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Metabolite-sensitive cross-bridge models of human atria reveal the impact of diabetes on muscle mechanoenergetics
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CellML
/
musgrave_2025_diabetic.cellml
Info
Model Mathematics
Component based math viewer is available
Component: environment
Component: force_generation
K
=
K_myo
rho_myo
Fa
=
K
B
xB
+
C
xC
d
d
time
Fp1
=
Kp1
dL
-
Fp1
mu
Fp2
=
Kp2
ⅇ
phi_p
L
-
Lr
-
1
Ft
=
Fa
+
Fp1
+
Fp2
Component: crossbridge_cycling_rates
k1
=
k1_i
ⅇ
-
phi_s1
xB
k_1
=
k_1_i
Pi
k_2
=
k_2_i
k_dATP
k_dATP
+
ATP
k3
=
k3_i
ATP
k_dATP
+
ATP
ⅇ
phi_s3
xC
-
xC0
G_ATP
=
G_ATP0
+
R
T
ln
ADP
Pi
ATP
k_3
=
k1
k2
k3
k_1
k_2
ⅇ
-
G_ATP
R
T
Component: thin_filament_regulation
d
d
time
CaTn
=
k_tn
Ca
Ca50
n_tn
1
-
CaTn
-
CaTn
d
d
time
N
=
k_0
A
CaTn
-
n_Tm
2
-
k0
N
CaTn
n_Tm
2
Component: crossbridge_strain_and_states
Z
=
1
+
phi_l
L
L_max
-
1
if
L
<
L_max
1
otherwise
A
=
Z
-
N
-
B
-
C
d
d
time
B
=
k1
A
-
k_1
+
k2
B
+
k_2
C
d
d
time
C
=
k2
B
-
k_2
+
k3
C
+
k_3
A
d
d
time
xB
=
-
A
k1
+
C
k_2
B
xB
+
phi_v
dL
d
d
time
xC
=
-
B
k2
+
A
k_3
C
xC
-
xC0
+
phi_v
dL
Component: length_control
d
d
time
IntF
=
dIntF
d
d
time
L
=
dL
Component: model_parameters
Component: environment
Component: Ca_data
t_twitch
=
time
-
⌊
time
⌋
Ca
=
0.2636
if
t_twitch
<
0.0005
0.2643
if
t_twitch
<
0.0015
0.2651
if
t_twitch
<
0.0025
0.2659
if
t_twitch
<
0.0035
0.2669
if
t_twitch
<
0.0045
0.2679
if
t_twitch
<
0.0055
0.2692
if
t_twitch
<
0.0065
0.2704
if
t_twitch
<
0.0075
0.2718
if
t_twitch
<
0.0085
0.2734
if
t_twitch
<
0.0095
0.2751
if
t_twitch
<
0.0105
0.2772
if
t_twitch
<
0.0115
0.2792
if
t_twitch
<
0.0125
0.2815
if
t_twitch
<
0.0135
0.2840
if
t_twitch
<
0.0145
0.2865
if
t_twitch
<
0.0155
0.2894
if
t_twitch
<
0.0165
0.2923
if
t_twitch
<
0.0175
0.2955
if
t_twitch
<
0.0185
0.2990
if
t_twitch
<
0.0195
0.3024
if
t_twitch
<
0.0205
0.3064
if
t_twitch
<
0.0215
0.3104
if
t_twitch
<
0.0225
0.3145
if
t_twitch
<
0.0235
0.3189
if
t_twitch
<
0.0245
0.3232
if
t_twitch
<
0.0255
0.3279
if
t_twitch
<
0.0265
0.3326
if
t_twitch
<
0.0275
0.3375
if
t_twitch
<
0.0285
0.3427
if
t_twitch
<
0.0295
0.3478
if
t_twitch
<
0.0305
0.3531
if
t_twitch
<
0.0315
0.3584
if
t_twitch
<
0.0325
0.3638
if
t_twitch
<
0.0335
0.3692
if
t_twitch
<
0.0345
0.3747
if
t_twitch
<
0.0355
0.3802
if
t_twitch
<
0.0365
0.3857
if
t_twitch
<
0.0375
0.3912
if
t_twitch
<
0.0385
0.3966
if
t_twitch
<
0.0395
0.4021
if
t_twitch
<
0.0405
0.4074
if
t_twitch
<
0.0415
0.4127
if
t_twitch
<
0.0425
0.4179
if
t_twitch
<
0.0435
0.4230
if
t_twitch
<
0.0445
0.4281
if
t_twitch
<
0.0455
0.4329
if
t_twitch
<
0.0465
0.4377
if
