [mLO 2 100g min ] CA-V [vol %]

                                                       12                                     Model Prediction
                                                       10                                     Exp.Data - Normoxia
                                                        8                                     Self Perfused (SP)
                                                        6                                     Model Prediction
                                                                                                                                Catheter
                                                        4                                     Exp.Data - Normoxia             Femoral Vein
                 T




                                                        2                                     Pump Perfused (PP)
                                                        0                                                                      Cven,O2
                 -1




                                                       18
  Muscle O2                                            16
                                                       14
   Uptake
                 -1




                                                       12                                     Model Prediction
                                                       10                                     Exp.Data - Normoxia
                                                        8                                     Self Perfused (SP)
                                                        6                                     Model Prediction
                                                        4                                     Exp.Data - Normoxia                   *Grassi et al., 2000
                                                        2                                     Pump Perfused (PP)                   JAP. 89: 1293-1301
                                                        0
                                                             0   30   60   90   120   150   180    210   240   270   300
                                                                                                                                     Spires et al., 2011
                                                                                 Time [s]                                              JAP. Submitted
Model Prediction of metabolic processes
                                        at whole body level
                      0.2                                            Dynamic responses of Muscle
                      0.1
                                                                     O2 saturation & Pulmonary O2
                                                                     uptake to exercise
                      0.0
                                                                                         LUNGS
                                                                                          LUNGS
∆StO2m/StO2m
w




               -0.1
                                                                                       Pulmonary
                                                                                       Pulmonary
               -0.2
                                                                                       O2 Uptake
                                                                                        O2 Uptake
               -0.3                          Model Simulation
                                             Experimental Data
               -0.4                                                                      HEART
                                                                                         HEART
                2.5

                                                                                         Cardiac
                                                                                         Cardiac
                      2.0
                                                                                         Output
                                                                                          Output
    VO2p [L O2/min]




                      1.5


                      1.0
                                                                                        MUSCLE
                                                                                        MUSCLE
                      0.5                    Model Simulation
                                             Experimental data
                                                                                         Oxygen
                                                                                          Oxygen
                      0.0                                                               Saturation
                                                                                        Saturation
                         -1     0   1       2         3          4
                                    Time [min]
Factors affecting bioenergetics function

  Central
      Cardiovascular and respiratory systems
            Ventilation;
            O2 Diffusion from Alveoli to pulmonary capillary
            Cardiac Output;


  Peripheral
      Skeletal Muscle systems
            O2 Diffusion from muscle capillary to myocytes
            Metabolic processes (Cytosol, mitochondria)
Mathematical Modeling and Analysis:
 Hypotheses of cellular and physiological regulation

  Inputs:                                       Outputs:
                          Mathematical
Experimental                                   Metabolic
                             Model
 Conditions                                    Responses

                                                   Hyp.1



                          Hypotheses
                                                   Hyp.2


   Hyp.1: Impairment of cellular transport
           (e.g. facilitate diffusion)
   Hyp.2: Activation/Inhibition of enzymatic       Hyp.3
          reactions and/or metabolic pathway
   Hyp.3: Impairment of substrate delivery
           (e.g., reduced blood flow)
Cystic Fibrosis: Genetic Complex Disorder


    Cystic Fibrosis is a complex, systemic,
    and multi-organ disorder
    Although CFTR gene is identified, many
    aspects of CF cannot be related directly
    to chloride channel defect
    Are pulmonary infection, inflammation,
    and growth retardation primary effects or
    secondary consequences?
    A Systems Approach is Needed !
Energy Homeostasis in CF
Energy Supply
 Intake of FAT, CHO, and protein
 Digestion and absorption of nutrients


Energy Utilization
 Oxidation of FAT, CHO and Protein
 Leaks: lower efficiency, cachexia
 Total energy expenditure


Energy Balance
 Body composition                        Insulin
Hormonal and Metabolic
        Characteristics of Tissues in CF
Skeletal Muscle
  Lower work efficiency and inorganic phosphorus-to-
  phosphocreatine ratio during exercise
  Dysfunction of aerobic and anaerobic metabolism

Liver
  Impaired suppression of hepatic glucose production and
  non-oxidative glucose metabolism stimulated by insulin
  De novo lipogenesis related to carbohydrate utilization

Adipose Tissue
  Plasma palmitate 50% higher in human CF than control
  during insulin infusion
  Impaired suppression of adipose tissue lipolysis by insulin
System Model: Whole-Body & Organ-Tissues

                                    Gas Exchange

                                       O2        CO2


                                       Brain

                                       Heart
                                                       Exercise
                                      Skeletal
                                      Muscle

                                       Liver              Insulin
                                                          Glucagon
Organ system is connected via                   GI
blood carrying substrates
                                      Adipose
Carbohydrates and fat utilization
during exercise                        Others
Hormonal activation/inhibition of
metabolic pathways
Multi-compartmental System Model

                                           Capillary Blood
                                  Q Ca,j                                            Q Cv,j
                                                                          Cb,j

                                           Interstitial
                                           Fluid            Jb↔c,j Cisf,j
                                                              ↔

Specie j                                                                             Specie j transport rate
Ca,j: Arterial concentration                         Cc,j | Rc,j                     from blood to cytosol, Jb↔c,j

Cv,j: Venous concentration                                                           from cytosol to mitochondria, Jc↔m,j
                                                Pc,j               Uc,j
Cb,j: Capillary blood concentration        Cytosol          Jc↔m,j
                                                              ↔
                                                                                     Species j reaction rate
Cisf,j: Interstitial fluid concentration
                                                                                     Rc,j=Pc,j – Uc,j cytosol
Cc,j: Cytosolic concentration                       Cm,j | Rm,j
                                                                                     Rm,j=Pm,j – Um,j mitochondria
Cm,j: Mitochondrial concentration
                                               Pm,j            Um,j
                                           Mitochondria



                                           Px,j =∑p βx,j,p φx,p                  φ Reaction flux

                                           Ux,j = ∑u βx,j,u φx,u                 β Stoichiometric coefficient
Dynamic Mass Balance Equations

                                               (            )
                              dCb, j
     Blood (b):          Vb            = Q Ca, j − Cb, j − J b↔ c, j
                               dt
                              dCc, j
     Cytosol (c):        Vc            = ∑ β c, j, pφ c, p − ∑ β c, j,uφ c,u + J b↔ c, j − J c ↔ m, j
                               dt          p                  u

