In [1]:
%pylab nbagg
from tvb.simulator.lab import *
from tvb.datatypes import graph
from tvb.datatypes.time_series import TimeSeriesRegion
Populating the interactive namespace from numpy and matplotlib
   INFO  NumExpr defaulting to 3 threads.
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.epileptor.Epileptor.state_variable_range = Final(field_type=<class 'dict'>, default={'x1': array([-2.,  1.]), 'y1': array([-20.,   2.]), 'z': array([2., 5.]), 'x2': array([-2.,  0.]), 'y2': array([0., 2.]), 'g': array([-1.,  1.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.epileptor.Epileptor2D.tt = NArray(label='tt', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.epileptor.Epileptor2D.state_variable_range = Final(field_type=<class 'dict'>, default={'x1': array([-2.,  1.]), 'z': array([2., 5.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.epileptor_rs.EpileptorRestingState.gamma_rs = NArray(label=":math:'\\gamma_rs'", dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.epileptor_rs.EpileptorRestingState.state_variable_range = Final(field_type=<class 'dict'>, default={'x1': array([-1.8, -1.4]), 'y1': array([-15, -10]), 'z': array([3.6, 4. ]), 'x2': array([-1.1, -0.9]), 'y2': array([0.001, 0.01 ]), 'g': array([-1.,  1.]), 'x_rs': array([-2.,  4.]), 'y_rs': array([-6.,  6.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.epileptorcodim3.EpileptorCodim3.state_variable_range = Final(field_type=<class 'dict'>, default={'x': array([0.4, 0.6]), 'y': array([-0.1,  0.1]), 'z': array([0.  , 0.15])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.epileptorcodim3.EpileptorCodim3SlowMod.state_variable_range = Final(field_type=<class 'dict'>, default={'x': array([0.4, 0.6]), 'y': array([-0.1,  0.1]), 'z': array([0. , 0.1]), 'uA': array([0., 0.]), 'uB': array([0., 0.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.hopfield.Hopfield.state_variable_range = Final(field_type=<class 'dict'>, default={'x': array([-1.,  2.]), 'theta': array([0., 1.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 0.12 
   attribute  tvb.simulator.models.jansen_rit.JansenRit.p_min = NArray(label=':math:`p_{min}`', dtype=float64, default=array([0.12]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 0.32 
   attribute  tvb.simulator.models.jansen_rit.JansenRit.p_max = NArray(label=':math:`p_{max}`', dtype=float64, default=array([0.32]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 0.22 
   attribute  tvb.simulator.models.jansen_rit.JansenRit.mu = NArray(label=':math:`\\mu_{max}`', dtype=float64, default=array([0.22]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.jansen_rit.JansenRit.state_variable_range = Final(field_type=<class 'dict'>, default={'y0': array([-1.,  1.]), 'y1': array([-500.,  500.]), 'y2': array([-50.,  50.]), 'y3': array([-6.,  6.]), 'y4': array([-20.,  20.]), 'y5': array([-500.,  500.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.jansen_rit.ZetterbergJansen.state_variable_range = Final(field_type=<class 'dict'>, default={'v1': array([-100.,  100.]), 'y1': array([-500.,  500.]), 'v2': array([-100.,   50.]), 'y2': array([-100.,    6.]), 'v3': array([-100.,    6.]), 'y3': array([-100.,    6.]), 'v4': array([-100.,   20.]), 'y4': array([-100.,   20.]), 'v5': array([-100.,   20.]), 'y5': array([-500.,  500.]), 'v6': array([-100.,   20.]), 'v7': array([-100.,   20.])}, required=True)
WARNING  default contains values out of the declared domain. Ex -0.01 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.TCa = NArray(label=':math:`T_{Ca}`', dtype=float64, default=array([-0.01]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 0.3 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.TNa = NArray(label=':math:`T_{Na}`', dtype=float64, default=array([0.3]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 2.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.aei = NArray(label=':math:`a_{ei}`', dtype=float64, default=array([2.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 2.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.aie = NArray(label=':math:`a_{ie}`', dtype=float64, default=array([2.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.ane = NArray(label=':math:`a_{ne}`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 0.3 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.Iext = NArray(label=':math:`I_{ext}`', dtype=float64, default=array([0.3]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.QV_max = NArray(label=':math:`Q_{max}`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.QZ_max = NArray(label=':math:`Q_{max}`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.larter_breakspear.LarterBreakspear.t_scale = NArray(label=':math:`t_{scale}`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.larter_breakspear.LarterBreakspear.state_variable_range = Final(field_type=<class 'dict'>, default={'V': array([-1.5,  1.5]), 'W': array([-1.5,  1.5]), 'Z': array([-1.5,  1.5])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.linear.Linear.state_variable_range = Final(field_type=<class 'dict'>, default={'x': array([-1,  1])}, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.oscillator.Generic2dOscillator.gamma = NArray(label=':math:`\\gamma`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.oscillator.Generic2dOscillator.state_variable_range = Final(field_type=<class 'dict'>, default={'V': array([-2.,  4.]), 'W': array([-6.,  6.