Generated Code
The following is python code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
# Size of variable arrays:
sizeAlgebraic = 107
sizeStates = 35
sizeConstants = 89
from math import *
from numpy import *
def createLegends():
legend_states = [""] * sizeStates
legend_rates = [""] * sizeStates
legend_algebraic = [""] * sizeAlgebraic
legend_voi = ""
legend_constants = [""] * sizeConstants
legend_constants[0] = "I_hold in component interface (pA_per_pF)"
legend_constants[1] = "I_test in component interface (pA_per_pF)"
legend_constants[2] = "test_start in component interface (msec)"
legend_constants[3] = "test_end in component interface (msec)"
legend_algebraic[0] = "Ist in component interface (pA_per_pF)"
legend_voi = "time in component environment (msec)"
legend_algebraic[104] = "I_tot in component membrane_potential (pA_per_pF)"
legend_algebraic[86] = "I_Ca_tot in component membrane_potential (pA_per_pF)"
legend_states[0] = "v in component membrane_potential (mV)"
legend_constants[73] = "Cm in component parameters (uF_per_cm2)"
legend_algebraic[63] = "ina in component I_Na (pA_per_pF)"
legend_algebraic[70] = "ical in component I_CaL (pA_per_pF)"
legend_algebraic[72] = "icat in component I_CaT (pA_per_pF)"
legend_algebraic[73] = "ib in component I_b (pA_per_pF)"
legend_algebraic[74] = "iherg in component I_HERG (pA_per_pF)"
legend_algebraic[75] = "ikcnq1 in component I_KCNQ1 (pA_per_pF)"
legend_algebraic[76] = "ikcnq4 in component I_KCNQ4 (pA_per_pF)"
legend_algebraic[77] = "ikcnq5 in component I_KCNQ5 (pA_per_pF)"
legend_algebraic[78] = "ik1 in component I_K1 (pA_per_pF)"
legend_algebraic[79] = "ik2 in component I_K2 (pA_per_pF)"
legend_algebraic[80] = "ika in component I_Ka (pA_per_pF)"
legend_algebraic[81] = "iBKa in component I_BKa (pA_per_pF)"
legend_algebraic[82] = "iBKab in component I_BKab (pA_per_pF)"
legend_algebraic[83] = "ih in component I_h (pA_per_pF)"
legend_algebraic[84] = "icl in component I_Cl (pA_per_pF)"
legend_algebraic[88] = "insna in component I_ns (pA_per_pF)"
legend_algebraic[85] = "insca in component I_ns (pA_per_pF)"
legend_algebraic[90] = "insk in component I_ns (pA_per_pF)"
legend_algebraic[92] = "inak in component I_NaK (pA_per_pF)"
legend_algebraic[101] = "inaca in component I_NaCa (pA_per_pF)"
legend_algebraic[105] = "J_tot in component Ca_Concentrations (mM_per_msec)"
legend_algebraic[87] = "J_Ca_mem in component Ca_Concentrations (mM_per_msec)"
legend_states[1] = "cai in component Ca_Concentrations (mM)"
legend_algebraic[100] = "jnaca in component J_NaCa (mM_per_msec)"
legend_algebraic[102] = "jpmca in component J_PMCA (mM_per_msec)"
legend_constants[68] = "buff in component parameters (dimensionless)"
legend_constants[69] = "AV in component parameters (cm2_per_uL)"
legend_constants[70] = "zca in component parameters (dimensionless)"
legend_constants[72] = "frdy in component parameters (coulomb_per_mole)"
legend_algebraic[89] = "jcamem_plot in component Ca_Concentrations (M_per_msec)"
legend_algebraic[106] = "jpmca_plot in component Ca_Concentrations (M_per_msec)"
legend_algebraic[103] = "jnaca_plot in component Ca_Concentrations (M_per_msec)"
legend_constants[4] = "conversion in component Ca_Concentrations (mM_to_M)"
legend_constants[11] = "ki in component parameters (mM)"
legend_constants[59] = "nai in component parameters (mM)"
legend_constants[62] = "cli in component parameters (mM)"
legend_constants[63] = "ko in component parameters (mM)"
legend_constants[12] = "cao in component parameters (mM)"
legend_constants[64] = "nao in component parameters (mM)"
legend_constants[66] = "clo in component parameters (mM)"
legend_constants[13] = "mgo in component parameters (mM)"
legend_constants[14] = "zna in component parameters (dimensionless)"
legend_constants[15] = "zk in component parameters (dimensionless)"
legend_constants[71] = "R in component parameters (joule_per_kelvin_per_kilomole)"
legend_constants[74] = "temp in component parameters (kelvin)"
legend_constants[16] = "gna in component parameters (nS_per_pF)"
legend_constants[17] = "gcal in component parameters (nS_per_pF)"
legend_constants[18] = "ecal in component parameters (mV)"
legend_constants[19] = "kmca in component parameters (mM)"
legend_constants[20] = "gcat in component parameters (nS_per_pF)"
legend_constants[21] = "ecat in component parameters (mV)"
legend_constants[22] = "gkca in component parameters (nS_per_pF)"
legend_constants[23] = "gb in component parameters (nS_per_pF)"
legend_constants[24] = "gk1 in component parameters (nS_per_pF)"
legend_constants[25] = "gk2 in component parameters (nS_per_pF)"
legend_constants[26] = "gbka in component parameters (dimensionless)"
legend_constants[27] = "gbkab in component parameters (dimensionless)"
legend_constants[28] = "gka in component parameters (nS_per_pF)"
legend_constants[29] = "gkq1 in component parameters (nS_per_pF)"
legend_constants[30] = "gkq4 in component parameters (nS_per_pF)"
legend_constants[31] = "gkq5 in component parameters (nS_per_pF)"
legend_constants[32] = "gherg in component parameters (nS_per_pF)"
legend_constants[33] = "gcl in component parameters (nS_per_pF)"
legend_constants[34] = "gh in component parameters (nS_per_pF)"
legend_constants[35] = "gns in component parameters (nS_per_pF)"
legend_constants[36] = "PnsK in component parameters (dimensionless)"
legend_constants[37] = "PnsNa in component parameters (dimensionless)"
legend_constants[38] = "PnsCa in component parameters (dimensionless)"
legend_constants[39] = "PnsCs in component parameters (dimensionless)"
legend_constants[40] = "gnsCa in component parameters (dimensionless)"
legend_constants[41] = "gnsNa in component parameters (dimensionless)"
legend_constants[42] = "gnsK in component parameters (dimensionless)"
legend_constants[43] = "gnsCs in component parameters (dimensionless)"
legend_constants[75] = "ginak in component parameters (pA_per_pF)"
legend_constants[80] = "nakKmko in component parameters (mM)"
legend_constants[82] = "nakKmnai in component parameters (mM)"
legend_constants[76] = "PK in component parameters (dimensionless)"
legend_constants[81] = "PNa in component parameters (dimensionless)"
legend_constants[44] = "Jpmca in component parameters (mM_per_msec)"
legend_constants[45] = "Kmpmca in component parameters (mM)"
legend_constants[46] = "npmca in component parameters (dimensionless)"
legend_constants[84] = "Jnaca in component parameters (mM_per_msec)"
legend_constants[47] = "Kmallo in component parameters (mM)"
legend_constants[48] = "nallo in component parameters (dimensionless)"
legend_constants[85] = "ksat in component parameters (dimensionless)"
legend_constants[86] = "xgamma in component parameters (dimensionless)"
legend_constants[49] = "Kmnai in component parameters (mM)"
legend_constants[50] = "Kmcai in component parameters (mM)"
legend_constants[51] = "Kmnao in component parameters (mM)"
legend_constants[52] = "Kmcao in component parameters (mM)"
legend_constants[53] = "Fmax in component parameters (uN)"
legend_constants[54] = "FKm in component parameters (nM)"
legend_constants[55] = "Fn in component parameters (dimensionless)"
legend_algebraic[28] = "vFRT in component parameters (dimensionless)"
legend_constants[77] = "ena in component parameters (mV)"
legend_constants[78] = "ek in component parameters (mV)"
legend_constants[83] = "eh in component parameters (mV)"
legend_constants[79] = "ecl in component parameters (mV)"
legend_algebraic[58] = "enscc in component parameters (mV)"
legend_algebraic[1] = "wss in component Ca_dependent_Force (dimensionless)"
legend_algebraic[29] = "wtc in component Ca_dependent_Force (msec)"
legend_constants[5] = "conversion in component Ca_dependent_Force (nM_to_mM)"
legend_algebraic[2] = "Force in component Ca_dependent_Force (uN)"
legend_states[2] = "w in component Ca_dependent_Force (dimensionless)"
legend_algebraic[3] = "mss in component I_Na (dimensionless)"
legend_algebraic[4] = "hss in component I_Na (dimensionless)"
legend_algebraic[30] = "mtc in component I_Na (msec)"
legend_algebraic[31] = "htc in component I_Na (msec)"
legend_states[3] = "m in component I_Na (dimensionless)"
legend_states[4] = "h in component I_Na (dimensionless)"
legend_algebraic[5] = "dss in component I_CaL (dimensionless)"
legend_algebraic[6] = "fss in component I_CaL (dimensionless)"
legend_algebraic[68] = "fca in component I_CaL (dimensionless)"
legend_algebraic[32] = "dtc in component I_CaL (msec)"
legend_constants[56] = "f1tc in component I_CaL (msec)"
legend_algebraic[33] = "f2tc in component I_CaL (msec)"
legend_states[5] = "d in component I_CaL (dimensionless)"
legend_states[6] = "f1 in component I_CaL (dimensionless)"
legend_states[7] = "f2 in component I_CaL (dimensionless)"
legend_algebraic[7] = "bss in component I_CaT (dimensionless)"
legend_algebraic[8] = "gss in component I_CaT (dimensionless)"
legend_algebraic[34] = "btc in component I_CaT (msec)"
legend_algebraic[35] = "gtc in component I_CaT (msec)"
legend_states[8] = "b in component I_CaT (dimensionless)"
legend_states[9] = "g in component I_CaT (dimensionless)"
legend_algebraic[9] = "hnss in component I_HERG (dimensionless)"
legend_algebraic[10] = "hsss in component I_HERG (dimensionless)"
legend_algebraic[36] = "hn1tc in component I_HERG (msec)"
legend_algebraic[37] = "hn2tc in component I_HERG (msec)"
legend_algebraic[38] = "hstc in component I_HERG (msec)"
legend_states[10] = "hn1 in component I_HERG (dimensionless)"
legend_states[11] = "hn2 in component I_HERG (dimensionless)"
legend_states[12] = "hs in component I_HERG (dimensionless)"
legend_algebraic[11] = "nq1ss in component I_KCNQ1 (dimensionless)"
legend_algebraic[12] = "wq1ss in component I_KCNQ1 (dimensionless)"
legend_algebraic[13] = "sq1ss in component I_KCNQ1 (dimensionless)"
legend_algebraic[39] = "nq1ftc in component I_KCNQ1 (msec)"
legend_algebraic[40] = "nq1stc in component I_KCNQ1 (msec)"
legend_algebraic[41] = "wq1tc in component I_KCNQ1 (msec)"
legend_constants[57] = "sq1tc in component I_KCNQ1 (msec)"
legend_states[13] = "nq1f in component I_KCNQ1 (dimensionless)"
legend_states[14] = "nq1s in component I_KCNQ1 (dimensionless)"
legend_states[15] = "wq1 in component I_KCNQ1 (dimensionless)"
legend_states[16] = "sq1 in component I_KCNQ1 (dimensionless)"
legend_algebraic[14] = "nq4ss in component I_KCNQ4 (dimensionless)"
legend_algebraic[15] = "sq4ss in component I_KCNQ4 (dimensionless)"
legend_algebraic[42] = "nq4tc in component I_KCNQ4 (msec)"
legend_algebraic[43] = "sq4tc in component I_KCNQ4 (msec)"
legend_states[17] = "nq4 in component I_KCNQ4 (dimensionless)"
legend_states[18] = "sq4 in component I_KCNQ4 (dimensionless)"
legend_algebraic[16] = "nq5ss in component I_KCNQ5 (dimensionless)"
legend_algebraic[17] = "wq5ss in component I_KCNQ5 (dimensionless)"
legend_algebraic[18] = "sq5ss in component I_KCNQ5 (dimensionless)"
legend_algebraic[44] = "nq5ftc in component I_KCNQ5 (msec)"
legend_constants[58] = "nq5stc in component I_KCNQ5 (msec)"
legend_algebraic[45] = "wq5tc in component I_KCNQ5 (msec)"
legend_algebraic[46] = "sq5tc in component I_KCNQ5 (msec)"
legend_states[19] = "nq5f in component I_KCNQ5 (dimensionless)"
