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into trunk # Conflicts: # tvb/simulator/models/Zerlaut.py # tvb/simulator/models/__init__.py git-svn-id: https://repo.thevirtualbrain.org/svn/tvb/trunk/scientific_library@8861 1c0e02f0-7929-43c0-8fb3-3293bf43b0d1
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# -*- coding: utf-8 -*- | ||
# | ||
# | ||
# TheVirtualBrain-Scientific Package. This package holds all simulators, and | ||
# analysers necessary to run brain-simulations. You can use it stand alone or | ||
# in conjunction with TheVirtualBrain-Framework Package. See content of the | ||
# documentation-folder for more details. See also http://www.thevirtualbrain.org | ||
# | ||
# (c) 2012-2017, Baycrest Centre for Geriatric Care ("Baycrest") and others | ||
# | ||
# This program is free software: you can redistribute it and/or modify it under the | ||
# terms of the GNU General Public License as published by the Free Software Foundation, | ||
# either version 3 of the License, or (at your option) any later version. | ||
# This program is distributed in the hope that it will be useful, but WITHOUT ANY | ||
# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A | ||
# PARTICULAR PURPOSE. See the GNU General Public License for more details. | ||
# You should have received a copy of the GNU General Public License along with this | ||
# program. If not, see <http://www.gnu.org/licenses/>. | ||
# | ||
# | ||
# CITATION: | ||
# When using The Virtual Brain for scientific publications, please cite it as follows: | ||
# | ||
# Paula Sanz Leon, Stuart A. Knock, M. Marmaduke Woodman, Lia Domide, | ||
# Jochen Mersmann, Anthony R. McIntosh, Viktor Jirsa (2013) | ||
# The Virtual Brain: a simulator of primate brain network dynamics. | ||
# Frontiers in Neuroinformatics (7:10. doi: 10.3389/fninf.2013.00010) | ||
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""" | ||
Models based on Wong-Wang's work. | ||
This one is meant to be used by TVB, with an excitatory and an inhibitory population, mutually coupled. | ||
Following Deco et al 2014. | ||
.. moduleauthor:: Dionysios Perdikis <dionperd@gmail.com> | ||
""" | ||
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from numba import guvectorize, float64 | ||
from tvb.simulator.models.base import numpy, basic, arrays, ModelNumbaDfun, LOG | ||
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@guvectorize([(float64[:],)*21], '(n),(m)' + ',()'*18 + '->(n)', nopython=True) | ||
def _numba_dfun(S, c, ae, be, de, ge, te, wp, we, jn, ai, bi, di, gi, ti, wi, ji, g, l, io, dx): | ||
"Gufunc for reduced Wong-Wang model equations." | ||
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cc = g[0]*jn[0]*c[0] | ||
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if S[0] < 0.0: | ||
S_e = 0.0 # - S[0] # TODO: clarify the boundary to be reflective or saturated!!! | ||
elif S[0] > 1.0: | ||
S_e = 1.0 # - S[0] # TODO: clarify the boundary to be reflective or saturated!!! | ||
else: | ||
S_e = S[0] | ||
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if S[1] < 0.0: | ||
S_i = 0.0 # - S[1] TODO: clarify the boundary to be reflective or saturated!!! | ||
elif S[1] > 1.0: | ||
S_i = 1.0 # - S[1] TODO: clarify the boundary to be reflective or saturated!!! | ||
else: | ||
S_i = S[1] | ||
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jnSe = jn[0]*S_e | ||
x = wp[0]*jnSe - ji[0]*S_i + we[0]*io[0] + cc | ||
