In [5]:
import os, tempfile
import logging
import matplotlib as mpl
import matplotlib.pyplot as plt
import seaborn as sns
import numpy as np
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from ionchannelABC import theoretical_population_size
from ionchannelABC import IonChannelDistance, EfficientMultivariateNormalTransition, IonChannelAcceptor
from ionchannelABC.experiment import setup
from ionchannelABC.visualization import plot_sim_results, plot_kde_matrix_custom
import myokit
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from pyabc import Distribution, RV, History, ABCSMC
from pyabc.epsilon import MedianEpsilon
from pyabc.sampler import MulticoreEvalParallelSampler, SingleCoreSampler
from pyabc.populationstrategy import ConstantPopulationSize
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from experiments.ical_li import (li_act_and_tau, # combines steady-state activation and time constant
li_inact_1000,
li_inact_kin_80,
li_recov)
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modelfile = 'models/nygren_ical.mmt'
Plot steady-state and time constant functions of original model
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from ionchannelABC.visualization import plot_variables
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sns.set_context('talk')
V = np.arange(-140, 50, 0.01)
nyg_par_map = {'di': 'ical.d_inf',
'f1i': 'ical.f_inf',
'f2i': 'ical.f_inf',
'dt': 'ical.tau_d',
'f1t': 'ical.tau_f_1',
'f2t': 'ical.tau_f_2'}
f, ax = plot_variables(V, nyg_par_map, 'models/nygren_ical.mmt', figshape=(3,2))
Combine model and experiments to produce:
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observations, model, summary_statistics = setup(modelfile,
li_act_and_tau)
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assert len(observations)==len(summary_statistics(model({})))
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g = plot_sim_results(modelfile,
li_act_and_tau)
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limits = {'ical.p1': (-100, 100),
'ical.p2': (0, 50),
'log_ical.p3': (-7, 3),
'ical.p4': (-100, 100),
'ical.p5': (0, 50),
'log_ical.p6': (-7, 3)}
prior = Distribution(**{key: RV("uniform", a, b - a)
for key, (a,b) in limits.items()})
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# Test this works correctly with set-up functions
assert len(observations) == len(summary_statistics(model(prior.rvs())))
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db_path = ("sqlite:///" + os.path.join(tempfile.gettempdir(), "nygren_ical_dgate_unified.db"))
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logging.basicConfig()
abc_logger = logging.getLogger('ABC')
abc_logger.setLevel(logging.DEBUG)
eps_logger = logging.getLogger('Epsilon')
eps_logger.setLevel(logging.DEBUG)
Test theoretical number of particles for approximately 2 particles per dimension in the initial sampling of the parameter hyperspace.
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pop_size = theoretical_population_size(2, len(limits))
print("Theoretical minimum population size is {} particles".format(pop_size))
Initialise ABCSMC (see pyABC documentation for further details).
IonChannelDistance calculates the weighting applied to each datapoint based on the experimental variance.
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abc = ABCSMC(models=model,
parameter_priors=prior,
distance_function=IonChannelDistance(
exp_id=list(observations.exp_id),
variance=list(observations.variance),
delta=0.05),
population_size=ConstantPopulationSize(2000),
summary_statistics=summary_statistics,
transitions=EfficientMultivariateNormalTransition(),
eps=MedianEpsilon(initial_epsilon=100),
sampler=MulticoreEvalParallelSampler(n_procs=16),
acceptor=IonChannelAcceptor())
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obs = observations.to_dict()['y']
obs = {str(k): v for k, v in obs.items()}
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abc_id = abc.new(db_path, obs)
Run calibration with stopping criterion of particle 1\% acceptance rate.
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history = abc.run(minimum_epsilon=0., max_nr_populations=100, min_acceptance_rate=0.01)
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history = History('sqlite:///results/nygren/ical/unified/nygren_ical_dgate_unified.db')
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history.all_runs()
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df, w = history.get_distribution(m=0)
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df.describe()
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sns.set_context('poster')
mpl.rcParams['font.size'] = 14
mpl.rcParams['legend.fontsize'] = 14
g = plot_sim_results(modelfile,
li_act_and_tau,
df=df, w=w)
plt.tight_layout()
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import pandas as pd
N = 100
nyg_par_samples = df.sample(n=N, weights=w, replace=True)
nyg_par_samples = nyg_par_samples.set_index([pd.Index(range(N))])
nyg_par_samples = nyg_par_samples.to_dict(orient='records')
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sns.set_context('talk')
mpl.rcParams['font.size'] = 14
mpl.rcParams['legend.fontsize'] = 14
f, ax = plot_variables(V, nyg_par_map,
'models/nygren_ical.mmt',
[nyg_par_samples],
figshape=(3,2))
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from ionchannelABC.visualization import plot_kde_matrix_custom
import myokit
import numpy as np
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m,_,_ = myokit.load(modelfile)
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originals = {}
for name in limits.keys():
if name.startswith("log"):
name_ = name[4:]
else:
name_ = name
val = m.value(name_)
if name.startswith("log"):
val_ = np.log10(val)
else:
val_ = val
originals[name] = val_
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sns.set_context('paper')
g = plot_kde_matrix_custom(df, w, limits=limits, refval=originals)
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