Six compartments: differential
         equation model

A simple pharmokinetic compartmental model. The solution is a constant.

   model
   {
       solution[1:n.grid, 1:dim] <- ode(init[1:dim], grid[1:n.grid], D(C[1:dim], t), 0, tol)

       D(C[1], t) <- PER1 * C[7] - R * kT1 * C[1]
       D(C[2], t) <- PER2 * C[8] - R * kT2 * C[2] - CLR * C[8] / V2
       D(C[3], t) <- PER3 * C[8] - R * kT3 * C[3]
       D(C[4], t) <- (QHEP * C[8] + R * kT3 * V3 * C[3] -
         R * kT4 * V4 * C[4] * (1 + CLHEP / (R * Q4 - CLHEP))) / V4
       D(C[5], t) <- PER5 * C[8] - R * kT5 * C[5]
       D(C[6], t) <- PER6 * C[8] - R * kT6 * C[6]
       D(C[7], t) <- (R * (kT2 * V2 * C[2] + kT4 * V4 * C[4] + kT5 * V5 * C[5] +
         kT6 * V6 * C[6])     - Q1 * C[7]) / VVEN
       D(C[8], t) <- (R * kT1 * V1 * C[1] - Q1 * C[8]) / VART

       PER1 <- Q1 / V1
       PER2 <- Q2 / V2
       PER3 <- Q3 / V3
       PER5 <- Q5 / V5
       PER6 <- Q6 / V6

       Q4 <- Q3 + QHEP
    }

Data ( click to open )


Results
      
solution[1,1]      0.0
solution[1,2]      0.0
solution[1,3]      0.0
solution[1,4]      0.0
solution[1,5]      0.0
solution[1,6]      0.0
solution[1,7]      25.0
solution[1,8]      0.0
solution[2,1]      1.334
solution[2,2]      1.551
solution[2,3]      2.401
solution[2,4]      3.687
solution[2,5]      0.6159
solution[2,6]      0.3393
solution[2,7]      0.2623
solution[2,8]      0.2653
solution[3,1]      0.9136
solution[3,2]      0.97
solution[3,3]      1.26
solution[3,4]      1.959
solution[3,5]      0.6085
solution[3,6]      0.411
solution[3,7]      0.18
solution[3,8]      0.1813
solution[4,1]      0.7252
solution[4,2]      0.7523
solution[4,3]      0.8942
solution[4,4]      1.277
solution[4,5]      0.5603
solution[4,6]      0.4576
solution[4,7]      0.1431
solution[4,8]      0.1437
solution[5,1]      0.6197
solution[5,2]      0.6365
solution[5,3]      0.731
solution[5,4]      0.9987
solution[5,5]      0.5045
solution[5,6]      0.4916
solution[5,7]      0.1223
solution[5,8]      0.1227
solution[6,1]      0.5448
solution[6,2]      0.5575
solution[6,3]      0.6324
solution[6,4]      0.8495
solution[6,5]      0.4511
solution[6,6]      0.5174
solution[6,7]      0.1075
solution[6,8]      0.1078
solution[7,1]      0.4837
solution[7,2]      0.4943
solution[7,3]      0.5584
solution[7,4]      0.7456
solution[7,5]      0.4024
solution[7,6]      0.5369
solution[7,7]      0.09549
solution[7,8]      0.09574
solution[8,1]      0.431
solution[8,2]      0.4402
solution[8,3]      0.4966
solution[8,4]      0.6617
solution[8,5]      0.3588
solution[8,6]      0.5513
solution[8,7]      0.08508
solution[8,8]      0.0853
solution[9,1]      0.3845
solution[9,2]      0.3927
solution[9,3]      0.4427
solution[9,4]      0.5895
solution[9,5]      0.32
solution[9,6]      0.5613
solution[9,7]      0.07591
solution[9,8]      0.07611
solution[10,1]      0.3433
solution[10,2]      0.3506
solution[10,3]      0.3951
solution[10,4]      0.526
solution[10,5]      0.2854
solution[10,6]      0.5675
solution[10,7]      0.06778
solution[10,8]      0.06796
solution[11,1]      0.3067
solution[11,2]      0.3132
solution[11,3]      0.3529
solution[11,4]      0.4696
solution[11,5]      0.2546
solution[11,6]      0.5704
solution[11,7]      0.06055
solution[11,8]      0.06071
solution[12,1]      0.2741
solution[12,2]      0.2799
solution[12,3]      0.3153
solution[12,4]      0.4196
solution[12,5]      0.2272
solution[12,6]      0.5706
