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 = 42
sizeStates = 14
sizeConstants = 45
from math import *
from numpy import *
def createLegends():
legend_states = [""] * sizeStates
legend_rates = [""] * sizeStates
legend_algebraic = [""] * sizeAlgebraic
legend_voi = ""
legend_constants = [""] * sizeConstants
legend_voi = "time in component environment (second)"
legend_states[0] = "V in component membrane (millivolt)"
legend_constants[0] = "R in component membrane (joule_per_kilomole_kelvin)"
legend_constants[1] = "T in component membrane (kelvin)"
legend_constants[2] = "F in component membrane (coulomb_per_mole)"
legend_constants[3] = "C in component membrane (microF)"
legend_constants[40] = "RTONF in component membrane (millivolt)"
legend_algebraic[23] = "i_f in component hyperpolarising_activated_current (nanoA)"
legend_algebraic[25] = "i_K in component time_dependent_potassium_current (nanoA)"
legend_algebraic[26] = "i_K1 in component time_independent_potassium_current (nanoA)"
legend_algebraic[27] = "i_Na_b in component sodium_background_current (nanoA)"
legend_algebraic[29] = "i_Ca_b in component calcium_background_current (nanoA)"
legend_algebraic[30] = "i_p in component sodium_potassium_pump (nanoA)"
legend_algebraic[31] = "i_NaCa in component Na_Ca_exchanger (nanoA)"
legend_algebraic[33] = "i_Na in component fast_sodium_current (nanoA)"
legend_algebraic[40] = "i_si in component second_inward_current (nanoA)"
legend_algebraic[20] = "i_fNa in component hyperpolarising_activated_current (nanoA)"
legend_algebraic[0] = "E_Na in component hyperpolarising_activated_current (millivolt)"
legend_algebraic[9] = "E_K in component hyperpolarising_activated_current (millivolt)"
legend_algebraic[22] = "i_fK in component hyperpolarising_activated_current (nanoA)"
legend_constants[4] = "g_f_Na in component hyperpolarising_activated_current (microS)"
legend_constants[5] = "g_f_K in component hyperpolarising_activated_current (microS)"
legend_constants[6] = "Km_f in component hyperpolarising_activated_current (millimolar)"
legend_constants[7] = "Kc in component extracellular_potassium_concentration (millimolar)"
legend_states[1] = "Ki in component intracellular_potassium_concentration (millimolar)"
legend_states[2] = "Nai in component intracellular_sodium_concentration (millimolar)"
legend_constants[8] = "Nao in component extracellular_sodium_concentration (millimolar)"
legend_states[3] = "y in component hyperpolarising_activated_current_y_gate (dimensionless)"
legend_algebraic[1] = "alpha_y in component hyperpolarising_activated_current_y_gate (per_second)"
legend_algebraic[10] = "beta_y in component hyperpolarising_activated_current_y_gate (per_second)"
legend_constants[9] = "speed_y in component hyperpolarising_activated_current_y_gate (dimensionless)"
legend_constants[10] = "shifty in component hyperpolarising_activated_current_y_gate (millivolt)"
legend_algebraic[24] = "I_K in component time_dependent_potassium_current (nanoA)"
legend_constants[11] = "i_K_max in component time_dependent_potassium_current (nanoA)"
legend_states[4] = "x in component time_dependent_potassium_current_x_gate (dimensionless)"
legend_algebraic[2] = "alpha_x in component time_dependent_potassium_current_x_gate (per_second)"
legend_algebraic[11] = "beta_x in component time_dependent_potassium_current_x_gate (per_second)"
legend_constants[12] = "g_K1 in component time_independent_potassium_current (microS)"
legend_constants[13] = "Km_K1 in component time_independent_potassium_current (millimolar)"
legend_constants[14] = "g_Nab in component sodium_background_current (microS)"
legend_algebraic[28] = "E_Ca in component calcium_background_current (millivolt)"
