# Model Mathematics

### Component: angiotensin_control_of_aldosterone_secretion

$ANMAL=ANM-1⁢ANMALD+1$

### Component: osmotic_control_of_aldosterone_secretion

$OSMAL=CKE-3.31.0$

### Component: aldosterone_secretion

$AMRBSC=ANMAL⁢0.909⁢OSMALAMRT=AMRBSC-1⁢AMKMUL+1AMR=0ifAMRT<0AMRTotherwiseAMR1=ALDKNSifALDKNS>0AMR+ALDINFotherwise$

### Component: aldosterone_concentration

$ddtimeAMC=AMR1-AMCAMT$

### Component: general_aldosterone_multiplier

$AM1=AM1UL-AM1UL-1AM1LL-1AM1LL-AM1UL⁢AMC-1⁢AMCSNS+1AM=AM1-1⁢ALDMM+1$

### Component: aldosterone_effect_on_cell_membrane_K_transport

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

### Component: aldosterone_effect_on_cell_membrane_Na_transport

$AMNAT=AM-1⁢AMNAM+1AMNA=AMNALLifAMNATAMNAULAMNATotherwise$

### Component: instantaneous_angiotensin_formation

$MDFLW3=MDFLWANGSCR=11+MDFLW3-1⁢72ifMDFLW3>110-91+1-MDFLW3⁢8otherwise$

### Component: time_delayed_angiotensin_formation

$ANX=ANGSCR-1⁢ANXMddtimeANX1=ANX-ANX1ANV$

### Component: total_angiotensin_formation

$ANPRT=ANGSCR+ANX1⁢REKANPR=0.00001ifANPRT<0.00001ANPRTotherwise$

### Component: artificial_angiotensin_formation

$ANPR1=ANGKNSifANGKNS>0ANPR+ANGINFotherwise$

### Component: angiotensin_concentration

$ddtimeANC=ANPR1-ANCANT$

### Component: general_angiotensin_multiplier

$ANM=ANMUL-ANMUL-1ANMLL-1ANMLL-ANMUL⁢ANC-1⁢ANCSNS+1$

### Component: angiotensin_effect_on_circulation

$ANU1=ANM-1⁢ANUM+1ANU=ANULLifANU1

### Component: angiotensin_effect_on_venous_constriction

$ANUVN=ANU-1⁢ANUVM+1$

### Component: antidiuretic_hormone

$ADHNA1=CNA-CNR142-CNRADHNA=0ifADHNA1<0ADHNA1otherwise$

$ADHPA=ADHPULifPA1>ADHPULPA1otherwiseADHPR=ADHPUL-ADHPA2⁢ADHPAM$

$ADH1=ADHNA+ADHPR+ADHINFADH=0ifADH1<0ADH1otherwise$

$ddtimeADHC=ADH-ADHCADHTC$

$ADHMV1=ADHVUL-ADHVUL-1ADHVLL-1ADHVLL-ADHVUL⁢ADHC-1+1ADHMV=ADHVLLifADHMV1

$ADHMK1=ADHKUL-ADHKUL-1ADHKLL-1ADHKLL-ADHKUL⁢ADHC-1+1ADHMK=ADHKLLifADHMK1

### Component: total_ANP_secreted

$ANPL=0ifPLA-1⁢1<0PLA-1⁢1otherwiseANPR2=0ifPRA+1⁢2<0PRA+1⁢2otherwiseANP=ANPL+ANPR23$

### Component: ANP_into_circulation

$ANP1=ANPKNSifANPKNS>0ANP+ANPINFotherwise$

### Component: ANP_in_plasma

$ddtimeANPC=ANP1-ANPCANPTC$

### Component: ANP_effect_on_renal_afferent_arteriolar_resistance

$ANPX1=ANPXUL-ANPXUL0.5555556⁢1+ANPCANPX=-1ifANPX1<-1ANPX1otherwise$

### Component: pressure_driving_autonomic_receptors

$PA1=CRRFLXifCRRFLX>0.0000001PA-EXEotherwise$

### Component: chemoreceptors_effect_of_PA

$AUC=0.005⁢80-PA1⁢AUC1ifPA1<80∧PA1≥400.2⁢AUC1ifPA1<400otherwise$

### Component: chemoreceptors_effect_of_art_PO2

$AUC2=O2CHMO⁢80-PO2ARTifPO2ART<80∧PO2ART≥40O2CHMO⁢40ifPO2ART<400otherwiseAUC3=AUC+AUC2$