solution[12,7]      0.05412
solution[12,8]      0.05426
solution[13,1]      0.2451
solution[13,2]      0.2503
solution[13,3]      0.2819
solution[13,4]      0.3751
solution[13,5]      0.2028
solution[13,6]      0.5683
solution[13,7]      0.04839
solution[13,8]      0.04852
solution[14,1]      0.2193
solution[14,2]      0.2239
solution[14,3]      0.2521
solution[14,4]      0.3354
solution[14,5]      0.1811
solution[14,6]      0.564
solution[14,7]      0.04329
solution[14,8]      0.04341
solution[15,1]      0.1963
solution[15,2]      0.2004
solution[15,3]      0.2256
solution[15,4]      0.3001
solution[15,5]      0.1618
solution[15,6]      0.558
solution[15,7]      0.03875
solution[15,8]      0.03885
solution[16,1]      0.1758
solution[16,2]      0.1794
solution[16,3]      0.202
solution[16,4]      0.2687
solution[16,5]      0.1446
solution[16,6]      0.5505
solution[16,7]      0.03471
solution[16,8]      0.0348
solution[17,1]      0.1576
solution[17,2]      0.1608
solution[17,3]      0.181
solution[17,4]      0.2407
solution[17,5]      0.1293
solution[17,6]      0.5419
solution[17,7]      0.03111
solution[17,8]      0.03118
solution[18,1]      0.1413
solution[18,2]      0.1442
solution[18,3]      0.1623
solution[18,4]      0.2157
solution[18,5]      0.1157
solution[18,6]      0.5322
solution[18,7]      0.02789
solution[18,8]      0.02796
solution[19,1]      0.1268
solution[19,2]      0.1294
solution[19,3]      0.1456
solution[19,4]      0.1935
solution[19,5]      0.1035
solution[19,6]      0.5217
solution[19,7]      0.02503
solution[19,8]      0.02509
solution[20,1]      0.1139
solution[20,2]      0.1161
solution[20,3]      0.1307
solution[20,4]      0.1736
solution[20,5]      0.09274
solution[20,6]      0.5106
solution[20,7]      0.02248
solution[20,8]      0.02253
solution[21,1]      0.1023
solution[21,2]      0.1044
solution[21,3]      0.1174
solution[21,4]      0.1559
solution[21,5]      0.08311
solution[21,6]      0.4989
solution[21,7]      0.0202
solution[21,8]      0.02025
solution[22,1]      0.09203
solution[22,2]      0.09386
solution[22,3]      0.1055
solution[22,4]      0.1402
solution[22,5]      0.07453
solution[22,6]      0.4869
solution[22,7]      0.01817
solution[22,8]      0.01821
solution[23,1]      0.08285
solution[23,2]      0.08448
solution[23,3]      0.09497
solution[23,4]      0.1261
solution[23,5]      0.06688
solution[23,6]      0.4746
solution[23,7]      0.01636
solution[23,8]      0.0164
solution[24,1]      0.07465
solution[24,2]      0.0761
solution[24,3]      0.08553
solution[24,4]      0.1135
solution[24,5]      0.06006
solution[24,6]      0.4621
solution[24,7]      0.01474
solution[24,8]      0.01477
solution[25,1]      0.06733
solution[25,2]      0.06863
solution[25,3]      0.07711
solution[25,4]      0.1023
solution[25,5]      0.05397
solution[25,6]      0.4495
solution[25,7]      0.01329
solution[25,8]      0.01332
solution[26,1]      0.06078
solution[26,2]      0.06194
solution[26,3]      0.06958
solution[26,4]      0.09231
solution[26,5]      0.04854
solution[26,6]      0.4368
solution[26,7]      0.012
solution[26,8]      0.01203
solution[27,1]      0.05493
solution[27,2]      0.05597
solution[27,3]      0.06285
solution[27,4]      0.08336
solution[27,5]      0.0437
solution[27,6]      0.4242
solution[27,7]      0.01085
solution[27,8]      0.01087
solution[28,1]      0.0497
solution[28,2]      0.05063
solution[28,3]      0.05684
solution[28,4]      0.07536
