# Size of variable arrays:
sizeAlgebraic = 0
sizeStates = 0
sizeConstants = 17
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] = "ElaMax in component ParaLeftHeart (UnitE)"
legend_constants[1] = "ElaMin in component ParaLeftHeart (UnitE)"
legend_constants[2] = "PlaIni in component ParaLeftHeart (UnitP)"
legend_constants[3] = "VlaIni in component ParaLeftHeart (UnitV)"
legend_constants[4] = "ElvMax in component ParaLeftHeart (UnitE)"
legend_constants[5] = "ElvMin in component ParaLeftHeart (UnitE)"
legend_constants[6] = "PlvIni in component ParaLeftHeart (UnitP)"
legend_constants[7] = "VlvIni in component ParaLeftHeart (UnitV)"
legend_constants[8] = "T in component ParaLeftHeart (second)"
legend_constants[9] = "Tpwb in component ParaLeftHeart (dimensionless)"
legend_constants[10] = "Tpww in component ParaLeftHeart (dimensionless)"
legend_constants[11] = "Ts1 in component ParaLeftHeart (dimensionless)"
legend_constants[12] = "Ts2 in component ParaLeftHeart (dimensionless)"
legend_constants[13] = "CVao in component ParaLeftHeart (UnitCV)"
legend_constants[14] = "CVmi in component ParaLeftHeart (UnitCV)"
legend_constants[15] = "Vlv0 in component ParaLeftHeart (UnitV)"
legend_constants[16] = "Vla0 in component ParaLeftHeart (UnitV)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
constants[0] = 0.25
constants[1] = 0.15
constants[2] = 1.0
constants[3] = 4.0
constants[4] = 2.5
constants[5] = 0.1
constants[6] = 1.0
constants[7] = 5.0
constants[8] = 1.0
constants[9] = 0.92
constants[10] = 0.09
constants[11] = 0.3
constants[12] = 0.45
constants[13] = 350.
constants[14] = 400.
constants[15] = 500
constants[16] = 20
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
return algebraic
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)