                               dCm, j
     Mitochondria (m): Vm                = ∑ β m, j, pφ m, p − ∑ β m, j,uφ m,u + J c ↔ m, j
                                 dt            p                  u



Q:     Muscle blood flow
Cx,j: Species concentration in each domain (blood, cytosol or mitochondria)
Jb↔c,j : Transport fluxes between blood and cytosolic domain
  ↔
Jc↔m,j : Transport fluxes between cytosolic and mitochondrial domain
  ↔
φp, φu: Metabolic reaction fluxes: production or utilization
βp, βu: Stoichiometric coefficients.
Metabolic Pathways in Adipose Tissue
     Lactate       Pyruvate                   Alanine                                      CO2

                                                                                           CO2                        CoA
      LAC               PYR                     ALA                                 NADH            CoA         CO2              PYR
                                                                                                    ATP                               NADH
         NAD+ NADH                                                                 NAD+                                     ATP
                                                                       CoA NADP+ NADPH          ADP+Pi                  ADP+Pi        NAD+
                 NADH         ATP
                                               Proteins           FA                      ACoA         NADH NAD+                 GAP2
                 NAD+                                                    ADP+Pi ATP                 NADH                              NADH
                              ADP+Pi
                                                                   CoA                                                                NAD+
                                                                                         CoA        NAD+
                    GAP1                 G3P1 FAC                         ATP                             GLR               G3P2
                 ADP
                              NADH NAD+                                         ADP+Pi     FAC                    ATP    ADP   FAC
                                                                                                                CoA         Pi        CoA
                 ATP                            Pi         CoA

                                                     DG                                        TG                                DG
                        F6P            R5P                                                                GLR
                                        CO2
                                                                 DG MG                                                   FAC
                                       NADPH
        ADP+2Pi ATP                                                                 FAATGL                MG
                                    NADP+                                                HSL   DG
       GLY              G6P                               ADP+Pi ATP                                      GLR
            Pi                ADP                     O2               H2O               HSL

                                                           NADH NAD+                FA                    MG
                              ATP
                                                                                               MG                     GLR
                        GLC                                      ATP            ADP                       MGL
                                                                                                          HSL
     Tissue                                                                                                     FA


                   Glucose                            O2                                                        FFA
     Blood                                                               VLDL-TG
                                                                                                                Glycerol
 +    Epinephrine                                    Insulin                       Work Rate
Tissue Specific Metabolic Pathways
                                         Pathways                                 Brain   Heart Muscle   GI   Liver
1. Glucose Utilization: GLC + ATP ⇒ G6P + ADP
2. G6P Breakdown: G6P + ATP ⇒ 2GA3P + ADP
3. GA3P Breakdown:GA3P + Pi + 2ADP + NAD+⇒ PYR + 2ATP + NADH
4. Gluconeogenesis-1: PYR + 3ATP + NADH ⇒ GAP + 3ADP + Pi + NAD+
5. Gluconeogenesis-2: 2GA3P ⇒ G6P + Pi
6. Gluconeogenesis-3: G6P ⇒ GLC + Pi
7. Glycogenesis: G6P + ATP ⇒ GLY + ADP + 2Pi
8. Glycogenolysis: GLY + Pi ⇒ G6P
9. Pyruvate Reduction: PYR + NADH ⇒ LAC + NAD
10. Lactate Oxidation: LAC + NAD ⇒ PYR + NADH
11. Glycerol Phosphorylation: GLR + ATP ⇒ G3P + ADP
12. GA3P Reduction: GA3P + NADH ⇒ G3P + NAD
13. Glycerol-3-P Oxidation: G3P + NAD ⇒ GA3P + NADH
14. Alanine Formation: PYR ⇒ ALA
15. Alanine Conversion: ALA ⇒ PYR
16. Pyruvate Oxidation: PYR + CoA + NAD ⇒ ACoA + NADH + CO2
17. Palmitate Oxidation: FA+8CoA+14NAD+2ATP ⇒ 8ACoA+14NADH+2ADP+2Pi
18. Palmitate Synthesis: 8ACoA + 7ATP + 14NADH ⇒ FA + 8CoA + 7ADP + 7Pi + 14NAD
19. Lypolysis: TG ⇒ 3FA + GLR
20. Triglyceride Production: 3FA + G3P + 6ATP ⇒ TG + 6ADP + 6Pi
21. TCA Cycle: ACoA + 4NAD + ADP + Pi ⇒ 4NADH + CoA + ATP +2CO2
22. Oxygen Consumption: 2NADH + 6ADP + 6Pi + O2 ⇒ 2NAD + 6ATP
23. Phosphocreatine Breakdown: PCR + ADP ⇒ CR + ATP
24. Phosphocreatine Synthesis: CR + ATP ⇒ PCR + ADP
25. ATP Hydrolysis: ATP ⇒ ADP + Pi + Energy
Skeletal Muscle/Adipose Tissue Interactions
                                                                                                                                CO2                         LPL
                                    LAC                         PYR                     ALA                                                                              GLR
                                                                                                                                        VLDL-TG
                                                                                                                                                                  FFA

                                                 NAD+ NADH
                                                                                                +          Proteins
                                                                                                                                CO2
                                     LAC                         PYR                    ALA                          NADH          CoA
                                                                                                     CoA
                                                 –   ATP
                                                                           ATP                             CO2                     ATP
                                                                NADH                                                     NAD+
                                                ADP+Pi                       ADP+Pi      –
                                                                NAD+                                                               ADP+Pi
                                                                                             NAD+                                             CoA
                                                                                                    NADH
                               –     ADP
                                                  GAP1          NADH      GAP2 NADH                        NAD+
                                                                                                                  NADH          ACoA                NADH NAD+
                                                                                                     CoA
                                                                    NAD+                NAD+
                               ATP                                                                                                        ATP
                                                                                                                                                  ADP+Pi
                                    F6P               R5P G3P1                  G3P2           FAC                                                             FA
                                       CO2                                                                                              CoA
                                                       NADH                                                         ADP+Pi ATP
                                                                                                                                                     +                   GLR
                                                     NADP+
                                                                                       CoA                                                                          MGL
                                                 +    Pi                                                                    ATGL                                    HSL
                                                                                                             CoA
                                                                                        Pi
                                    G6P                    GLY                                                              HSL                     HSL
                                                                             ADP+Pi            DG                   TG                    DG                      MG
                              ADP      ATP ADP+2Pi
                          –                      –                               ATP                     MG DG
                                                                                                                           GLR MG                   GLR MG
                              ATP