x = ae[0]*x - be[0] | ||
h = x / (1 - numpy.exp(-de[0]*x)) | ||
dx[0] = - (S_e / te[0]) + (1.0 - S_e) * h * ge[0] | ||
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x = jnSe - S_i + wi[0]*io[0] + l[0]*cc | ||
x = ai[0]*x - bi[0] | ||
h = x / (1 - numpy.exp(-di[0]*x)) | ||
dx[1] = - (S_i / ti[0]) + h * gi[0] | ||
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class ReducedWongWangExcIOInhI(ModelNumbaDfun): | ||
r""" | ||
.. [WW_2006] Kong-Fatt Wong and Xiao-Jing Wang, *A Recurrent Network | ||
Mechanism of Time Integration in Perceptual Decisions*. | ||
Journal of Neuroscience 26(4), 1314-1328, 2006. | ||
.. [DPA_2014] Deco Gustavo, Ponce Alvarez Adrian, Patric Hagmann, | ||
Gian Luca Romani, Dante Mantini, and Maurizio Corbetta. *How Local | ||
Excitation–Inhibition Ratio Impacts the Whole Brain Dynamics*. | ||
The Journal of Neuroscience 34(23), 7886 –7898, 2014. | ||
Equations taken from [DPA_2013]_ , page 11242 | ||
.. math:: | ||
x_{ek} &= w_p\,J_N \, S_{ek} - J_iS_{ik} + W_eI_o + GJ_N \mathbf\Gamma(S_{ek}, S_{ej}, u_{kj}),\\ | ||
H(x_{ek}) &= \dfrac{a_ex_{ek}- b_e}{1 - \exp(-d_e(a_ex_{ek} -b_e))},\\ | ||
\dot{S}_{ek} &= -\dfrac{S_{ek}}{\tau_e} + (1 - S_{ek}) \, \gammaH(x_{ek}) \, | ||
x_{ik} &= J_N \, S_{ek} - S_{ik} + W_iI_o + \lambdaGJ_N \mathbf\Gamma(S_{ik}, S_{ej}, u_{kj}),\\ | ||
H(x_{ik}) &= \dfrac{a_ix_{ik} - b_i}{1 - \exp(-d_i(a_ix_{ik} -b_i))},\\ | ||
\dot{S}_{ik} &= -\dfrac{S_{ik}}{\tau_i} + \gamma_iH(x_{ik}) \, | ||
""" | ||
_ui_name = "Reduced Wong-Wang with Excitatory and Inhibitory Coupled Populations" | ||
ui_configurable_parameters = ['a_e', 'b_e', 'd_e', 'gamma_e', 'tau_e', 'W_e', 'w_p', 'J_N', | ||
'a_i', 'b_i', 'd_i', 'gamma_i', 'tau_i', 'W_i', 'J_i', | ||
'I_o', 'G', 'lamda'] | ||
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# Define traited attributes for this model, these represent possible kwargs. | ||
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a_e = arrays.FloatArray( | ||
label=":math:`a_e`", | ||
default=numpy.array([310., ]), | ||
range=basic.Range(lo=0., hi=500., step=1.), | ||
doc="[n/C]. Excitatory population input gain parameter, chosen to fit numerical solutions.", | ||
order=1) | ||
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b_e = arrays.FloatArray( | ||
label=":math:`b_e`", | ||
default=numpy.array([125., ]), | ||
range=basic.Range(lo=0., hi=200., step=1.), | ||
doc="[Hz]. Excitatory population input shift parameter chosen to fit numerical solutions.", | ||
order=2) | ||
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d_e = arrays.FloatArray( | ||
label=":math:`d_e`", | ||
default=numpy.array([0.160, ]), | ||
range=basic.Range(lo=0.0, hi=0.2, step=0.001), | ||
doc="""[s]. Excitatory population input scaling parameter chosen to fit numerical solutions.""", | ||
order=3) | ||
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gamma_e = arrays.FloatArray( | ||
label=r":math:`\gamma_e`", | ||
default=numpy.array([0.641/1000, ]), | ||
range=basic.Range(lo=0.0, hi=1.0/1000, step=0.01/1000), | ||
doc="""Excitatory population kinetic parameter""", | ||
order=4) | ||
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tau_e = arrays.FloatArray( | ||
label=r":math:`\tau_e`", | ||
default=numpy.array([100., ]), | ||
range=basic.Range(lo=50., hi=150., step=1.), | ||
doc="""[ms]. Excitatory population NMDA decay time constant.""", | ||
order=5) | ||
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w_p = arrays.FloatArray( | ||