legend_states[20] = "nq5s in component I_KCNQ5 (dimensionless)"
legend_states[21] = "wq5 in component I_KCNQ5 (dimensionless)"
legend_states[22] = "sq5 in component I_KCNQ5 (dimensionless)"
legend_algebraic[19] = "qss in component I_K1 (dimensionless)"
legend_algebraic[20] = "rss in component I_K1 (dimensionless)"
legend_algebraic[47] = "qtc in component I_K1 (msec)"
legend_algebraic[48] = "r1tc in component I_K1 (msec)"
legend_algebraic[49] = "r2tc in component I_K1 (msec)"
legend_states[23] = "q in component I_K1 (dimensionless)"
legend_states[24] = "r1 in component I_K1 (dimensionless)"
legend_states[25] = "r2 in component I_K1 (dimensionless)"
legend_algebraic[21] = "pss in component I_K2 (dimensionless)"
legend_algebraic[22] = "kss in component I_K2 (dimensionless)"
legend_algebraic[50] = "ptc in component I_K2 (msec)"
legend_algebraic[51] = "k1tc in component I_K2 (msec)"
legend_algebraic[52] = "k2tc in component I_K2 (msec)"
legend_states[26] = "p in component I_K2 (dimensionless)"
legend_states[27] = "k1 in component I_K2 (dimensionless)"
legend_states[28] = "k2 in component I_K2 (dimensionless)"
legend_algebraic[23] = "sss in component I_Ka (dimensionless)"
legend_algebraic[24] = "xss in component I_Ka (dimensionless)"
legend_algebraic[53] = "stc in component I_Ka (msec)"
legend_algebraic[54] = "xtc in component I_Ka (msec)"
legend_states[29] = "s in component I_Ka (dimensionless)"
legend_states[30] = "x in component I_Ka (dimensionless)"
legend_algebraic[25] = "xass_z in component I_BKa (dimensionless)"
legend_algebraic[55] = "xass_vh in component I_BKa (mV)"
legend_constants[6] = "conversion in component I_BKa (mM_to_M)"
legend_algebraic[59] = "xass in component I_BKa (dimensionless)"
legend_algebraic[64] = "xatc in component I_BKa (msec)"
legend_states[31] = "xa in component I_BKa (dimensionless)"
legend_algebraic[26] = "xabss_z in component I_BKab (dimensionless)"
legend_algebraic[56] = "xabss_vh in component I_BKab (mV)"
legend_constants[7] = "conversion in component I_BKab (mM_to_M)"
legend_algebraic[60] = "xabss in component I_BKab (dimensionless)"
legend_algebraic[65] = "xabtc in component I_BKab (msec)"
legend_states[32] = "xab in component I_BKab (dimensionless)"
legend_algebraic[27] = "yss in component I_h (dimensionless)"
legend_algebraic[66] = "ytc in component I_h (msec)"
legend_algebraic[57] = "ya in component I_h (per_msec)"
legend_algebraic[61] = "yb in component I_h (per_msec)"
legend_states[33] = "y in component I_h (dimensionless)"
legend_algebraic[69] = "css in component I_Cl (dimensionless)"
legend_algebraic[71] = "ctc in component I_Cl (msec)"
legend_algebraic[62] = "K1cl in component I_Cl (mM)"
legend_algebraic[67] = "K2cl in component I_Cl (dimensionless)"
legend_states[34] = "c in component I_Cl (dimensionless)"
legend_constants[60] = "fmg in component I_ns (dimensionless)"
legend_constants[67] = "gs_nao in component I_ns (dimensionless)"
legend_constants[61] = "gs_cao in component I_ns (dimensionless)"
legend_constants[65] = "gs_ko in component I_ns (dimensionless)"
legend_constants[8] = "tinyamount in component I_ns (mM)"
legend_algebraic[91] = "fnak in component I_NaK (dimensionless)"
legend_constants[87] = "knak in component I_NaK (dimensionless)"
legend_constants[88] = "nnak in component I_NaK (dimensionless)"
legend_constants[9] = "inaca_sign in component I_NaCa (dimensionless)"
legend_algebraic[93] = "f1naca in component J_NaCa (dimensionless)"
legend_algebraic[94] = "f2naca in component J_NaCa (dimensionless)"
legend_algebraic[95] = "fallo in component J_NaCa (dimensionless)"
legend_algebraic[96] = "naca_Eup in component J_NaCa (mM4)"
legend_algebraic[97] = "naca_Ed1 in component J_NaCa (dimensionless)"
legend_algebraic[98] = "naca_Ed2 in component J_NaCa (mM4)"
legend_algebraic[99] = "naca_Ed3 in component J_NaCa (mM4)"
legend_constants[10] = "jnaca_sign in component J_NaCa (dimensionless)"
legend_rates[0] = "d/dt v in component membrane_potential (mV)"
legend_rates[1] = "d/dt cai in component Ca_Concentrations (mM)"
legend_rates[2] = "d/dt w in component Ca_dependent_Force (dimensionless)"
legend_rates[3] = "d/dt m in component I_Na (dimensionless)"
legend_rates[4] = "d/dt h in component I_Na (dimensionless)"
legend_rates[5] = "d/dt d in component I_CaL (dimensionless)"
legend_rates[6] = "d/dt f1 in component I_CaL (dimensionless)"
legend_rates[7] = "d/dt f2 in component I_CaL (dimensionless)"
legend_rates[8] = "d/dt b in component I_CaT (dimensionless)"
legend_rates[9] = "d/dt g in component I_CaT (dimensionless)"
legend_rates[10] = "d/dt hn1 in component I_HERG (dimensionless)"
legend_rates[11] = "d/dt hn2 in component I_HERG (dimensionless)"
legend_rates[12] = "d/dt hs in component I_HERG (dimensionless)"
legend_rates[13] = "d/dt nq1f in component I_KCNQ1 (dimensionless)"
legend_rates[14] = "d/dt nq1s in component I_KCNQ1 (dimensionless)"
legend_rates[15] = "d/dt wq1 in component I_KCNQ1 (dimensionless)"
legend_rates[16] = "d/dt sq1 in component I_KCNQ1 (dimensionless)"
legend_rates[17] = "d/dt nq4 in component I_KCNQ4 (dimensionless)"
legend_rates[18] = "d/dt sq4 in component I_KCNQ4 (dimensionless)"
legend_rates[19] = "d/dt nq5f in component I_KCNQ5 (dimensionless)"
legend_rates[20] = "d/dt nq5s in component I_KCNQ5 (dimensionless)"
legend_rates[21] = "d/dt wq5 in component I_KCNQ5 (dimensionless)"
legend_rates[22] = "d/dt sq5 in component I_KCNQ5 (dimensionless)"
legend_rates[23] = "d/dt q in component I_K1 (dimensionless)"
legend_rates[24] = "d/dt r1 in component I_K1 (dimensionless)"
legend_rates[25] = "d/dt r2 in component I_K1 (dimensionless)"