                                    GLC
                                                           ADP+Pi   ATP                             Pi

                                                           O2              H2 O        ATP               ADP
                                                            NADH NAD+
                                                                                                                                                                  Tissue
                                                                                                                                                                  Blood
                                GLC                        O2




                                LAC                         PYR                   ALA          GLR          FFA                         CO2

                                        NAD+ NADH
                                                                                                                                        CO2
                                LAC                         PYR                   ALA                                            NADH         CoA
                                           NAD+ NADH                                                                                                     CO2        PYR
                                                                                                                                 NAD+          ATP
                                                     NADH           ATP                                            ATP ADP
                                                                                                                   NAD NADH                                        CoA
                                                                                         ATP                                                  ADP+Pi
                                                                                  ADP
                                                     NAD+           ADP+Pi                     GLR          FA                        ACoA                  NAD+
                                                                                                                                                     NADH
                                                                                                                   CoA
                                                            GAP                   G3P                               ATP                       ADP ATP

                                                                    ADP
                                                                                                                    ADP            PCR                      CR
                                                                                                                    Pi                        ATP    ADP
                                     ADP+2Pi         ATP            ATP

                                GLY                         G6P
                                                                                                            TG                     ATP                     ADP
                                           Pi                       ADP

                                                                    ATP                                                                  ADP+Pi      ATP

                                                            GLC                                                                    O2                      H2 O
                          Tissue                                                                                                          NADH NAD+



                          Blood
                                                            GLC                                             TG                     O2
Experimental protocol and measurements
 WR                    PROTOCOL                         MEASUREMENTS
 [watt]                                                  Blood
   100                                                    Hormones:
                                                             Insulin;
                                                             Norepinephrine
                                    60 minute
    50                                                       Epinephrine
                                                             Growth Hormon (GH)
                                                          Substrates:
                                                             Lactate
                                        T                    Glycerol
              T            UP
           ES          M            T AN TE     Time         Glucose
          R                       NS RA
                    AR
                  W             CO RK           [min]        Nonesterified Fatty Acid
                                 WO

                                                         Tissue
          Exercise maximal test;                          Substrates:
          Exercise at moderate work rate (WR)                 Dialysate Glycerol
          equivalent to 50% of VO2peak

Koppo et al., 2010
Hormone responses to exercise


                     450                                                                   35

                     400
                                 Model simulation                                          30
                     350         Experimental Data
                     300                                                                   25
  Epinephrine [pm]




                                                                            Hormone [pm]
                     250
                                                                                           20
                     200
                                                                                           15    Glucagon
                     150
                                                                                                       Model Simulation
                     100                                                                   10          Experimental Data
                                                                                                 Insulin
                     50
                                                                                                       Model Simulation
                                                                                           5
                      0                                                                                Experimental Data
                     -50                                                                   0
                       -10   0   10   20    30   40     50   60   70   80                  -10   0    10   20    30    40    50   60   70   80
                                           Time [min]                                                           Time [min]




Koppo et al., 2010
Glucose Homeostasis During Exercise


                       6000                                                                     2000
                                                                                                1800
                       5000                                                                                 Glucose
                                                                                                1600             Utilization




                                                                              Rate [µmol/min]
                                                                                                                 Production
 Glucose [µmmol/min]




                                                                                                1400
                       4000
                                                                                                1200
                       3000                                                                     1000
                                                                                                800
                       2000
                                    Model Simulation                                            600
                                    Experimental Data                                           400
                       1000
                                                                                                200
                         0                                                                        0
                         -10   0   10   20    30   40     50   60   70   80                       -10   0     10     20    30   40     50   60   70   80
                                             Time [min]                                                                   Time [min]




Koppo et al., 2010
Plasma Metabolite Responses to Exercise

                           1.4                                                                            3.0

                                       Model Simulation
                                       Experimental Data                                                  2.5
                           1.2




                                                                                  Lactate, LAC/LAC0 [-]
  Fatty Acid, FA/FA0 [-]




                                                                                                          2.0


                           1.0                                                                            1.5


                                                                                                          1.0
                           0.8
                                                                                                          0.5                         Model Simulation
                                                                                                                                      Experimental Data

                           0.6                                                                            0.0
                             -10   0   10   20    30   40     50   60   70   80                             -10   0   10   20    30   40     50   60   70   80
                                                 Time [min]                                                                     Time [min]




Koppo et al., 2010
Glycerol Responses to Exercise

                                            Plasma                                                                     Adipose Tissue
                           3.5                                                                             3.5

                           3.0                                                                             3.0
                                                                                                                            Model Simulation
  Glycerol, GLC/GLC0 [-]




                                                                                  Glycerol, GLC/GLC0 [-]
                           2.5                                                                             2.5              Experimental Data


                           2.0                                                                             2.0

                           1.5                                                                             1.5

                           1.0                                                                             1.0
                                                       Model Simulation
                           0.5                         Experimental Data                                   0.5

                           0.0                                                                             0.0
                             -10   0   10   20    30   40     50   60   70   80                              -10   0   10   20    30   40       50   60   70   80
                                                 Time [min]                                                                      Time [min]




Koppo et al., 2010
Hypothesis: Fatty Acid Oxidation Impaired in
 Skeletal Muscle at High-intensity Exercise



  Transport of long-chain fatty acid into
  mitochondria impaired via CPT-I
  inhibition
  Perfusion of adipose tissue inadequate
  to deliver fatty acid to skeletal muscle
  Lipolysis inhibited via lactate or high
  catecholamine concentration
Effect of Adipose Tissue Blood Flow
     on Fatty Acid oxidation in skeletal muscle
                            1.0
                                       Fatty Acid (FA) Release of Adipose Tissue (AT)
                            0.9        FA Oxidation of Skeletal Muscle (SM)
                                       Lipolysis
                            0.8
                                       FA Uptake
                            0.7                  SM        SM        SM        SM        SM
          Rate [mmol/min]

