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Cardiovascular Circulation DVad
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Lumped-parameter model of the systemic circulation with displacement pump VAD support
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Model Mathematics
Component based math viewer is available
Component: environment
Component: LeftHeart
Component: TempCDv
Tao
=
1
if
Pi
≥
Po
0
if
Pi
<
Po
Qo
=
CV
Tao
|
Pi
-
Po
|
0.5
if
Pi
≥
Po
-1
CV
Tao
|
Po
-
Pi
|
0.5
if
Pi
<
Po
d
d
t
V
=
Qi
-
Qo
Pi
=
Pini
+
E
V
-
Vini
Component: TempCDa
Tao
=
1
if
Pi
≥
Po
0
if
Pi
<
Po
Qo
=
CV
Tao
|
Pi
-
Po
|
0.5
if
Pi
≥
Po
-1
CV
Tao
|
Po
-
Pi
|
0.5
if
Pi
<
Po
d
d
t
V
=
Qi
-
Qo
Pi
=
Pini
+
E
V
-
Vini
Component: TJoint
Pi
=
Po
Qo
=
Qi1
+
Qi2
Component: EAtrium
mt
=
t
-
T
⌊
t
T
⌋
et
=
1
-
cos
2
3.14159
mt
-
Tpwb
-
1
T
Tpww
T
if
mt
≥
0
∧
mt
≦
Tpwb
+
Tpww
-
1
T
0
if
mt
>
Tpwb
+
Tpww
-
1
T
∧
mt
≦
Tpwb
T
1
-
cos
2
3.14159
mt
-
Tpwb
T
Tpww
T
if
mt
>
Tpwb
T
∧
mt
≦
T
E
=
Emin
+
et
Emax
-
Emin
2
Component: EVentricle
mt
=
t
-
T
⌊
t
T
⌋
et
=
1
-
cos
3.14159
mt
Ts1
T
if
mt
≥
0
∧
mt
≦
Ts1
T
1
+
cos
3.14159
mt
-
Ts1
T
Ts2
-
Ts1
T
if
mt
>
Ts1
T
∧
mt
≦
Ts2
T
0
if
mt
>
Ts2
T
∧
mt
<
T
E
=
Emin
+
et
Emax
-
Emin
2
Component: ParaHeartP
Component: ModelSysT
Component: TempRLC
d
d
t
Pi
=
Qi
-
Qo
C
d
d
t
Qo
=
Pi
-
Po
-
R
Qo
L
Component: TJoint
Pi
=
Po
Qo
=
Qi1
+
Qi2
Component: TempRLC
d
d
t
Pi
=
Qi
-
Qo
C
d
d
t
Qo
=
Pi
-
Po
-
R
Qo
L
Component: TempR
Pi
=
Po
+
R
Qi
Qo
=
Qi
Component: TempR
Pi
=
Po
+
R
Qi
Qo
=
Qi
Component: TempRC
d
d
t
Pi
=
Qi
-
Qo
C
Qo
=
Pi
-
Po
R
Component: ParaSys
Component: ModelDPump
Component: TempDPump
mt
=
t
-
T
⌊
t
T
⌋
Qvi
=
0.5
Qai
1
-
cos
2
3.14159
mt
Ts2
T
if
mt
≥
0
∧
mt
≦
Ts2
T
0
if
mt
>
Ts2
T
∧
mt
<
T
Qvo
=
0
if
mt
≥
0
∧
mt
≦
Ts2
T
0.5
Qao
1
-
cos
2
3.14159
mt
-
Ts2
T
T
-
Ts2
T
if
mt
>
Ts2
T
∧
mt
<
T
Component: ParaDPump
Component: ParaHeartP
Source
Derived from workspace
Cardiovascular Circulation DVad
at changeset
12c7f0f8af56
.
This exposure was expired
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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Lumped-parameter model of the systemic circulation with displacement pump VAD support