label=r":math:`w_p`", | ||
default=numpy.array([1.4, ]), | ||
range=basic.Range(lo=0.0, hi=2.0, step=0.01), | ||
doc="""Excitatory population recurrence weight""", | ||
order=6) | ||
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J_N = arrays.FloatArray( | ||
label=r":math:`J_{N}`", | ||
default=numpy.array([0.15, ]), | ||
range=basic.Range(lo=0.001, hi=0.5, step=0.001), | ||
doc="""[nA] NMDA current""", | ||
order=7) | ||
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W_e = arrays.FloatArray( | ||
label=r":math:`W_e`", | ||
default=numpy.array([1.0, ]), | ||
range=basic.Range(lo=0.0, hi=2.0, step=0.01), | ||
doc="""Excitatory population external input scaling weight""", | ||
order=8) | ||
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a_i = arrays.FloatArray( | ||
label=":math:`a_i`", | ||
default=numpy.array([615., ]), | ||
range=basic.Range(lo=0., hi=1000., step=1.), | ||
doc="[n/C]. Inhibitory population input gain parameter, chosen to fit numerical solutions.", | ||
order=9) | ||
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b_i = arrays.FloatArray( | ||
label=":math:`b_i`", | ||
default=numpy.array([177.0, ]), | ||
range=basic.Range(lo=0.0, hi=200.0, step=1.0), | ||
doc="[Hz]. Inhibitory population input shift parameter chosen to fit numerical solutions.", | ||
order=10) | ||
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d_i = arrays.FloatArray( | ||
label=":math:`d_i`", | ||
default=numpy.array([0.087, ]), | ||
range=basic.Range(lo=0.0, hi=0.2, step=0.001), | ||
doc="""[s]. Inhibitory population input scaling parameter chosen to fit numerical solutions.""", | ||
order=11) | ||
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gamma_i = arrays.FloatArray( | ||
label=r":math:`\gamma_i`", | ||
default=numpy.array([1.0/1000, ]), | ||
range=basic.Range(lo=0.0, hi=2.0/1000, step=0.01/1000), | ||
doc="""Inhibitory population kinetic parameter""", | ||
order=12) | ||
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tau_i = arrays.FloatArray( | ||
label=r":math:`\tau_i`", | ||
default=numpy.array([10., ]), | ||
range=basic.Range(lo=50., hi=150., step=1.0), | ||
doc="""[ms]. Inhibitory population NMDA decay time constant.""", | ||
order=13) | ||
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J_i = arrays.FloatArray( | ||
label=r":math:`J_{i}`", | ||
default=numpy.array([1.0, ]), | ||
range=basic.Range(lo=0.001, hi=2.0, step=0.001), | ||
doc="""[nA] Local inhibitory current""", | ||
order=14) | ||
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W_i = arrays.FloatArray( | ||
label=r":math:`W_i`", | ||
default=numpy.array([0.7, ]), | ||
range=basic.Range(lo=0.0, hi=1.0, step=0.01), | ||
doc="""Inhibitory population external input scaling weight""", | ||
order=15) | ||
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I_o = arrays.FloatArray( | ||
label=":math:`I_{o}`", | ||
default=numpy.array([0.382, ]), | ||
range=basic.Range(lo=0.0, hi=1.0, step=0.001), | ||
doc="""[nA]. Effective external input""", | ||
order=16) | ||
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G = arrays.FloatArray( | ||
label=":math:`G`", | ||
default=numpy.array([2.0, ]), | ||
range=basic.Range(lo=0.0, hi=10.0, step=0.01), | ||
doc="""Global coupling scaling""", | ||
order=17) | ||
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lamda = arrays.FloatArray( | ||
label=":math:`\lambda`", | ||
default=numpy.array([0.0, ]), | ||