solution[28,5]      0.03937
solution[28,6]      0.4116
solution[28,7]      0.009814
solution[28,8]      0.009836
solution[29,1]      0.04502
solution[29,2]      0.04585
solution[29,3]      0.05145
solution[29,4]      0.0682
solution[29,5]      0.03551
solution[29,6]      0.3991
solution[29,7]      0.008889
solution[29,8]      0.008909
solution[30,1]      0.04083
solution[30,2]      0.04158
solution[30,3]      0.04664
solution[30,4]      0.06179
solution[30,5]      0.03206
solution[30,6]      0.3868
solution[30,7]      0.008062
solution[30,8]      0.00808
solution[31,1]      0.03708
solution[31,2]      0.03774
solution[31,3]      0.04232
solution[31,4]      0.05606
solution[31,5]      0.02897
solution[31,6]      0.3747
solution[31,7]      0.007321
solution[31,8]      0.007337
solution[32,1]      0.03371
solution[32,2]      0.03431
solution[32,3]      0.03846
solution[32,4]      0.05092
solution[32,5]      0.02621
solution[32,6]      0.3627
solution[32,7]      0.006657
solution[32,8]      0.006671
solution[33,1]      0.03069
solution[33,2]      0.03123
solution[33,3]      0.03499
solution[33,4]      0.04631
solution[33,5]      0.02374
solution[33,6]      0.351
solution[33,7]      0.006061
solution[33,8]      0.006074
solution[34,1]      0.02798
solution[34,2]      0.02847
solution[34,3]      0.03188
solution[34,4]      0.04218
solution[34,5]      0.02153
solution[34,6]      0.3395
solution[34,7]      0.005526
solution[34,8]      0.005537
solution[35,1]      0.02555
solution[35,2]      0.02598
solution[35,3]      0.02909
solution[35,4]      0.03847
solution[35,5]      0.01955
solution[35,6]      0.3283
solution[35,7]      0.005045
solution[35,8]      0.005056
solution[36,1]      0.02336
solution[36,2]      0.02375
solution[36,3]      0.02658
solution[36,4]      0.03513
solution[36,5]      0.01778
solution[36,6]      0.3173
solution[36,7]      0.004613
solution[36,8]      0.004623
solution[37,1]      0.02139
solution[37,2]      0.02175
solution[37,3]      0.02432
solution[37,4]      0.03214
solution[37,5]      0.01619
solution[37,6]      0.3066
solution[37,7]      0.004225
solution[37,8]      0.004233
solution[38,1]      0.01962
solution[38,2]      0.01994
solution[38,3]      0.02229
solution[38,4]      0.02944
solution[38,5]      0.01476
solution[38,6]      0.2961
solution[38,7]      0.003875
solution[38,8]      0.003882
solution[39,1]      0.01803
solution[39,2]      0.01831
solution[39,3]      0.02046
solution[39,4]      0.02701
solution[39,5]      0.01347
solution[39,6]      0.286
solution[39,7]      0.003559
solution[39,8]      0.003566
solution[40,1]      0.01658
solution[40,2]      0.01684
solution[40,3]      0.01881
solution[40,4]      0.02482
solution[40,5]      0.01232
solution[40,6]      0.2761
solution[40,7]      0.003275
solution[40,8]      0.003281
solution[41,1]      0.01528
solution[41,2]      0.01551
solution[41,3]      0.01732
solution[41,4]      0.02284
solution[41,5]      0.01128
solution[41,6]      0.2665
solution[41,7]      0.003018
solution[41,8]      0.003024
solution[42,1]      0.01411
solution[42,2]      0.01432
solution[42,3]      0.01598
solution[42,4]      0.02106
solution[42,5]      0.01035
solution[42,6]      0.2572
solution[42,7]      0.002786
solution[42,8]      0.002791
solution[43,1]      0.01304
solution[43,2]      0.01323
solution[43,3]      0.01476
solution[43,4]      0.01944
solution[43,5]      0.009504
solution[43,6]      0.2482
solution[43,7]      0.002575
solution[43,8]      0.00258
solution[44,1]      0.01208
solution[44,2]      0.01225
solution[44,3]      0.01365
solution[44,4]      0.01798
solution[44,5]      0.008744
solution[44,6]      0.2394
solution[44,7]      0.002385
solution[44,8]      0.002388
solution[45,1]      0.0112
solution[45,2]      0.01136
solution[45,3]      0.01265
solution[45,4]      0.01666
solution[45,5]      0.008057
solution[45,6]      0.2309
solution[45,7]      0.002212
solution[45,8]      0.002215
solution[46,1]      0.0104
solution[46,2]      0.01055
solution[46,3]      0.01175
solution[46,4]      0.01545
solution[46,5]      0.007436
solution[46,6]      0.2227
solution[46,7]      0.002055
solution[46,8]      0.002058
solution[47,1]      0.009679
solution[47,2]      0.00981
solution[47,3]      0.01092
solution[47,4]      0.01436
solution[47,5]      0.006875
solution[47,6]      0.2148
solution[47,7]      0.001912
solution[47,8]      0.001915
solution[48,1]      0.00902
solution[48,2]      0.009139
solution[48,3]      0.01017
solution[48,4]      0.01337
solution[48,5]      0.006365
solution[48,6]      0.2071
solution[48,7]      0.001781
solution[48,8]      0.001784
solution[49,1]      0.008419
solution[49,2]      0.008527
solution[49,3]      0.009485
solution[49,4]      0.01246
solution[49,5]      0.005904
solution[49,6]      0.1996
solution[49,7]      0.001663
solution[49,8]      0.001665
solution[50,1]      0.007869
solution[50,2]      0.007969
solution[50,3]      0.008859
solution[50,4]      0.01163
solution[50,5]      0.005484
solution[50,6]      0.1924
solution[50,7]      0.001554
solution[50,8]      0.001557
solution[51,1]      0.007367
solution[51,2]      0.007458
solution[51,3]      0.008288
solution[51,4]      0.01088
solution[51,5]      0.005102
solution[51,6]      0.1855
solution[51,7]      0.001455
solution[51,8]      0.001457
solution[52,1]      0.006906
solution[52,2]      0.00699
solution[52,3]      0.007764
solution[52,4]      0.01019
solution[52,5]      0.004755
solution[52,6]      0.1788
solution[52,7]      0.001364
solution[52,8]      0.001366
solution[53,1]      0.006484
solution[53,2]      0.00656
solution[53,3]      0.007284
solution[53,4]      0.009554
solution[53,5]      0.004438
solution[53,6]      0.1723
solution[53,7]      0.001281
solution[53,8]      0.001282
solution[54,1]      0.006095
solution[54,2]      0.006166
solution[54,3]      0.006843
solution[54,4]      0.008972
solution[54,5]      0.004148
solution[54,6]      0.166
solution[54,7]      0.001204
solution[54,8]      0.001206
solution[55,1]      0.005738
solution[55,2]      0.005803
solution[55,3]      0.006438
solution[55,4]      0.008437
solution[55,5]      0.003883
solution[55,6]      0.1599
solution[55,7]      0.001133
solution[55,8]      0.001135
solution[56,1]      0.005408
solution[56,2]      0.005468
solution[56,3]      0.006065
solution[56,4]      0.007945
solution[56,5]      0.00364
solution[56,6]      0.1541
solution[56,7]      0.001068
solution[56,8]      0.00107
solution[57,1]      0.005104
solution[57,2]      0.005159
solution[57,3]      0.00572
solution[57,4]      0.00749
solution[57,5]      0.003417
solution[57,6]      0.1485
solution[57,7]      0.001008
solution[57,8]      0.001009
solution[58,1]      0.004822
solution[58,2]      0.004873
solution[58,3]      0.005401
solution[58,4]      0.007071
solution[58,5]      0.003212
solution[58,6]      0.143
solution[58,7]      9.525E-4
solution[58,8]      9.537E-4
solution[59,1]      0.004561
solution[59,2]      0.004609
solution[59,3]      0.005106
solution[59,4]      0.006682
solution[59,5]      0.003024
solution[59,6]      0.1378
solution[59,7]      9.01E-4
solution[59,8]      9.021E-4
solution[60,1]      0.004319
solution[60,2]      0.004363
solution[60,3]      0.004833
solution[60,4]      0.006322
solution[60,5]      0.00285
solution[60,6]      0.1327
solution[60,7]      8.532E-4
solution[60,8]      8.542E-4
solution[61,1]      0.004094
solution[61,2]      0.004135
solution[61,3]      0.004579
solution[61,4]      0.005988
solution[61,5]      0.00269
solution[61,6]      0.1279
solution[61,7]      8.087E-4
solution[61,8]      8.097E-4
solution[62,1]      0.003885
solution[62,2]      0.003923
solution[62,3]      0.004342
solution[62,4]      0.005678
solution[62,5]      0.002541
solution[62,6]      0.1231
solution[62,7]      7.674E-4
solution[62,8]      7.683E-4
solution[63,1]      0.003689
solution[63,2]      0.003725
solution[63,3]      0.004122
solution[63,4]      0.005388
solution[63,5]      0.002404
solution[63,6]      0.1186
solution[63,7]      7.288E-4
solution[63,8]      7.296E-4
solution[64,1]      0.003507
solution[64,2]      0.00354
solution[64,3]      0.003917
solution[64,4]      0.005118
solution[64,5]      0.002276
solution[64,6]      0.1142
solution[64,7]      6.928E-4
solution[64,8]      6.936E-4
solution[65,1]      0.00269
solution[65,2]      0.003266
solution[65,3]      0.003685
solution[65,4]      0.004855
solution[65,5]      0.002155
solution[65,6]      0.11
solution[65,7]      6.65E-4
solution[65,8]      9.966E-4
solution[66,1]      0.003177
solution[66,2]      0.003206
solution[66,3]      0.003545
solution[66,4]      0.00463
solution[66,5]      0.002047
solution[66,6]      0.106
solution[66,7]      6.275E-4
solution[66,8]      6.282E-4
solution[67,1]      0.003027
solution[67,2]      0.003054
solution[67,3]      0.003377
solution[67,4]      0.004409
solution[67,5]      0.001944
solution[67,6]      0.1021
solution[67,7]      5.979E-4
solution[67,8]      5.986E-4
solution[68,1]      0.002886
solution[68,2]      0.002912
solution[68,3]      0.003219
solution[68,4]      0.004202
solution[68,5]      0.001848
solution[68,6]      0.09828
solution[68,7]      5.701E-4
solution[68,8]      5.708E-4
solution[69,1]      0.002754
solution[69,2]      0.002778
solution[69,3]      0.00307
solution[69,4]      0.004007
solution[69,5]      0.001758
solution[69,6]      0.09464
solution[69,7]      5.44E-4
solution[69,8]      5.446E-4
solution[70,1]      0.002629
solution[70,2]      0.002652
solution[70,3]      0.00293
solution[70,4]      0.003824
solution[70,5]      0.001674
solution[70,6]      0.09114
solution[70,7]      5.193E-4
solution[70,8]      5.199E-4
solution[71,1]      0.002511
solution[71,2]      0.002533
solution[71,3]      0.002798
solution[71,4]      0.003651
solution[71,5]      0.001595
solution[71,6]      0.08777
solution[71,7]      4.961E-4
solution[71,8]      4.966E-4
solution[72,1]      0.0024
solution[72,2]      0.002421
solution[72,3]      0.002674
solution[72,4]      0.003489
solution[72,5]      0.001521
solution[72,6]      0.08452
solution[72,7]      4.742E-4
solution[72,8]      4.747E-4
solution[73,1]      0.002296
solution[73,2]      0.002315
solution[73,3]      0.002557
solution[73,4]      0.003335
solution[73,5]      0.001451
solution[73,6]      0.08138
solution[73,7]      4.535E-4
solution[73,8]      4.539E-4