### Component: arterial_baroreceptor_reflex

$AUB=0.016667⁢160-PA1ifPA1<160∧PA1≥801.3336ifPA1<800otherwiseA1B=AUB-1⁢AUX+1AU6A=A1B-AU4ddtimeAU6=AU6A-AU6BAROTCAU6C=AU6$

### Component: CNS_ischemic_reflex

$AUN=0.04⁢40-PA1⁢AUN1ifPA1<400otherwise$

### Component: autonomic_response_to_vasculature_pressure

$AULP=15PLA+PRA+PPA-1⁢AULPM+1$

### Component: autonomic_response_to_exercise

$AUEX=EXCEXCXP$

### Component: total_autonomic_stimulation

$AUTTL1=AUEX⁢AULP⁢AUC3+AU6C+AUN-1⁢EXCML+1AUTTL=0ifAUTTL1<0AUTTL1otherwise$

### Component: actual_autonomic_stimulation

$DAU=AUTTL-AU1AUDMPddtimeAU1=DAUAUT=AUMAX-AUMAX-1ⅇAUSLP⁢AU1-1AU=AUMINifAUT

### Component: autonomic_drive_on_target_organs_and_tissues

$VVR=VV9-AU⁢AUL+AULAUO=AU-1AUH=AUO⁢AUV+1AUR=AUO⁢AUS+1AOM=AUO⁢O2A+1AUM=AUO⁢AUM1+1AUM2AVE=AUO⁢AUY+1$

### Component: capillary_pressure

$PC=RVS⁢1.7⁢BFN+PVS$

### Component: rate_of_fluid_out_of_capillaries

$VTC=PC-PPC-PGH+PTC⁢CFC+VTCPL$

### Component: plasma_volume

$VPD=VTL-VTC-DFP+TRPLddtimeVP=VPD$

### Component: plasma_protein_concentration

$CPP=PRPVP$

### Component: protein_destruction_and_formation

$CPPD=0ifCPP-CPR<0CPP-CPRotherwiseDLP=LPPR-CPPDLPDE⁢LPK$

### Component: plasma_leakage

$PRCD=0ifPC-PCR<0PC-PCRotherwiseVTCPL=PRCD⁢CPKPCE$

### Component: protein_influx_into_interstitium

$DPC=VTCPL⁢CPP+CPP-CPI⁢0.00104$

### Component: total_plasma_protein

$DPP=DLP+DPL-DPC-PPD+TRPL⁢72ddtimePRP=DPP$

### Component: plasma_colloid_osmotic_pressure

$PPC=0.28⁢CPP+0.0019⁢CPP2$

### Component: total_systemic_fluid_volume

$VTS=VEC-VP-VPF$

### Component: interstitial_fluid_volume

$ddtimeVTS2=VTS-12⁢TSSLML-VTS2⁢TSSLTCVTS1=VTS-VTS2$

### Component: total_interstitial_protein

$DPI=DPC-DPLddtimeTSP=DPI$

### Component: interstitial_protein_concentration

$CPI=TSPVTS$

### Component: interstitial_colloid_osmotic_pressure

$PTCPR=0.28⁢CPI+0.0019⁢CPI2$

### Component: lymph_protein_flow

$DPL=CPI⁢VTL$

### Component: hydrostatic_pressure_of_tissue_gel

$CHY=HYLVTS5CMPTSSPGH=CHY⁢PGHF+PTT$

### Component: total_osmotic_pressure_of_tissue_gel

$POSHYL=CHY⁢2PTC=POSHYL⁢PTCPR⁢GCOPF$

### Component: total_tissue_pressure

$PTT=VTS1-VTSFVTSF2⁢1$

### Component: interstial_free_fluid_pressure

$PIF=PGH-POSHYL$

### Component: interstitial_solid_tissue_pressure

$PTS=PTT-PIF$

### Component: lymph_flow

$PLD1=PIF+PLDF-PTTPLD=7ifPLD1>7PLD1otherwiseVTL=0ifPLD<0PLD⁢0.02otherwise$

### Component: interstitial_gel_volume

$VG=0ifVTS≦00+11.4-0⁢VTS-012-0ifVTS>0∧VTS≦1211.4+14-11.4⁢VTS-1215-12ifVTS>12∧VTS≦1514+16-14⁢VTS-1518-15ifVTS>15∧VTS≦1816+17.3-16⁢VTS-1821-18ifVTS>18∧VTS≦2117.3+18-17.3⁢VTS-2124-21ifVTS>21∧VTS≦2418otherwise$

### Component: interstitial_free_fluid_volume

$VIF=VTS-VG$

### Component: total_blood_volume_change

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

### Component: right_atrial_blood_volume

$DRA=QVO-QROddtimeVRA1=DRAVRA=VRA1+VBD⁢0.0574$

### Component: right_atrial_pressure

$VRE=VRA-0.1PRA=VRE0.005$

### Component: autonomic_stimulation_effect_on_right_atrial_pressure

$PRA1=PRA+8⁢HTAUML⁢AU-1+1-8$

### Component: pressure_effect_on_right_ventricular_pumping

$PP2=PPAAUHOSARVM=1.06ifPP2≦01.06+0.97-1.06⁢PP2-032-0ifPP2>0∧PP2≦320.97+0.93-0.97⁢PP2-3238.4-32ifPP2>32∧PP2≦38.40.93+0.8-0.93⁢PP2-38.448-38.4ifPP2>38.4∧PP2≦480.8+0.46-0.8⁢PP2-4860.8-48ifPP2>48∧PP2≦60.80.46+0-0.46⁢PP2-60.872-60.8ifPP2>60.8∧PP2≦720otherwise$

### Component: pumping_effectiveness_of_right_ventricle

$HPEF=1-QRF⁢AUH⁢RVM⁢HSR⁢HMD⁢HPR+QRF⁢QLOQLN$

### Component: right_ventricular_output

$QRN=0ifPRA1≦-80+0.75-0⁢PRA1--8-6--8ifPRA1>-8∧PRA1≦-60.75+2.6-0.75⁢PRA1--6-2--6ifPRA1>-6∧PRA1≦-22.6+9.8-2.6⁢PRA1--24--2ifPRA1>-2∧PRA1≦49.8+13.5-9.8⁢PRA1-412-4ifPRA1>4∧PRA1≦1213.5otherwiseQRO=QRN⁢HPEF$

