Model Mathematics

Component: environment

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: parameter_values