format version = 1.0
 
 
 begin problem ss_5genes3                    
 
 type = SSystem
 date =  5-Aug-08 09:56:12
 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.
 
 
 
 
// ERROR FUNCTION
 
 errorFunction
 has type = minusLogLikelihoodPlusLambdaK
 has equation = -L+lambda*K
 has lambda =   1.
 
 
 // EXPERIMENTS
 
 experiment_1 has name = exp1 has perfectData
 experiment_2 has name = exp2 has perfectData
 experiment_3 has name = exp3 has perfectData
 experiment_4 has name = exp4 has perfectData
 experiment_5 has name = exp5 has perfectData
 experiment_6 has name = exp6 has perfectData
 experiment_7 has name = exp7 has perfectData
 experiment_8 has name = exp8 has perfectData
 experiment_9 has name = exp9 has perfectData
 experiment_10 has name = exp10 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 =  0.25000000E-01
 has variable_ =   0.9842458105466422E+00  0.2799632970462104E+00  0.9108815259648485E+00  0.6617340828179363E+00  0.2078970242254985E+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 =  0.50000000E+00
 has variable_ =   0.7342866698534577E+00  0.7364200571814877E+00  0.9999996322536677E+00  0.9283662557278203E+00  0.9281858939802621E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   2
 
 
 sample_1 of experiment_2
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.7000000000000000E+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_2
 has time =  0.25000000E-01
 has variable_ =   0.3085966616819418E+00  0.6044670536835689E+00  0.4834379287150641E+00  0.2708150214194467E+00  0.1818200402301018E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_2
 has time =  0.50000000E+00
 has variable_ =   0.7343058753868317E+00  0.7368176016489336E+00  0.9999975614840901E+00  0.9282692280118411E+00  0.9281391231882472E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   3
 
 
 sample_1 of experiment_3
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.1200000000000000E+00  0.7000000000000000E+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_3
 has time =  0.25000000E-01
 has variable_ =   0.6329704662163566E+00  0.1579929795665106E+00  0.9926078837730088E+00  0.9211455932728724E+00  0.2580962622388663E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_3
 has time =  0.50000000E+00
 has variable_ =   0.7339512354954029E+00  0.7336171239460781E+00  0.1000000465761095E+01  0.9283850929937505E+00  0.9281983644411393E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   4
 
 
 sample_1 of experiment_4
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.1200000000000000E+00  0.1400000000000000E+00  0.7000000000000000E+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_4
 has time =  0.25000000E-01
 has variable_ =   0.4455526587366517E+00  0.1359768560976380E+00  0.9737459622272381E+00  0.9924283070317511E+00  0.3304077028246442E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_4
 has time =  0.50000000E+00
 has variable_ =   0.7337020332642007E+00  0.7316332376220682E+00  0.1000000002370127E+01  0.9283392918183206E+00  0.9281786699426017E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   5
 
 
 sample_1 of experiment_5
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.1200000000000000E+00  0.1400000000000000E+00  0.1600000000000000E+00  0.7000000000000000E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_2 of experiment_5
 has time =  0.25000000E-01
 has variable_ =   0.2372044986482549E+00  0.1228638423963363E+00  0.9761995810463419E+00  0.3354429566375131E+00  0.6073808921387663E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_5
 has time =  0.50000000E+00
 has variable_ =   0.7337150025681374E+00  0.7316226979597920E+00  0.1000000045909073E+01  0.9282112561983349E+00  0.9282306638845247E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   6
 
 
 sample_1 of experiment_6
 has time =  0.00000000E+00
 has variable_ =   0.7000000000000000E+00  0.7000000000000000E+00  0.1400000000000000E+00  0.1600000000000000E+00  0.7000000000000000E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_2 of experiment_6
 has time =  0.25000000E-01
 has variable_ =   0.6487387616081044E+00  0.6901086518414837E+00  0.4621532950979289E+00  0.1854828600611526E+00  0.6018255056003555E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_6
 has time =  0.50000000E+00
 has variable_ =   0.7345080633880877E+00  0.7385339546051509E+00  0.9999985740124205E+00  0.9280742668164766E+00  0.9283480223896492E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   7
 
 
 sample_1 of experiment_7
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.7000000000000000E+00  0.7000000000000000E+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_7
 has time =  0.25000000E-01
 has variable_ =   0.5702952651857919E+00  0.6269528269214341E+00  0.8481752447127932E+00  0.7318162886083692E+00  0.2280252679508741E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_7
 has time =  0.50000000E+00
 has variable_ =   0.7340192853691867E+00  0.7349773102776488E+00  0.1000000103532927E+01  0.9283063308887040E+00  0.9281720936042454E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   8
 
 
 sample_1 of experiment_8
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.1200000000000000E+00  0.7000000000000000E+00  0.7000000000000000E+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_8
 has time =  0.25000000E-01
 has variable_ =   0.5129007051278339E+00  0.1468633582905100E+00  0.9930812084943796E+00  0.1123364361674192E+01  0.3866243175489633E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_8
 has time =  0.50000000E+00
 has variable_ =   0.7336945878562511E+00  0.7315265482301890E+00  0.1000000001235173E+01  0.9283545908314106E+00  0.9281989960413530E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT   9
 
 
 sample_1 of experiment_9
 has time =  0.00000000E+00
 has variable_ =   0.1000000000000000E+00  0.1200000000000000E+00  0.1400000000000000E+00  0.7000000000000000E+00  0.7000000000000000E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_2 of experiment_9
 has time =  0.25000000E-01
 has variable_ =   0.2255160564678191E+00  0.1225266962591244E+00  0.9762844739729617E+00  0.7482371505171582E+00  0.7010477417884075E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_9
 has time =  0.50000000E+00
 has variable_ =   0.7333868095113654E+00  0.7285033487247907E+00  0.9999999713562501E+00  0.9282803384391690E+00  0.9282703600288131E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 
// EXPERIMENT  10
 
 
 sample_1 of experiment_10
 has time =  0.00000000E+00
 has variable_ =   0.7000000000000000E+00  0.1200000000000000E+00  0.1400000000000000E+00  0.1600000000000000E+00  0.7000000000000000E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_2 of experiment_10
 has time =  0.25000000E-01
 has variable_ =   0.7132176894782842E+00  0.2324694418626378E+00  0.9229441552329372E+00  0.3107310144889870E+00  0.6062752329641995E+00
 has sdev of variable_ =  0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01 0.10000000E-01
 
 sample_3 of experiment_10
 has time =  0.50000000E+00
 has variable_ =   0.7341891085330180E+00  0.7360233691947576E+00  0.9999999995443610E+00  0.9281963530315731E+00  0.9282379785410206E+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
 
 h has defaultInitialValue = 0
 
 
 end problem ss_5genes3