legend_constants[15] = "g_Cab in component calcium_background_current (microS)"
legend_states[5] = "Cai in component intracellular_calcium_concentration (millimolar)"
legend_constants[16] = "Cao in component extracellular_calcium_concentration (millimolar)"
legend_constants[17] = "I_p in component sodium_potassium_pump (nanoA)"
legend_constants[18] = "K_mK in component sodium_potassium_pump (millimolar)"
legend_constants[19] = "K_mNa in component sodium_potassium_pump (millimolar)"
legend_constants[20] = "n_NaCa in component Na_Ca_exchanger (dimensionless)"
legend_constants[21] = "K_NaCa in component Na_Ca_exchanger (nanoA)"
legend_constants[22] = "d_NaCa in component Na_Ca_exchanger (dimensionless)"
legend_constants[23] = "gamma in component Na_Ca_exchanger (dimensionless)"
legend_constants[24] = "g_Na in component fast_sodium_current (microS)"
legend_algebraic[32] = "E_mh in component fast_sodium_current (millivolt)"
legend_states[6] = "m in component fast_sodium_current_m_gate (dimensionless)"
legend_states[7] = "h in component fast_sodium_current_h_gate (dimensionless)"
legend_algebraic[12] = "alpha_m in component fast_sodium_current_m_gate (per_second)"
legend_algebraic[17] = "beta_m in component fast_sodium_current_m_gate (per_second)"
legend_constants[25] = "delta_m in component fast_sodium_current_m_gate (millivolt)"
legend_algebraic[3] = "E0_m in component fast_sodium_current_m_gate (millivolt)"
legend_algebraic[4] = "alpha_h in component fast_sodium_current_h_gate (per_second)"
legend_algebraic[13] = "beta_h in component fast_sodium_current_h_gate (per_second)"
legend_algebraic[34] = "i_siCa in component second_inward_current (nanoA)"
legend_algebraic[35] = "i_siK in component second_inward_current (nanoA)"
legend_algebraic[37] = "i_siNa in component second_inward_current (nanoA)"
legend_constants[26] = "P_si in component second_inward_current (nanoA_per_millimolar)"
legend_states[8] = "d in component second_inward_current_d_gate (dimensionless)"
legend_states[9] = "f in component second_inward_current_f_gate (dimensionless)"
legend_states[10] = "f2 in component second_inward_current_f2_gate (dimensionless)"
legend_algebraic[14] = "alpha_d in component second_inward_current_d_gate (per_second)"
legend_algebraic[18] = "beta_d in component second_inward_current_d_gate (per_second)"
legend_constants[27] = "delta_d in component second_inward_current_d_gate (millivolt)"
legend_algebraic[5] = "E0_d in component second_inward_current_d_gate (millivolt)"
legend_algebraic[15] = "alpha_f in component second_inward_current_f_gate (per_second)"
legend_algebraic[19] = "beta_f in component second_inward_current_f_gate (per_second)"
legend_constants[28] = "delta_f in component second_inward_current_f_gate (millivolt)"
legend_algebraic[6] = "E0_f in component second_inward_current_f_gate (millivolt)"
legend_constants[29] = "alpha_f2 in component second_inward_current_f2_gate (per_second)"
legend_algebraic[7] = "beta_f2 in component second_inward_current_f2_gate (per_second)"
legend_constants[30] = "K_mf2 in component second_inward_current_f2_gate (millimolar)"
legend_constants[31] = "radius in component intracellular_sodium_concentration (millimetre)"
legend_constants[32] = "length in component intracellular_sodium_concentration (millimetre)"
legend_constants[33] = "V_e_ratio in component intracellular_sodium_concentration (dimensionless)"
legend_constants[41] = "V_Cell in component intracellular_sodium_concentration (millimetre3)"
legend_constants[42] = "Vi in component intracellular_sodium_concentration (millimetre3)"
legend_constants[43] = "V_up in component intracellular_calcium_concentration (millimetre3)"