                                                      AT        AT        AT        AT
                            0.6
                            0.5
                            0.4
                                            AT
                            0.3
                            0.2   AT
                                       SM
                            0.1
                            0.0
                                  Rest       10%      30%       50%       100% 150%
                                        Exercise*
*Horizontal axis: ATBF/ATBF0 adipose tissue blood flow at steady-state
moderate exercise relative to basal physiological value
Relation between experimental and computational models to
   optimal design experiments and generate hypotheses
Integrative Systems Biology Approach

  Aim
  Support the iterative process in defining
   alternative hypotheses, and designing
   optimum experiments
  Impact
  Design of experimental protocols for specific
   evaluation of disease and improved
   treatments based on simulations with
   experimentally    validated    mechanistic
   models
Conclusion

Physiological-based models of a complex system can

       Integrate knowledge about components
       Incorporate interactions of system elements
       Facilitate quantitative understanding of function


Hierarchical multilevel models provide means

       For testing hypotheses
       For predicting critical experiments
Projects & Sponsors
Agency: NASA, National Aeronautics and Space Administration
Project: Time Course of Metabolic Adaptation during Loading & Unloading


Agency: NSF, National Science Foundation
Project: Database-enabled tools for Regulatory Metabolic Networks


Agency: NIDDK, National Institute of Diabetes and Digestive & Kidney Diseases
Project: Systems Biology Approach to Growth Regulation in Cystic Fibrosis


Agency: Ministero degli Affari Esteri - International Environmental &
   Scientific Affairs Department of State.
Project: Central and peripheral factors contributing to the impaired oxidative
   metabolism in microgravity: experimental and theoretical approach


Agency: NIGMS - National Institute of General Medical Sciences
Project: Center for Modeling Integrated Metabolic Systems

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Un approccio integrato della biologia dei sistemi per studiare il trasporto di ossigeno e il metabolismo ossidativo del sistema muscolo-scheletrico in condizioni fisiologiche e patofisiologiche

