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Research ArticleMetabolism, Transport, and Pharmacogenomics

Mechanistic Multi—Tissue Modeling of Glucocorticoid-Induced Leucine Zipper Regulation: Integrating Circadian Gene Expression with Receptor-Mediated Corticosteroid Pharmacodynamics

Vivaswath S. Ayyar, Debra C. DuBois, Richard R. Almon and William J. Jusko
Journal of Pharmacology and Experimental Therapeutics October 2017, 363 (1) 45-57; DOI: https://doi.org/10.1124/jpet.117.242990
Vivaswath S. Ayyar
Department of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences (V.S.A., D.C.D., R.R.A., W.J.J.), and Department of Biological Sciences (D.C.D., R.R.A.), State University of New York at Buffalo, Buffalo, New York
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Debra C. DuBois
Department of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences (V.S.A., D.C.D., R.R.A., W.J.J.), and Department of Biological Sciences (D.C.D., R.R.A.), State University of New York at Buffalo, Buffalo, New York
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Richard R. Almon
Department of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences (V.S.A., D.C.D., R.R.A., W.J.J.), and Department of Biological Sciences (D.C.D., R.R.A.), State University of New York at Buffalo, Buffalo, New York
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William J. Jusko
Department of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences (V.S.A., D.C.D., R.R.A., W.J.J.), and Department of Biological Sciences (D.C.D., R.R.A.), State University of New York at Buffalo, Buffalo, New York
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  • Fig. 1.
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    Fig. 1.

    Pharmacokinetic model for methylprednisolone with dose input either as an intramuscular injection (IM) or a subcutaneous infusion (SC); the symbols are defined in the text and Table 1. The model is described by eqs. 1 and 2.

  • Fig. 2.
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    Fig. 2.

    Schematic representation of diverse molecular and cellular mechanisms of corticosteroid action on regulating gene expression. CBG, corticosteroid-binding globulin; FKBP, FK506 binding protein; hsp 70/90, heat shock protein 70/90; nGRE, negative glucocorticoid response element; RNAP, RNA polymerase.

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    Fig. 3.

    PK/PD model schematic for the pharmacogenomic effects of corticosteroids and circadian rhythms on the transcriptional regulation of GILZ mRNA expression. Curved input represents circadian pattern in production, open boxes reflect stimulation, and solid boxes depict inhibition of production rate of a turnover process. The model is described by eqs. 3–12. Parameters are defined in Tables 2 and 3.

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    Fig. 4.

    MPL pharmacokinetics in rats. Simulated plasma concentrations versus time after 50 mg/kg intramuscular (IM) injection of MPL using eqs. 1 and 2. Pharmacokinetics of MPL upon administration of 0.3-mg/kg/h subcutaneous (SC) infusion for 7 days. Solid lines represent model fittings, circles depict the mean, and error bars depict 1 standard deviation (n = 3).

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    Fig. 5.

    Circadian rhythm of GR mRNA expression in three tissues from baseline-control animals. Circles represent the mean and error bars, 1 standard deviation (n = 3). The solid line depicts the fitting results using the PK/PD model depicted in Fig. 3. Unshaded regions depict the light phase and shaded regions, dark phase of the 24-hour cycle.

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    Fig. 6.

    GR mRNA expression in three tissues from rats given 50 mg/kg IM MPL. Circles represent the mean and error bars, 1 standard deviation (n = 3). The solid line depicts the fitting using the PK/PD model depicted in Fig. 3 and parameter estimates listed in Table 2.

  • Fig. 7.
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    Fig. 7.

    Circadian rhythm of GILZ mRNA expression in three tissues from baseline-control animals. Circles represent the mean and error bars, 1 standard deviation (n = 3). The solid line depicts the fitting results using the PK/PD model depicted in Fig. 3. The dashed line represents plasma corticosterone measurements from the same animals.

  • Fig. 8.
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    Fig. 8.

    GILZ mRNA expression in three tissues from rats given 50 mg/kg IM MPL. Circles represent the mean and error bars, 1 standard deviation (n = 3) The solid lines show model fittings (Fig. 3) using parameter estimates listed in Table 3.

  • Fig. 9.
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    Fig. 9.

    GILZ mRNA expression in lung and adipose tissue from rats infused with 0.3 mg/kg/h SC MPL for 7 days. Solid circles represent experimental data from individual rats, and solid lines are simulations using the PK/PD model depicted in Fig. 3. The parameters used are those for acute steroid effects listed in Table 3.

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    Fig. 10.

    Simulated profiles of the driving forces (GR mRNA, free cytosolic receptor, and drug-receptor complex in the cytosol and nucleus) controlling GILZ regulation in lung and adipose tissue from rats infused with 0.3 mg/kg/h MPL for 7 days. Simulations are based on the model in Fig. 3. The parameters are those for acute MPL effects as listed in Tables 2 and 3.