legend_constants[44] = "V_rel in component intracellular_calcium_concentration (millimetre3)"
legend_algebraic[36] = "i_up in component intracellular_calcium_concentration (nanoA)"
legend_algebraic[38] = "i_tr in component intracellular_calcium_concentration (nanoA)"
legend_algebraic[41] = "i_rel in component intracellular_calcium_concentration (nanoA)"
legend_states[11] = "Ca_up in component intracellular_calcium_concentration (millimolar)"
legend_states[12] = "Ca_rel in component intracellular_calcium_concentration (millimolar)"
legend_constants[34] = "Ca_up_max in component intracellular_calcium_concentration (millimolar)"
legend_constants[35] = "K_mCa in component intracellular_calcium_concentration (millimolar)"
legend_states[13] = "p in component intracellular_calcium_concentration (dimensionless)"
legend_algebraic[16] = "alpha_p in component intracellular_calcium_concentration (per_second)"
legend_algebraic[21] = "beta_p in component intracellular_calcium_concentration (per_second)"
legend_algebraic[8] = "E0_p in component intracellular_calcium_concentration (millivolt)"
legend_constants[36] = "tau_up in component intracellular_calcium_concentration (second)"
legend_constants[37] = "tau_rep in component intracellular_calcium_concentration (second)"
legend_constants[38] = "tau_rel in component intracellular_calcium_concentration (second)"
legend_constants[39] = "rCa in component intracellular_calcium_concentration (dimensionless)"
legend_algebraic[39] = "i_mK in component intracellular_potassium_concentration (nanoA)"
legend_rates[0] = "d/dt V in component membrane (millivolt)"
legend_rates[3] = "d/dt y in component hyperpolarising_activated_current_y_gate (dimensionless)"
legend_rates[4] = "d/dt x in component time_dependent_potassium_current_x_gate (dimensionless)"
legend_rates[6] = "d/dt m in component fast_sodium_current_m_gate (dimensionless)"
legend_rates[7] = "d/dt h in component fast_sodium_current_h_gate (dimensionless)"
legend_rates[8] = "d/dt d in component second_inward_current_d_gate (dimensionless)"
legend_rates[9] = "d/dt f in component second_inward_current_f_gate (dimensionless)"
legend_rates[10] = "d/dt f2 in component second_inward_current_f2_gate (dimensionless)"
legend_rates[2] = "d/dt Nai in component intracellular_sodium_concentration (millimolar)"
legend_rates[13] = "d/dt p in component intracellular_calcium_concentration (dimensionless)"
legend_rates[11] = "d/dt Ca_up in component intracellular_calcium_concentration (millimolar)"
legend_rates[12] = "d/dt Ca_rel in component intracellular_calcium_concentration (millimolar)"
legend_rates[5] = "d/dt Cai in component intracellular_calcium_concentration (millimolar)"
legend_rates[1] = "d/dt Ki in component intracellular_potassium_concentration (millimolar)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
states[0] = -67.797059970601
constants[0] = 8314.472
constants[1] = 310
constants[2] = 96485.3415
constants[3] = 6e-5
constants[4] = 0.06
constants[5] = 0.06
constants[6] = 45
constants[7] = 5.4
states[1] = 142.9889
states[2] = 5.5736
constants[8] = 140
states[3] = 0.0743464067197738
constants[9] = 2
constants[10] = 0
constants[11] = 0.8
states[4] = 0.129303443591363
constants[12] = 0.0075
constants[13] = 10
constants[14] = 0.0007
constants[15] = 0.0001
states[5] = 5.84191784887783e-5
constants[16] = 1.8
constants[17] = 0.25
constants[18] = 1
constants[19] = 40
constants[20] = 3
constants[21] = 0.0000088
constants[22] = 0.0001
constants[23] = 0.5
constants[24] = 0.0125
states[6] = 0.042697621819783
states[7] = 0.138105285882671
constants[25] = 1e-5
constants[26] = 0.075
states[8] = 1.26333192869164e-5
