MODEL8684444027
type: SBMLModel
parameter: 662391
parameter: 662557
rule: 662260
parameter: 662593
rule: 662256
units def: 100778
parameter: 662531
rule: 662335
notes: This a model from the article: Mathematical model for the androgenic regulation of the prostate in intact and castrated adult male rats. Potter LK, Zager MG, Barton HA. Am J Physiol Endocrinol Metab. 2006:91(5):E952-64. 16757547 , Abstract: The testicular-hypothalamic-pituitary axis regulates male reproductive system functions. Understanding these regulatory mechanisms is important for assessing the reproductive effects of environmental and pharmaceutical androgenic and antiandrogenic compounds. A mathematical model for the dynamics of androgenic synthesis, transport, metabolism, and regulation of the adult rodent ventral prostate was developed on the basis of a model by Barton and Anderson (1997). The model describes the systemic and local kinetics of testosterone (T), 5alpha-dihydrotestosterone (DHT), and luteinizing hormone (LH), with metabolism of T to DHT by 5alpha-reductase in liver and prostate. Also included are feedback loops for the positive regulation of T synthesis by LH and negative regulation of LH by T and DHT. The model simulates maintenance of the prostate as a function of hormone concentrations and androgen receptor (AR)-mediated signal transduction. The regulatory processes involved in prostate size and function include cell proliferation, apoptosis, fluid production, and 5alpha-reductase activity. Each process is controlled through the occupancy of a representative gene by androgen-AR dimers. The model simulates prostate dynamics for intact, castrated, and intravenous T-injected rats. After calibration, the model accurately captures the castration-induced regression of the prostate compared with experimental data that show that the prostate regresses to approximately 17 and 5% of its intact weight at 14 and 30 days postcastration, respectively. The model also accurately predicts serum T and AR levels following castration compared with data. This model provides a framework for quantifying the kinetics and effects of environmental and pharmaceutica…
parameter: 662607
parameter: 662537
parameter: 662643
parameter: 662573
rule: 662307
parameter: 662649
parameter: 662579
rule: 662279
rule: 662321
rule: 662254
curated: false
parameter: 662507
rule: 662295
parameter: 662603
parameter: 662629
area units: area
parameter: 662645
rule: 662311
rule: 662240
parameter: 662591
parameter: 662503
parameter: 662529
parameter: 662625
rule: 662276
parameter: 662661
parameter: 662389
units def: 100971
rule: 662347
parameter: 662369
rule: 662262
parameter: 662385
rule: 662258
parameter: 662637
parameter: 662435
parameter: 662365
parameter: 662617
rule: 662244
parameter: 662477
rule: 662323
rule: 662337
parameter: 662431
parameter: 662457
rule: 662234
units def: 100875
parameter: 662613
parameter: 662377
parameter: 662437
parameter: 662473
parameter: 662499
rule: 662242
parameter: 662411
parameter: 662383
parameter: 662417
parameter: 662523
parameter: 662453
units def: 100935
parameter: 662373
parameter: 662399
parameter: 662459
parameter: 662565
parameter: 662495
rule: 662285
length unit: length
units def: 100899
rule: 662264
parameter: 662423
parameter: 662545
parameter: 662525
parameter: 662429
parameter: 662359