legend_rates[26] = "d/dt p in component I_K2 (dimensionless)"
legend_rates[27] = "d/dt k1 in component I_K2 (dimensionless)"
legend_rates[28] = "d/dt k2 in component I_K2 (dimensionless)"
legend_rates[29] = "d/dt s in component I_Ka (dimensionless)"
legend_rates[30] = "d/dt x in component I_Ka (dimensionless)"
legend_rates[31] = "d/dt xa in component I_BKa (dimensionless)"
legend_rates[32] = "d/dt xab in component I_BKab (dimensionless)"
legend_rates[33] = "d/dt y in component I_h (dimensionless)"
legend_rates[34] = "d/dt c in component I_Cl (dimensionless)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
constants[0] = 0
constants[1] = -0.25
constants[2] = 1000
constants[3] = 50000
states[0] = -50.80774403486136
states[1] = 0.0001235555354004079
constants[4] = 1000
constants[5] = 1e-6
states[2] = 0.2768302028689621
states[3] = 0.166998688814229
states[4] = 0.3156075507278521
states[5] = 0.01605749091924106
states[6] = 0.861723329545759
states[7] = 0.8617233295451014
states[8] = 0.5857399935992883
states[9] = 0.02817518341064734
states[10] = 0.02498997383730429
states[11] = 0.02498997383730429
states[12] = 0.5292140214748325
states[13] = 0.09043683263784785
states[14] = 0.09043683263784785
states[15] = 0.9230513956601629
states[16] = 0.7426740827665872
states[17] = 0.1081102112425531
states[18] = 0.6280622663818354
states[19] = 0.2618890409031491
states[20] = 0.2618890409031491
states[21] = 0.9230513956601629
states[22] = 0.6280622663818354
states[23] = 0.22560249352574
states[24] = 0.1261674553968813
states[25] = 0.1261674420211442
states[26] = 0.1358747732875166
states[27] = 0.9944827384537837
states[28] = 0.9944827384537837
states[29] = 0.04562272513582834
states[30] = 0.06162789823439722
constants[6] = 1000.0
states[31] = 0.0003575122973592095
constants[7] = 1000.0
states[32] = 0.002673927875795617
states[33] = 0.001821587846781853
states[34] = 0.0006695090454068198
constants[8] = 1e-8
constants[9] = -1
constants[10] = -1
constants[11] = 140.000
constants[12] = 2.50000
constants[13] = 0.500000
constants[14] = 1.00000
constants[15] = 1.00000
constants[16] = 0.00000
constants[17] = 0.600000
constants[18] = 45.0000
constants[19] = 0.00100000
constants[20] = 0.0580000
constants[21] = 42.0000
constants[22] = 0.800000
constants[23] = 0.00000
constants[24] = 0.240000
constants[25] = 0.0320000
constants[26] = 0.200000
constants[27] = 0.100000
constants[28] = 0.160000
constants[29] = 0.00320000
constants[30] = 0.0240000
constants[31] = 0.0160000
constants[32] = 0.0800000
constants[33] = 0.187500
constants[34] = 0.0542000
constants[35] = 0.0123000
constants[36] = 1.30000
constants[37] = 0.900000
constants[38] = 0.890000
constants[39] = 1.00000
constants[40] = 0.500000
constants[41] = 1.00000
constants[42] = 1.19000
constants[43] = 1.60000
constants[44] = 3.50000e-07
constants[45] = 0.000500000
constants[46] = 2.00000
constants[47] = 0.000300000
constants[48] = 4.00000
constants[49] = 30.0000
constants[50] = 0.00700000
constants[51] = 87.5000
constants[52] = 1.30000
constants[53] = 3.00000
constants[54] = 161.301
constants[55] = 3.60205
constants[56] = 12.0000
constants[57] = 50000.0
constants[58] = 1000.00
constants[59] = 4.00000
constants[60] = 0.108043+0.903902/(1.00000+power(constants[13]/0.281007, 1.29834))
constants[61] = ((1.00000/0.000525000)*0.0300000)/(1.00000+power(150.000/(constants[12]+constants[8]), 2.00000))
constants[62] = 46.0000
constants[63] = 6.00000
constants[64] = 130.000
constants[65] = ((1.00000/0.0123000)*0.0300000)/(1.00000+power(150.000/(constants[63]+constants[8]), 2.00000))
constants[66] = 130.000
constants[67] = ((1.00000/0.0123000)*0.0300000)/(1.00000+power(150.000/(constants[64]+constants[8]), 2.00000))
constants[68] = 0.0150000
constants[69] = 4.00000
constants[70] = 2.00000
constants[71] = 8314.00
constants[72] = 96485.0
constants[73] = 1.00000
constants[74] = 308.000
constants[75] = 1.70000
constants[76] = 1.00000
constants[77] = ((constants[71]*constants[74])/constants[72])*log(constants[64]/constants[59])
constants[78] = ((constants[71]*constants[74])/constants[72])*log(constants[63]/constants[11])
constants[79] = ((constants[71]*constants[74])/constants[72])*log(constants[62]/constants[66])
constants[80] = 2.00000
constants[81] = 0.350000
constants[82] = 22.0000
constants[83] = ((constants[71]*constants[74])/constants[72])*log((constants[63]+(constants[81]/constants[76])*constants[64])/(constants[11]+(constants[81]/constants[76])*constants[59]))
constants[84] = 3.50000e-06
constants[85] = 0.270000
constants[86] = 0.350000
constants[87] = 1.00000/(1.00000+power(constants[80]/constants[63], 1.50000))
constants[88] = 1.00000/(1.00000+power(constants[82]/constants[59], 2.00000))
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
algebraic[6] = 1.00000/(1.00000+exp((states[0]+38.0000)/7.00000))
rates[6] = (algebraic[6]-states[6])/constants[56]
algebraic[13] = 0.340000+0.660000/(1.00000+exp((states[0]+45.3000)/12.3000))
rates[16] = (algebraic[13]-states[16])/constants[57]
algebraic[16] = 1.00000/(1.00000+exp(-(states[0]+36.5500)/13.7600))
rates[20] = (algebraic[16]-states[20])/constants[58]
algebraic[1] = 1.00000/(1.00000+power((constants[54]*constants[5])/states[1], constants[55]))
algebraic[29] = 4000.00*(0.234845+(1.00000-0.234845)/(1.00000+power(states[1]/(constants[54]*constants[5]), constants[55])))
rates[2] = (algebraic[1]-states[2])/algebraic[29]
algebraic[3] = 1.00000/(1.00000+exp(-(states[0]+35.9584)/9.24013))
algebraic[30] = 0.250000+7.00000/(1.00000+exp((states[0]+38.0000)/10.0000))
rates[3] = (algebraic[3]-states[3])/algebraic[30]
algebraic[4] = 1.00000/(1.00000+exp((states[0]+57.0000)/8.00000))
algebraic[31] = 0.900000+1002.85/(1.00000+power((states[0]+47.5000)/1.50000, 2.00000))
rates[4] = (algebraic[4]-states[4])/algebraic[31]
algebraic[5] = 1.00000/(1.00000+exp(-(states[0]+22.0000)/7.00000))
algebraic[32] = 2.29000+5.70000/(1.00000+power((states[0]+29.9700)/9.00000, 2.00000))
rates[5] = (algebraic[5]-states[5])/algebraic[32]
algebraic[33] = 90.9699*(1.00000-1.00000/((1.00000+exp((states[0]+13.9629)/45.3782))*(1.00000+exp(-(states[0]+9.49866)/3.39450))))
rates[7] = (algebraic[6]-states[7])/algebraic[33]
algebraic[7] = 1.00000/(1.00000+exp(-(states[0]+54.2300)/9.88000))
algebraic[34] = 0.450000+3.90000/(1.00000+power((states[0]+66.0000)/26.0000, 2.00000))
rates[8] = (algebraic[7]-states[8])/algebraic[34]
algebraic[8] = 0.0200000+0.980000/(1.00000+exp((states[0]+72.9780)/4.64000))
algebraic[35] = 150.000*(1.00000-1.00000/((1.00000+exp((states[0]-417.430)/203.180))*(1.00000+exp(-(states[0]+61.1100)/8.07000))))
rates[9] = (algebraic[8]-states[9])/algebraic[35]
algebraic[9] = 1.00000/(1.00000+exp(-(states[0]+16.0000)/9.50000))
algebraic[36] = 46.0999+1685.76/((1.00000+exp(-(states[0]+40.8489)/13.7802))*(1.00000+exp((states[0]+20.6372)/15.1113)))
rates[10] = (algebraic[9]-states[10])/algebraic[36]
algebraic[37] = 475.667+16321.6/((1.00000+exp(-(states[0]+41.8328)/6.96673))*(1.00000+exp((states[0]+23.2432)/21.2949)))
rates[11] = (algebraic[9]-states[11])/algebraic[37]
algebraic[10] = 1.00000/(1.00000+exp((states[0]+48.0000)/24.0000))
algebraic[38] = 19.7864/(1.00000+power((states[0]+20.7136)/44.2868, 2.00000))-0.378843
rates[12] = (algebraic[10]-states[12])/algebraic[38]
algebraic[11] = 1.00000/(1.00000+exp(-(states[0]+22.0000)/12.4800))
algebraic[39] = 395.300/(1.00000+power((states[0]+38.1000)/33.5900, 2.00000))
rates[13] = (algebraic[11]-states[13])/algebraic[39]
algebraic[40] = (5503.00+5345.40/(1.00000+power(10.0000, (-23.9000-states[0])*-0.0282700)))-4590.60/(1.00000+power(10.0000, (states[0]+14.1500)*-0.0357000))
rates[14] = (algebraic[11]-states[14])/algebraic[40]
algebraic[12] = 0.490000+0.510000/(1.00000+exp((states[0]+1.08400)/28.7800))
algebraic[41] = 5.44000+29.2000/(1.00000+power((states[0]+48.0900)/48.8300, 2.00000))
rates[15] = (algebraic[12]-states[15])/algebraic[41]
algebraic[14] = 1.00000/(1.00000+exp(-(states[0]+15.0400)/16.9500))
algebraic[42] = 10.0000+895.900/(1.00000+exp((-18.0100-states[0])/31.0400))
rates[17] = (algebraic[14]-states[17])/algebraic[42]
algebraic[15] = 0.405800/(1.00000+exp((states[0]+86.8400)/15.0500))+0.594200/(1.00000+exp((states[0]-70.1300)/13.3700))
algebraic[43] = 1077.00+185845./(1.00000+power((states[0]-39.4400)/7.34400, 2.00000))
rates[18] = (algebraic[15]-states[18])/algebraic[43]
algebraic[44] = 37.5100+539.000/(1.00000+power((states[0]+40.2400)/17.7200, 2.00000))
rates[19] = (algebraic[16]-states[19])/algebraic[44]
algebraic[17] = 0.490000+0.510000/(1.00000+exp((states[0]+1.08400)/28.7800))
algebraic[45] = 5.44000+29.2000/(1.00000+power((states[0]+48.0900)/48.8300, 2.00000))
rates[21] = (algebraic[17]-states[21])/algebraic[45]
algebraic[18] = 0.405800/(1.00000+exp((states[0]+86.8400)/15.0500))+0.594200/(1.00000+exp((states[0]-70.1300)/13.3700))
algebraic[46] = 1077.00+185845./(1.00000+power((states[0]-39.4400)/7.34400, 2.00000))
rates[22] = (algebraic[18]-states[22])/algebraic[46]
algebraic[19] = 0.978613/(1.00000+exp(-(states[0]+18.6736)/26.6606))
algebraic[47] = 500.000/(1.00000+power((states[0]+60.7100)/15.7900, 2.00000))
rates[23] = (algebraic[19]-states[23])/algebraic[47]
algebraic[20] = 1.00000/(1.00000+exp((states[0]+63.0000)/6.30000))
algebraic[48] = 5000.00/(1.00000+power((states[0]+62.7133)/35.8611, 2.00000))
rates[24] = (algebraic[20]-states[24])/algebraic[48]
algebraic[49] = 30000.0+220000./(1.00000+exp((states[0]+22.0000)/4.00000))
rates[25] = (algebraic[20]-states[25])/algebraic[49]
algebraic[21] = 0.948000/(1.00000+exp(-(states[0]+17.9100)/18.4000))
algebraic[50] = 100.000/(1.00000+power((states[0]+64.1000)/28.6700, 2.00000))
rates[26] = (algebraic[21]-states[26])/algebraic[50]
algebraic[22] = 1.00000/(1.00000+exp((states[0]+21.2000)/5.70000))
algebraic[51] = 1.00000e+06*(1.00000-1.00000/((1.00000+exp((states[0]-315.000)/50.0000))*(1.00000+exp(-(states[0]+74.9000)/8.00000))))
rates[27] = (algebraic[22]-states[27])/algebraic[51]
algebraic[52] = 2.50000e+06*(1.00000-1.00000/((1.00000+exp((states[0]-132.868)/25.3992))*(1.00000+exp(-(states[0]+24.9203)/2.67915))))
rates[28] = (algebraic[22]-states[28])/algebraic[52]
algebraic[23] = 1.00000/(1.00000+exp(-(states[0]+27.7900)/7.57000))
algebraic[53] = 17.0000/(1.00000+power((states[0]+20.5232)/35.0000, 2.00000))
rates[29] = (algebraic[23]-states[29])/algebraic[53]
algebraic[24] = 0.0200000+0.980000/(1.00000+exp((states[0]+69.5000)/6.00000))
algebraic[54] = 7.50000+10.0000/(1.00000+power((states[0]+34.1765)/120.000, 2.00000))
rates[30] = (algebraic[24]-states[30])/algebraic[54]
algebraic[25] = -0.749234/(1.00000+power((states[1]*constants[6]-0.0630535)/0.161942, 2.00000))+8.38384/(1.00000+power((states[1]*constants[6]+1538.29)/739.057, 2.00000))
algebraic[55] = 5011.47/(1.00000+power((states[1]*constants[6]+0.237503)/0.000239278, 0.422910))-37.5137
algebraic[59] = 1.00000/(1.00000+exp((-algebraic[25]*constants[72]*(states[0]-algebraic[55]))/(constants[71]*constants[74])))
algebraic[64] = 2.40914/(1.00000+power((states[0]-158.779)/-52.1497, 2.00000))
rates[31] = (algebraic[59]-states[31])/algebraic[64]
algebraic[26] = -0.681249/(1.00000+power((states[1]*constants[7]-0.218988)/0.428335, 2.00000))+1.40001/(1.00000+power((states[1]*constants[7]+228.710)/684.946, 2.00000))
algebraic[56] = 8540.23/(1.00000+power((states[1]*constants[7]+0.401189)/0.00399115, 0.668054))-109.275
algebraic[60] = 1.00000/(1.00000+exp((-algebraic[26]*constants[72]*(states[0]-algebraic[56]))/(constants[71]*constants[74])))
algebraic[65] = 13.8049/(1.00000+power((states[0]-153.019)/66.4952, 2.00000))
rates[32] = (algebraic[60]-states[32])/algebraic[65]
algebraic[27] = 1.00000/(1.00000+exp((states[0]+105.390)/8.65530))
algebraic[57] = 3.50000e-06*exp(-0.0497000*states[0])
algebraic[61] = 0.0400300*exp(0.0521100*states[0])
algebraic[66] = 1.00000/(algebraic[57]+algebraic[61])
rates[33] = (algebraic[27]-states[33])/algebraic[66]
algebraic[28] = (states[0]*constants[72])/(constants[71]*constants[74])
algebraic[62] = 0.000600000*exp(2.53000*algebraic[28])
algebraic[67] = 0.100000*exp(-5.00000*algebraic[28])
algebraic[69] = 1.00000/(1.00000+algebraic[67]*(power(algebraic[62]/states[1], 2.00000)+algebraic[62]/states[1]+1.00000))
algebraic[71] = -160.000+210.000/(1.00000+exp((states[0]+4.56000)/11.6200))+170.000/(1.00000+exp(-(states[0]+25.5000)/11.6200))
rates[34] = (algebraic[69]-states[34])/algebraic[71]
algebraic[0] = custom_piecewise([greater(voi , constants[2]) & less(voi , constants[3]), constants[1] , True, constants[0]])
algebraic[63] = constants[16]*states[3]*states[3]*states[3]*states[4]*(states[0]-constants[77])
algebraic[68] = 1.00000/(1.00000+power(states[1]/constants[19], 4.00000))
algebraic[70] = constants[17]*algebraic[68]*states[5]*states[5]*(0.800000*states[6]+0.200000*states[7])*(states[0]-constants[18])
algebraic[72] = constants[20]*states[8]*states[8]*states[9]*(states[0]-constants[21])
algebraic[73] = constants[23]*(states[0]-constants[78])
algebraic[74] = constants[32]*(0.800000*states[10]+0.200000*states[11])*states[12]*(states[0]-constants[78])
algebraic[75] = constants[29]*(0.300000*states[13]+0.700000*states[14])*states[15]*states[16]*(states[0]-constants[78])
algebraic[76] = constants[30]*states[17]*states[18]*(states[0]-constants[78])
algebraic[77] = constants[31]*(0.200000*states[19]+0.800000*states[20])*states[21]*states[22]*(states[0]-constants[78])
algebraic[78] = constants[24]*states[23]*states[23]*(0.380000*states[24]+0.630000*states[25])*(states[0]-constants[78])
algebraic[79] = constants[25]*states[26]*states[26]*(0.750000*states[27]+0.250000*states[28])*(states[0]-constants[78])
algebraic[80] = constants[28]*states[29]*states[30]*(states[0]-constants[78])
algebraic[81] = constants[22]*constants[26]*states[31]*(states[0]-constants[78])
algebraic[82] = constants[22]*constants[27]*states[32]*(states[0]-constants[78])
algebraic[83] = constants[34]*states[33]*(states[0]-constants[83])
algebraic[84] = constants[33]*states[34]*(states[0]-constants[79])
algebraic[58] = ((constants[71]*constants[74])/constants[72])*log((constants[36]*constants[63]+constants[37]*constants[64]+(4.00000*constants[38]*constants[12])/(1.00000+exp(algebraic[28])))/(constants[36]*constants[11]+constants[37]*constants[59]+(4.00000*constants[38]*states[1])/(1.00000+exp(algebraic[28]))))
algebraic[88] = constants[60]*constants[67]*constants[41]*constants[35]*(states[0]-algebraic[58])
algebraic[85] = constants[60]*constants[61]*constants[40]*constants[35]*(states[0]-algebraic[58])
algebraic[90] = constants[60]*constants[65]*constants[42]*constants[35]*(states[0]-algebraic[58])
algebraic[91] = 1.00000/(1.00000+0.124500*exp(-0.100000*algebraic[28])+0.00219000*exp(constants[64]/49.7100)*exp(-1.90000*algebraic[28]))
algebraic[92] = constants[75]*constants[87]*constants[88]*algebraic[91]
algebraic[95] = 1.00000/(1.00000+power(constants[47]/states[1], constants[48]))
algebraic[93] = exp((constants[86]-1.00000)*algebraic[28])
algebraic[94] = exp(constants[86]*algebraic[28])
algebraic[96] = (power(constants[59], 3.00000))*constants[12]*algebraic[94]-(power(constants[64], 3.00000))*states[1]*algebraic[93]
algebraic[97] = 1.00000+constants[85]*algebraic[93]
algebraic[98] = constants[52]*(power(constants[59], 3.00000))+(power(constants[51], 3.00000))*states[1]+(power(constants[49], 3.00000))*constants[12]*(1.00000+states[1]/constants[50])
algebraic[99] = constants[12]*(power(constants[59], 3.00000))+(power(constants[64], 3.00000))*states[1]+(power(constants[64], 3.00000))*constants[50]*(1.00000+power(constants[59]/constants[49], 3.00000))
algebraic[100] = (constants[10]*constants[84]*algebraic[95]*algebraic[96])/(algebraic[97]*(algebraic[98]+algebraic[99]))
algebraic[101] = ((0.500000*constants[70]*constants[72])/(constants[69]*constants[73]*constants[68]))*constants[9]*algebraic[100]
algebraic[104] = algebraic[63]+algebraic[83]+algebraic[101]+algebraic[92]+algebraic[70]+algebraic[72]+algebraic[84]+algebraic[74]+algebraic[75]+algebraic[76]+algebraic[77]+algebraic[78]+algebraic[79]+algebraic[80]+algebraic[81]+algebraic[82]+algebraic[88]+algebraic[90]+algebraic[85]+algebraic[73]
rates[0] = -(algebraic[104]+algebraic[0])
algebraic[86] = algebraic[70]+algebraic[72]+algebraic[85]
algebraic[87] = ((constants[69]*constants[73]*constants[68])/(constants[70]*constants[72]))*algebraic[86]
algebraic[102] = constants[44]/(1.00000+power(constants[45]/states[1], constants[46]))
algebraic[105] = algebraic[87]+algebraic[100]+algebraic[102]
rates[1] = -algebraic[105]
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[6] = 1.00000/(1.00000+exp((states[0]+38.0000)/7.00000))
algebraic[13] = 0.340000+0.660000/(1.00000+exp((states[0]+45.3000)/12.3000))
algebraic[16] = 1.00000/(1.00000+exp(-(states[0]+36.5500)/13.7600))