states[9] = 0.999507224159629
states[10] = 0.485471180273736
constants[27] = 0.0001
constants[28] = 0.0001
constants[29] = 10
constants[30] = 0.0005
constants[31] = 0.008
constants[32] = 0.11
constants[33] = 0.1
states[11] = 3.70806465918854
states[12] = 0.177741556496929
constants[34] = 5
constants[35] = 0.002
states[13] = 0.176207580044253
constants[36] = 0.005
constants[37] = 0.2
constants[38] = 0.01
constants[39] = 2
constants[40] = (constants[0]*constants[1])/constants[2]
constants[41] = 3.14159*(power(constants[31], 2.00000))*constants[32]
constants[42] = constants[41]*(1.00000-constants[33])
constants[43] = constants[42]*0.0500000
constants[44] = constants[42]*0.0200000
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
algebraic[7] = (states[5]*constants[29])/constants[30]
rates[10] = constants[29]-states[10]*(constants[29]+algebraic[7])
algebraic[1] = 0.0140000*exp(-(states[0]+constants[10])/16.0000)
algebraic[10] = 9.75000*exp((states[0]+constants[10])/19.0000)
rates[3] = constants[9]*(algebraic[1]*(1.00000-states[3])-algebraic[10]*states[3])
algebraic[2] = 2.10000*exp(states[0]/28.0000)
algebraic[11] = 0.960000*exp(-states[0]/24.0000)
rates[4] = algebraic[2]*(1.00000-states[4])-algebraic[11]*states[4]
algebraic[4] = 20.0000*exp(-0.125000*(states[0]+75.0000))
algebraic[13] = 2000.00/(320.000*exp(-0.100000*(states[0]+75.0000))+1.00000)
rates[7] = algebraic[4]*(1.00000-states[7])-algebraic[13]*states[7]
algebraic[3] = states[0]+41.0000
algebraic[12] = custom_piecewise([less(fabs(algebraic[3]) , constants[25]), 2000.00 , True, (200.000*algebraic[3])/(1.00000-exp(-0.100000*algebraic[3]))])
algebraic[17] = 8000.00*exp(-0.0560000*(states[0]+66.0000))
rates[6] = algebraic[12]*(1.00000-states[6])-algebraic[17]*states[6]
algebraic[5] = (states[0]+24.0000)-5.00000
algebraic[14] = custom_piecewise([less(fabs(algebraic[5]) , constants[27]), 120.000 , True, (30.0000*algebraic[5])/(1.00000-exp((-1.00000*algebraic[5])/4.00000))])
algebraic[18] = custom_piecewise([less(fabs(algebraic[5]) , constants[27]), 120.000 , True, (12.0000*algebraic[5])/(exp(algebraic[5]/10.0000)-1.00000)])
rates[8] = algebraic[14]*(1.00000-states[8])-algebraic[18]*states[8]
algebraic[6] = states[0]+34.0000
algebraic[15] = custom_piecewise([less(fabs(algebraic[6]) , constants[28]), 25.0000 , True, (6.25000*algebraic[6])/(exp(algebraic[6]/4.00000)-1.00000)])
algebraic[19] = 50.0000/(1.00000+exp((-1.00000*(states[0]+34.0000))/4.00000))
rates[9] = algebraic[15]*(1.00000-states[9])-algebraic[19]*states[9]
algebraic[8] = (states[0]+34.0000)--30.0000
algebraic[16] = (0.625000*algebraic[8])/(exp(algebraic[8]/4.00000)-1.00000)
algebraic[21] = 5.00000/(1.00000+exp((-1.00000*algebraic[8])/4.00000))
rates[13] = algebraic[16]*(1.00000-states[13])-algebraic[21]*states[13]
algebraic[0] = constants[40]*log(constants[8]/states[2])
algebraic[27] = constants[14]*(states[0]-algebraic[0])
algebraic[30] = (((constants[17]*constants[7])/(constants[18]+constants[7]))*states[2])/(constants[19]+states[2])
algebraic[31] = (constants[21]*(exp((constants[23]*(constants[20]-2.00000)*states[0])/constants[40])*(power(states[2], constants[20]))*constants[16]-exp(((constants[23]-1.00000)*(constants[20]-2.00000)*states[0])/constants[40])*(power(constants[8], constants[20]))*states[5]))/((1.00000+constants[22]*(states[5]*(power(constants[8], constants[20]))+constants[16]*(power(states[2], constants[20]))))*(1.00000+states[5]/0.00690000))
algebraic[32] = constants[40]*log((constants[8]+0.120000*constants[7])/(states[2]+0.120000*states[1]))
algebraic[33] = constants[24]*(power(states[6], 3.00000))*states[7]*(states[0]-algebraic[32])