### Component: pulmonary_vasculature_blood_volume

$DPA=QRO-QPOddtimeVPA1=DPAVPA=VPA1+VBD⁢0.155$

### Component: pulmonary_vasculature_pressure

$VPE=VPA-0.30625PPA=VPE0.0048$

### Component: pulmonary_arterial_resistance

$PP1T=0.026⁢PPAPP1=0.00001ifPP1T<0.00001PP1TotherwiseCPA=PP10.5RPA=1CPA$

### Component: pulmonary_venous_resistance

$PL1=PLA+18RPV=1PL1⁢0.0357$

### Component: total_pulmonary_vascular_resistance

$RPT=RPV+RPA$

$PGL=PPA-PLA$

### Component: rate_of_blood_flow_from_pulmonary_veins_to_left_atrium

$QPO=PGLRPT$

### Component: left_atrial_blood_volume

$DLA=QPO-QLOddtimeVLA1=DLAVLA=VLA1+VBD⁢0.128$

### Component: left_atrial_pressure

$VLE=VLA-0.38PLA=VLE0.01$

### Component: autonomic_stimulation_effect_on_left_atrial_pressure

$PLA1=PLA+4⁢HTAUML⁢AU-1+1-4$

### Component: pumping_effectiveness_of_left_ventricle

$PA2=PAAUH⁢OSALVM=1.04ifPA2≦01.04+1.025-1.04⁢PA2-060-0ifPA2>0∧PA2≦601.025+0.97-1.025⁢PA2-60125-60ifPA2>60∧PA2≦1250.97+0.88-0.97⁢PA2-125160-125ifPA2>125∧PA2≦1600.88+0.59-0.88⁢PA2-160200-160ifPA2>160∧PA2≦2000.59+0-0.59⁢PA2-200240-200ifPA2>200∧PA2≦2400otherwise$

### Component: left_ventricular_output

$QLN=0.01ifPLA1≦-20.01+3.6-0.01⁢PLA1--21--2ifPLA1>-2∧PLA1≦13.6+9.4-3.6⁢PLA1-15-1ifPLA1>1∧PLA1≦59.4+11.6-9.4⁢PLA1-58-5ifPLA1>5∧PLA1≦811.6+13.5-11.6⁢PLA1-812-8ifPLA1>8∧PLA1≦1213.5otherwiseQLOT=LVM⁢QLN⁢AUH⁢HSL⁢HMD⁢HPLQLO1=PLA-PA3QLO=QLOT+QLO1ifQLO1>0QLOTotherwise$