t_twitch
<
0.0475
0.4423
if
t_twitch
<
0.0485
0.4467
if
t_twitch
<
0.0495
0.4511
if
t_twitch
<
0.0505
0.4552
if
t_twitch
<
0.0515
0.4593
if
t_twitch
<
0.0525
0.4631
if
t_twitch
<
0.0535
0.4669
if
t_twitch
<
0.0545
0.4706
if
t_twitch
<
0.0555
0.4738
if
t_twitch
<
0.0565
0.4770
if
t_twitch
<
0.0575
0.4800
if
t_twitch
<
0.0585
0.4828
if
t_twitch
<
0.0595
0.4856
if
t_twitch
<
0.0605
0.4881
if
t_twitch
<
0.0615
0.4906
if
t_twitch
<
0.0625
0.4929
if
t_twitch
<
0.0635
0.4951
if
t_twitch
<
0.0645
0.4972
if
t_twitch
<
0.0655
0.4989
if
t_twitch
<
0.0665
0.5007
if
t_twitch
<
0.0675
0.5023
if
t_twitch
<
0.0685
0.5037
if
t_twitch
<
0.0695
0.5052
if
t_twitch
<
0.0705
0.5064
if
t_twitch
<
0.0715
0.5077
if
t_twitch
<
0.0725
0.5088
if
t_twitch
<
0.0735
0.5098
if
t_twitch
<
0.0745
0.5108
if
t_twitch
<
0.0755
0.5115
if
t_twitch
<
0.0765
0.5123
if
t_twitch
<
0.0775
0.5130
if
t_twitch
<
0.0785
0.5136
if
t_twitch
<
0.0795
0.5142
if
t_twitch
<
0.0805
0.5146
if
t_twitch
<
0.0815
0.5151
if
t_twitch
<
0.0825
0.5155
if
t_twitch
<
0.0835
0.5158
if
t_twitch
<
0.0845
0.5161
if
t_twitch
<
0.0855
0.5163
if
t_twitch
<
0.0865
0.5165
if
t_twitch
<
0.0875
0.5167
if
t_twitch
<
0.0885
0.5168
if
t_twitch
<
0.0895
0.5169
if
t_twitch
<
0.0905
0.5169
if
t_twitch
<
0.0915
0.5170
if
t_twitch
<
0.0925
0.5170
if
t_twitch
<
0.0935
0.5169
if
t_twitch
<
0.0945
0.5168
if
t_twitch
<
0.0955
0.5166
if
t_twitch
<
0.0965
0.5164
if
t_twitch
<
0.0975
0.5162
if
t_twitch
<
0.0985
0.5160
if
t_twitch
<
0.0995
0.5157
if
t_twitch
<
0.1005
0.5154
if
t_twitch
<
0.1015
0.5151
if
t_twitch
<
0.1025
0.5148
if
t_twitch
<
0.1035
0.5144
if
t_twitch
<
0.1045
0.5141
if
t_twitch
<
0.1055
0.5137
if
t_twitch
<
0.1065
0.5132
if
t_twitch
<
0.1075
0.5128
if
t_twitch
<
0.1085
0.5123
if
t_twitch
<
0.1095
0.5119
if
t_twitch
<
0.1105
0.5114
if
t_twitch
<
0.1115
0.5109
if
t_twitch
<
0.1125
0.5103
if
t_twitch
<
0.1135
0.5098
if
t_twitch
<
0.1145
0.5092
if
t_twitch
<
0.1155
0.5086
if
t_twitch
<
0.1165
0.5080
if
t_twitch
<
0.1175
0.5074
if
t_twitch
<
0.1185
0.5067
if
t_twitch
<
0.1195
0.5061
if
t_twitch
<
0.1205
0.5054
if
t_twitch
<
0.1215
0.5047
if
t_twitch
<
0.1225
0.5039
if
t_twitch
<
0.1235
0.5032
if
t_twitch
<
0.1245
0.5025
if
t_twitch
<
0.1255
0.5017
if
t_twitch
<
0.1265
0.5009
if
t_twitch
<
0.1275
0.5002
if
t_twitch
<
0.1285
0.4994
if
t_twitch
<
0.1295
0.4986
if
t_twitch
<
0.1305
0.4978
if
t_twitch
<
0.1315
0.4970
if
t_twitch
<
0.1325
0.4962
if
t_twitch
<
0.1335
0.4955
if
t_twitch
<
0.1345
0.4947
if
t_twitch
<
0.1355
0.4939
if
t_twitch
<
0.1365
0.4931
if
t_twitch
<
0.1375
0.4924
if
t_twitch
<
0.1385
0.4916
if
t_twitch
<
0.1395
0.4909
if
t_twitch
<
0.1405
0.4902
if
