format version = 1.0 begin problem ss_sosrepair2 type = SSystem date = 15-Aug-08 13:03:28 url = www.odeidentification.org // An S-system has the generic ODE: // d/dt X_i = alpha_i * (PRODUCT_j (X_j)^g_ij) - // beta_i * (PRODUCT_j (X_j)^h_ij) // where: alpha is a vector of length n // beta is a vector of length n // g is an n*n matrix // h is an n*n matrix // n is the number of variables // VARIABLES variable_1 has name = x1 is dependent variable_2 has name = x2 is dependent variable_3 has name = x3 is dependent variable_4 has name = x4 is dependent variable_5 has name = x5 is dependent variable_6 has name = x6 is dependent // MODEL SPACE alpha has defaultLowerBound = 0. alpha has defaultUpperBound = 5. beta has defaultLowerBound = 0. beta has defaultUpperBound = 5. g has defaultLowerBound = -2. g has defaultUpperBound = 2. h has defaultLowerBound = 0. h has defaultUpperBound = 0. g_1_2 has upperBound = -0.001 g_2_2 has upperBound = -0.001 g_3_2 has upperBound = -0.001 g_4_2 has upperBound = -0.001 g_5_2 has upperBound = -0.001 g_6_2 has upperBound = -0.001 h_1_1 has lowerBound = -2. h_2_2 has lowerBound = -2. h_3_3 has lowerBound = -2. h_4_4 has lowerBound = -2. h_5_5 has lowerBound = -2. h_6_6 has lowerBound = -2. h_1_1 has upperBound = 2. h_2_2 has upperBound = 2. h_3_3 has upperBound = 2. h_4_4 has upperBound = 2. h_5_5 has upperBound = 2. h_6_6 has upperBound = 2. h_1_1 is nonZero h_2_2 is nonZero h_3_3 is nonZero h_4_4 is nonZero h_5_5 is nonZero h_6_6 is nonZero // ERROR FUNCTION errorFunction has type = minusLogLikelihoodPlusLambdaK has equation = -L+lambda*K has lambda = 1 // EXPERIMENTS experiment_1 has name = exp1 // EXPERIMENT 1 sample_1 of experiment_1 has time = 0 has variable_ = 0.001 0.001 0.001 0.001 0.001 0.001 has sdev of variable_ = 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 sample_2 of experiment_1 has time = 6 has variable_ = 84.6084 1572.176 270.1268 2492.7596 2448.4624 12.2926 has sdev of variable_ = 8.4608 157.2176 27.0127 249.276 244.8462 1.2293 sample_3 of experiment_1 has time = 12 has variable_ = 125.6212 2219.9575 384.0181 3324.1992 3421.2735 36.1964 has sdev of variable_ = 12.5621 221.9958 38.4018 332.4199 342.1273 3.6196 sample_4 of experiment_1 has time = 18 has variable_ = 185.1243 2647.4197 345.7397 3779.216 3619.315 66.9041 has sdev of variable_ = 18.5124 264.742 34.574 377.9216 361.9315 6.6904 sample_5 of experiment_1 has time = 24 has variable_ = 167.1368 2407.4585 338.6022 3562.9138 3173.1709 71.4248 has sdev of variable_ = 16.7137 240.7459 33.8602 356.2914 317.3171 7.1425 sample_6 of experiment_1 has time = 30 has variable_ = 141.0802 2032.2641 366.4541 3267.7563 2592.399 80.309 has sdev of variable_ = 14.108 203.2264 36.6454 326.7756 259.2399 8.0309 sample_7 of experiment_1 has time = 36 has variable_ = 163.2685 1750.6461 265.2947 2657.654 2040.2821 82.896 has sdev of variable_ = 16.3268 175.0646 26.5295 265.7654 204.0282 8.2896 sample_8 of experiment_1 has time = 42 has variable_ = 176.7054 1388.0281 225.5049 2216.4656 1637.707 76.8332 has sdev of variable_ = 17.6705 138.8028 22.5505 221.6466 163.7707 7.6833 sample_9 of experiment_1 has time = 48 has variable_ = 153.3676 1170.6935 232.5856 1966.5286 1214.0766 89.2124 has sdev of variable_ = 15.3368 117.0694 23.2586 196.6529 121.4077 8.9212 sample_10 of experiment_1 has time = 54 has variable_ = 171.3256 963.0204 215.4584 1749.4378 784.5205 81.5767 has sdev of variable_ = 17.1326 96.302 21.5458 174.9438 78.4521 8.1577 sample_11 of experiment_1 has time = 60 has variable_ = 162.024 759.828 174.4985 1443.4302 510.3885 74.2977 has sdev of variable_ = 16.2024 75.9828 17.4499 144.343 51.0389 7.4298 sample_12 of experiment_1 has time = 66 has variable_ = 137.9614 656.4091 129.2314 1280.5775 453.7064 53.7287 has sdev of variable_ = 13.7961 65.6409 12.9231 128.0578 45.3706 