  • 1. A Systems Biology Approach To Study Metabolic Regulation In Tissue/Organ Systems In Health And Disease States Nicola Lai Department of Biomedical Engineering Case Western Reserve University Dicembre 21, 2011
  • 2. Outline of Presentation Introduction to Systems Biology Projects Experimental approaches to study energy metabolism at different whole body levels: Cellular Tissue-Organ Whole Body Integration of experimental data to computational model to study O2 transport and metabolism in skeletal muscle (Diabetes) Fuel Homeostasis: Substrate Utilization (Cystic Fibrosis) Relation between experimental and computational models for optimal design of experiments and to generate hypotheses
  • 3. Systems Biology Study of the interactions between the components of biological systems, and how these interactions give rise to the function and behavior of that system (e.g., the enzymes and metabolites in a metabolic pathway) Organisms Organs Tissues Integrative Discover Functional Systems Biology Properties of the Cells Approach Biological Systems Proteins Genes
  • 4. Systems Approach: Integration Comprehensive data sets from distinct levels of biological systems; It is difficult to relate organ whole-organism function to cellular and sub-cellular function and structure properties; Integration of multi-scale data to build predictive mathematical models of the system; Investigate the behavior and relationships of all elements in a functioning biological system;
  • 5. Cellular Metabolism All the chemical processes that make it possible for the cells to continue living Cell
  • 6. Metabolic Systems Most metabolic pathways have been intensely studied; Little is known in quantitative terms about their control and integration with other pathways, as well as their interaction to regulate physiological variables (e.g., blood, glucose, muscle ATP) under normal and stress conditions; Fell D. Understanding the Control of Metabolism, 1997.
  • 7. Ongoing Research Projects Title Systems Biology Investigation of Muscle Exercise Metabolism in Diabetes Goal To quantify the key factors responsible for metabolic and mitochondrial dysfunction in diabetes and elucidate the impact of exercise training on energy metabolism Agency National Institute of Arthritis, Musculoskeletal & Skin Diseases Title Systems Biology Approach to Growth Regulation in Cystic Fibrosis Goal To investigate the patterns of energy homeostasis (energy utilization and imbalances) in control and cystic fibrosis (CF) mice using perturbations including pharmacologic treatment, genetic manipulations and altering energy balance by diet or exercise Agency Institute of General Medical Sciences
  • 8. Systems Biology Approach 1. Choose suitable biological model organism 2. Characterize endocrine-metabolic components of energy metabolism 3. Generate plausible hypotheses explaining differences between T2DM and control 4. Develop predictive, quantitative multiscale models of energy metabolism 5. Perturb systematically system to validate and refine model and to test hypotheses 6. Generate new experimentally testable hypotheses
  • 9. Metabolic Characteristics in T2DM Muscle metabolic functions decline with type 2 diabetes mellitus (T2DM) Metabolic dysfunction is accompanied by mitochondrial dysfunction and insulin resistance (IR) Mitochondrial dysfunction is related to IR, but the cause-and-effect relationship between them remains to be defined The altered metabolic regulation under which insulin is less effective in inducing glucose utilization is not completely understood
  • 10. Why study exercise metabolism Muscle energy metabolism in healthy & disease state Detect and prevent pathologies (e.g. Diabetes) Therapeutic intervention to ameliorate quality of life in elderly and subjects with metabolic disorders
  • 11. Experimental Approach -Exercise Acute Perturbation / Stimuli -Hypoxia, Hyperoxia Chronic Stimuli / Conditions -Drugs -Training, Microgravity -Diseases (e.g. Diabetes, Myopathies) Biological Systems -Physiological variables (e.g. Blood flow) -Metabolic variables (e.g. Substrates, Enzymes) System Outputs
  • 12. Whole body response to exercise Stimulus Response Physiological Process
  • 13. Exercise Protocol WR [watt] Range (80-200) Warm up (20) Time [min] NT E E IV ERY T UP A T T A VE RY S RES M NS K R TI VE AS OV AR CO OR AC CO P C W RE RE W
  • 14. Physiological responses to exercise 1.50 Indirect Calorimetry 1.25 Pulmonary 1.00 VO2 [L min ] O2 Uptake -1 0.75 0.50 Bioimpedance Cardiography 0.25 Cardiac 0.00 0 50 100 150 200 250 300 350 400 450 500 Output [second] 30 12.5 25 NIR 10.0 Spectroscopy 20 7.5 Cdeoxy [mM] Q [L min ] Muscle -1 15 Oxygenation 5.0 10 2.5 5 0 0.0 0 50 100 150 200 250 300 350 400 450 500 0 50 100 150 200 250 300 350 400 450 500 [second] [second]
  • 15. Characterization of the physiological variable response to stimulus Mathematical Model t ≤ t0 +TD Y( t ) = YBL t > t0 +TD Y( t ) = YBL + A (1 − e( t0 +TD − t )/ τ ) Rest Stimuli Parameters YBL + A A, Amplitude τ, Time Constant A TD, Delay Time YBL TD t0 t, Time [min]
  • 16. τ Effect of time constant (τ) on the physiological response 1.8 τ=30s τ= 1.5 τ=30s τ= τ=90s τ= VO2 [L min ] 1.2 -1 0.9 0.6 0.3 0 100 200 300 400 500 600 700 [second]
  • 17. VO2 Responses to Exercise in Human Subjects: Type II Diabetes Mellitus (T2DM) & Health (Control) T2DM CONTROL Time [s] PAD Time [s] Impaired cardiac responses to exercise Alteration O2 diffusion and/or utilization in skeletal muscle is also possible Regensteiner et al. 1998, Journal of Applied Physiology
  • 18. VO2 Responses to Exercise in Human Subjects: Cystic Fibrosis (CF) & Health (Control) Control CF Time [s] Time [s] Dynamic response of pulmonary O2 uptake (VO2) in humans during exercise slower with CF than healthy VO2 response can be affected by pulmonary impairment but peripheral factors (O2 transport and metabolism) may also play a role Hebestreit et al., 2005