662391
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATst

100814
type: SBMLUnitsDef
unit: 100826
name: nanomole

100826
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: MOLE

662557
type: Parameter
constant: true
units: 100899
value: 71.9
name: keR

100899
type: SBMLUnitsDef
unit: 100923
unit: 100911
name: l_hr

100923
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 3600.0
kind: SECOND

100911
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE

662593
type: Parameter
constant: true
units: 100899
value: 6.08
name: Qc

100778
type: SBMLUnitsDef
unit: 100802
unit: 100790
name: nM

100802
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE

100790
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: MOLE

662531
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATb

662607
type: Parameter
constant: true
value: 2.89
name: Vmax0

662537
type: Parameter
constant: true
units: 100899
value: 0.13
name: kLH1

662643
type: Parameter
constant: true
units: 100778
value: 0.075
name: CDNAsec

662573
type: Parameter
constant: true
units: 100995
value: 1.17E-7
name: kcpl

100995
type: SBMLUnitsDef
unit: 101019
unit: 101007
name: kg_hr

101019
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 3600.0
kind: SECOND

101007
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: KILOGRAM

662649
type: Parameter
constant: true
units: 100778
value: 0.6275
name: CTb

662579
type: Parameter
constant: true
units: 100995
value: 8.44E-6
name: ksec

662507
type: Parameter
constant: false
units: 100778
value: NaN
name: CDpf

662603
type: Parameter
constant: true
units: 100899
value: 1000.0
name: mu

662629
type: Parameter
constant: true
units: 100778
value: 500000.0
name: CA

662645
type: Parameter
constant: true
units: 100778
value: 0.075
name: CDNAcp

662591
type: Parameter
constant: false
units: 100899
value: NaN
name: Qbt

662503
type: Parameter
constant: false
units: 100778
value: NaN
name: T

662529
type: Parameter
constant: false
units: dimensionless
value: NaN
name: DNAo5a

662625
type: Parameter
constant: false
units: 100778
value: NaN
name: CDbf

662661
type: Parameter
constant: true
units: 100778
value: 52.46
name: CDp

662389
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATif

100971
type: SBMLUnitsDef
unit: 100983
name: kg

100983
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: KILOGRAM

662369
type: Parameter
constant: false
units: 100778
value: 0.0
name: CD_A

662385
type: Parameter
constant: false
units: 100778
value: NaN
name: CTlf

662637
type: Parameter
constant: true
units: 100814
value: 0.104
name: CLH

662435
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDDcd

662365
type: Parameter
constant: true
units: 101055
value: 0.18
name: kTA_on

101055
type: SBMLUnitsDef
unit: 101092
unit: 101080
unit: 101068
name: second_order_rate_constant

101092
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 3600.0
kind: SECOND

101080
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE

101068
type: SBMLUnit
exponent: -1.0
scale: -9
multipler: 1.0
kind: MOLE

662617
type: Parameter
constant: true
units: dimensionless
value: 1.0
name: PTb

662477
type: Parameter
constant: false
units: 100778
value: 0.0
name: CTT5a

662431
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDD5a

662457
type: Parameter
constant: true
units: 101031
value: 0.56
name: kDNA_offDT5a

101031
type: SBMLUnitsDef
unit: 101043
name: first_order_rate_constant

101043
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 3600.0
kind: SECOND

100875
type: SBMLUnitsDef
unit: 100887
name: hour

100887
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 3600.0
kind: SECOND

662613
type: Parameter
constant: true
value: 2.75
name: PTl

662377
type: Parameter
constant: false
units: 100778
value: NaN
name: CDblf

662437
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDDcd

662473
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDTcp

662499
type: Parameter
constant: true
units: 101031
value: 8.4
name: kDNA_offTTcp

662411
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDT

662383
type: Parameter
constant: false
units: 100814
value: 0.0
name: ADl

662417
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDD

662523
type: Parameter
constant: false
units: dimensionless
value: NaN
name: DNAocp

662453
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDT5a

100935
type: SBMLUnitsDef
unit: 100959
unit: 100947
name: nmol_hr

100959
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 3600.0
kind: SECOND

100947
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: MOLE

662373
type: Parameter
constant: true
units: 101031
value: 5407.0
name: kDA_off

662399
type: Parameter
constant: false
units: 100778
value: 0.0
name: CT_R

662459
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDTcd

662565
type: Parameter
constant: false
units: litre
value: NaN
name: Vpc

662495
type: Parameter
constant: false
units: 100778
value: 0.0
name: CTTcp

662423
type: Parameter
constant: false
units: 100778
value: 0.0
name: CTT

662545
type: Parameter
constant: true
units: dimensionless
value: 0.25
name: alpha_T

662525
type: Parameter
constant: false
units: dimensionless
value: NaN
name: DNAosec

662429
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDD5a

662359
type: Parameter
constant: true
units: 100935
value: 0.17
name: k2T

662465
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDTsec

662395
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATp

662561
type: Parameter
constant: false
units: 100899
value: NaN
name: Qp

662587
type: Parameter
constant: true
units: 100899
value: 1.06
name: Ql

662471
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDTcp

662409
type: Parameter
constant: true
units: 101031
value: 0.018
name: kDR_off

662445
type: Parameter
constant: true
units: 101031
value: 0.2
name: kDNA_offDDsec

662611
type: Parameter
constant: true
units: dimensionless
value: 1.0
name: PTst

662541
type: Parameter
constant: true
units: 100935
value: 1.68E-4
name: kLH3

662425
type: Parameter
constant: true
units: 101055
value: 0.14
name: kTT_on

662461
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDTcd

662487
type: Parameter
constant: true
units: 101031
value: 1.2
name: kDNA_offTTcd

662547
type: Parameter
constant: true
units: dimensionless
value: 0.75
name: alpha_D

662653
type: Parameter
constant: true
units: 100971
value: 1.0E-4
name: VPC1b

662583
type: Parameter
constant: false
units: litre
value: NaN
name: Vp

662371
type: Parameter
constant: true
units: 101055
value: 0.15
name: kDA_on

662659
type: Parameter
constant: true
units: 100778
value: 11.38
name: CTp

662599
type: Parameter
constant: true
units: 100778
value: 40.0
name: km5alpha

662493
type: Parameter
constant: true
units: 101031
value: 2.4
name: kDNA_offTTsec

662511
type: Parameter
constant: true
units: dimensionless
value: 1.0
name: NDp

662405
type: Parameter
constant: false
units: 100778
value: 0.0
name: CD_R

662441
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDDsec

662633
type: Parameter
constant: true
units: 100778
value: 0.92
name: CDl

662517
type: Parameter
constant: false
units: 100778
value: NaN
name: CDNAsecf

662447
type: Parameter
constant: false
units: 100778
value: 0.0
name: CDDcp

662553
type: Parameter
constant: false
units: 100814
value: 0.0
name: AR

662483
type: Parameter
constant: false
units: 100778
value: 0.0
name: CTTcd

662393
type: Parameter
constant: false
units: 100778
value: NaN
name: CTtv

662559
type: Parameter
constant: false
units: 100778
value: NaN
name: CR

662595
type: Parameter
constant: true
units: 101031
value: 87.93
name: k1T

662533
type: Parameter
constant: false
units: 100814
value: 0.0
name: ADb

662513
type: Parameter
constant: false
units: 100778
value: NaN
name: CRf

662539
type: Parameter
constant: true
units: 100935
value: 0.026
name: kLH2

662575
type: Parameter
constant: true
units: 101031
value: 0.014
name: kcd1

662635
type: Parameter
constant: true
units: 100778
value: 307.29
name: CTst

662581
type: Parameter
constant: true
units: 101031
value: 0.043
name: kflo

662358
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATbl

662509
type: Parameter
constant: false
units: 100778
value: NaN
name: D

662605
type: Parameter
constant: true
value: 3.65
name: Vmax1

662535
type: Parameter
constant: false
units: 100814
value: 0.0
name: ALH

662641
type: Parameter
constant: true
units: 100778
value: 0.075
name: CDNAcd

662571
type: Parameter
constant: false
units: litre
value: 0.0
name: VPC1

662647
type: Parameter
constant: true
units: 100778
value: 0.075
name: CDNA5a

662481
type: Parameter
constant: true
units: 101031
value: 0.84
name: kDNA_offTT5a

662621
type: Parameter
constant: false
units: 100778
value: NaN
name: CTbf

662505
type: Parameter
constant: true
units: dimensionless
value: 0.79
name: NTp

662601
type: Parameter
constant: true
units: dimensionless
value: 0.56
name: ts

662627
type: Parameter
constant: true
units: 100778
value: 0.59
name: CDbl

662527
type: Parameter
constant: false
units: dimensionless
value: NaN
name: DNAocd

662623
type: Parameter
constant: true
units: 100778
value: 7.6
name: CTbl

662387
type: Parameter
constant: false
units: 100778
value: NaN
name: CDlf

662639
type: Parameter
constant: true
units: 100778
value: 307.29
name: CTif

662367
type: Parameter
constant: true
units: 101031
value: 8131.0
name: kTA_off

662619
type: Parameter
constant: true
units: dimensionless
value: 0.62
name: PDb

662479
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onTT5a

662433
type: Parameter
constant: true
units: 101031
value: 0.07
name: kDNA_offDD5a

662363
type: Parameter
constant: false
units: 100778
value: 0.0
name: CT_A

662615
type: Parameter
constant: true
value: 2.0
name: PDl

662379
type: Parameter
constant: false
units: 100778
value: NaN
name: CAf

662439
type: Parameter
constant: true
units: 101031
value: 0.1
name: kDNA_offDDcd

662475
type: Parameter
constant: true
units: 101031
value: 5.6
name: kDNA_offDTcp

662413
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDT_on

662455
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDT5a

662375
type: Parameter
constant: false
units: 100778
value: NaN
name: CTblf

662567
type: Parameter
constant: false
units: 100935
value: NaN
name: Vmax

662497
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onTTcp

662381
type: Parameter
constant: false
units: 100814
value: 0.0
name: ATl

662415
type: Parameter
constant: true
units: 101031
value: 3.13
name: kDT_off

662521
type: Parameter
constant: false
units: 100778
value: NaN
name: CDNAcpf

662451
type: Parameter
constant: true
units: 101031
value: 0.7
name: kDNA_offDDcp

662467
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDTsec

662397
type: Parameter
constant: false
units: 100814
value: 0.0
name: ADp

662361
type: Parameter
constant: false
units: 100814
value: 0.0
name: ADbl

662563
type: Parameter
constant: true
units: 101031
value: 73.84
name: kQp

662589
type: Parameter
constant: true
units: 100899
value: 0.061
name: Qt

662501
type: Parameter
constant: false
units: 100778
value: NaN
name: CTpf

662569
type: Parameter
constant: true
units: 100935
value: 3.02
name: k5a

662421
type: Parameter
constant: true
units: 101031
value: 3.13
name: kDD_off

662543
type: Parameter
constant: true
units: 101031
value: 0.8
name: kLH4

662427
type: Parameter
constant: true
units: 101031
value: 3.13
name: kTT_off

662463
type: Parameter
constant: true
units: 101031
value: 0.8
name: kDNA_offDTcd

662489
type: Parameter
constant: false
units: 100778
value: 0.0
name: CTTsec

662549
type: Parameter
constant: false
units: 100935
value: NaN
name: A

662655
type: Parameter
constant: true
units: litre
value: 5.08E-5
name: VPC2

662585
type: Parameter
constant: false
units: 100899
value: NaN
name: Qb

662401
type: Parameter
constant: true
units: 101055
value: 0.14
name: kTR_on

662469
type: Parameter
constant: true
units: 101031
value: 1.6
name: kDNA_offDTsec

101104
type: SBMLUnitsDef
unit: 101116
name: time

101116
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 3600.0
kind: SECOND

100838
type: SBMLUnitsDef
unit: 100862
unit: 100850
name: ng_ml

100862
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: LITRE

100850
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: GRAM

662407
type: Parameter
constant: true
units: 101055
value: 0.053
name: kDR_on

662443
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDDsec

662609
type: Parameter
constant: true
units: dimensionless
value: 1.96
name: PTif

662519
type: Parameter
constant: false
units: 100778
value: NaN
name: CDNA5af

662449
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onDDcp

662555
type: Parameter
constant: true
units: 100935
value: 68.15
name: k1R

662485
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onTTcd

662651
type: Parameter
constant: true
units: 100778
value: 0.019884
name: CDb

662231
type: Compartment
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0

662657
type: Parameter
constant: true
units: litre
value: 3.08E-6
name: VPL2

662597
type: Parameter
constant: true
units: 101031
value: 77.2
name: k1D

662491
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDNA_onTTsec

662403
type: Parameter
constant: true
units: 101031
value: 0.069
name: kTR_off

662631
type: Parameter
constant: true
units: 100778
value: 9.92
name: CTl

662419
type: Parameter
constant: true
units: 101055
value: 0.14
name: kDD_on

662515
type: Parameter
constant: false
units: 100778
value: NaN
name: CDNAcdf

662551
type: Parameter
constant: false
units: 100935
value: NaN
name: B

662577
type: Parameter
constant: false
units: litre
value: 0.0
name: VPL1