algebraic[1] = 1.00000/(1.00000+power((constants[54]*constants[5])/states[1], constants[55]))
algebraic[29] = 4000.00*(0.234845+(1.00000-0.234845)/(1.00000+power(states[1]/(constants[54]*constants[5]), constants[55])))
algebraic[3] = 1.00000/(1.00000+exp(-(states[0]+35.9584)/9.24013))
algebraic[30] = 0.250000+7.00000/(1.00000+exp((states[0]+38.0000)/10.0000))
algebraic[4] = 1.00000/(1.00000+exp((states[0]+57.0000)/8.00000))
algebraic[31] = 0.900000+1002.85/(1.00000+power((states[0]+47.5000)/1.50000, 2.00000))
algebraic[5] = 1.00000/(1.00000+exp(-(states[0]+22.0000)/7.00000))
algebraic[32] = 2.29000+5.70000/(1.00000+power((states[0]+29.9700)/9.00000, 2.00000))
algebraic[33] = 90.9699*(1.00000-1.00000/((1.00000+exp((states[0]+13.9629)/45.3782))*(1.00000+exp(-(states[0]+9.49866)/3.39450))))
algebraic[7] = 1.00000/(1.00000+exp(-(states[0]+54.2300)/9.88000))
algebraic[34] = 0.450000+3.90000/(1.00000+power((states[0]+66.0000)/26.0000, 2.00000))
algebraic[8] = 0.0200000+0.980000/(1.00000+exp((states[0]+72.9780)/4.64000))
algebraic[35] = 150.000*(1.00000-1.00000/((1.00000+exp((states[0]-417.430)/203.180))*(1.00000+exp(-(states[0]+61.1100)/8.07000))))
algebraic[9] = 1.00000/(1.00000+exp(-(states[0]+16.0000)/9.50000))
algebraic[36] = 46.0999+1685.76/((1.00000+exp(-(states[0]+40.8489)/13.7802))*(1.00000+exp((states[0]+20.6372)/15.1113)))
algebraic[37] = 475.667+16321.6/((1.00000+exp(-(states[0]+41.8328)/6.96673))*(1.00000+exp((states[0]+23.2432)/21.2949)))
algebraic[10] = 1.00000/(1.00000+exp((states[0]+48.0000)/24.0000))
algebraic[38] = 19.7864/(1.00000+power((states[0]+20.7136)/44.2868, 2.00000))-0.378843
algebraic[11] = 1.00000/(1.00000+exp(-(states[0]+22.0000)/12.4800))
algebraic[39] = 395.300/(1.00000+power((states[0]+38.1000)/33.5900, 2.00000))
algebraic[40] = (5503.00+5345.40/(1.00000+power(10.0000, (-23.9000-states[0])*-0.0282700)))-4590.60/(1.00000+power(10.0000, (states[0]+14.1500)*-0.0357000))
algebraic[12] = 0.490000+0.510000/(1.00000+exp((states[0]+1.08400)/28.7800))
algebraic[41] = 5.44000+29.2000/(1.00000+power((states[0]+48.0900)/48.8300, 2.00000))
algebraic[14] = 1.00000/(1.00000+exp(-(states[0]+15.0400)/16.9500))
algebraic[42] = 10.0000+895.900/(1.00000+exp((-18.0100-states[0])/31.0400))
algebraic[15] = 0.405800/(1.00000+exp((states[0]+86.8400)/15.0500))+0.594200/(1.00000+exp((states[0]-70.1300)/13.3700))
algebraic[43] = 1077.00+185845./(1.00000+power((states[0]-39.4400)/7.34400, 2.00000))
algebraic[44] = 37.5100+539.000/(1.00000+power((states[0]+40.2400)/17.7200, 2.00000))
algebraic[17] = 0.490000+0.510000/(1.00000+exp((states[0]+1.08400)/28.7800))
algebraic[45] = 5.44000+29.2000/(1.00000+power((states[0]+48.0900)/48.8300, 2.00000))
algebraic[18] = 0.405800/(1.00000+exp((states[0]+86.8400)/15.0500))+0.594200/(1.00000+exp((states[0]-70.1300)/13.3700))
algebraic[46] = 1077.00+185845./(1.00000+power((states[0]-39.4400)/7.34400, 2.00000))
algebraic[19] = 0.978613/(1.00000+exp(-(states[0]+18.6736)/26.6606))
algebraic[47] = 500.000/(1.00000+power((states[0]+60.7100)/15.7900, 2.00000))
algebraic[20] = 1.00000/(1.00000+exp((states[0]+63.0000)/6.30000))
algebraic[48] = 5000.00/(1.00000+power((states[0]+62.7133)/35.8611, 2.00000))
algebraic[49] = 30000.0+220000./(1.00000+exp((states[0]+22.0000)/4.00000))
algebraic[21] = 0.948000/(1.00000+exp(-(states[0]+17.9100)/18.4000))
algebraic[50] = 100.000/(1.00000+power((states[0]+64.1000)/28.6700, 2.00000))
algebraic[22] = 1.00000/(1.00000+exp((states[0]+21.2000)/5.70000))
algebraic[51] = 1.00000e+06*(1.00000-1.00000/((1.00000+exp((states[0]-315.000)/50.0000))*(1.00000+exp(-(states[0]+74.9000)/8.00000))))
algebraic[52] = 2.50000e+06*(1.00000-1.00000/((1.00000+exp((states[0]-132.868)/25.3992))*(1.00000+exp(-(states[0]+24.9203)/2.67915))))
algebraic[23] = 1.00000/(1.00000+exp(-(states[0]+27.7900)/7.57000))
algebraic[53] = 17.0000/(1.00000+power((states[0]+20.5232)/35.0000, 2.00000))
algebraic[24] = 0.0200000+0.980000/(1.00000+exp((states[0]+69.5000)/6.00000))
algebraic[54] = 7.50000+10.0000/(1.00000+power((states[0]+34.1765)/120.000, 2.00000))
algebraic[25] = -0.749234/(1.00000+power((states[1]*constants[6]-0.0630535)/0.161942, 2.00000))+8.38384/(1.00000+power((states[1]*constants[6]+1538.29)/739.057, 2.00000))
algebraic[55] = 5011.47/(1.00000+power((states[1]*constants[6]+0.237503)/0.000239278, 0.422910))-37.5137
algebraic[59] = 1.00000/(1.00000+exp((-algebraic[25]*constants[72]*(states[0]-algebraic[55]))/(constants[71]*constants[74])))
algebraic[64] = 2.40914/(1.00000+power((states[0]-158.779)/-52.1497, 2.00000))
algebraic[26] = -0.681249/(1.00000+power((states[1]*constants[7]-0.218988)/0.428335, 2.00000))+1.40001/(1.00000+power((states[1]*constants[7]+228.710)/684.946, 2.00000))
algebraic[56] = 8540.23/(1.00000+power((states[1]*constants[7]+0.401189)/0.00399115, 0.668054))-109.275
algebraic[60] = 1.00000/(1.00000+exp((-algebraic[26]*constants[72]*(states[0]-algebraic[56]))/(constants[71]*constants[74])))
algebraic[65] = 13.8049/(1.00000+power((states[0]-153.019)/66.4952, 2.00000))
algebraic[27] = 1.00000/(1.00000+exp((states[0]+105.390)/8.65530))
algebraic[57] = 3.50000e-06*exp(-0.0497000*states[0])
algebraic[61] = 0.0400300*exp(0.0521100*states[0])
algebraic[66] = 1.00000/(algebraic[57]+algebraic[61])
algebraic[28] = (states[0]*constants[72])/(constants[71]*constants[74])
algebraic[62] = 0.000600000*exp(2.53000*algebraic[28])
algebraic[67] = 0.100000*exp(-5.00000*algebraic[28])
algebraic[69] = 1.00000/(1.00000+algebraic[67]*(power(algebraic[62]/states[1], 2.00000)+algebraic[62]/states[1]+1.00000))
algebraic[71] = -160.000+210.000/(1.00000+exp((states[0]+4.56000)/11.6200))+170.000/(1.00000+exp(-(states[0]+25.5000)/11.6200))
algebraic[0] = custom_piecewise([greater(voi , constants[2]) & less(voi , constants[3]), constants[1] , True, constants[0]])
algebraic[63] = constants[16]*states[3]*states[3]*states[3]*states[4]*(states[0]-constants[77])
algebraic[68] = 1.00000/(1.00000+power(states[1]/constants[19], 4.00000))
algebraic[70] = constants[17]*algebraic[68]*states[5]*states[5]*(0.800000*states[6]+0.200000*states[7])*(states[0]-constants[18])
algebraic[72] = constants[20]*states[8]*states[8]*states[9]*(states[0]-constants[21])
algebraic[73] = constants[23]*(states[0]-constants[78])
algebraic[74] = constants[32]*(0.800000*states[10]+0.200000*states[11])*states[12]*(states[0]-constants[78])
algebraic[75] = constants[29]*(0.300000*states[13]+0.700000*states[14])*states[15]*states[16]*(states[0]-constants[78])
algebraic[76] = constants[30]*states[17]*states[18]*(states[0]-constants[78])
algebraic[77] = constants[31]*(0.200000*states[19]+0.800000*states[20])*states[21]*states[22]*(states[0]-constants[78])
algebraic[78] = constants[24]*states[23]*states[23]*(0.380000*states[24]+0.630000*states[25])*(states[0]-constants[78])
algebraic[79] = constants[25]*states[26]*states[26]*(0.750000*states[27]+0.250000*states[28])*(states[0]-constants[78])
algebraic[80] = constants[28]*states[29]*states[30]*(states[0]-constants[78])
algebraic[81] = constants[22]*constants[26]*states[31]*(states[0]-constants[78])
algebraic[82] = constants[22]*constants[27]*states[32]*(states[0]-constants[78])
algebraic[83] = constants[34]*states[33]*(states[0]-constants[83])
algebraic[84] = constants[33]*states[34]*(states[0]-constants[79])
algebraic[58] = ((constants[71]*constants[74])/constants[72])*log((constants[36]*constants[63]+constants[37]*constants[64]+(4.00000*constants[38]*constants[12])/(1.00000+exp(algebraic[28])))/(constants[36]*constants[11]+constants[37]*constants[59]+(4.00000*constants[38]*states[1])/(1.00000+exp(algebraic[28]))))
algebraic[88] = constants[60]*constants[67]*constants[41]*constants[35]*(states[0]-algebraic[58])
algebraic[85] = constants[60]*constants[61]*constants[40]*constants[35]*(states[0]-algebraic[58])
algebraic[90] = constants[60]*constants[65]*constants[42]*constants[35]*(states[0]-algebraic[58])
algebraic[91] = 1.00000/(1.00000+0.124500*exp(-0.100000*algebraic[28])+0.00219000*exp(constants[64]/49.7100)*exp(-1.90000*algebraic[28]))
algebraic[92] = constants[75]*constants[87]*constants[88]*algebraic[91]
algebraic[95] = 1.00000/(1.00000+power(constants[47]/states[1], constants[48]))
algebraic[93] = exp((constants[86]-1.00000)*algebraic[28])
algebraic[94] = exp(constants[86]*algebraic[28])
algebraic[96] = (power(constants[59], 3.00000))*constants[12]*algebraic[94]-(power(constants[64], 3.00000))*states[1]*algebraic[93]
algebraic[97] = 1.00000+constants[85]*algebraic[93]
algebraic[98] = constants[52]*(power(constants[59], 3.00000))+(power(constants[51], 3.00000))*states[1]+(power(constants[49], 3.00000))*constants[12]*(1.00000+states[1]/constants[50])
algebraic[99] = constants[12]*(power(constants[59], 3.00000))+(power(constants[64], 3.00000))*states[1]+(power(constants[64], 3.00000))*constants[50]*(1.00000+power(constants[59]/constants[49], 3.00000))
algebraic[100] = (constants[10]*constants[84]*algebraic[95]*algebraic[96])/(algebraic[97]*(algebraic[98]+algebraic[99]))
algebraic[101] = ((0.500000*constants[70]*constants[72])/(constants[69]*constants[73]*constants[68]))*constants[9]*algebraic[100]
algebraic[104] = algebraic[63]+algebraic[83]+algebraic[101]+algebraic[92]+algebraic[70]+algebraic[72]+algebraic[84]+algebraic[74]+algebraic[75]+algebraic[76]+algebraic[77]+algebraic[78]+algebraic[79]+algebraic[80]+algebraic[81]+algebraic[82]+algebraic[88]+algebraic[90]+algebraic[85]+algebraic[73]
algebraic[86] = algebraic[70]+algebraic[72]+algebraic[85]
algebraic[87] = ((constants[69]*constants[73]*constants[68])/(constants[70]*constants[72]))*algebraic[86]
algebraic[102] = constants[44]/(1.00000+power(constants[45]/states[1], constants[46]))
algebraic[105] = algebraic[87]+algebraic[100]+algebraic[102]
algebraic[2] = constants[53]*(states[2]-0.234500)
algebraic[89] = algebraic[87]*constants[4]
algebraic[103] = algebraic[100]*constants[4]
algebraic[106] = algebraic[102]*constants[4]
return algebraic
def custom_piecewise(cases):
"""Compute result of a piecewise function"""
return select(cases[0::2],cases[1::2])
def solve_model():
"""Solve model with ODE solver"""
from scipy.integrate import ode
# Initialise constants and state variables
(init_states, constants) = initConsts()
# Set timespan to solve over
voi = linspace(0, 10, 500)
# Construct ODE object to solve
r = ode(computeRates)
r.set_integrator('vode', method='bdf', atol=1e-06, rtol=1e-06, max_step=1)
r.set_initial_value(init_states, voi[0])
r.set_f_params(constants)
# Solve model
states = array([[0.0] * len(voi)] * sizeStates)
states[:,0] = init_states
for (i,t) in enumerate(voi[1:]):
if r.successful():
r.integrate(t)
states[:,i+1] = r.y
else:
break
# Compute algebraic variables
algebraic = computeAlgebraic(constants, states, voi)
return (voi, states, algebraic)
def plot_model(voi, states, algebraic):
"""Plot variables against variable of integration"""
import pylab
(legend_states, legend_algebraic, legend_voi, legend_constants) = createLegends()
pylab.figure(1)
pylab.plot(voi,vstack((states,algebraic)).T)
pylab.xlabel(legend_voi)
pylab.legend(legend_states + legend_algebraic, loc='best')
pylab.show()
if __name__ == "__main__":
(voi, states, algebraic) = solve_model()
plot_model(voi, states, algebraic)