  • 19. Effect of Exercise on VO2 response to exercise in T2DM patients Control τ=40s τ= T2DM τ=72s τ= Bradenburg et al., Diabetes Care 22, p1640–1646, 1999
  • 20. Linking Cell, Tissue/Organ systems & Whole Body Whole Body Cell Tissue/Organ Systems
  • 21. Whole body & tissue-organ responses to exercise Stimulus Response LUNGS LUNGS Pulmonary Pulmonary Physiological O2 Uptake O2 Uptake Process HEART HEART Cardiac Output Cardiac Output Arterio/venous Arterio/venous difference difference SKELETAL MUSCLE SKELETAL MUSCLE -Blood O2 Saturation -Blood O2 Saturation -Tissue O2 -Tissue O2 Saturation Saturation -Muscle Blood Flow -Muscle Blood Flow
  • 22. Measurements of Muscle Blood Flow (Q), Arterial and Venous O2 concentrations Catheter Radial Artery Cart,O 2 Catheter Femoral Vein Cven,O 2 Muscle O2 Uptake VO2m=Q (Cart,O2-Cven,O2) MEASUREMENTS Blood Samples: Arterial and venous O2 concentration (Cart,O2, Cven,O2) by Oximeter Tissue Biopsies: Metabolite concentrations by GS, MS Muscle Blood Flow (Q) by thermo-dilution technique
  • 23. Cardio-respiratory & skeletal muscle responses to exercise VO2A , Alveolar Oxygen Uptake Qleg, Muscle Blood Flow, Ca-Cv, Arterio-Venous diff. VO2leg, Muscle Oxygen Uptake Grassi et al., JAP (1996) 80, p988-998
  • 24. Linking Cell, Tissue/Organ systems & Whole Body Whole Body Cell Tissue/Organ Systems
  • 25. Mitochondrial respiration responses to different substrates Stimulus Response Substrates Buffer Polarographic Solution System Water Water 30°C 30°C Oxygen ∆V consumption Rate Magnetic Electrode System stir bar Magnetic mixer
  • 26. Oxidative phosphorylation rate in healthy and disease states Functional defects in dehydrogenase activities The mitochondria of patient ‘C’ Pyruvate oxidation is impaired Defect in the pyruvate dehydrogenase complex The mitochondria of patient ‘D’ Glutamate and succinate oxidation are impaired Defect in fumarase activity Puchowicz et al., 377–385 , 2004
  • 27. Dynamic response of O2 utilization at different whole body levels Biological Systems Time constant Cell 2.5 s Skeletal Muscle 25÷30 s Whole Body 30÷35 s
  • 28. Factors affecting bioenergetics function Central Cardiovascular and respiratory systems Ventilation; O2 Diffusion from Alveoli to pulmonary capillary Cardiac Output; Peripheral Skeletal Muscle systems O2 Diffusion from muscle capillary to myocytes Metabolic processes (Cytosol, mitochondria)
  • 29. Linking Cell, Tissue/Organ systems & Whole Body Whole Body Tissue/Organ Systems Cell
  • 31. Multi-compartmental System Model Capillary Blood Q Ca,j Q Cv,j Cb,j Interstitial Fluid Jb↔c,j Cisf,j ↔ Specie j Specie j transport rate Ca,j: Arterial concentration Cc,j | Rc,j from blood to cytosol, Jb↔c,j Cv,j: Venous concentration from cytosol to mitochondria, Jc↔m,j Pc,j Uc,j Cb,j: Capillary blood concentration Cytosol Jc↔m,j ↔ Species j reaction rate Cisf,j: Interstitial fluid concentration Rc,j=Pc,j – Uc,j cytosol Cc,j: Cytosolic concentration Cm,j | Rm,j Rm,j=Pm,j – Um,j mitochondria Cm,j: Mitochondrial concentration Pm,j Um,j Mitochondria Px,j =∑p βx,j,p φx,p φ Reaction flux Ux,j = ∑u βx,j,u φx,u β Stoichiometric coefficient
  • 32. Dynamic Mass Balance Equations ( ) dCb, j Blood (b): Vb = Q Ca, j − Cb, j − J b↔ c, j dt dCc, j Cytosol (c): Vc = ∑ β c, j, pφ c, p − ∑ β c, j,uφ c,u + J b↔ c, j − J c ↔ m, j dt p u dCm, j Mitochondria (m): Vm = ∑ β m, j, pφ m, p − ∑ β m, j,uφ m,u + J c ↔ m, j dt p u Q: Muscle blood flow Cx,j: Species concentration in each domain (blood, cytosol or mitochondria) Jb↔c,j : Transport fluxes between blood and cytosolic domain ↔ Jc↔m,j : Transport fluxes between cytosolic and mitochondrial domain ↔ φp, φu: Metabolic reaction fluxes: production or utilization βp, βu: Stoichiometric coefficients.
  • 33. Metabolic Reaction Fluxes Reaction A+ B C+D Ordered bi-bi Michaelis-Menten kinetics Vmax,f [ A][ B ] Vmax,r [ P ][Q] − K a Kb K p Kq φ= [ A] [ B ] [ A][ B ] [ P] [Q] [ P][Q] 1+ + + + + + K a Kb K a Kb K p K q K p K q Haldane Relation Metabolic Parameters Vmax, f K p K q Vmax,r = K eq , K a , Kb , K p , K q K a K b K eq
  • 34. Inter-domain Transport Fluxes Transport Processes Blood-Cytosol (b↔c ) Cytosol-Mitochondria (c↔m ) b↔c,p: Ala, Glr, CO2, O2, H+ c↔m,p: CO2 and O2 b↔c,f: Glc, Pyr, Lac, FFA c↔m,f: Pyr, FAC, Pi, CoA, H+, Cit, Mal PASSIVE Jxp↔y, j = λx↔y, j (Cx, j −Cy, j )       Jx↔y, j =  FACILITATED  J f = T  Cx, j Cy, j  −  x↔y, j x↔y, j  Mx↔y, j + Cx, j Mx↔y,, j + Cy, j      
  • 35. Whole body model O2 Transport between Lungs & Skeletal muscle Dynamic balance of O2 in Lungs Alveoli LUNGS V dCAO2 Lb VA(t), C IO2 Alveolar Space VO2p CAO2 VA = VA( t )( CI O2 − CAO2 ) − ∫ JA ↔ LO2 ,b dv & dt 0 Capillary VO2A Cven Cart Lung Capillary Blood Q(t) ∂CLO2 ,b ∂CLO2 ,b ∂ 2 CLO2 ,b OTHER ORGANS organs = −Q +D + JA ↔ LO2 ,b 0 < v < VLb ∂t ∂v ∂v 2 Tissue Qo Capillary Other Organs Tissue VRb dCRO2 ,c =− ∫J R ↔ RO2 ,b dv + MRO2 MUSCLE Qm(t) VR Tissue UO2m dt 0 Cven,m Cart,m Blood 0 < v < VR ,b Capillary VO2m ∂CRO2 ,b ∂CRO2 ,b ∂ CRO2 ,b 2 = −Q0 + DR + JR ↔ RO2 ,b ∂t ∂v ∂v 2 Arterial & Venous Systems O2 Diffusion ∂CrO2 ∂CrO2 ∂ 2 CrO2 JR ↔ RO ,b = PS R ( PRO2 ,b − PRO2 ,c ) = −Q + Dr ; 0 < v < Vr 2 ∂t ∂v ∂v 2 JA ↔ LO2 ,b = PS L ( PAO2 − PLO2 ,b )
  • 36. Model Prediction of metabolic processes at cellular level: Cytosol and Mitochondria Response to Exercise Variations in Glycogen concentration Under pathological conditions or with special diet, glycogen stores in skeletal muscle at rest can differ significantly Li et al., AJPEM 298, p1198-1209, 2010