5.3729 sample_13 of experiment_1 has time = 72 has variable_ = 141.5607 570.5115 125.8089 1098.6154 409.8296 55.9391 has sdev of variable_ = 14.1561 57.0512 12.5809 109.8615 40.983 5.5939 sample_14 of experiment_1 has time = 78 has variable_ = 138.3489 516.9106 127.9977 1011.2216 462.8308 49.6932 has sdev of variable_ = 13.8349 51.6911 12.7998 101.1222 46.2831 4.9693 sample_15 of experiment_1 has time = 84 has variable_ = 145.2268 512.9605 130.8437 1035.9365 500.1637 49.6066 has sdev of variable_ = 14.5227 51.2961 13.0844 103.5936 50.0164 4.9607 sample_16 of experiment_1 has time = 90 has variable_ = 137.2612 503.9018 125.5084 1071.2066 450.9114 53.9199 has sdev of variable_ = 13.7261 50.3902 12.5508 107.1207 45.0911 5.392 sample_17 of experiment_1 has time = 96 has variable_ = 130.3841 446.9213 127.3582 986.6295 407.8296 56.0124 has sdev of variable_ = 13.0384 44.6921 12.7358 98.663 40.783 5.6012 sample_18 of experiment_1 has time = 102 has variable_ = 101.9714 446.9038 112.1436 1032.323 388.8645 51.2908 has sdev of variable_ = 10.1971 44.6904 11.2144 103.2323 38.8864 5.1291 sample_19 of experiment_1 has time = 108 has variable_ = 74.3089 462.658 97.3926 1155.0137 371.4173 62.9474 has sdev of variable_ = 7.4309 46.2658 9.7393 115.5014 37.1417 6.2947 sample_20 of experiment_1 has time = 114 has variable_ = 70.6061 402.4245 103.3436 1035.7569 303.9938 60.5886 has sdev of variable_ = 7.0606 40.2424 10.3344 103.5757 30.3994 6.0589 sample_21 of experiment_1 has time = 120 has variable_ = 95.2683 324.93 103.3341 959.6834 284.9717 57.6075 has sdev of variable_ = 9.5268 32.493 10.3334 95.9683 28.4972 5.7607 sample_22 of experiment_1 has time = 126 has variable_ = 114.7911 335.3 96.1568 1034.7745 327.5238 57.0258 has sdev of variable_ = 11.4791 33.53 9.6157 103.4775 32.7524 5.7026 sample_23 of experiment_1 has time = 132 has variable_ = 124.8222 322.1295 75.1779 882.3416 286.9961 44.2177 has sdev of variable_ = 12.4822 32.2129 7.5178 88.2342 28.6996 4.4218 sample_24 of experiment_1 has time = 138 has variable_ = 83.332 268.0808 67.3015 765.2781 212.5648 38.8778 has sdev of variable_ = 8.3332 26.8081 6.7301 76.5278 21.2565 3.8878 sample_25 of experiment_1 has time = 144 has variable_ = 71.2564 311.2694 56.9612 715.3673 209.9895 41.0585 has sdev of variable_ = 7.1256 31.1269 5.6961 71.5367 20.999 4.1058 sample_26 of experiment_1 has time = 150 has variable_ = 66.8726 331.8037 44.8597 773.4048 198.9844 49.6101 has sdev of variable_ = 6.6873 33.1804 4.486 77.3405 19.8984 4.961 sample_27 of experiment_1 has time = 156 has variable_ = 96.7463 288.8926 34.5527 733.1257 153.8933 46.3522 has sdev of variable_ = 9.6746 28.8893 3.4553 73.3126 15.3893 4.6352 sample_28 of experiment_1 has time = 162 has variable_ = 95.1888 236.8026 34.4516 625.0844 117.7611 42.1362 has sdev of variable_ = 9.5189 23.6803 3.4452 62.5084 11.7761 4.2136 sample_29 of experiment_1 has time = 168 has variable_ = 88.2482 270.8722 33.4643 615.246 126.6319 38.5037 has sdev of variable_ = 8.8248 27.0872 3.3464 61.5246 12.6632 3.8504 sample_30 of experiment_1 has time = 174 has variable_ = 51.5801 278.8868 52.7636 724.7779 126.0234 18.8276 has sdev of variable_ = 5.158 27.8887 5.2764 72.4778 12.6023 1.8828 sample_31 of experiment_1 has time = 180 has variable_ = 50.7189 310.0537 55.6476 727.4992 160.1988 15.3548 has sdev of variable_ = 5.0719 31.0054 5.5648 72.7499 16.0199 1.5355 sample_32 of experiment_1 has time = 186 has variable_ = 37.9961 318.1344 54.869 561.3552 192.4358 5.4305 has sdev of variable_ = 3.7996 31.8134 5.4869 56.1355 19.2436 0.54305 sample_33 of experiment_1 has time = 192 has variable_ = 54.5728 312.5542 55.5662 529.0904 196.3708 14.9404 has sdev of variable_ = 5.4573 31.2554 5.5566 52.909 19.6371 1.494 sample_34 of experiment_1 has time = 198 has variable_ = 69.8533 265.7551 50.3125 556.4968 184.9433 14.5243 has sdev of variable_ = 6.9853 26.5755 5.0312 55.6497 18.4943 1.4524 sample_35 of experiment_1 has time = 204 has variable_ = 73.184 181.0041 45.1547 491.7959 171.9255 12.2145 has sdev of variable_ = 7.3184 18.1004 4.5155 49.1796 17.1926 1.2214 sample_36 of experiment_1 has time = 210 has variable_ = 65.0067 171.2727 43.8384 356.4233 139.0356 13.2384 has sdev of variable_ = 6.5007 17.1273 4.3838 35.6423 13.9036 1.3238 sample_37 of experiment_1 has time = 216 has variable_ = 62.4349 178.4678 38.1993 419.6063 123.5124 10.6219 has sdev of variable_ = 6.2435 17.8468 3.8199 41.9606 12.3512 1.0622 sample_38 of experiment_1 has time = 222 has variable_ = 54.9469 176.6633 34.3696 491.5598 134.2852 5.9271 has sdev of variable_ = 5.4947 17.6663 3.437 49.156 13.4285 0.59271 sample_39 of experiment_1 has time = 228 has variable_ = 51.8246 203.1585 33.1175 517.9105 165.5845 12.3859 has sdev of variable_ = 5.1825 20.3159 3.3117 51.7911 16.5584 1.2386 sample_40 of experiment_1 has time = 234 has variable_ = 48.5498 204.5332 26.7017 432.4289 138.0093 9.3155 has sdev of variable_ = 4.855 20.4533 2.6702 43.2429 13.8009 0.93155 sample_41 of experiment_1 has time = 240 has variable_ = 47.1528 218.3494 24.3513 409.6115 130.7635 9.1871 has sdev of variable_ = 4.7153 21.8349 2.4351 40.9611 13.0763 0.91871 sample_42 of experiment_1 has time = 246 has variable_ = 46.4665 209.5014 30.9162 310.6227 120.8039 2.827 has sdev of variable_ = 4.6466 20.9501 3.0916 31.0623 12.0804 0.2827 sample_43 of experiment_1 has time = 252 has variable_ = 45.3632 185.9671 22.5889 218.0884 75.5779 8.9368 has sdev of variable_ = 4.5363 18.5967 2.2589 21.8088 7.5578 0.89368 sample_44 of experiment_1 has time = 258 has variable_ = 54.1944 191.0317 22.2135 214.6046 58.4429 0.001 has sdev of variable_ = 5.4194 19.1032 2.2214 21.4605 5.8443 0.0001 sample_45 of experiment_1 has time = 264 has variable_ = 81.0887 218.1197 29.9984 303.5703 56.6708 0.001 has sdev of variable_ = 8.1089 21.812 2.9998 30.357 5.6671 0.0001 sample_46 of experiment_1 has time = 270 has variable_ = 78.8536 192.1008 32.8045 343.6834 58.0499 0.001 has sdev of variable_ = 7.8854 19.2101 3.2805 34.3683 5.805 0.0001 sample_47 of experiment_1 has time = 276 has variable_ = 77.2348 168.4231 28.8654 336.7322 56.4211 0.001 has sdev of variable_ = 7.7235 16.8423 2.8865 33.6732 5.6421 0.0001 sample_48 of experiment_1 has time = 282 has variable_ = 54.7573 167.476 29.0412 320.694 58.7726 0.001 has sdev of variable_ = 5.4757 16.7476 2.9041 32.0694 5.8773 0.0001 sample_49 of experiment_1 has time = 288 has variable_ = 27.8562 148.3915 23.0476 150.3941 57.9504 0.001 has sdev of variable_ = 2.7856 14.8392 2.3048 15.0394 5.795 0.0001 sample_50 of experiment_1 has time = 294 has variable_ = 27.3664 132.2373 20.9556 105.7378 52.3268 0.001 has sdev of variable_ = 2.7366 13.2237 2.0956 10.5738 5.2327 0.0001 // INITIAL BOUNDS variable_1 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 variable_2 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 variable_3 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 variable_4 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 variable_5 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 variable_6 of experiment_1 has lowerInitialBound = 0. has upperInitialBound = 0.1 // INITIAL SOLUTION alpha has defaultInitialValue = 1 beta has defaultInitialValue = 1 g has defaultInitialValue = 0 h has defaultInitialValue = 0 g_1_2 has initialValue = -0.01 g_2_2 has initialValue = -0.01 g_3_2 has initialValue = -0.01 g_4_2 has initialValue = -0.01 g_5_2 has initialValue = -0.01 g_6_2 has initialValue = -0.01 h_1_1 has initialValue = 0.1 h_2_2 has initialValue = 0.1 h_3_3 has initialValue = 0.1 h_4_4 has initialValue = 0.1 h_5_5 has initialValue = 0.1 h_6_6 has initialValue = 0.1 end problem ss_sosrepair2