format version = 1.0 begin problem ss_cadBA2 type = SSystem date = 1-Dec-08 12:58:00 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 // MODEL SPACE alpha has defaultLowerBound = 0. alpha has defaultUpperBound = 10. beta has defaultLowerBound = 0. beta has defaultUpperBound = 10. g has defaultLowerBound = -3. g has defaultUpperBound = 3. h has defaultLowerBound = -3. h has defaultUpperBound = 3. g_5_1 has lowerBound = 0.0 g_5_2 has lowerBound = 0.0 g_5_3 has lowerBound = 0.0 g_5_4 has lowerBound = 0.0 g_5_5 has lowerBound = 0.0 g_5_1 has upperBound = 0.0 g_5_2 has upperBound = 0.0 g_5_3 has upperBound = 0.0 g_5_4 has upperBound = 0.0 g_5_5 has upperBound = 0.0 h_5_1 has lowerBound = 0.0 h_5_2 has lowerBound = 0.0 h_5_3 has lowerBound = 0.0 h_5_4 has lowerBound = 0.0 h_5_1 has upperBound = 0.0 h_5_2 has upperBound = 0.0 h_5_3 has upperBound = 0.0 h_5_4 has upperBound = 0.0 h_5_5 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_ = 0.33 0.0 0.0 9.08 5.5 has sdev of variable_ = 0.066 0.05 0.05 0.454 0.275 sample_2 of experiment_1 has time = 0.1 has variable_ = 0.13 3.78 0.42 8.95 5.5 has sdev of variable_ = 0.026 0.189 0.021 0.4475 0.275 sample_3 of experiment_1 has time = 0.5 has variable_ = 0.55 7.03 0.72 8.9 5.52 has sdev of variable_ = 0.11 0.3515 0.036 0.445 0.276 sample_4 of experiment_1 has time = 1 has variable_ = 2.02 10 1.45 7.74 5.56 has sdev of variable_ = 0.404 0.5 0.0725 0.387 0.278 sample_5 of experiment_1 has time = 1.5 has variable_ = 2.35 7.04 2.28 6.5 5.63 has sdev of variable_ = 0.47 0.352 0.114 0.325 0.2815 sample_6 of experiment_1 has time = 2 has variable_ = 4.13 3.38 3.15 6.25 5.68 has sdev of variable_ = 0.826 0.169 0.1575 0.3125 0.284 sample_7 of experiment_1 has time = 2.5 has variable_ = 3.29 2 3.8 6 5.73 has sdev of variable_ = 0.658 0.1 0.19 0.3 0.2865 sample_8 of experiment_1 has time = 3 has variable_ = 5.2 0.96 4.15 5.75 5.77 has sdev of variable_ = 1.04 0.048 0.2075 0.2875 0.2885 sample_9 of experiment_1 has time = 3.5 has variable_ = 5.25 0.16 4.38 5.5 5.79 has sdev of variable_ = 1.05 0.008 0.219 0.275 0.2895 sample_10 of experiment_1 has time = 4 has variable_ = 3.99 0.76 4.8 5.18 5.8 has sdev of variable_ = 0.798 0.038 0.24 0.259 0.29 sample_11 of experiment_1 has time = 4.5 has variable_ = 6.32 0.13 5.14 4.87 5.81 has sdev of variable_ = 1.264 0.0065 0.257 0.2435 0.2905 sample_12 of experiment_1 has time = 5 has variable_ = 3.86 0.32 5.23 4.55 5.82 has sdev of variable_ = 0.772 0.016 0.2615 0.2275 0.291 sample_13 of experiment_1 has time = 5.5 has variable_ = 2.57 0.3 5.47 4.28 5.82 has sdev of variable_ = 0.514 0.015 0.2735 0.214 0.291 sample_14 of experiment_1 has time = 6 has variable_ = 3.73 0.42 6.13 4 5.82 has sdev of variable_ = 0.746 0.021 0.3065 0.2 0.291 sample_15 of experiment_1 has time = 6.5 has variable_ = 3.82 0.26 6.68 3.73 5.82 has sdev of variable_ = 0.764 0.013 0.334 0.1865 0.291 sample_16 of experiment_1 has time = 7 has variable_ = 3.45 0.19 6.7 3.45 5.81 has sdev of variable_ = 0.69 0.0095 0.335 0.1725 0.2905 sample_17 of experiment_1 has time = 7.5 has variable_ = 3.67 0.09 6.51 3.18 5.83 has sdev of variable_ = 0.734 0.0045 0.3255 0.159 0.2915 sample_18 of experiment_1 has time = 8 has variable_ = 2.48 0.14 6.63 2.9 5.84 has sdev of variable_ = 0.496 0.007 0.3315 0.145 0.292 sample_19 of experiment_1 has time = 8.5 has variable_ = 3.05 0.13 6.98 2.42 5.86 has sdev of variable_ = 0.61 0.0065 0.349 0.121 0.293 sample_20 of experiment_1 has time = 9 has variable_ = 3.8 0.19 7.25 1.93 5.87 has sdev of variable_ = 0.76 0.0095 0.3625 0.0965 0.2935 sample_21 of experiment_1 has time = 9.5 has variable_ = 3.47 0.39 7.38 1.45 5.89 has sdev of variable_ = 0.694 0.0195 0.369 0.0725 0.2945 sample_22 of experiment_1 has time = 10 has variable_ = 4.22 0.08 7.43 0.67 5.9 has sdev of variable_ = 0.844 0.004 0.3715 0.0335 0.295 sample_23 of experiment_1 has time = 10.5 has variable_ = 2.7 0.14 7.42 0.48 5.91 has sdev of variable_ = 0.54 0.007 0.371 0.024 0.2955 sample_24 of experiment_1 has time = 11 has variable_ = 2.33 0.13 7.41 0 5.92 has sdev of variable_ = 0.466 0.0065 0.3705 0.05 0.296 sample_25 of experiment_1 has time = 11.5 has variable_ = 3.97 0.13 7.4 0 5.93 has sdev of variable_ = 0.794 0.0065 0.37 0.05 0.2965 sample_26 of experiment_1 has time = 12 has variable_ = 3.97 0.1 7.4 0 5.93 has sdev of variable_ = 0.794 0.005 0.37 0.05 0.2965 // INITIAL BOUNDS variable_1 of experiment_1 has lowerInitialBound = 0.198 has upperInitialBound = 0.462 variable_2 of experiment_1 has lowerInitialBound = 0.01 has upperInitialBound = 0.1 variable_3 of experiment_1 has lowerInitialBound = 0.01 has upperInitialBound = 0.1 variable_4 of experiment_1 has lowerInitialBound = 8.172 has upperInitialBound = 9.988 variable_5 of experiment_1 has lowerInitialBound = 4.95 has upperInitialBound = 6.05 // INITIAL SOLUTION alpha has defaultInitialValue = 1 beta has defaultInitialValue = 1 g has defaultInitialValue = 0 h has defaultInitialValue = 0 h_5_5 has initialValue = 0.1 end problem ss_cadBA2