  • 37. Model Prediction of metabolic processes at whole skeletal muscle 120 Muscle Q [mL 100g min ] Effect of blood flow -1 100 Blood Flow 80 Model Simulation on VO2m response -1 Exp.Data - Normoxia 60 40 Self Perfused (SP) Model Simulation to contraction Exp.Data - Normoxia 20 Pump Perfused (PP) Catheter 0 Radial Artery 18 Arterio-Venous 16 Cart,O2 14 Difference VO 2 [mLO 2 100g min ] CA-V [vol %] 12 Model Prediction 10 Exp.Data - Normoxia 8 Self Perfused (SP) 6 Model Prediction Catheter 4 Exp.Data - Normoxia Femoral Vein T 2 Pump Perfused (PP) 0 Cven,O2 -1 18 Muscle O2 16 14 Uptake -1 12 Model Prediction 10 Exp.Data - Normoxia 8 Self Perfused (SP) 6 Model Prediction 4 Exp.Data - Normoxia *Grassi et al., 2000 2 Pump Perfused (PP) JAP. 89: 1293-1301 0 0 30 60 90 120 150 180 210 240 270 300 Spires et al., 2011 Time [s] JAP. Submitted
  • 38. Model Prediction of metabolic processes at whole body level 0.2 Dynamic responses of Muscle 0.1 O2 saturation & Pulmonary O2 uptake to exercise 0.0 LUNGS LUNGS ∆StO2m/StO2m w -0.1 Pulmonary Pulmonary -0.2 O2 Uptake O2 Uptake -0.3 Model Simulation Experimental Data -0.4 HEART HEART 2.5 Cardiac Cardiac 2.0 Output Output VO2p [L O2/min] 1.5 1.0 MUSCLE MUSCLE 0.5 Model Simulation Experimental data Oxygen Oxygen 0.0 Saturation Saturation -1 0 1 2 3 4 Time [min]
  • 39. Factors affecting bioenergetics function Central Cardiovascular and respiratory systems Ventilation; O2 Diffusion from Alveoli to pulmonary capillary Cardiac Output; Peripheral Skeletal Muscle systems O2 Diffusion from muscle capillary to myocytes Metabolic processes (Cytosol, mitochondria)
  • 40. Mathematical Modeling and Analysis: Hypotheses of cellular and physiological regulation Inputs: Outputs: Mathematical Experimental Metabolic Model Conditions Responses Hyp.1 Hypotheses Hyp.2 Hyp.1: Impairment of cellular transport (e.g. facilitate diffusion) Hyp.2: Activation/Inhibition of enzymatic Hyp.3 reactions and/or metabolic pathway Hyp.3: Impairment of substrate delivery (e.g., reduced blood flow)
  • 41. Cystic Fibrosis: Genetic Complex Disorder Cystic Fibrosis is a complex, systemic, and multi-organ disorder Although CFTR gene is identified, many aspects of CF cannot be related directly to chloride channel defect Are pulmonary infection, inflammation, and growth retardation primary effects or secondary consequences? A Systems Approach is Needed !
  • 42. Energy Homeostasis in CF Energy Supply Intake of FAT, CHO, and protein Digestion and absorption of nutrients Energy Utilization Oxidation of FAT, CHO and Protein Leaks: lower efficiency, cachexia Total energy expenditure Energy Balance Body composition Insulin
  • 43. Hormonal and Metabolic Characteristics of Tissues in CF Skeletal Muscle Lower work efficiency and inorganic phosphorus-to- phosphocreatine ratio during exercise Dysfunction of aerobic and anaerobic metabolism Liver Impaired suppression of hepatic glucose production and non-oxidative glucose metabolism stimulated by insulin De novo lipogenesis related to carbohydrate utilization Adipose Tissue Plasma palmitate 50% higher in human CF than control during insulin infusion Impaired suppression of adipose tissue lipolysis by insulin
  • 44. System Model: Whole-Body & Organ-Tissues Gas Exchange O2 CO2 Brain Heart Exercise Skeletal Muscle Liver Insulin Glucagon Organ system is connected via GI blood carrying substrates Adipose Carbohydrates and fat utilization during exercise Others Hormonal activation/inhibition of metabolic pathways
  • 45. Multi-compartmental System Model Capillary Blood Q Ca,j Q Cv,j Cb,j Interstitial Fluid Jb↔c,j Cisf,j ↔ Specie j Specie j transport rate Ca,j: Arterial concentration Cc,j | Rc,j from blood to cytosol, Jb↔c,j Cv,j: Venous concentration from cytosol to mitochondria, Jc↔m,j Pc,j Uc,j Cb,j: Capillary blood concentration Cytosol Jc↔m,j ↔ Species j reaction rate Cisf,j: Interstitial fluid concentration Rc,j=Pc,j – Uc,j cytosol Cc,j: Cytosolic concentration Cm,j | Rm,j Rm,j=Pm,j – Um,j mitochondria Cm,j: Mitochondrial concentration Pm,j Um,j Mitochondria Px,j =∑p βx,j,p φx,p φ Reaction flux Ux,j = ∑u βx,j,u φx,u β Stoichiometric coefficient
  • 46. Dynamic Mass Balance Equations ( ) dCb, j Blood (b): Vb = Q Ca, j − Cb, j − J b↔ c, j dt dCc, j Cytosol (c): Vc = ∑ β c, j, pφ c, p − ∑ β c, j,uφ c,u + J b↔ c, j − J c ↔ m, j dt p u dCm, j Mitochondria (m): Vm = ∑ β m, j, pφ m, p − ∑ β m, j,uφ m,u + J c ↔ m, j dt p u Q: Muscle blood flow Cx,j: Species concentration in each domain (blood, cytosol or mitochondria) Jb↔c,j : Transport fluxes between blood and cytosolic domain ↔ Jc↔m,j : Transport fluxes between cytosolic and mitochondrial domain ↔ φp, φu: Metabolic reaction fluxes: production or utilization βp, βu: Stoichiometric coefficients.
  • 47. Metabolic Pathways in Adipose Tissue Lactate Pyruvate Alanine CO2 CO2 CoA LAC PYR ALA NADH CoA CO2 PYR ATP NADH NAD+ NADH NAD+ ATP CoA NADP+ NADPH ADP+Pi ADP+Pi NAD+ NADH ATP Proteins FA ACoA NADH NAD+ GAP2 NAD+ ADP+Pi ATP NADH NADH ADP+Pi CoA NAD+ CoA NAD+ GAP1 G3P1 FAC ATP GLR G3P2 ADP NADH NAD+ ADP+Pi FAC ATP ADP FAC CoA Pi CoA ATP Pi CoA DG TG DG F6P R5P GLR CO2 DG MG FAC NADPH ADP+2Pi ATP FAATGL MG NADP+ HSL DG GLY G6P ADP+Pi ATP GLR Pi ADP O2 H2O HSL NADH NAD+ FA MG ATP MG GLR GLC ATP ADP MGL HSL Tissue FA Glucose O2 FFA Blood VLDL-TG Glycerol + Epinephrine Insulin Work Rate
