Mathematical model
> Notations
Notations
Compartments:
HL
Left ventricle
HR
Right ventricle
AL
Systemic arteries
VL
Systemic veins
AR
Pulmonary arteries
VR
Pulmonary veins
W
Total blood volume
Tissue metabolism:
He
Content of hemoglobin in the blood
SpO
2
Saturation of arterial blood
C
H
Oxygen capacity of hemoglobin
RO
2
Oxygen demand
AO
2
Arterial oxygen concentration
VO
2
Venous oxygen concentration
AO
2
-
VO
2
Arteriovenous oxygen difference
DO
2
Oxygen debt
gO
2
Tissue oxygen delivery
A
1
Total metabolism intensity
A
2
Organism functional status
Arterias:
P
AL
Arterial systemic pressure
P
AR
Arterial pulmonary pressure
V
AL
Arterial systemic blood volume
V
AR
Arterial pulmonary blood volume
G
AL0
Arterial systemic base elasticity
A
9
Arterial systemic tone
ω
AL0
Arterial systemic stressless volume
A
8
Arterial systemic sympathetic sensitivity
Y
HLAL
Arterial systemic conductivity
G
AR0
Arterial pulmonary base elasticity
A
19
Arterial pulmonary tone
ω
AR0
Arterial pulmonary stressless volume
A
18
Arterial pulmonary sympathetic sensitivity
Y
HRAR
Arterial pulmonary conductivity
Veins:
P
VL
Venous systemic pressure
P
VR
Venous pulmonary pressure
V
VL
Venous systemic blood volume
V
VR
Venous pulmonary blood volume
Y
VLHR0
Venous systemic base conductivity
G
VL0
Venous systemic base elasticity
ω
VL
Venous systemic stressless volume
A
11
Venous systemic tone
G
VR0
Venous pulmonary base elasticity
A
12
Venous pulmonary tone
ω
VR
Venous pulmonary stressless volume
Y
VRHL0
Venous pulmonary base conductivity
Capillaries:
Q
Capillary systemic blood flow
q
Capillary pulmonary blood flow
Y
ALVL0
Capillary systemic base conductivity
A
3
Capillary systemic sympathetic sensitivity
A
4
Capillary systemic sensitivity to oxygen debt
Y
ARVR0
Capillary pulmonary base conductivity
A
13
Capillary pulmonary sympathetic sensitivity
A
14
Capillary pulmonary sensitivity to oxygen debt
Neurohumoral control:
γ
Neurohumoral factor
nS
Function of cardiac center activity
nA
Baroreceptor feedback loop characteristic
nD
Weariness receptor feedback loop characteristic
nA
Stress receptor feedback loop characteristic
nV
Respiratory receptor feedback loop characteristic
ñ
0
Base activity of cardiac center
ñ
1
Baroreceptor sensitivity of cardiac center
ñ
2
Respiratory sensitivity of cardiac center
ñ
3
Weariness sensitivity of cardiac center
ñ
4
Stress sensitivity of cardiac center
A
12
Reactivity of cardiac center
P
0
Baroreceptor sensitivity threshold
S
Stress
Heart model:
P
HL
Left ventricular pressure
P
HR
Right ventricular pressure
k
L
Left ventricular inotropic factor
k
L0
Left ventricular inotropic status
k
R
Right ventricular inotropic factor
k
R0
Right ventricular inotropic status
u
0
Action threshold of Frank-Starling's law
G
HL
Left ventricular wall elasticity
G
HR
Right ventricular wall elasticity
ω
HL
Left ventricular stressless volume
ω
HR
Right ventricular stressless volume
p
HL0
Residual left ventricular pressure
p
HR0
Residual right ventricular pressure
r
HLAL
Regurgitation factor in the aortic valve
r
VRHL
Regurgitation factor in the mitral valve
r
HRAR
Regurgitation factor in the pulmonary valve
r
VLHR
Regurgitation factor in the tricupsid valve
Body parametres:
m
Body mass
Mathematical model
> Notations
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