### Component: venous_blood_volume

$DVS=QAO-QVOddtimeVVS1=DVSVVS=VVS1+VBD⁢0.3986$

### Component: angiotensin_induced_venous_constriction

$VVA=ANU-1⁢ANY$

### Component: venous_excess_volume

$VVE1=VVS-VVR-VVA-VV7-VV6-ATRVFBVVE=0.0001ifVVE1<0.0001VVE1otherwise$

### Component: venous_average_pressure

$PVS1=3.7+VVE-0.74CVPVS=0.0001ifPVS1<0.0001PVS1otherwise$

### Component: venous_outflow_pressure_into_heart

$PR1=PR1LLifPRA

### Component: resistance_from_veins_to_right_atrium

$RVG=0.74PVSVIM⁢3.70.5$

### Component: rate_of_blood_flow_from_veins_to_right_atrium

$PGV=PVS-PR1QVO=PGVRVG$

### Component: venous_resistance

$CN3=PC-17⁢CN7+17⁢CN2RV1=RVSMCN3RVS=AVE⁢RV1⁢VIM⁢ANUVN$

### Component: NM_NR_venous_resistance

$NNRVR=RVS⁢1.79$

### Component: arterial_blood_volume

$DAS=QLO-QAOddtimeVAS1=DASVAS=VAS1+VBD⁢0.261$

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

### Component: pressure_effect_on_arterial_distention

$PAM=PA100PAEX$

### Component: non_renal_systemic_arterial_resistance_multiplier

$R1=ANU⁢ADHMV⁢AUM⁢VIM⁢PAMKPAMATRRFB$

### Component: NM_NR_arterial_resistance

$NNRAR=RAR⁢ARM⁢R1⁢MYOGRS⁢RMULT1$

$PGS=PA-PVS$

### Component: M_systemic_resistance

$RSM=RAM⁢AMM⁢R1⁢MYOGRS⁢RMULT1$

### 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

$FISFLO=PAG⁢FIS$

### Component: systemic_blood_flow

$SYSFLO=BFM+BFN+RBFQAO=SYSFLO+FISFLO$

### Component: total_peripheral_resistance

$RTP=PAGQAO$

### Component: extracellular_Na_concentration

$NED=NID⁢STH-NOD+TRPL⁢142ddtimeNAE=NEDCNA=NAEVEC$

### Component: aldosterone_effect_on_cellular_K_distribution

$AMK1=AMK-1⁢ALCLK+1$

### Component: extracellular_K_concentration

$KTOTD=KID-KODddtimeKTOT=KTOTDKE=KTOT-3000AMK1⁢9.3333CKE=KEVEC$

### Component: intracellular_K_concentration

$KI=KTOT-KECKI=KIVIC$

### Component: intracellular_fluid_volume

$CCD=CKI-CNAVID=CCD⁢VIDMLddtimeVIC=VID$

### Component: total_body_water

$ddtimeVTW=TVD-VUD$

### Component: extracellular_fluid_volume

$VEC=VTW-VIC$

### Component: left_ventricular_hypertrophy

$ddtimeHPL=PA⁢QAO500⁢HSLZ13-HPL57600$

### Component: right_ventricular_hypertrophy

$ddtimeHPR=PPA⁢QAO75⁢HSRZ13-HPR57600$