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.oscillator.Kuramoto.state_variable_range = Final(field_type=<class 'dict'>, default={'theta': array([0.        , 6.28318531])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.oscillator.SupHopf.state_variable_range = Final(field_type=<class 'dict'>, default={'x': array([-5.,  5.]), 'y': array([-5.,  5.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.stefanescu_jirsa.ReducedSetFitzHughNagumo.state_variable_range = Final(field_type=<class 'dict'>, default={'xi': array([-4.,  4.]), 'eta': array([-3.,  3.]), 'alpha': array([-4.,  4.]), 'beta': array([-3.,  3.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose.a = NArray(label=':math:`a`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 3.0 
   attribute  tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose.b = NArray(label=':math:`b`', dtype=float64, default=array([3.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose.c = NArray(label=':math:`c`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 3.3 
   attribute  tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose.mu = NArray(label=':math:`\\mu`', dtype=float64, default=array([3.3]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose.state_variable_range = Final(field_type=<class 'dict'>, default={'xi': array([-4.,  4.]), 'eta': array([-25.,  20.]), 'tau': array([ 2., 10.]), 'alpha': array([-4.,  4.]), 'beta': array([-20.,  20.]), 'gamma': array([ 2., 10.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.wilson_cowan.WilsonCowan.state_variable_range = Final(field_type=<class 'dict'>, default={'E': array([0., 1.]), 'I': array([0., 1.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 0.27 
   attribute  tvb.simulator.models.wong_wang.ReducedWongWang.a = NArray(label=':math:`a`', dtype=float64, default=array([0.27]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.wong_wang.ReducedWongWang.state_variable_range = Final(field_type=<class 'dict'>, default={'S': array([0., 1.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.wong_wang.ReducedWongWang.state_variable_boundaries = Final(field_type=<class 'dict'>, default={'S': array([0., 1.])}, required=True)
WARNING  default contains values out of the declared domain. Ex 10.0 
   attribute  tvb.simulator.models.wong_wang_exc_inh.ReducedWongWangExcInh.tau_i = NArray(label=':math:`\\tau_i`', dtype=float64, default=array([10.]), dim_names=(), ndim=None, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.wong_wang_exc_inh.ReducedWongWangExcInh.state_variable_range = Final(field_type=<class 'dict'>, default={'S_e': array([0., 1.]), 'S_i': array([0., 1.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.wong_wang_exc_inh.ReducedWongWangExcInh.state_variable_boundaries = Final(field_type=<class 'dict'>, default={'S_e': array([0., 1.]), 'S_i': array([0., 1.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.zerlaut.ZerlautFirstOrder.state_variable_range = Final(field_type=<class 'dict'>, default={'E': array([0. , 0.1]), 'I': array([0. , 0.1]), 'W': array([  0., 100.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.simulator.models.zerlaut.ZerlautSecondOrder.state_variable_range = Final(field_type=<class 'dict'>, default={'E': array([0. , 0.1]), 'I': array([0. , 0.1]), 'C_ee': array([0., 0.]), 'C_ei': array([0., 0.]), 'C_ii': array([0., 0.]), 'W': array([  0., 100.])}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.datatypes.time_series.TimeSeries.labels_dimensions = Attr(field_type=<class 'dict'>, default={}, required=True)
WARNING  Field seems mutable and has a default value. Consider using a lambda as a value factory 
   attribute tvb.datatypes.projections.ProjectionMatrix.conductances = Attr(field_type=<class 'dict'>, default={'air': 0.0, 'skin': 1.0, 'skull': 0.01, 'brain': 1.0}, required=False)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.coupling.HyperbolicTangent.b = NArray(label=':math:`b`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)
WARNING  default contains values out of the declared domain. Ex 1.0 
   attribute  tvb.simulator.coupling.Kuramoto.a = NArray(label=':math:`a`', dtype=float64, default=array([1.]), dim_names=(), ndim=None, required=True)

