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Prostate Regulation: Modeling Endogenous Androgens and Exogenous Antiandrogens

Prostate weight. 1. Validation: Prostatic blood flow after castration. Lee 1981. Lekas et al. 1997. 1.5. Pharmacokinetics:. 8.6. Rittmaster et al. 1995. T blood simulation. Validation: Prostate weight after castration. LH blood simulation. T testes simulation. 0.8. 0.106. 312.

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Prostate Regulation: Modeling Endogenous Androgens and Exogenous Antiandrogens

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Prostate weight 1 Validation: Prostatic blood flow after castration Lee 1981 Lekas et al. 1997 1.5 Pharmacokinetics: 8.6 Rittmaster et al. 1995 T blood simulation Validation: Prostate weight after castration LH blood simulation T testes simulation 0.8 0.106 312 Prins 1989 8.4 1.5 Serum T 1 Data: Ono et al. 2004 Kyprianou and Isaacs 1988 Fraction of intact Model prediction 8.2 Coyotupa et al. 1973 308 0.104 Fraction of intact Data: Johansson et al. 2005 nM Serum DHT 0.6 1 8 Data: Ono et al. 2004 0.5 Coyotupa et al. 1973 Fraction of intact Model prediction Prostatic AR 304 0.102 7.8 Suzuki et al. 1997 0.5 Cell mass 0.4 0 7.6 Predicted Serum Hormone Concentrations after Simulated 0.02 nmol iv Dose of T Demonstrating Feedback Regulation 0 50 100 150 200 250 300 Duct lumen mass 300 0.1 Hours after castration Rittmaster et al. 1995 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 0 50 100 150 200 250 300 Time (hours) 0.2 Hours after castration 0 0 2 4 6 8 10 12 14 Days after castration In addition to the pharmacokinetic models above for testosterone and DHT, the model incorporates a compartmental model for luteinizing hormone (LH). There is an empirical description of the feedback loop between LH and testosterone. Predicted Prostate Regression Following Castration: Model Calibration and Validation Modeling Different Enzyme Inhibition Mechanisms for Finasteride Competitive Inhibition of Hepatic 5-Reductase Type 1 : T → DHT Two-Compartment PK model for Finasteride + T  5RT  5R + DHT 5R Central Compartment Peripheral Compartment Oral Dose Time-Dependent Inhibition of Prostatic 5-Reductase Type 2: T → DHT Finasteride Challenge Elimination Data: Rittmaster et al., 1995 Experimental Conditions: 40 mg/kg Finasteride daily for 21 d, Reported: Hormone concentrations and prostate mass for intact, finasteride treated and castrated rats at days 4, 9, 14, 21 Predicted Finasteride Concentration in Central Compartment (μM) Prostatic DHT Prostate Weight + Fin 5RFin5RFin* Prostatic T Off rate set to zero 5-reductase isoforms Type 1: Located throughout the body, high in liver, low in prostate. Finasteride competes competitively with T for 5-reductase type 1. Reversible enzyme inhibition. Type 2: High concentrations in prostate, low in most other tissues. Finasteride exhibits time-dependent inhibition of 5-reductase type 2. Very slow off rate (~30 d). Virtually irreversible enzyme inhibition. Prostate Mass (fraction of intact) Concentration (nM) Hours Days Model parameters from J. D. Stuart et al., 2001 Concentration (nM) Days Days Days Prostate Regulation: Modeling Endogenous Androgens and Exogenous Antiandrogens Hugh A. Barton1, Laura K. Potter2,3, Michael G. Zager1,21U.S EPA, ORD, Computational Toxicology Research Program, 2Curriculum in Toxicology, University of North Carolina-Chapel Hill; 3National Health and Environmental Effects Research Laboratory, U.S., EPA, RTP, NC Pharmacodynamics: Model Simulations: Science Question Prostate: Gene to Tissue Response Antiandrogens perturb hormonal regulation of the male endocrine system. Prostate function is a particularly sensitive response for androgen function. The dose-response characteristics of the system are not well characterized. Antiandrogens include both environmental and pharmaceutical compounds. Fungicides, such as vinclozolin and procimidone, and pharmaceutical agents, such as flutamide and bicalutamide are androgen receptor antagonists. Pharmaceutical inhibitors of 5-reductase conversion of testosterone to dihydrotestosterone (DHT), include finasteride. Castration is a commonly used surgical hormonal perturbation. Results/Conclusions The time course of prostate responses to androgen deprivation by castration or finasteride treatment is successfully reproduced by this combined biologically based pharmacokinetic and pharmacodynamic model. The model predicted data on prostate weight and blood flow that were not used in model parameter estimation (i.e., calibration). Research Goals Develop a model for the androgenic regulation of prostate function in intact and castrate rats. Incorporate antiandrogen pharmacokinetics and perturbations of prostate function. Extend model with pubertal transition to evaluate dose-response in pubertal assays. Impact and Outcomes The model demonstrates the potential for using biologically based models to describe underlying biology and its perturbation by environmental or pharmaceutical compounds. Further developments are required to simulate the literature on androgen supplementation via silastic implants to calibrate the dose-response aspects of the model including for gene expression data. That will result in a predictive model for the adult that could then be extended to describe the hormonal changes associated with puberty, which would be useful for interpretation of pubertal assay results. References Potter, L.K., Zager, M.G., and Barton, H.A. (2006) A Mathematical Model for the Androgenic Regulation of the Prostate in Intact and Castrate Adult Male Rats. Am J Physiol Endocrinol Metab. 291(5):E952-64 Coyotupa J, et al. Endocrinology 92: 1579-1581., 1973. Johansson A, et al. Endocrinology 146: 3463-3470, 2005. Kyprianou N and Isaacs JT. Endocrinology 122: 552-562., 1988. Lee C. Prog Clin Biol Res 75A: 145-159., 1981. Lekas E, et al. Urol Res 25: 309-314., 1997. Ono Y, et al. Int J Androl. 2004 Feb;27(1):50-6. Prins GS. J Steroid Biochem 33: 319-326., 1989 Rittmaster RS, et al. Endocrinology 136: 741-748., 1995. J. D. Stuart et al., Biochemical Pharmacology 62 (2001) 933-942

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