algebraic[20] = (((power(states[3], 2.00000))*constants[7])/(constants[7]+constants[6]))*constants[4]*(states[0]-algebraic[0])
algebraic[37] = ((0.0100000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000))/constants[40]))))*(states[2]*exp(50.0000/constants[40])-constants[8]*exp((-1.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
rates[2] = (-1.00000*(algebraic[33]+algebraic[27]+algebraic[20]+algebraic[37]+algebraic[30]*3.00000+(algebraic[31]*constants[20])/(constants[20]-2.00000)))/(1.00000*constants[42]*constants[2])
algebraic[36] = ((2.00000*1.00000*constants[42]*constants[2])/(1.00000*constants[36]*constants[34]))*states[5]*(constants[34]-states[11])
algebraic[38] = ((2.00000*1.00000*constants[44]*constants[2])/(1.00000*constants[37]))*states[13]*(states[11]-states[12])
rates[11] = (1.00000*(algebraic[36]-algebraic[38]))/(2.00000*1.00000*constants[43]*constants[2])
algebraic[24] = (constants[11]*(states[1]-constants[7]*exp(-states[0]/constants[40])))/140.000
algebraic[25] = states[4]*algebraic[24]
algebraic[9] = constants[40]*log(constants[7]/states[1])
algebraic[26] = (((constants[12]*constants[7])/(constants[7]+constants[13]))*(states[0]-algebraic[9]))/(1.00000+exp((((states[0]+10.0000)-algebraic[9])*2.00000)/constants[40]))
algebraic[22] = (((power(states[3], 2.00000))*constants[7])/(constants[7]+constants[6]))*constants[5]*(states[0]-algebraic[9])
algebraic[35] = ((0.0100000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000))/constants[40]))))*(states[1]*exp(50.0000/constants[40])-constants[7]*exp((-1.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
algebraic[39] = (algebraic[26]+algebraic[25]+algebraic[22]+algebraic[35])-2.00000*algebraic[30]
rates[1] = (-1.00000*algebraic[39])/(1.00000*constants[42]*constants[2])
algebraic[23] = algebraic[20]+algebraic[22]
algebraic[28] = 0.500000*constants[40]*log(constants[16]/states[5])
algebraic[29] = constants[15]*(states[0]-algebraic[28])
algebraic[34] = ((4.00000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000)*2.00000)/constants[40]))))*(states[5]*exp(100.000/constants[40])-constants[16]*exp((-2.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
algebraic[40] = algebraic[34]+algebraic[35]+algebraic[37]
rates[0] = -(algebraic[23]+algebraic[25]+algebraic[26]+algebraic[27]+algebraic[29]+algebraic[30]+algebraic[31]+algebraic[33]+algebraic[40])/constants[3]
algebraic[41] = (((2.00000*1.00000*constants[44]*constants[2])/(1.00000*constants[38]))*states[12]*(power(states[5], constants[39])))/(power(states[5], constants[39])+power(constants[35], constants[39]))
rates[12] = (1.00000*(algebraic[38]-algebraic[41]))/(2.00000*1.00000*constants[44]*constants[2])
rates[5] = (-1.00000*((((algebraic[34]+algebraic[29])-(2.00000*algebraic[31])/(constants[20]-2.00000))-algebraic[41])+algebraic[36]))/(2.00000*1.00000*constants[42]*constants[2])
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[7] = (states[5]*constants[29])/constants[30]
algebraic[1] = 0.0140000*exp(-(states[0]+constants[10])/16.0000)
algebraic[10] = 9.75000*exp((states[0]+constants[10])/19.0000)
algebraic[2] = 2.10000*exp(states[0]/28.0000)
algebraic[11] = 0.960000*exp(-states[0]/24.0000)
algebraic[4] = 20.0000*exp(-0.125000*(states[0]+75.0000))
algebraic[13] = 2000.00/(320.000*exp(-0.100000*(states[0]+75.0000))+1.00000)
algebraic[3] = states[0]+41.0000
algebraic[12] = custom_piecewise([less(fabs(algebraic[3]) , constants[25]), 2000.00 , True, (200.000*algebraic[3])/(1.00000-exp(-0.100000*algebraic[3]))])
algebraic[17] = 8000.00*exp(-0.0560000*(states[0]+66.0000))
algebraic[5] = (states[0]+24.0000)-5.00000
algebraic[14] = custom_piecewise([less(fabs(algebraic[5]) , constants[27]), 120.000 , True, (30.0000*algebraic[5])/(1.00000-exp((-1.00000*algebraic[5])/4.00000))])
