Connectivity normalization

With significant variability between methods of obtaining structural connectivity, it is often useful to normalize, in one sense or another, the connectivity when comparing, for example, across subjects, or standardizing parameter ranges.

In [1]:
%pylab nbagg
from tvb.simulator.lab import connectivity , plot_connectivity
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)
In [2]:
conn = connectivity.Connectivity.from_file()
conn.configure()

def plot_with_weights(weights):
    conn = connectivity.Connectivity.from_file()
    conn.configure()
    conn.weights = weights
    plot_connectivity(conn, num="tract_mode", plot_tracts=False)

plot_with_weights(conn.scaled_weights(mode='tract'))
WARNING  File 'hemispheres' not found in ZIP.
WARNING  File 'hemispheres' not found in ZIP.
In [3]:
plot_with_weights(conn.scaled_weights(mode='region'))
plot_with_weights(conn.scaled_weights(mode='none'))
plot_with_weights(conn.transform_binarize_matrix())
plot_with_weights(conn.transform_remove_self_connections())
WARNING  File 'hemispheres' not found in ZIP.
WARNING  File 'hemispheres' not found in ZIP.
WARNING  File 'hemispheres' not found in ZIP.
WARNING  File 'hemispheres' not found in ZIP.
In [ ]: