format version = 1.0 begin problem ss_5genes6 type = SSystem date = 5-Aug-08 09:56:28 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 // MODEL SPACE alpha has defaultLowerBound = 0. alpha has defaultUpperBound = 15. beta has defaultLowerBound = 0. beta has defaultUpperBound = 15. g has defaultLowerBound = -3. g has defaultUpperBound = 3. h has defaultLowerBound = -3. h has defaultUpperBound = 3. g_2_1 is nonZero g_3_2 is nonZero g_4_3 is nonZero g_5_4 is nonZero 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 // ERROR FUNCTION errorFunction has type = minusLogLikelihoodPlusLambdaK has equation = -L+lambda*K has lambda = 1. // EXPERIMENTS experiment_1 has name = exp1 has perfectData // EXPERIMENT 1 sample_1 of experiment_1 has time = 0.00000000E+00 has variable_ = 0.7000000000000000E+00 0.1200000000000000E+00 0.1400000000000000E+00 0.1600000000000000E+00 0.1800000000000000E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_2 of experiment_1 has time = 0.10000000E-01 has variable_ = 0.7740854288738029E+00 0.1705735893951706E+00 0.6858739058026508E+00 0.2598011375358096E+00 0.1805611760622874E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_3 of experiment_1 has time = 0.20000000E-01 has variable_ = 0.9176227459530631E+00 0.2379997453585849E+00 0.8713485592282044E+00 0.5193963939588035E+00 0.1923367629614809E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_4 of experiment_1 has time = 0.30000000E-01 has variable_ = 0.1038420604594351E+01 0.3266400175600168E+00 0.9351861315582923E+00 0.7910336746578494E+00 0.2320518906166665E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_5 of experiment_1 has time = 0.40000000E-01 has variable_ = 0.1102231122300274E+01 0.4279910739200869E+00 0.9614355478857560E+00 0.9832042122711110E+00 0.3053551754748239E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_6 of experiment_1 has time = 0.50000000E-01 has variable_ = 0.1116768952070325E+01 0.5287857348356926E+00 0.9744631807370926E+00 0.1088858239696677E+01 0.4015823241771819E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_7 of experiment_1 has time = 0.60000000E-01 has variable_ = 0.1101765107371942E+01 0.6190657730384411E+00 0.9818698151807064E+00 0.1134170688953677E+01 0.5053352101480139E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_8 of experiment_1 has time = 0.70000000E-01 has variable_ = 0.1072251252873835E+01 0.6940627621485724E+00 0.9866002381920943E+00 0.1143835535138122E+01 0.6045869165612785E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_9 of experiment_1 has time = 0.80000000E-01 has variable_ = 0.1037151709789823E+01 0.7528045398711860E+00 0.9897838537175507E+00 0.1134334391734628E+01 0.6923194217731138E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_10 of experiment_1 has time = 0.90000000E-01 has variable_ = 0.1001187549478120E+01 0.7964778395060365E+00 0.9920852981894225E+00 0.1115370594459811E+01 0.7655977043586382E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_11 of experiment_1 has time = 0.10000000E+00 has variable_ = 0.9667741417113107E+00 0.8272051121917606E+00 0.9938129604241326E+00 0.1092565834690783E+01 0.8241206202950760E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_12 of experiment_1 has time = 0.15000000E+00 has variable_ = 0.8393664994200825E+00 0.8627786770399668E+00 0.9980628298414597E+00 0.9919333420315981E+00 0.9522444568002952E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_13 of experiment_1 has time = 0.20000000E+00 has variable_ = 0.7765171155409907E+00 0.8274649168290096E+00 0.9993963497249746E+00 0.9434217665535994E+00 0.9572291825399157E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_14 of experiment_1 has time = 0.25000000E+00 has variable_ = 0.7499212257351757E+00 0.7905410874479591E+00 0.9998243547532787E+00 0.9281007280216985E+00 0.9423544471258243E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_15 of experiment_1 has time = 0.30000000E+00 has variable_ = 0.7399013998170061E+00 0.7654526930463031E+00 0.9999504538661970E+00 0.9258052593509698E+00 0.9325804525109566E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 sample_16 of experiment_1 has time = 0.50000000E+00 has variable_ = 0.7342866583002997E+00 0.7364200724330117E+00 0.9999996317810018E+00 0.9283662413773888E+00 0.9281859115665985E+00 has sdev of variable_ = 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 // INITIAL BOUNDS // Perfect data, not required // INITIAL SOLUTION alpha has defaultInitialValue = 1 beta has defaultInitialValue = 1 g has defaultInitialValue = 0 g_2_1 has initialValue = 0.1 g_3_2 has initialValue = 0.1 g_4_3 has initialValue = 0.1 g_5_4 has initialValue = 0.1 h has defaultInitialValue = 0 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 end problem ss_5genes6