### Component: heart_deterioration

$DHM=POT-10⁢DHDTRddtimeHMD1=DHMHMD=1ifHMD1>1HMD1otherwise$

### Component: effect_of_autonomic_stimulation_on_HR

$AUHR=72⁢AUR$

### Component: effect_of_PRA_on_HR

$PRHR=PR1LL0.5⁢5$

### Component: effect_of_heart_deterioration_on_HR

$HDHR=HMD-1⁢0.5+1$

### Component: heart_rate

$HR=AUHR+PRHR⁢HDHR$

### Component: stroke_volume_output

$SVO=QLOHR$

### Component: M_autoregulatory_driving_force

$PDO=PMO-38$

### Component: M_ST_sensitivity_control

$POE=PDO⁢POM+1$

### Component: M_ST_time_delay_and_limit

$ddtimeAMM1T=POE⁢1-AMM1TA4KAMM1=AMM4ifAMM1T

### Component: M_LT_sensitivity_control

$POF=POM2⁢PDO+1$

### Component: M_LT_time_delay

$ddtimeAMM2=POF⁢1-AMM2A4K2$

### Component: global_M_blood_flow_autoregulation_output

$AMM=AMM1⁢AMM2$

### Component: M_O2_blood_supply

$O2ARTM=OVA⁢BFM$

### Component: M_venous_O2_content

$OVS=O2ARTM-RMOHM⁢5.25⁢BFMPVO=57.14⁢OVS⁢EXCEXCXP2$

### Component: metabolic_O2_consumption_by_M_tissue

$P2O=38ifPMO>38PMOotherwiseMMO=AOM⁢OMM⁢EXC⁢1-38.0001-P2O354872$

### Component: delivery_of_O2_to_M_tissues

$RMO=PVO-PMO⁢PM5⁢BFM$

### Component: volume_of_O2_in_M_tissue

$DO2M=RMO-MMOddtimeQOM1=DO2MQOM=0.0001ifQOM1<0.0001QOM1otherwise$

### Component: pressure_of_O2_in_M_tissue_cells

$PMO=PK2⁢QOM$

### Component: NM_autoregulatory_driving_force

$POD=POT-POR$

### Component: NM_ST_sensitivity_control

$POB=POD⁢POK+1$

### Component: NM_ST_time_delay_and_damping

$ddtimeAR1T=POB⁢1-AR1TA1KAR1=0.5ifAR1T<0.5AR1Totherwise$

### Component: NM_I_sensitivity_control

$POA=PON⁢POD+1$

### Component: NM_I_time_delay_and_limit

$ddtimeAR2T=POA⁢1-AR2TA2KAR2=0.5ifAR2T<0.5AR2Totherwise$

### Component: NM_LT_sensitivity_control

$POC=POZ⁢POD+1$

### Component: NM_LT_time_delay_and_limit

$ddtimeAR3T=POC⁢1-AR3TA3KAR3=0.3ifAR3T<0.3AR3Totherwise$

### Component: total_NM_autoregulation

$ARM1=AR1⁢AR2⁢AR3$

### Component: global_NM_blood_flow_autoregulation_output

$ARM=ARM1-1⁢AUTOSN+1$

### Component: NM_O2_blood_supply

$O2ARTN=OVA⁢BFN$

### Component: NM_venous_O2_content

$OSV=O2ARTN-DOBHM⁢5.25⁢BFNPOV=OSV⁢57.14$

### Component: O2_consumption_by_NM_tissue

$P1O=35ifPOT>35POTotherwiseMO2=AOM⁢O2M⁢1-35.0001-P1O342875$

### Component: delivery_of_O2_to_NM_tissues

$DOB=POV-POT⁢12.857⁢BFN$

### Component: volume_of_O2_in_NM_tissue

$DO2N1=DOB-MO2DO2N=DO2N1⁢0.1ifQO2<6∧DO2N1<0DO2N1otherwiseddtimeQO2T=DO2NQO2=0ifQO2T<0QO2Totherwise$

### Component: pressure_of_O2_in_NM_tissue_cells

$POT=QO2⁢0.48611$

### Component: pulmonary_capillary_pressure

$PCP=PPA-PLA⁢RPVRPV+RPA+PLA$

### Component: fluid_filtration_into_pulmonary_interstitium

$PFI=PCP-PPI+POS-PPC⁢CPF$

### Component: pulmonary_interstitial_free_fluid_volume

$DFZ=PFI-PLFDFP=DFZddtimeVPF1=DFPVPF=0.001ifVPF1<0.001VPF1otherwise$

### Component: pulmonary_interstitial_fluid_pressure

$PPI=2-0.15VPF$

### Component: concentration_of_protein_in_pulmonary_interstitium

$PPZ=PPN-PPOPPD=PPZddtimePPR1=PPDPPR=0.025ifPPR1<0.025PPR1otherwiseCPN=PPRVPF$

### Component: colloid_osmotic_pressure_of_pulmonary_interstitium

$POS=CPN⁢0.4$

### Component: protein_leakage_into_pulmonary_interstitium

$PPN=CPP-CPN⁢0.000225$

### Component: lung_lymphatic_protein_flow

$PLF=PPI+11⁢0.0003PPO=PLF⁢CPN$

### Component: total_O2_utilization

$O2UTIL=DOB+RMO$

### Component: alveolar_ventilation

$ALVENT=O2UTIL⁢VNTSTM⁢0.026667⁢O2VTS2⁢O2VAD2$

### Component: alveolar_PO2

$PO2ALV=PO2AMB-O2UTILALVENT0.761$

### Component: respiratory_O2_diffusion_into_capillaries

$RSPDFC=PL2VPTISS+VPFO2DFS=PO2ALV-PO2ART⁢RSPDFC$

### Component: O2_volume_of_arterial_blood

$DOVA=O2DFS-O2UTILQRO⁢1.0ddtimeOVA=DOVA$

### Component: arterial_PO2

$OSA=OVAHM5.25PO2ART=114+OSA-1⁢6667ifOSA>174+OSA-0.936⁢625ifOSA>0.936∧OSA≦146+OSA-0.8⁢205.882ifOSA>0.8∧OSA≦0.936OSA⁢57.5otherwise$

$O2VTST1=PO2ART-6730O2VTST=1ifO2VTST1>10.6ifO2VTST1<0.6O2VTST1otherwiseO2VTS2=1O2VTST$

$DO2VAD=O2VTS2-1⁢3-O2VAD1⁢0.0005ddtimeO2VAD1=DO2VADO2VAD2=O2VAD1+1$

### Component: hematocrit_fraction

$VB=VP+VRCHM1=VRCVBHM=100⁢HM1$

### Component: viscosity_due_to_RBCs

$VIE=HMHMK-HM⁢HKM$

### Component: blood_viscosity

$VIB=VIE+1.5VIM=0.3333⁢VIB$

### Component: oxygen_stimulation

$PO2AM1=80ifPO2AMB>80PO2AMBotherwiseHM3=PO2AM1-40⁢HMHM4=PO2AMB-40HM5=0ifHM3+HM4<0HM3+HM4otherwiseHM7=HM6-HM5$

### Component: RBC_production

$RC1=0ifHM7⁢HM8⁢REK+0.000005<0HM7⁢HM8⁢REK+0.000005otherwise$

### Component: RBC_destruction

$RC2=VRC⁢RKC⁢VIM$

### Component: RBC_volume

$RCD=RC1-RC2+TRRBCddtimeVRC=RCD$

### Component: short_term_stress_relaxation

$ddtimeVV7=VVE-0.74⁢SR-VV7SRK$

### Component: long_term_stress_relaxation

$ddtimeVV6=VVE-0.74⁢SR2-VV6SRK2$

### Component: effect_of_salt_appetite_stimulation_on_thirst

$ANMSML=ANM-1⁢ANMSLT+1STH1=Z10-POT2⁢Z11⁢ANMSMLSTH=0.8ifSTH1<0.88ifSTH1>8STH1otherwise$

### Component: effect_of_antidiuretic_hormone_on_thirst

$AHCM=ADHC-1⁢AHTHM+1$

### Component: effect_of_angiotensin_on_thirst

$ANMTH=ANM-1⁢ANMTM⁢0.001$

### Component: rate_of_fluid_intake

$AHTH1=AHCM⁢STH⁢0.001AHTH=0ifAHTH1<0AHTH1otherwiseTVZ1=ANMTH+AHTH⁢1TVZ=0ifTVZ1<0TVZ1otherwiseddtimeTVD=TVZ+DR-TVDTVDDL$

### Component: effect_of_pressure_on_volume_receptors

$AHZ1=|PRA|AH10⁢AH9AHZ=-AHZ1ifPRA<0AHZ1otherwise$

$ddtimeAHY=AHZ-AHYAH11$

### Component: total_volume_nervous_feedback

$AH7=AHZ-AHY$

### Component: volume_effect_on_arteries

$ATRRFB=AH7⁢ATRFBM+1$

### Component: volume_effect_on_unstressed_venous_volume

$ATRVFB=AH7⁢ATRVM$

### Component: perfusion_pressure

$ddtimePAR1=100+PA-100⁢RCDFPC-PAR1RCDFDPPAR=RAPRSPifRAPRSP>0∧RFCDFT≦0PAR1ifRFCDFT>0PA-GBLotherwise$

### Component: renal_autoregulatory_feedback_factor

$RNAUG1T=MDFLW-1⁢RNAUGN+1RNAUG1=RNAULLifRNAUG1TRNAUULRNAUG1TotherwiseRNAUG2=RNAUG1-RNAUG3ddtimeRNAUG3=RNAUG2-1⁢RNAUAD$

### Component: autonomic_effect_on_AAR

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

### Component: angiotensin_effect_on_AAR

$ANMAR1=ANM-1⁢ANMAM+1ANMAR=ANMARLifANMAR1

### Component: AAR_calculation

$AAR1=AARK⁢PAMKRN⁢AUMK⁢RNAUG2⁢ANMAR⁢40⁢MYOGRS$

### Component: atrial_natriuretic_peptide_effect_on_AAR

$AART=AAR1-ANPX⁢ANPXAF+ANPXAFAAR=AARLLifAART

### Component: autonomic_effect_on_EAR

$AUMK2=AUMK-1⁢AUMK1+1$

### Component: angiotensin_effect_on_EAR

$ANMER=ANM-1⁢ANMEM+1$

### Component: effect_of_renal_autoregulatory_feedback_on_EAR

$RNAUG4=RNAUG2-1⁢EFAFR+1$

### Component: EAR_calculation

$EAR1=43.333⁢EARK⁢ANMER⁢RNAUG4⁢MYOGRS⁢AUMK2EAR=EARLLifEAR1

### Component: total_renal_resistance

$RR=AAR+EAR$

### Component: normal_renal_blood_flow

$RFN=PARRR$

### Component: actual_renal_blood_flow

$RBF=REK⁢RFN$

### Component: glomerular_colloid_osmotic_pressure

$EFAFPR1=RFN⁢1-HM1RFN⁢1-HM1-GFNEFAFPR=1ifEFAFPR1<1EFAFPR1otherwiseGLPC=EFAFPR1.35⁢PPC⁢0.98ifGLPCA>0PPC+4otherwise$

### Component: glomerular_pressure

$APD=AAR⁢RFNGLP=PAR-APD$

### Component: glomerular_filtration_rate

$PFL=GLP-GLPC-PXTPGFN1=PFL⁢GFLCGFN=GFNLLifGFN1

### Component: proximal_tubular_and_macula_densa_flow

$PTFL=GFN⁢8MDFLWT=PTFL-1⁢MDFL1+1MDFLW=0ifMDFLWT<0MDFLWTotherwise$

### Component: renal_tissue_osmotic_pressure

$RTSPPC1=GLPC⁢RTPPR-RTPPRSRTSPPC=1ifRTSPPC1<1RTSPPC1otherwise$

### Component: glomerular_urea_concentration

$ddtimePLUR=URFORM-UROD$

### Component: plasma_urea_concentration

$PLURC=PLURVTW$

### Component: peritubular_capillary_pressure

$RCPRS=RFN-1.2⁢RFABX+1.2⁢RVRS$

### Component: peritubular_capillary_reabsorption_factor

$RABSPR=GLPC+RTSPRS-RCPRS-RTSPPCRFAB1=RABSPR⁢RABSCRFAB=RFAB1RFABD1=RFAB-1⁢RFABDM+1RFABD=0.0001ifRFABD1<0.0001RFABD1otherwise$

### Component: distal_tubular_Na_delivery

$DTNAI=MDFLW⁢CNA⁢0.0061619$

### Component: Na_reabsorption_into_distal_tubules

$DTNARA1=AMNA⁢RFABD⁢DTNARDIURET⁢ADHMK-1⁢AHMNAR+1DTNARA=DTNARLifDTNARA1

### Component: angiotensin_induced_Na_reabsorption_into_distal_tubules

$DTNANG1=ANM-1⁢ANMNAM+1⁢0.1DTNANG=0ifDTNANG1<0DTNANG1otherwise$

### Component: distal_tubular_K_delivery

$DTKI=DTNAI⁢CKECNA$

### Component: effect_of_physical_forces_on_distal_K_reabsorption

$RFABK=RFABD-1⁢RFABKM$

### Component: effect_of_fluid_flow_on_distal_K_reabsorption

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

### Component: K_reabsorption_into_distal_tubules

$ddtimeDTKA=KODNVUDN⁢0.0004518-DTKA⁢1.0$

### Component: K_secretion_from_distal_tubules

$ANMKE1=ANM-1⁢ANMKEM+1ANMKE=ANMKELifANMKE1

### Component: normal_Na_excretion

$NODN1=DTNAI-DTNARA-DTNANGNODN=0.00000001ifNODN1<0.00000001NODN1otherwise$

### Component: normal_K_excretion

$KODN1=DTKI+DTKSC-DTKA-RFABKKODN=0ifKODN1<0KODN1otherwise$

### Component: normal_urea_excretion

$DTURI=GFN2⁢PLURC⁢3.84$

### Component: normal_osmolar_and_water_excretion

$OSMOPN1=DTURI+2⁢NODN+KODNOSMOPN=0.6ifOSMOPN1>0.6OSMOPN1otherwise$

### Component: normal_urine_volume

$OSMOP1T=OSMOPN1-0.6OSMOP1=0ifOSMOP1T<0OSMOP1TotherwiseVUDN=OSMOPN600⁢ADHMK+OSMOP1360$

### Component: actual_Na_excretion_rate

$NOD=NODN⁢REK$

### Component: actual_K_excretion_rate

$KOD=KODN⁢REK$

### Component: actual_urea_excretion_rate

$UROD=DTURI⁢REK$

### Component: actual_urine_volume

$VUD=VUDN⁢REK$

### Component: kidney_parameter_values

Source
Derived from workspace Guyton, Full cardiovascular circulation model at changeset 289ac0cbccb2.
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