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BloodVolumeControl.cellml
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Model Mathematics
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Component: main
d
d
t
q_gi_W
=
v_in_W
-
RT
k_gi_W
q_vc_Na
q_vc_W
-
q_gi_Na
q_gi_W
-
v_out1_W
d
d
t
q_pt_W
=
k_gl_W
E_ac
q_ac_W
-
U_ac_W
L_ac_W
-
q_ac_W
2
-
E_pt
q_pt_W
-
U_pt_W
L_pt_W
-
q_pt_W
2
-
RT
k_pt_W
q_vc_Na
q_vc_W
-
q_pt_Na
q_pt_W
-
v_out2_W
d
d
t
q_vc_W
=
k_cc_W
E_ac
q_ac_W
-
U_ac_W
L_ac_W
-
q_ac_W
2
-
E_vc
q_vc_W
-
U_vc_W
L_vc_W
-
q_vc_W
2
+
RT
k_gi_W
q_vc_Na
q_vc_W
-
q_gi_Na
q_gi_W
+
RT
k_pt_W
q_vc_Na
q_vc_W
-
q_pt_Na
q_pt_W
-
v_lv_W
d
d
t
q_ac_W
=
v_lv_W
+
k_cc_W
E_vc
q_vc_W
-
U_vc_W
L_vc_W
-
q_vc_W
2
-
k_gl_W
+
k_cc_W
E_ac
q_ac_W
-
U_ac_W
L_ac_W
-
q_ac_W
2
+
k_gl_W
E_pt
q_pt_W
-
U_pt_W
L_pt_W
-
q_pt_W
2
d
d
t
q_gi_Na
=
v_in_Na
-
kK_gi_Na
q_gi_Na
-
q_giEpi_Na
-
v_out1_Na
d
d
t
q_giEpi_Na
=
kK_gi_Na
q_gi_Na
-
q_giEpi_Na
-
3
k_giEpi_NKE
K_Na
q_giEpi_Na
q_giEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_giEpi_K
q_giEpi_W
2
ⅇ
2
F
u_giEpi_e
RT
1
+
K_Na
q_giEpi_Na
q_giEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_giEpi_K
q_giEpi_W
2
d
d
t
q_pt_Na
=
kK_gl_Na
q_vc_Na
-
q_pt_Na
-
kK_pt_Na
q_pt_Na
-
q_ptEpi_Na
-
v_out2_Na
d
d
t
q_ptEpi_Na
=
kK_pt_Na
q_pt_Na
-
q_ptEpi_Na
-
3
k_ptEpi_NKE
K_Na
q_ptEpi_Na
q_ptEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_ptEpi_K
q_ptEpi_W
2
ⅇ
2
F
u_ptEpi_e
RT
1
+
K_Na
q_ptEpi_Na
q_ptEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_ptEpi_K
q_ptEpi_W
2
d
d
t
q_vc_Na
=
3
k_giEpi_NKE
K_Na
q_giEpi_Na
q_giEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_giEpi_K
q_giEpi_W
2
ⅇ
2
F
u_giEpi_e
RT
1
+
K_Na
q_giEpi_Na
q_giEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_giEpi_K
q_giEpi_W
2
+
3
k_ptEpi_NKE
K_Na
q_ptEpi_Na
q_ptEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_ptEpi_K
q_ptEpi_W
2
ⅇ
2
F
u_ptEpi_e
RT
1
+
K_Na
q_ptEpi_Na
q_ptEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_ptEpi_K
q_ptEpi_W
2
-
kK_gl_Na
q_vc_Na
-
q_pt_Na
u_vc_W
=
E_vc
q_vc_W
-
U_vc_W
L_vc_W
-
q_vc_W
2
u_ac_W
=
E_ac
q_ac_W
-
U_ac_W
L_ac_W
-
q_ac_W
2
u_pt_W
=
E_pt
q_pt_W
-
U_pt_W
L_pt_W
-
q_pt_W
2
c_vc_Na
=
q_vc_Na
q_vc_W
c_gi_Na
=
q_gi_Na
q_gi_W
c_pt_Na
=
q_pt_Na
q_pt_W
c_giEpi_Na
=
q_giEpi_Na
q_giEpi_W
c_ptEpi_Na
=
q_ptEpi_Na
q_ptEpi_W
C_vc_Na
=
1
e
3
c_vc_Na
C_gi_Na
=
1
e
3
c_gi_Na
C_pt_Na
=
1
e
3
c_pt_Na
C_giEpi_Na
=
1
e
3
c_giEpi_Na
C_ptEpi_Na
=
1
e
3
c_ptEpi_Na
u_gi_osmotic
=
RT
c_gi_Na
u_vc_osmotic
=
RT
c_vc_Na
u_pt_osmotic
=
RT
c_pt_Na
v_gi_W
=
k_gi_W
u_vc_osmotic
-
u_gi_osmotic
v_pt_W
=
k_pt_W
u_vc_osmotic
-
u_pt_osmotic
v_gl_W
=
k_gl_W
u_ac_W
-
u_pt_W
v_cc_W
=
k_cc_W
u_ac_W
-
u_vc_W
v_gl_Na
=
kK_gl_Na
q_vc_Na
-
q_pt_Na
v_gi_Na
=
kK_gi_Na
q_gi_Na
-
q_giEpi_Na
v_pt_Na
=
kK_pt_Na
q_pt_Na
-
q_ptEpi_Na
v_giEpi_NKE
=
3
k_giEpi_NKE
K_Na
q_giEpi_Na
q_giEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_giEpi_K
q_giEpi_W
2
ⅇ
2
F
u_giEpi_e
RT
1
+
K_Na
q_giEpi_Na
q_giEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_giEpi_K
q_giEpi_W
2
v_ptEpi_NKE
=
3
k_ptEpi_NKE
K_Na
q_ptEpi_Na
q_ptEpi_W
3
K_K
q_vc_K
q_vc_W
2
-
K_Na
q_vc_Na
q_vc_W
3
K_K
q_ptEpi_K
q_ptEpi_W
2
ⅇ
2
F
u_ptEpi_e
RT
1
+
K_Na
q_ptEpi_Na
q_ptEpi_W
3
1
+
K_Na
q_vc_Na
q_vc_W
3
1
+
K_K
q_vc_K
q_vc_W
2
1
+
K_K
q_ptEpi_K
q_ptEpi_W
2
q_tot_W
=
q_ac_W
+
q_vc_W
+
q_gi_W
+
q_pt_W
+
q_giEpi_W
+
q_ptEpi_W
q_tot_Na
=
q_vc_Na
+
q_gi_Na
+
q_pt_Na
+
q_giEpi_Na
+
q_ptEpi_Na
Source
Derived from workspace
Blood volume control model
at changeset
618d20c870b3
.
This exposure was expired
.
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BloodVolumeControl.cellml