Compute functional connectivity with the corrcoef analyzer

This demo shows how to build a region time series object from simulated data and then apply a time series analyzer, corrcoef in this case, to the time series, resulting in functional connectivity.

First, we build the simulator

In [2]:
# neural mass model parameters
pars = {'a': numpy.array([1.8])}

# sampling frequency
sfreq = 2048.0

conn=connectivity.Connectivity.from_file()
conn.speed=numpy.array([4.0])
sim = simulator.Simulator(
    model=models.Generic2dOscillator(**pars),
    connectivity=conn,
    coupling=coupling.Linear(a=numpy.array([0.033])),
    integrator=integrators.HeunStochastic(dt=0.06103515625, noise=noise.Additive(nsig=numpy.array([2 ** -10, ]))),
    monitors=(monitors.TemporalAverage(period=1e3 / sfreq),
              monitors.ProgressLogger(period=2e3)),
    simulation_length=16e3
).configure()
WARNING  File 'hemispheres' not found in ZIP.

and then run it

In [3]:
(tavg_time, tavg_samples), _ = sim.run()
   INFO  step 1 time 0.0001 s
   INFO  step 32769 time 2.0001 s
   INFO  step 65537 time 4.0001 s
   INFO  step 98305 time 6.0001 s
   INFO  step 131073 time 8.0001 s
   INFO  step 163841 time 10.0001 s
   INFO  step 196609 time 12.0001 s
   INFO  step 229377 time 14.0001 s

For the analyzer, we build a time series object,

In [4]:
tsr = TimeSeriesRegion(connectivity=sim.connectivity,
                       data=tavg_samples,
                       sample_period=sim.monitors[0].period)
tsr.configure()

and create & evaluate the analysis

In [5]:
def ev(tsr):
    input_shape = tsr.data.shape
    result_shape = (input_shape[2], input_shape[2], input_shape[1], input_shape[3])
    result = numpy.zeros(result_shape)

    for mode in range(result_shape[3]):
        for var in range(result_shape[2]):
            data = tsr.data[:,var,:, mode].squeeze()
            result[:, :, var, mode] = numpy.corrcoef(data.T)

    corr_coeff = graph.CorrelationCoefficients(source=tsr, array_data=result)
    return corr_coeff
In [6]:
result = ev(tsr)

FC = result.array_data[..., 0, 0]

print(FC.shape)
(76, 76)

and display the resulting triangular matrix

In [7]:
plot_tri_matrix(FC,
                cmap=pyplot.cm.RdYlBu_r, 
                node_labels= sim.connectivity.region_labels,
                size=[10., 10.],
                color_anchor=(-1.0, 1.0));
In [ ]: