Model Mathematics

Component: environment

Component: temp_myogrs_and_pamk

Component: aldosterone

Component: angiotensin_control_of_aldosterone_secretion

ANMAL=ANM-1ANMALD+1

Component: osmotic_control_of_aldosterone_secretion

OSMAL=CKE-3.31.0

Component: aldosterone_secretion

AMRBSC=ANMAL0.909OSMAL AMRT=AMRBSC-1AMKMUL+1 AMR=0ifAMRT<0AMRTotherwise AMR1=ALDKNSifALDKNS>0AMR+ALDINFotherwise

Component: aldosterone_concentration

ddtimeAMC=AMR1-AMCAMT

Component: general_aldosterone_multiplier

AM1=AM1UL-AM1UL-1AM1LL-1AM1LL-AM1ULAMC-1AMCSNS+1 AM=AM1-1ALDMM+1

Component: aldosterone_effect_on_cell_membrane_K_transport

AMKT=AM-1AMKM+1 AMK=0.2ifAMKT<0.2AMKTotherwise

Component: aldosterone_effect_on_cell_membrane_Na_transport

AMNAT=AM-1AMNAM+1 AMNA=AMNALLifAMNAT<AMNALLAMNAULifAMNAT>AMNAULAMNATotherwise

Component: aldosterone_parameter_values

Component: angiotensin

Component: instantaneous_angiotensin_formation

MDFLW3=MDFLW ANGSCR=11+MDFLW3-172ifMDFLW3>110-91+1-MDFLW38otherwise

Component: time_delayed_angiotensin_formation

ANX=ANGSCR-1ANXM ddtimeANX1=ANX-ANX1ANV

Component: total_angiotensin_formation

ANPRT=ANGSCR+ANX1REK ANPR=0.00001ifANPRT<0.00001ANPRTotherwise

Component: artificial_angiotensin_formation

ANPR1=ANGKNSifANGKNS>0ANPR+ANGINFotherwise

Component: angiotensin_concentration

ddtimeANC=ANPR1-ANCANT

Component: general_angiotensin_multiplier

ANM=ANMUL-ANMUL-1ANMLL-1ANMLL-ANMULANC-1ANCSNS+1

Component: angiotensin_effect_on_circulation

ANU1=ANM-1ANUM+1 ANU=ANULLifANU1<ANULLANU1otherwise

Component: angiotensin_effect_on_venous_constriction

ANUVN=ANU-1ANUVM+1

Component: angiotensin_parameter_values

Component: antidiuretic_hormone

Component: osmotic_control_of_ADH_secretion

ADHNA1=CNA-CNR142-CNR ADHNA=0ifADHNA1<0ADHNA1otherwise

Component: pressure_control_of_ADH_secretion

ADHPA=ADHPULifPA1>ADHPULPA1otherwise ADHPR=ADHPUL-ADHPA2ADHPAM

Component: total_ADH_secretion

ADH1=ADHNA+ADHPR+ADHINF ADH=0ifADH1<0ADH1otherwise

Component: ADH_in_blood

ddtimeADHC=ADH-ADHCADHTC

Component: ADH_effect_on_nonrenal_vascular_resistance

ADHMV1=ADHVUL-ADHVUL-1ADHVLL-1ADHVLL-ADHVULADHC-1+1 ADHMV=ADHVLLifADHMV1<ADHVLLADHMV1otherwise

Component: ADH_effect_on_kidney

ADHMK1=ADHKUL-ADHKUL-1ADHKLL-1ADHKLL-ADHKULADHC-1+1 ADHMK=ADHKLLifADHMK1<ADHKLLADHMK1otherwise

Component: antidiuretic_hormone_parameter_values

Component: atrial_natriuretic_peptide

Component: total_ANP_secreted

ANPL=0ifPLA-11<0PLA-11otherwise ANPR2=0ifPRA+12<0PRA+12otherwise ANP=ANPL+ANPR23

Component: ANP_into_circulation

ANP1=ANPKNSifANPKNS>0ANP+ANPINFotherwise

Component: ANP_in_plasma

ddtimeANPC=ANP1-ANPCANPTC

Component: ANP_effect_on_renal_afferent_arteriolar_resistance

ANPX1=ANPXUL-ANPXUL0.55555561+ANPC ANPX=-1ifANPX1<-1ANPX1otherwise

Component: atrial_natriuretic_peptide_parameter_values

Component: autonomics

Component: pressure_driving_autonomic_receptors

PA1=CRRFLXifCRRFLX>0.0000001PA-EXEotherwise

Component: chemoreceptors_effect_of_PA

AUC=0.00580-PA1AUC1ifPA1<80PA1400.2AUC1ifPA1<400otherwise

Component: chemoreceptors_effect_of_art_PO2

AUC2=O2CHMO80-PO2ARTifPO2ART<80PO2ART40O2CHMO40ifPO2ART<400otherwise AUC3=AUC+AUC2

Component: arterial_baroreceptor_reflex

AUB=0.016667160-PA1ifPA1<160PA1801.3336ifPA1<800otherwise A1B=AUB-1AUX+1 AU6A=A1B-AU4 ddtimeAU6=AU6A-AU6BAROTC AU6C=AU6

Component: CNS_ischemic_reflex

AUN=0.0440-PA1AUN1ifPA1<400otherwise

Component: autonomic_response_to_vasculature_pressure

AULP=15PLA+PRA+PPA-1AULPM+1

Component: autonomic_response_to_exercise

AUEX=EXCEXCXP

Component: total_autonomic_stimulation

AUTTL1=AUEXAULPAUC3+AU6C+AUN-1EXCML+1 AUTTL=0ifAUTTL1<0AUTTL1otherwise

Component: actual_autonomic_stimulation

DAU=AUTTL-AU1AUDMP ddtimeAU1=DAU AUT=AUMAX-AUMAX-1AUSLPAU1-1 AU=AUMINifAUT<AUMINAUTotherwise

Component: autonomic_drive_on_target_organs_and_tissues

VVR=VV9-AUAUL+AUL AUO=AU-1 AUH=AUOAUV+1 AUR=AUOAUS+1 AOM=AUOO2A+1 AUM=AUOAUM1+1AUM2 AVE=AUOAUY+1

Component: autonomics_parameter_values

Component: capillary_dynamics

Component: capillary_membrane_dynamics

Component: capillary_pressure

PC=RVS1.7BFN+PVS

Component: rate_of_fluid_out_of_capillaries

VTC=PC-PPC-PGH+PTCCFC+VTCPL

Component: plasma_volume_and_protein

Component: plasma_volume

VPD=VTL-VTC-DFP+TRPL ddtimeVP=VPD

Component: plasma_protein_concentration

CPP=PRPVP

Component: protein_destruction_and_formation

CPPD=0ifCPP-CPR<0CPP-CPRotherwise DLP=LPPR-CPPDLPDELPK

Component: plasma_leakage

PRCD=0ifPC-PCR<0PC-PCRotherwise VTCPL=PRCDCPKPCE

Component: protein_influx_into_interstitium

DPC=VTCPLCPP+CPP-CPI0.00104

Component: total_plasma_protein

DPP=DLP+DPL-DPC-PPD+TRPL72 ddtimePRP=DPP

Component: plasma_colloid_osmotic_pressure

PPC=0.28CPP+0.0019CPP2

Component: systemic_tissue_fluid_volume_and_protein

Component: total_systemic_fluid_volume

VTS=VEC-VP-VPF

Component: interstitial_fluid_volume

ddtimeVTS2=VTS-12TSSLML-VTS2TSSLTC VTS1=VTS-VTS2

Component: total_interstitial_protein

DPI=DPC-DPL ddtimeTSP=DPI

Component: interstitial_protein_concentration

CPI=TSPVTS

Component: interstitial_colloid_osmotic_pressure

PTCPR=0.28CPI+0.0019CPI2

Component: lymph_protein_flow

DPL=CPIVTL

Component: tissue_gel_and_fluid_and_lymph_flow

Component: hydrostatic_pressure_of_tissue_gel

CHY=HYLVTS5CMPTSS PGH=CHYPGHF+PTT

Component: total_osmotic_pressure_of_tissue_gel

POSHYL=CHY2 PTC=POSHYLPTCPRGCOPF

Component: total_tissue_pressure

PTT=VTS1-VTSFVTSF21

Component: interstial_free_fluid_pressure

PIF=PGH-POSHYL

Component: interstitial_solid_tissue_pressure

PTS=PTT-PIF

Component: lymph_flow

PLD1=PIF+PLDF-PTT PLD=7ifPLD1>7PLD1otherwise VTL=0ifPLD<0PLD0.02otherwise

Component: interstitial_gel_volume

VG=0ifVTS00+11.4-0VTS-012-0ifVTS>0VTS1211.4+14-11.4VTS-1215-12ifVTS>12VTS1514+16-14VTS-1518-15ifVTS>15VTS1816+17.3-16VTS-1821-18ifVTS>18VTS2117.3+18-17.3VTS-2124-21ifVTS>21VTS2418otherwise

Component: interstitial_free_fluid_volume

VIF=VTS-VG

Component: capillary_dynamics_parameter_values

Component: circulatory_dynamics

Component: total_blood_volume_change

VBD=VP+VRC-VVS1-VAS1-VLA1-VPA1-VRA12

Component: right_atrium

Component: right_atrial_blood_volume

DRA=QVO-QRO ddtimeVRA1=DRA VRA=VRA1+VBD0.0574

Component: right_atrial_pressure

VRE=VRA-0.1 PRA=VRE0.005

Component: autonomic_stimulation_effect_on_right_atrial_pressure

PRA1=PRA+8HTAUMLAU-1+1-8

Component: right_ventricle

Component: pressure_effect_on_right_ventricular_pumping

PP2=PPAAUHOSA RVM=1.06ifPP201.06+0.97-1.06PP2-032-0ifPP2>0PP2320.97+0.93-0.97PP2-3238.4-32ifPP2>32PP238.40.93+0.8-0.93PP2-38.448-38.4ifPP2>38.4PP2480.8+0.46-0.8PP2-4860.8-48ifPP2>48PP260.80.46+0-0.46PP2-60.872-60.8ifPP2>60.8PP2720otherwise

Component: pumping_effectiveness_of_right_ventricle

HPEF=1-QRFAUHRVMHSRHMDHPR+QRFQLOQLN

Component: right_ventricular_output

QRN=0ifPRA1-80+0.75-0PRA1--8-6--8ifPRA1>-8PRA1-60.75+2.6-0.75PRA1--6-2--6ifPRA1>-6PRA1-22.6+9.8-2.6PRA1--24--2ifPRA1>-2PRA149.8+13.5-9.8PRA1-412-4ifPRA1>4PRA11213.5otherwise QRO=QRNHPEF

Component: pulmonary_vasculature

Component: pulmonary_vasculature_blood_volume

DPA=QRO-QPO ddtimeVPA1=DPA VPA=VPA1+VBD0.155

Component: pulmonary_vasculature_pressure

VPE=VPA-0.30625 PPA=VPE0.0048

Component: pulmonary_arterial_resistance

PP1T=0.026PPA PP1=0.00001ifPP1T<0.00001PP1Totherwise CPA=PP10.5 RPA=1CPA

Component: pulmonary_venous_resistance

PL1=PLA+18 RPV=1PL10.0357

Component: total_pulmonary_vascular_resistance

RPT=RPV+RPA

Component: pressure_gradient_through_the_lungs

PGL=PPA-PLA

Component: rate_of_blood_flow_from_pulmonary_veins_to_left_atrium

QPO=PGLRPT

Component: left_atrium

Component: left_atrial_blood_volume

DLA=QPO-QLO ddtimeVLA1=DLA VLA=VLA1+VBD0.128

Component: left_atrial_pressure

VLE=VLA-0.38 PLA=VLE0.01

Component: autonomic_stimulation_effect_on_left_atrial_pressure

PLA1=PLA+4HTAUMLAU-1+1-4

Component: left_ventricle

Component: pumping_effectiveness_of_left_ventricle

PA2=PAAUHOSA LVM=1.04ifPA201.04+1.025-1.04PA2-060-0ifPA2>0PA2601.025+0.97-1.025PA2-60125-60ifPA2>60PA21250.97+0.88-0.97PA2-125160-125ifPA2>125PA21600.88+0.59-0.88PA2-160200-160ifPA2>160PA22000.59+0-0.59PA2-200240-200ifPA2>200PA22400otherwise

Component: left_ventricular_output

QLN=0.01ifPLA1-20.01+3.6-0.01PLA1--21--2ifPLA1>-2PLA113.6+9.4-3.6PLA1-15-1ifPLA1>1PLA159.4+11.6-9.4PLA1-58-5ifPLA1>5PLA1811.6+13.5-11.6PLA1-812-8ifPLA1>8PLA11213.5otherwise QLOT=LVMQLNAUHHSLHMDHPL QLO1=PLA-PA3 QLO=QLOT+QLO1ifQLO1>0QLOTotherwise

Component: systemic_venous_system

Component: venous_blood_volume

DVS=QAO-QVO ddtimeVVS1=DVS VVS=VVS1+VBD0.3986

Component: angiotensin_induced_venous_constriction

VVA=ANU-1ANY

Component: venous_excess_volume

VVE1=VVS-VVR-VVA-VV7-VV6-ATRVFB VVE=0.0001ifVVE1<0.0001VVE1otherwise

Component: venous_average_pressure

PVS1=3.7+VVE-0.74CV PVS=0.0001ifPVS1<0.0001PVS1otherwise

Component: venous_outflow_pressure_into_heart

PR1=PR1LLifPRA<PR1LLPRAotherwise

Component: resistance_from_veins_to_right_atrium

RVG=0.74PVSVIM3.70.5

Component: rate_of_blood_flow_from_veins_to_right_atrium

PGV=PVS-PR1 QVO=PGVRVG

Component: venous_resistance

CN3=PC-17CN7+17CN2 RV1=RVSMCN3 RVS=AVERV1VIMANUVN

Component: NM_NR_venous_resistance

NNRVR=RVS1.79

Component: systemic_arterial_system

Component: arterial_blood_volume

DAS=QLO-QAO ddtimeVAS1=DAS VAS=VAS1+VBD0.261

Component: arterial_pressure_and_pressure_gradient

VAE=VAS-0.495 PA=VAE0.00355 PAG=PA-PRA

Component: pressure_effect_on_arterial_distention

PAM=PA100PAEX

Component: non_renal_systemic_arterial_resistance_multiplier

R1=ANUADHMVAUMVIMPAMKPAMATRRFB

Component: NM_NR_arterial_resistance

NNRAR=RARARMR1MYOGRSRMULT1

Component: pressure_gradient_from_arteries_to_veins

PGS=PA-PVS

Component: M_systemic_resistance

RSM=RAMAMMR1MYOGRSRMULT1

Component: total_NM_NR_systemic_resistance

RSN=NNRAR+NNRVR

Component: blood_flow_through_M_tissues

BFM=PGSRSM

Component: blood_flow_through_NM_NR_tissues

BFN=PGSRSN

Component: blood_flow_through_AV_fistulas

FISFLO=PAGFIS

Component: systemic_blood_flow

SYSFLO=BFM+BFN+RBF QAO=SYSFLO+FISFLO

Component: total_peripheral_resistance

RTP=PAGQAO

Component: circulatory_dynamics_parameter_values

Component: electrolytes

Component: extracellular_Na_concentration

NED=NIDSTH-NOD+TRPL142 ddtimeNAE=NED CNA=NAEVEC

Component: aldosterone_effect_on_cellular_K_distribution

AMK1=AMK-1ALCLK+1

Component: extracellular_K_concentration

KTOTD=KID-KOD ddtimeKTOT=KTOTD KE=KTOT-3000AMK19.3333 CKE=KEVEC

Component: intracellular_K_concentration

KI=KTOT-KE CKI=KIVIC

Component: intracellular_fluid_volume

CCD=CKI-CNA VID=CCDVIDML ddtimeVIC=VID

Component: total_body_water

ddtimeVTW=TVD-VUD

Component: extracellular_fluid_volume

VEC=VTW-VIC

Component: electrolytes_parameter_values

Component: heart_hypertrophy_or_deterioration

Component: left_ventricular_hypertrophy

ddtimeHPL=PAQAO500HSLZ13-HPL57600

Component: right_ventricular_hypertrophy

ddtimeHPR=PPAQAO75HSRZ13-HPR57600

Component: heart_deterioration

DHM=POT-10DHDTR ddtimeHMD1=DHM HMD=1ifHMD1>1HMD1otherwise

Component: heart_hypertrophy_or_deterioration_parameter_values

Component: heart_rate_and_stroke_volume

Component: effect_of_autonomic_stimulation_on_HR

AUHR=72AUR

Component: effect_of_PRA_on_HR

PRHR=PR1LL0.55

Component: effect_of_heart_deterioration_on_HR

HDHR=HMD-10.5+1

Component: heart_rate

HR=AUHR+PRHRHDHR

Component: stroke_volume_output

SVO=QLOHR

Component: HR_and_SV_parameter_values

Component: muscle_autoregulatory_local_blood_flow_control

Component: M_autoregulatory_driving_force

PDO=PMO-38

Component: M_short_term_autoregulation

Component: M_ST_sensitivity_control

POE=PDOPOM+1

Component: M_ST_time_delay_and_limit

ddtimeAMM1T=POE1-AMM1TA4K AMM1=AMM4ifAMM1T<AMM4AMM1Totherwise

Component: M_long_term_autoregulation

Component: M_LT_sensitivity_control

POF=POM2PDO+1

Component: M_LT_time_delay

ddtimeAMM2=POF1-AMM2A4K2

Component: global_M_blood_flow_autoregulation_output

AMM=AMM1AMM2

Component: M_autoregulatory_local_blood_flow_parameter_values

Component: muscle_O2_delivery

Component: M_O2_blood_supply

O2ARTM=OVABFM

Component: M_venous_O2_content

OVS=O2ARTM-RMOHM5.25BFM PVO=57.14OVSEXCEXCXP2

Component: metabolic_O2_consumption_by_M_tissue

P2O=38ifPMO>38PMOotherwise MMO=AOMOMMEXC1-38.0001-P2O354872

Component: delivery_of_O2_to_M_tissues

RMO=PVO-PMOPM5BFM

Component: volume_of_O2_in_M_tissue

DO2M=RMO-MMO ddtimeQOM1=DO2M QOM=0.0001ifQOM1<0.0001QOM1otherwise

Component: pressure_of_O2_in_M_tissue_cells

PMO=PK2QOM

Component: M_O2_delivery_parameter_values

Component: non_muscle_autoregulatory_local_blood_flow_control

Component: NM_autoregulatory_driving_force

POD=POT-POR

Component: NM_short_term_autoregulation

Component: NM_ST_sensitivity_control

POB=PODPOK+1

Component: NM_ST_time_delay_and_damping

ddtimeAR1T=POB1-AR1TA1K AR1=0.5ifAR1T<0.5AR1Totherwise

Component: NM_intermediate_autoregulation

Component: NM_I_sensitivity_control

POA=PONPOD+1

Component: NM_I_time_delay_and_limit

ddtimeAR2T=POA1-AR2TA2K AR2=0.5ifAR2T<0.5AR2Totherwise

Component: NM_long_term_autoregulation

Component: NM_LT_sensitivity_control

POC=POZPOD+1

Component: NM_LT_time_delay_and_limit

ddtimeAR3T=POC1-AR3TA3K AR3=0.3ifAR3T<0.3AR3Totherwise

Component: total_NM_autoregulation

ARM1=AR1AR2AR3

Component: global_NM_blood_flow_autoregulation_output

ARM=ARM1-1AUTOSN+1

Component: NM_autoregulatory_local_blood_flow_parameter_values

Component: non_muscle_O2_delivery

Component: NM_O2_blood_supply

O2ARTN=OVABFN

Component: NM_venous_O2_content

OSV=O2ARTN-DOBHM5.25BFN POV=OSV57.14

Component: O2_consumption_by_NM_tissue

P1O=35ifPOT>35POTotherwise MO2=AOMO2M1-35.0001-P1O342875

Component: delivery_of_O2_to_NM_tissues

DOB=POV-POT12.857BFN

Component: volume_of_O2_in_NM_tissue

DO2N1=DOB-MO2 DO2N=DO2N10.1ifQO2<6DO2N1<0DO2N1otherwise ddtimeQO2T=DO2N QO2=0ifQO2T<0QO2Totherwise

Component: pressure_of_O2_in_NM_tissue_cells

POT=QO20.48611

Component: NM_O2_delivery_parameter_values

Component: pulmonary_fluid_dynamics

Component: pulmonary_capillary_pressure

PCP=PPA-PLARPVRPV+RPA+PLA

Component: fluid_filtration_into_pulmonary_interstitium

PFI=PCP-PPI+POS-PPCCPF

Component: pulmonary_interstitial_free_fluid_volume

DFZ=PFI-PLF DFP=DFZ ddtimeVPF1=DFP VPF=0.001ifVPF1<0.001VPF1otherwise

Component: pulmonary_interstitial_fluid_pressure

PPI=2-0.15VPF

Component: concentration_of_protein_in_pulmonary_interstitium

PPZ=PPN-PPO PPD=PPZ ddtimePPR1=PPD PPR=0.025ifPPR1<0.025PPR1otherwise CPN=PPRVPF

Component: colloid_osmotic_pressure_of_pulmonary_interstitium

POS=CPN0.4

Component: protein_leakage_into_pulmonary_interstitium

PPN=CPP-CPN0.000225

Component: lung_lymphatic_protein_flow

PLF=PPI+110.0003 PPO=PLFCPN

Component: pulmonary_fluid_dynamics_parameter_values

Component: pulmonary_O2_uptake

Component: total_O2_utilization

O2UTIL=DOB+RMO

Component: alveolar_ventilation

ALVENT=O2UTILVNTSTM0.026667O2VTS2O2VAD2

Component: alveolar_PO2

PO2ALV=PO2AMB-O2UTILALVENT0.761

Component: respiratory_O2_diffusion_into_capillaries

RSPDFC=PL2VPTISS+VPF O2DFS=PO2ALV-PO2ARTRSPDFC

Component: O2_volume_of_arterial_blood

DOVA=O2DFS-O2UTILQRO1.0 ddtimeOVA=DOVA

Component: arterial_PO2

OSA=OVAHM5.25 PO2ART=114+OSA-16667ifOSA>174+OSA-0.936625ifOSA>0.936OSA146+OSA-0.8205.882ifOSA>0.8OSA0.936OSA57.5otherwise

Component: chemoreceptor_adaptation_of_alveolar_ventilation

Component: acute_chemoreceptor_adaptation_of_alveolar_ventilation

O2VTST1=PO2ART-6730 O2VTST=1ifO2VTST1>10.6ifO2VTST1<0.6O2VTST1otherwise O2VTS2=1O2VTST

Component: progressive_chemoreceptor_adaptation_of_alveolar_ventilation

DO2VAD=O2VTS2-13-O2VAD10.0005 ddtimeO2VAD1=DO2VAD O2VAD2=O2VAD1+1

Component: pulmonary_O2_uptake_parameter_values

Component: red_cells_and_viscosity

Component: blood_viscosity_calculations

Component: hematocrit_fraction

VB=VP+VRC HM1=VRCVB HM=100HM1

Component: viscosity_due_to_RBCs

VIE=HMHMK-HMHKM

Component: blood_viscosity

VIB=VIE+1.5 VIM=0.3333VIB

Component: RBC_formation_and_destruction

Component: oxygen_stimulation

PO2AM1=80ifPO2AMB>80PO2AMBotherwise HM3=PO2AM1-40HM HM4=PO2AMB-40 HM5=0ifHM3+HM4<0HM3+HM4otherwise HM7=HM6-HM5

Component: RBC_production

RC1=0ifHM7HM8REK+0.000005<0HM7HM8REK+0.000005otherwise

Component: RBC_destruction

RC2=VRCRKCVIM

Component: RBC_volume

RCD=RC1-RC2+TRRBC ddtimeVRC=RCD

Component: red_cells_and_viscosity_parameter_values

Component: stress_relaxation

Component: short_term_stress_relaxation

ddtimeVV7=VVE-0.74SR-VV7SRK

Component: long_term_stress_relaxation

ddtimeVV6=VVE-0.74SR2-VV6SRK2

Component: stress_relaxation_parameter_values

Component: thirst_drinking_and_salt_appetite

Component: effect_of_salt_appetite_stimulation_on_thirst

ANMSML=ANM-1ANMSLT+1 STH1=Z10-POT2Z11ANMSML STH=0.8ifSTH1<0.88ifSTH1>8STH1otherwise

Component: effect_of_antidiuretic_hormone_on_thirst

AHCM=ADHC-1AHTHM+1

Component: effect_of_angiotensin_on_thirst

ANMTH=ANM-1ANMTM0.001

Component: rate_of_fluid_intake

AHTH1=AHCMSTH0.001 AHTH=0ifAHTH1<0AHTH1otherwise TVZ1=ANMTH+AHTH1 TVZ=0ifTVZ1<0TVZ1otherwise ddtimeTVD=TVZ+DR-TVDTVDDL

Component: thirst_drinking_and_salt_appetite_parameter_values

Component: volume_receptors

Component: effect_of_pressure_on_volume_receptors

AHZ1=|PRA|AH10AH9 AHZ=-AHZ1ifPRA<0AHZ1otherwise

Component: time_dependent_volume_receptor_adaptation

ddtimeAHY=AHZ-AHYAH11

Component: total_volume_nervous_feedback

AH7=AHZ-AHY

Component: volume_effect_on_arteries

ATRRFB=AH7ATRFBM+1

Component: volume_effect_on_unstressed_venous_volume

ATRVFB=AH7ATRVM

Component: volume_receptors_parameter_values

Component: kidney

Component: perfusion_pressure

ddtimePAR1=100+PA-100RCDFPC-PAR1RCDFDP PAR=RAPRSPifRAPRSP>0RFCDFT0PAR1ifRFCDFT>0PA-GBLotherwise

Component: renal_autoregulatory_feedback_factor

RNAUG1T=MDFLW-1RNAUGN+1 RNAUG1=RNAULLifRNAUG1T<RNAULLRNAUULifRNAUG1T>RNAUULRNAUG1Totherwise RNAUG2=RNAUG1-RNAUG3 ddtimeRNAUG3=RNAUG2-1RNAUAD

Component: afferent_arterial_resistance

Component: autonomic_effect_on_AAR

AUMKT=AUM-1ARF+1 AUMK=0.8ifAUMKT<0.8AUMKTotherwise

Component: angiotensin_effect_on_AAR

ANMAR1=ANM-1ANMAM+1 ANMAR=ANMARLifANMAR1<ANMARLANMAR1otherwise

Component: AAR_calculation

AAR1=AARKPAMKRNAUMKRNAUG2ANMAR40MYOGRS

Component: atrial_natriuretic_peptide_effect_on_AAR

AART=AAR1-ANPXANPXAF+ANPXAF AAR=AARLLifAART<AARLLAARTotherwise

Component: efferent_arterial_resistance

Component: autonomic_effect_on_EAR

AUMK2=AUMK-1AUMK1+1

Component: angiotensin_effect_on_EAR

ANMER=ANM-1ANMEM+1

Component: effect_of_renal_autoregulatory_feedback_on_EAR

RNAUG4=RNAUG2-1EFAFR+1

Component: EAR_calculation

EAR1=43.333EARKANMERRNAUG4MYOGRSAUMK2 EAR=EARLLifEAR1<EARLLEAR1otherwise

Component: total_renal_resistance

RR=AAR+EAR

Component: normal_renal_blood_flow

RFN=PARRR

Component: actual_renal_blood_flow

RBF=REKRFN

Component: glomerular_capillaries

Component: glomerular_colloid_osmotic_pressure

EFAFPR1=RFN1-HM1RFN1-HM1-GFN EFAFPR=1ifEFAFPR1<1EFAFPR1otherwise GLPC=EFAFPR1.35PPC0.98ifGLPCA>0PPC+4otherwise

Component: glomerular_pressure

APD=AARRFN GLP=PAR-APD

Component: glomerular_filtration_rate

PFL=GLP-GLPC-PXTP GFN1=PFLGFLC GFN=GFNLLifGFN1<GFNLLGFN1otherwise GFR=GFNREK

Component: proximal_tubular_and_macula_densa_flow

PTFL=GFN8 MDFLWT=PTFL-1MDFL1+1 MDFLW=0ifMDFLWT<0MDFLWTotherwise

Component: renal_tissue_osmotic_pressure

RTSPPC1=GLPCRTPPR-RTPPRS RTSPPC=1ifRTSPPC1<1RTSPPC1otherwise

Component: urea_handling

Component: glomerular_urea_concentration

ddtimePLUR=URFORM-UROD

Component: plasma_urea_concentration

PLURC=PLURVTW

Component: renal_peritubular_capillaries

Component: peritubular_capillary_pressure

RCPRS=RFN-1.2RFABX+1.2RVRS

Component: peritubular_capillary_reabsorption_factor

RABSPR=GLPC+RTSPRS-RCPRS-RTSPPC RFAB1=RABSPRRABSC RFAB=RFAB1 RFABD1=RFAB-1RFABDM+1 RFABD=0.0001ifRFABD1<0.0001RFABD1otherwise

Component: sodium_and_potassium_handling

Component: distal_tubular_Na_delivery

DTNAI=MDFLWCNA0.0061619

Component: Na_reabsorption_into_distal_tubules

DTNARA1=AMNARFABDDTNARDIURETADHMK-1AHMNAR+1 DTNARA=DTNARLifDTNARA1<DTNARLDTNARA1otherwise

Component: angiotensin_induced_Na_reabsorption_into_distal_tubules

DTNANG1=ANM-1ANMNAM+10.1 DTNANG=0ifDTNANG1<0DTNANG1otherwise

Component: distal_tubular_K_delivery

DTKI=DTNAICKECNA

Component: effect_of_physical_forces_on_distal_K_reabsorption

RFABK=RFABD-1RFABKM

Component: effect_of_fluid_flow_on_distal_K_reabsorption

MDFLK1=MDFLW-1MDFLKM+1 MDFLK=0.1ifMDFLK1<0.1MDFLK1otherwise

Component: K_reabsorption_into_distal_tubules

ddtimeDTKA=KODNVUDN0.0004518-DTKA1.0

Component: K_secretion_from_distal_tubules

ANMKE1=ANM-1ANMKEM+1 ANMKE=ANMKELifANMKE1<ANMKELANMKE1otherwise DTKSC=CKE4.4CKEEXAMK0.08MDFLKANMKE

Component: urinary_excretion

Component: normal_Na_excretion

NODN1=DTNAI-DTNARA-DTNANG NODN=0.00000001ifNODN1<0.00000001NODN1otherwise

Component: normal_K_excretion

KODN1=DTKI+DTKSC-DTKA-RFABK KODN=0ifKODN1<0KODN1otherwise

Component: normal_urea_excretion

DTURI=GFN2PLURC3.84

Component: normal_osmolar_and_water_excretion

OSMOPN1=DTURI+2NODN+KODN OSMOPN=0.6ifOSMOPN1>0.6OSMOPN1otherwise

Component: normal_urine_volume

OSMOP1T=OSMOPN1-0.6 OSMOP1=0ifOSMOP1T<0OSMOP1Totherwise VUDN=OSMOPN600ADHMK+OSMOP1360

Component: actual_Na_excretion_rate

NOD=NODNREK

Component: actual_K_excretion_rate

KOD=KODNREK

Component: actual_urea_excretion_rate

UROD=DTURIREK

Component: actual_urine_volume

VUD=VUDNREK

Component: kidney_parameter_values