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Table 4 Cardio vascular system model (Ursino model) parameters

From: Mathematical modeling of septic shock based on clinical data

Parameter Value Description Source
C sa 4ml/mmHg Compliance of sa [16]
C sv 111.11ml/mmHg Compliance of sv [16]
C ra 31.25ml/mmHg Compliance of ra [16]
C pa 6.56ml/mmHg Compliance of pa [16]
C pv 25.37ml/mmHg Compliance of pv [16]
C la 19.23ml/mmmHg Compliance of la [16]
R s2 0.2247mmHg∙ s/ml Hydraulic resistance of the systemic circulation upstream of arteriolar capillaries [16]
R s3 0.1124mmHg∙ s/ml Hydraulic resistance of the systemic circulation downstream of arteriolar capillaries [16]
R sv 0.011mmHg∙ s/ml Hydraulic resistance of sv [16]
R pa 0.1124mmHg∙ s/ml Hydraulic resistance of pa [16]
R pv 0.0056mmHg∙ s/ml Hydraulic resistance of pv [16]
L a 0.01ml/mmHg/s Permeability coefficient of arterial capillaries [16]
L v 0.062ml/mmHg/s Permeability coefficient of venular capillaries [16]
V usa 611.3ml Unstressed volume of sa [16]
V ura 25ml Unstressed volume of ra [16]
V upa 124ml Unstressed volume of pa [16]
V upv 120ml Unstressed volume of pv [16]
V ula 25ml Unstressed volume of la [16]
k l 20ml/mmHg Slope of the stroke volume versus the atrial pressure relationship for the left heart [16]
k r 34.028ml/mmHg Slope of the stroke volume versus the atrial pressure relationship for the right heart [16]
p la0 2.8mmHg x -axis intercept of the stroke volume versus atrial pressure relationship for the left heart [16]
p ra0 1.82mmHg x -axis intercept of the stroke volume versus atrial pressure relationship for the right heart [16]
V n 5300ml Total blood volume in the basal condition [16]
V rc 1300ml Red blood cell volume [16]
p san 100mmHg Intravascular pressure in the sa in the basal condition [16]
p svn 5mmHg Intravascular pressure in the sv in the basal condition [16]
p ran 4mmHg Intravascular pressure in the ra in the basal condition [16]
p pan 17mmHg Intravascular pressure in the pa in the basal condition [16]
p pvn 7mmHg Intravascular pressure in the pv in the basal condition [16]
p lan 6.5mmHg Intravascular pressure in the la in the basal condition [16]
k Na 25ml/s Mass transfer coefficient of the cellular membrane for sodium [16]
β Na 0.0704 Mass transfer coefficient of the cellular membrane for sodium [16]
k K 6.67 ∙ 10−2ml/s Mass transfer coefficient of the cellular membrane for potassium [16]
β K 28.2 Mass transfer coefficient of the cellular membrane for potassium [16]
k U 13ml/s Mass transfer coefficient of the cellular membrane for urea [16]
β U 1 Mass transfer coefficient of the cellular membrane for urea [16]
k f 4 ∙ 10−3L2/s/mmol Water exchange coefficient of the cellular membrane [16]
M eq,ic 150mmol Amount of other osmotically efficient solutes in the intracellular compartment [16]
M eq,ex 150mmol Amount of other osmotically efficient solutes in the extracellular compartment [16]
E is 24.5mmHg/L Interstitial space elastance [16]
V isn 11L Basal volume of the interstitial fluid [16]
V icn 25L Basal volume of the intracellular fluid [16]
c p,pin 7.4g/dl Basal protein concentration in the plasma [16]
c p,isn 1.37g/dl Basal protein concentration in the interstitial fluid [16]
Mk,ic(0) 3535mEq Initial amount of potassium in the intracellular fluid [16]
Mk,ex(0) 75mEq Initial amount of potassium in the extracellular fluid [16]
MNa,ic(0) 250mEq Initial amount of sodium in the intracellular fluid [16]
MNa,ex(0) 2130mEq Initial amount of sodium in the intracellular fluid [16]
MU,ic(0) 2130mEq Initial amount of urea in the intracellular fluid [16]
MU,ex(0) 375mmol Initial amount of urea in the extracellular fluid [16]
Q F 0.2083ml/s Ultrafiltration rate of the replacement fluid [16]
Q inf 0ml/s Ultrafiltration rate of the replacement fluid [16]
c Na,d 142mEq/L Ultrafiltration rate of the replacement fluid [16]
c Kd 62mEq/L Ultrafiltration rate of the replacement fluid [16]
c Ud 0 Concentration of urea in the dialysate [16]
F p 0.94 Plasma fractions [16]
F R 0.72 Red blood cell water fractions [16]
γ U 1 Fraction of red blood cell water that participates in the transfer through the dialyzer [16]
R DU 1 Donnan ratio for urea in red cells [16]
γ Na 0 Fraction of red blood cell water that participates in the transfer through the dialyzer [16]
γ K 0 Fraction of red blood cell water that participates in the transfer through the dialyzer [16]
Q B 3ml/s Bulk blood flow through the dialyzer [16]
D Na 2.67ml/s Dialysance (or clearance) of sodium [16]
D K 2.67ml/s Dialysance (or clearance) of potassium [16]
D U 2.67ml/s Dialysance (or clearance) of urea [16]
σ Rn 0.7303mmHg∙ s/ml Basal value of the sigmodideal static characteristic for the mechanism of systemic resistance control [16]
ΔσR 1.4mmHg∙ s/ml Amplitude of the sigmodideal static characteristic for the mechanism of systemic resistance control [16]
τ R 6s Time constant of the mechanism of systemic resistance control [16]
G aR 0.02/mmHg Central gain of the arterial controls for the mechanism of systemic resistance control [16]
G cR 0.7/mmHg Central gain of the cardiopulmonary controls for the mechanism of systemic resistance control [16]
σ V n 2900ml Basal value of the sigmodideal static characteristic for the mechanism of venous unstressed volume control [16]
ΔσV 500ml Amplitude of the sigmodideal static characteristic for the mechanism of venous unstressed volume control [16]
τ V 20s Time constant of the mechanism of venous unstressed volume control [16]
G aV 10.8/mmHg Central gain of the arterial controls for the mechanism of venous unstressed volume control [16]
G cV 417/mmHg Central gain of the cardiopulmonary controls for the mechanism of venous unstressed volume control [16]
σ Tn 0.833s Basal value of the sigmodideal static characteristic for the mechanism of heart period control [16]
ΔσT 0.75s Amplitude of the sigmodideal static characteristic for the mechanism of heart period control [16]
τ T 2s Time constant of the mechanism of heart period control [16]
G aT 0.015/mmHg Central gain of the arterial controls for the mechanism of heart period control [16]
G cT 0/mmHg Central gain of the cardiopulmonary controls for the mechanism of heart period control [16]
p lat 4.5mmHg Threshold value of left atrial pressure for activation of the sympathoinhibitory mechanism [16]
G σ 4.5mmHg Gain constant of the sympathoinhibitory mechanism [16]
τ σ 120s Time constant of the sympathoinhibitory mechanism [16]
τ ϵ 2700s(acetate dialysis only) Time constant of the acetate effect upon peripheral vessels [16]