Tables

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    TABLE 1

    Pharmacokinetic parameters of methylprednisolone

    ParameterDefinitionEstimate (CV%)
    FBioavailability0.214a,b/1.0c
    FrFraction absorbed by ka10.73a,b/NAc
    ka1 (h−1)Absorption rate constant1.26a,b/NAc
    ka2 (h−1)Absorption rate constant0.22a,b/NAc
    VP (ml/kg)Plasma volume of distribution718.7a,b,c
    VT (ml/kg)Tissue volume of distribution913.5a,b,c
    CLD (l/h/kg)Distribution clearance2.6a,b,c
    CL (l/h/kg)Clearance4.0a,b/8.3c (10.1)
    • ↵a Intramuscular parameter values fixed from Hazra et al. (2007b).

    • ↵b 50 mg/kg IM bolus.

    • ↵c 0.3 mg/kg/h SC infusion.

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    TABLE 2

    Parameter values for GR mRNA expression and receptor dynamics

    ParameterDefinitionEstimate (CV%)
    a0,GRmFourier coefficient for GR mRNA2824a/1055.9b/2216c,d
    a1,GRmFourier coefficient for GR mRNA6.8a/162.2b/−273.2c,d
    a2,GRmFourier coefficient for GR mRNA65.9c,d
    b1,GRmFourier coefficient for GR mRNA185.6a/−19.9b/−10.9c,d
    b2,GRmFourier coefficient for GR mRNA10.1c,d
    kd,GRm (h−1)Degradation rate constant for GR mRNA0.26 (15.4)a/0.28b (29.9)/0.31c,d
    ks,GR (nM/h)(mol/ng)-1Synthesis rate constant for receptor0.00025 (5.3)a/0.00121b (34.5)/0.00196c,d
    IC50,GRm (nM−1)Inhibition of GR mRNA production15.6e
    kd,GR (h−1)Degradation rate constant for receptor0.05e
    kon (nM−1·h−1)Association rate constant0.016e
    fmplUnbound fraction of MPL in plasma0.23e
    kre (h−1)DRn loss rate constant1.31e
    RfFraction recycled0.93e
    kT (h−1)Translocation rate constant58.3e
    GRm,MPL (0) (mol/ng RNA)GR mRNA initial concentration (treatment)4000 (fixed)a/1350b (10.7)/2200c,d
    GR(0) (nM)Free cytosolic receptor initial concentration19.7 (5.3)a/32.7b (34.5)/86.2c,d
    DR(0) (nM)Drug-receptor complex initial concentration0 (fixed)
    DRn(0) (nM)Nuclear complex initial concentration0 (fixed)
    • ↵a Lung.

    • ↵b Muscle.

    • ↵c Parameter values fixed from Sukumaran et al. (2011).

    • ↵d Adipose tissue.

    • ↵e Parameter values fixed from Hazra et al. (2007a).

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    TABLE 3

    Parameter values for the dynamics of GILZ mRNA expression

    ParameterDefinitionEstimate (CV%)
    a0,GILZmFourier coefficient for GILZ mRNA14,002a/6479b/9845c
    a1,GILZmFourier coefficient for GILZ mRNA−3447a/1133b/-441c
    b1,GILZmFourier coefficient for GILZ mRNA−8339a/-1651b/−5148c
    kd,GILZm (h−1)Degradation rate constant for GILZ mRNA0.45a (7.7)/0.16b (14.3)/0.21c (5.8)
    SDRnGILZm (nM−1)Stimulation of GILZ mRNA production0.47a (6.8)/0.27b (40.0)/0.3c (8.3)
    GILZmMPL (0) (mol/ng RNA)GILZ mRNA initial concentration (treatment)10,560a (fixed)/4249b (17.9)/6077c (21.3)
    • ↵a Lung.

    • ↵b Muscle.

    • ↵c Adipose tissue.

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Journal of Pharmacology and Experimental Therapeutics: 363 (1)
Journal of Pharmacology and Experimental Therapeutics
Vol. 363, Issue 1
1 Oct 2017
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Research ArticleMetabolism, Transport, and Pharmacogenomics

Modeling Tissue-Specific Pharmacogenomics of Steroid Action

Vivaswath S. Ayyar, Debra C. DuBois, Richard R. Almon and William J. Jusko
Journal of Pharmacology and Experimental Therapeutics October 1, 2017, 363 (1) 45-57; DOI: https://doi.org/10.1124/jpet.117.242990

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Research ArticleMetabolism, Transport, and Pharmacogenomics

Modeling Tissue-Specific Pharmacogenomics of Steroid Action

Vivaswath S. Ayyar, Debra C. DuBois, Richard R. Almon and William J. Jusko
Journal of Pharmacology and Experimental Therapeutics October 1, 2017, 363 (1) 45-57; DOI: https://doi.org/10.1124/jpet.117.242990
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