algebraic[18] = custom_piecewise([less(fabs(algebraic[5]) , constants[27]), 120.000 , True, (12.0000*algebraic[5])/(exp(algebraic[5]/10.0000)-1.00000)])
algebraic[6] = states[0]+34.0000
algebraic[15] = custom_piecewise([less(fabs(algebraic[6]) , constants[28]), 25.0000 , True, (6.25000*algebraic[6])/(exp(algebraic[6]/4.00000)-1.00000)])
algebraic[19] = 50.0000/(1.00000+exp((-1.00000*(states[0]+34.0000))/4.00000))
algebraic[8] = (states[0]+34.0000)--30.0000
algebraic[16] = (0.625000*algebraic[8])/(exp(algebraic[8]/4.00000)-1.00000)
algebraic[21] = 5.00000/(1.00000+exp((-1.00000*algebraic[8])/4.00000))
algebraic[0] = constants[40]*log(constants[8]/states[2])
algebraic[27] = constants[14]*(states[0]-algebraic[0])
algebraic[30] = (((constants[17]*constants[7])/(constants[18]+constants[7]))*states[2])/(constants[19]+states[2])
algebraic[31] = (constants[21]*(exp((constants[23]*(constants[20]-2.00000)*states[0])/constants[40])*(power(states[2], constants[20]))*constants[16]-exp(((constants[23]-1.00000)*(constants[20]-2.00000)*states[0])/constants[40])*(power(constants[8], constants[20]))*states[5]))/((1.00000+constants[22]*(states[5]*(power(constants[8], constants[20]))+constants[16]*(power(states[2], constants[20]))))*(1.00000+states[5]/0.00690000))
algebraic[32] = constants[40]*log((constants[8]+0.120000*constants[7])/(states[2]+0.120000*states[1]))
algebraic[33] = constants[24]*(power(states[6], 3.00000))*states[7]*(states[0]-algebraic[32])
algebraic[20] = (((power(states[3], 2.00000))*constants[7])/(constants[7]+constants[6]))*constants[4]*(states[0]-algebraic[0])
algebraic[37] = ((0.0100000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000))/constants[40]))))*(states[2]*exp(50.0000/constants[40])-constants[8]*exp((-1.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
algebraic[36] = ((2.00000*1.00000*constants[42]*constants[2])/(1.00000*constants[36]*constants[34]))*states[5]*(constants[34]-states[11])
algebraic[38] = ((2.00000*1.00000*constants[44]*constants[2])/(1.00000*constants[37]))*states[13]*(states[11]-states[12])
algebraic[24] = (constants[11]*(states[1]-constants[7]*exp(-states[0]/constants[40])))/140.000
algebraic[25] = states[4]*algebraic[24]
algebraic[9] = constants[40]*log(constants[7]/states[1])
algebraic[26] = (((constants[12]*constants[7])/(constants[7]+constants[13]))*(states[0]-algebraic[9]))/(1.00000+exp((((states[0]+10.0000)-algebraic[9])*2.00000)/constants[40]))
algebraic[22] = (((power(states[3], 2.00000))*constants[7])/(constants[7]+constants[6]))*constants[5]*(states[0]-algebraic[9])
algebraic[35] = ((0.0100000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000))/constants[40]))))*(states[1]*exp(50.0000/constants[40])-constants[7]*exp((-1.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
algebraic[39] = (algebraic[26]+algebraic[25]+algebraic[22]+algebraic[35])-2.00000*algebraic[30]
algebraic[23] = algebraic[20]+algebraic[22]
algebraic[28] = 0.500000*constants[40]*log(constants[16]/states[5])
algebraic[29] = constants[15]*(states[0]-algebraic[28])
algebraic[34] = ((4.00000*constants[26]*(states[0]-50.0000))/(constants[40]*(1.00000-exp((-1.00000*(states[0]-50.0000)*2.00000)/constants[40]))))*(states[5]*exp(100.000/constants[40])-constants[16]*exp((-2.00000*(states[0]-50.0000))/constants[40]))*states[8]*states[9]*states[10]
algebraic[40] = algebraic[34]+algebraic[35]+algebraic[37]
algebraic[41] = (((2.00000*1.00000*constants[44]*constants[2])/(1.00000*constants[38]))*states[12]*(power(states[5], constants[39])))/(power(states[5], constants[39])+power(constants[35], constants[39]))
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)