t_twitch
<
0.1415
0.4894
if
t_twitch
<
0.1425
0.4887
if
t_twitch
<
0.1435
0.4880
if
t_twitch
<
0.1445
0.4873
if
t_twitch
<
0.1455
0.4866
if
t_twitch
<
0.1465
0.4859
if
t_twitch
<
0.1475
0.4853
if
t_twitch
<
0.1485
0.4846
if
t_twitch
<
0.1495
0.4840
if
t_twitch
<
0.1505
0.4834
if
t_twitch
<
0.1515
0.4827
if
t_twitch
<
0.1525
0.4821
if
t_twitch
<
0.1535
0.4815
if
t_twitch
<
0.1545
0.4809
if
t_twitch
<
0.1555
0.4803
if
t_twitch
<
0.1565
0.4797
if
t_twitch
<
0.1575
0.4792
if
t_twitch
<
0.1585
0.4786
if
t_twitch
<
0.1595
0.4780
if
t_twitch
<
0.1605
0.4775
if
t_twitch
<
0.1615
0.4770
if
t_twitch
<
0.1625
0.4764
if
t_twitch
<
0.1635
0.4759
if
t_twitch
<
0.1645
0.4754
if
t_twitch
<
0.1655
0.4749
if
t_twitch
<
0.1665
0.4744
if
t_twitch
<
0.1675
0.4740
if
t_twitch
<
0.1685
0.4735
if
t_twitch
<
0.1695
0.4730
if
t_twitch
<
0.1705
0.4726
if
t_twitch
<
0.1715
0.4721
if
t_twitch
<
0.1725
0.4717
if
t_twitch
<
0.1735
0.4713
if
t_twitch
<
0.1745
0.4708
if
t_twitch
<
0.1755
0.4704
if
t_twitch
<
0.1765
0.4700
if
t_twitch
<
0.1775
0.4696
if
t_twitch
<
0.1785
0.4692
if
t_twitch
<
0.1795
0.4687
if
t_twitch
<
0.1805
0.4683
if
t_twitch
<
0.1815
0.4679
if
t_twitch
<
0.1825
0.4675
if
t_twitch
<
0.1835
0.4671
if
t_twitch
<
0.1845
0.4667
if
t_twitch
<
0.1855
0.4662
if
t_twitch
<
0.1865
0.4658
if
t_twitch
<
0.1875
0.4653
if
t_twitch
<
0.1885
0.4649
if
t_twitch
<
0.1895
0.4644
if
t_twitch
<
0.1905
0.4639
if
t_twitch
<
0.1915
0.4635
if
t_twitch
<
0.1925
0.4630
if
t_twitch
<
0.1935
0.4625
if
t_twitch
<
0.1945
0.4620
if
t_twitch
<
0.1955
0.4615
if
t_twitch
<
0.1965
0.4610
if
t_twitch
<
0.1975
0.4605
if
t_twitch
<
0.1985
0.4600
if
t_twitch
<
0.1995
0.4594
if
t_twitch
<
0.2005
0.4589
if
t_twitch
<
0.2015
0.4584
if
t_twitch
<
0.2025
0.4578
if
t_twitch
<
0.2035
0.4573
if
t_twitch
<
0.2045
0.4568
if
t_twitch
<
0.2055
0.4562
if
t_twitch
<
0.2065
0.4557
if
t_twitch
<
0.2075
0.4552
if
t_twitch
<
0.2085
0.4546
if
t_twitch
<
0.2095
0.4541
if
t_twitch
<
0.2105
0.4536
if
t_twitch
<
0.2115
0.4531
if
t_twitch
<
0.2125
0.4525
if
t_twitch
<
0.2135
0.4520
if
t_twitch
<
0.2145
0.4515
if
t_twitch
<
0.2155
0.4510
if
t_twitch
<
0.2165
0.4505
if
t_twitch
<
0.2175
0.4500
if
t_twitch
<
0.2185
0.4495
if
t_twitch
<
0.2195
0.4490
if
t_twitch
<
0.2205
0.4485
if
t_twitch
<
0.2215
0.4480
if
t_twitch
<
0.2225
0.4475
if
t_twitch
<
0.2235
0.4471
if
t_twitch
<
0.2245
0.4466
if
t_twitch
<
0.2255
0.4461
if
t_twitch
<
0.2265
0.4456
if
t_twitch
<
0.2275
0.4451
if
t_twitch
<
0.2285
0.4446
if
t_twitch
<
0.2295
0.4441
if
t_twitch
<
0.2305
0.4436
if
t_twitch
<
0.2315
0.4431
if
t_twitch
<
0.2325
0.4426
if
t_twitch
<
0.2335
0.4421
if
t_twitch
<
0.2345
0.4415
if