  • 48. Tissue Specific Metabolic Pathways Pathways Brain Heart Muscle GI Liver 1. Glucose Utilization: GLC + ATP ⇒ G6P + ADP 2. G6P Breakdown: G6P + ATP ⇒ 2GA3P + ADP 3. GA3P Breakdown:GA3P + Pi + 2ADP + NAD+⇒ PYR + 2ATP + NADH 4. Gluconeogenesis-1: PYR + 3ATP + NADH ⇒ GAP + 3ADP + Pi + NAD+ 5. Gluconeogenesis-2: 2GA3P ⇒ G6P + Pi 6. Gluconeogenesis-3: G6P ⇒ GLC + Pi 7. Glycogenesis: G6P + ATP ⇒ GLY + ADP + 2Pi 8. Glycogenolysis: GLY + Pi ⇒ G6P 9. Pyruvate Reduction: PYR + NADH ⇒ LAC + NAD 10. Lactate Oxidation: LAC + NAD ⇒ PYR + NADH 11. Glycerol Phosphorylation: GLR + ATP ⇒ G3P + ADP 12. GA3P Reduction: GA3P + NADH ⇒ G3P + NAD 13. Glycerol-3-P Oxidation: G3P + NAD ⇒ GA3P + NADH 14. Alanine Formation: PYR ⇒ ALA 15. Alanine Conversion: ALA ⇒ PYR 16. Pyruvate Oxidation: PYR + CoA + NAD ⇒ ACoA + NADH + CO2 17. Palmitate Oxidation: FA+8CoA+14NAD+2ATP ⇒ 8ACoA+14NADH+2ADP+2Pi 18. Palmitate Synthesis: 8ACoA + 7ATP + 14NADH ⇒ FA + 8CoA + 7ADP + 7Pi + 14NAD 19. Lypolysis: TG ⇒ 3FA + GLR 20. Triglyceride Production: 3FA + G3P + 6ATP ⇒ TG + 6ADP + 6Pi 21. TCA Cycle: ACoA + 4NAD + ADP + Pi ⇒ 4NADH + CoA + ATP +2CO2 22. Oxygen Consumption: 2NADH + 6ADP + 6Pi + O2 ⇒ 2NAD + 6ATP 23. Phosphocreatine Breakdown: PCR + ADP ⇒ CR + ATP 24. Phosphocreatine Synthesis: CR + ATP ⇒ PCR + ADP 25. ATP Hydrolysis: ATP ⇒ ADP + Pi + Energy
  • 49. Skeletal Muscle/Adipose Tissue Interactions CO2 LPL LAC PYR ALA GLR VLDL-TG FFA NAD+ NADH + Proteins CO2 LAC PYR ALA NADH CoA CoA – ATP ATP CO2 ATP NADH NAD+ ADP+Pi ADP+Pi – NAD+ ADP+Pi NAD+ CoA NADH – ADP GAP1 NADH GAP2 NADH NAD+ NADH ACoA NADH NAD+ CoA NAD+ NAD+ ATP ATP ADP+Pi F6P R5P G3P1 G3P2 FAC FA CO2 CoA NADH ADP+Pi ATP + GLR NADP+ CoA MGL + Pi ATGL HSL CoA Pi G6P GLY HSL HSL ADP+Pi DG TG DG MG ADP ATP ADP+2Pi – – ATP MG DG GLR MG GLR MG ATP GLC ADP+Pi ATP Pi O2 H2 O ATP ADP NADH NAD+ Tissue Blood GLC O2 LAC PYR ALA GLR FFA CO2 NAD+ NADH CO2 LAC PYR ALA NADH CoA NAD+ NADH CO2 PYR NAD+ ATP NADH ATP ATP ADP NAD NADH CoA ATP ADP+Pi ADP NAD+ ADP+Pi GLR FA ACoA NAD+ NADH CoA GAP G3P ATP ADP ATP ADP ADP PCR CR Pi ATP ADP ADP+2Pi ATP ATP GLY G6P TG ATP ADP Pi ADP ATP ADP+Pi ATP GLC O2 H2 O Tissue NADH NAD+ Blood GLC TG O2
  • 50. Experimental protocol and measurements WR PROTOCOL MEASUREMENTS [watt] Blood 100 Hormones: Insulin; Norepinephrine 60 minute 50 Epinephrine Growth Hormon (GH) Substrates: Lactate T Glycerol T UP ES M T AN TE Time Glucose R NS RA AR W CO RK [min] Nonesterified Fatty Acid WO Tissue Exercise maximal test; Substrates: Exercise at moderate work rate (WR) Dialysate Glycerol equivalent to 50% of VO2peak Koppo et al., 2010
  • 51. Hormone responses to exercise 450 35 400 Model simulation 30 350 Experimental Data 300 25 Epinephrine [pm] Hormone [pm] 250 20 200 15 Glucagon 150 Model Simulation 100 10 Experimental Data Insulin 50 Model Simulation 5 0 Experimental Data -50 0 -10 0 10 20 30 40 50 60 70 80 -10 0 10 20 30 40 50 60 70 80 Time [min] Time [min] Koppo et al., 2010
  • 52. Glucose Homeostasis During Exercise 6000 2000 1800 5000 Glucose 1600 Utilization Rate [µmol/min] Production Glucose [µmmol/min] 1400 4000 1200 3000 1000 800 2000 Model Simulation 600 Experimental Data 400 1000 200 0 0 -10 0 10 20 30 40 50 60 70 80 -10 0 10 20 30 40 50 60 70 80 Time [min] Time [min] Koppo et al., 2010
  • 53. Plasma Metabolite Responses to Exercise 1.4 3.0 Model Simulation Experimental Data 2.5 1.2 Lactate, LAC/LAC0 [-] Fatty Acid, FA/FA0 [-] 2.0 1.0 1.5 1.0 0.8 0.5 Model Simulation Experimental Data 0.6 0.0 -10 0 10 20 30 40 50 60 70 80 -10 0 10 20 30 40 50 60 70 80 Time [min] Time [min] Koppo et al., 2010
  • 54. Glycerol Responses to Exercise Plasma Adipose Tissue 3.5 3.5 3.0 3.0 Model Simulation Glycerol, GLC/GLC0 [-] Glycerol, GLC/GLC0 [-] 2.5 2.5 Experimental Data 2.0 2.0 1.5 1.5 1.0 1.0 Model Simulation 0.5 Experimental Data 0.5 0.0 0.0 -10 0 10 20 30 40 50 60 70 80 -10 0 10 20 30 40 50 60 70 80 Time [min] Time [min] Koppo et al., 2010
  • 55. Hypothesis: Fatty Acid Oxidation Impaired in Skeletal Muscle at High-intensity Exercise Transport of long-chain fatty acid into mitochondria impaired via CPT-I inhibition Perfusion of adipose tissue inadequate to deliver fatty acid to skeletal muscle Lipolysis inhibited via lactate or high catecholamine concentration
  • 56. Effect of Adipose Tissue Blood Flow on Fatty Acid oxidation in skeletal muscle 1.0 Fatty Acid (FA) Release of Adipose Tissue (AT) 0.9 FA Oxidation of Skeletal Muscle (SM) Lipolysis 0.8 FA Uptake 0.7 SM SM SM SM SM Rate [mmol/min] AT AT AT AT 0.6 0.5 0.4 AT 0.3 0.2 AT SM 0.1 0.0 Rest 10% 30% 50% 100% 150% Exercise* *Horizontal axis: ATBF/ATBF0 adipose tissue blood flow at steady-state moderate exercise relative to basal physiological value
  • 57. Relation between experimental and computational models to optimal design experiments and generate hypotheses
  • 58. Integrative Systems Biology Approach Aim Support the iterative process in defining alternative hypotheses, and designing optimum experiments Impact Design of experimental protocols for specific evaluation of disease and improved treatments based on simulations with experimentally validated mechanistic models
  • 59. Conclusion Physiological-based models of a complex system can Integrate knowledge about components Incorporate interactions of system elements Facilitate quantitative understanding of function Hierarchical multilevel models provide means For testing hypotheses For predicting critical experiments
  • 60. Projects & Sponsors Agency: NASA, National Aeronautics and Space Administration Project: Time Course of Metabolic Adaptation during Loading & Unloading Agency: NSF, National Science Foundation Project: Database-enabled tools for Regulatory Metabolic Networks Agency: NIDDK, National Institute of Diabetes and Digestive & Kidney Diseases Project: Systems Biology Approach to Growth Regulation in Cystic Fibrosis Agency: Ministero degli Affari Esteri - International Environmental & Scientific Affairs Department of State. Project: Central and peripheral factors contributing to the impaired oxidative metabolism in microgravity: experimental and theoretical approach Agency: NIGMS - National Institute of General Medical Sciences Project: Center for Modeling Integrated Metabolic Systems