t_twitch
<
0.2355
0.4410
if
t_twitch
<
0.2365
0.4405
if
t_twitch
<
0.2375
0.4400
if
t_twitch
<
0.2385
0.4395
if
t_twitch
<
0.2395
0.4390
if
t_twitch
<
0.2405
0.4385
if
t_twitch
<
0.2415
0.4380
if
t_twitch
<
0.2425
0.4374
if
t_twitch
<
0.2435
0.4369
if
t_twitch
<
0.2445
0.4364
if
t_twitch
<
0.2455
0.4359
if
t_twitch
<
0.2465
0.4354
if
t_twitch
<
0.2475
0.4349
if
t_twitch
<
0.2485
0.4345
if
t_twitch
<
0.2495
0.4340
if
t_twitch
<
0.2505
0.4335
if
t_twitch
<
0.2515
0.4330
if
t_twitch
<
0.2525
0.4326
if
t_twitch
<
0.2535
0.4321
if
t_twitch
<
0.2545
0.4317
if
t_twitch
<
0.2555
0.4312
if
t_twitch
<
0.2565
0.4308
if
t_twitch
<
0.2575
0.4304
if
t_twitch
<
0.2585
0.4299
if
t_twitch
<
0.2595
0.4295
if
t_twitch
<
0.2605
0.4291
if
t_twitch
<
0.2615
0.4287
if
t_twitch
<
0.2625
0.4283
if
t_twitch
<
0.2635
0.4279
if
t_twitch
<
0.2645
0.4274
if
t_twitch
<
0.2655
0.4270
if
t_twitch
<
0.2665
0.4266
if
t_twitch
<
0.2675
0.4262
if
t_twitch
<
0.2685
0.4258
if
t_twitch
<
0.2695
0.4254
if
t_twitch
<
0.2705
0.4250
if
t_twitch
<
0.2715
0.4246
if
t_twitch
<
0.2725
0.4242
if
t_twitch
<
0.2735
0.4238
if
t_twitch
<
0.2745
0.4234
if
t_twitch
<
0.2755
0.4230
if
t_twitch
<
0.2765
0.4225
if
t_twitch
<
0.2775
0.4221
if
t_twitch
<
0.2785
0.4217
if
t_twitch
<
0.2795
0.4213
if
t_twitch
<
0.2805
0.4208
if
t_twitch
<
0.2815
0.4204
if
t_twitch
<
0.2825
0.4200
if
t_twitch
<
0.2835
0.4196
if
t_twitch
<
0.2845
0.4192
if
t_twitch
<
0.2855
0.4188
if
t_twitch
<
0.2865
0.4183
if
t_twitch
<
0.2875
0.4179
if
t_twitch
<
0.2885
0.4175
if
t_twitch
<
0.2895
0.4171
if
t_twitch
<
0.2905
0.4167
if
t_twitch
<
0.2915
0.4163
if
t_twitch
<
0.2925
0.4159
if
t_twitch
<
0.2935
0.4155
if
t_twitch
<
0.2945
0.4151
if
t_twitch
<
0.2955
0.4147
if
t_twitch
<
0.2965
0.4143
if
t_twitch
<
0.2975
0.4140
if
t_twitch
<
0.2985
0.4136
if
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0.2609
if
t_twitch
<
0.9815
0.2609
if
t_twitch
<
0.9825
0.2610
if
t_twitch
<
0.9835
0.2610
if
t_twitch
<
0.9845
0.2611
if
t_twitch
<
0.9855
0.2611
if
t_twitch
<
0.9865
0.2611
if
t_twitch
<
0.9875
0.2611
if
t_twitch
<
0.9885
0.2612
if
t_twitch
<
0.9895
0.2612
if
t_twitch
<
0.9905
0.2612
if
t_twitch
<
0.9915
0.2611
if
t_twitch
<
0.9925
0.2611
if
t_twitch
<
0.9935
0.2611
if
t_twitch
<
0.9945
0.2610
if
t_twitch
<
0.9955
0.2610
if
t_twitch
<
0.9965
0.2609
if
t_twitch
<
0.9975
0.2608
if
t_twitch
<
0.9985
0.2607
if
t_twitch
<
0.9995
0.2607
if
t_twitch
<
1.0005
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Metabolite-sensitive cross-bridge models of human atria
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4bac6e1b6e74
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