range=basic.Range(lo=0.0, hi=1.0, step=0.01), | ||
doc="""Inhibitory global coupling scaling""", | ||
order=18) | ||
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state_variable_range = basic.Dict( | ||
label="State variable ranges [lo, hi]", | ||
default={"S_e": numpy.array([0.0, 1.0]), "S_i": numpy.array([0.0, 1.0])}, | ||
doc="Population firing rate", | ||
order=22 | ||
) | ||
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variables_of_interest = basic.Enumerate( | ||
label="Variables watched by Monitors", | ||
options=['S_e', 'S_i'], | ||
default=['S_e', 'S_i'], | ||
select_multiple=True, | ||
doc="""default state variables to be monitored""", | ||
order=23) | ||
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state_variables = ['S_e', 'S_i'] | ||
_nvar = 2 | ||
cvar = numpy.array([0], dtype=numpy.int32) | ||
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def configure(self): | ||
""" """ | ||
super(ReducedWongWangExcIOInhI, self).configure() | ||
self.update_derived_parameters() | ||
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def _numpy_dfun(self, state_variables, coupling, local_coupling=0.0): | ||
r""" | ||
Equations taken from [DPA_2013]_ , page 11242 | ||
.. math:: | ||
x_{ek} &= w_p\,J_N \, S_{ek} - J_iS_{ik} + W_eI_o + GJ_N \mathbf\Gamma(S_{ek}, S_{ej}, u_{kj}),\\ | ||
H(x_{ek}) &= \dfrac{a_ex_{ek}- b_e}{1 - \exp(-d_e(a_ex_{ek} -b_e))},\\ | ||
\dot{S}_{ek} &= -\dfrac{S_{ek}}{\tau_e} + (1 - S_{ek}) \, \gammaH(x_{ek}) \, | ||
x_{ik} &= J_N \, S_{ek} - S_{ik} + W_iI_o + \lambdaGJ_N \mathbf\Gamma(S_{ik}, S_{ej}, u_{kj}),\\ | ||
H(x_{ik}) &= \dfrac{a_ix_{ik} - b_i}{1 - \exp(-d_i(a_ix_{ik} -b_i))},\\ | ||
\dot{S}_{ik} &= -\dfrac{S_{ik}}{\tau_i} + \gamma_iH(x_{ik}) \, | ||
""" | ||
S = state_variables[:, :] | ||
S[S < 0] = 0. | ||
S[S > 1] = 1. | ||
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c_0 = coupling[0, :] | ||
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# if applicable | ||
lc_0 = local_coupling * S[0] | ||
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coupling = self.G * self.J_N * (c_0 + lc_0) | ||
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J_N_S_e = self.J_N * S[0] | ||
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x_e = self.w_p * J_N_S_e - self.J_i * S[1] + self.W_e * self.I_o + coupling | ||
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x_e = self.a_e * x_e - self.b_e | ||
H_e = x_e / (1 - numpy.exp(-self.d_e * x_e)) | ||
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dS_e = - (S[0] / self.tau_e) + (1 - S[0]) * H_e * self.gamma_e | ||
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x_i = J_N_S_e - S[1] + self.W_i * self.I_o + self.lamda * coupling | ||
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x_i = self.a_i * x_i - self.b_i | ||
H_i = x_i / (1 - numpy.exp(-self.d_i * x_i)) | ||
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dS_i = - (S[1] / self.tau_i) + H_i * self.gamma_i | ||
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derivative = numpy.array([dS_e, dS_i]) | ||
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return derivative | ||
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def dfun(self, x, c, local_coupling=0.0, **kwargs): | ||
x_ = x.reshape(x.shape[:-1]).T | ||
c_ = c.reshape(c.shape[:-1]).T + local_coupling * x[0] | ||
deriv = _numba_dfun(x_, c_, | ||
self.a_e, self.b_e, self.d_e, self.gamma_e, self.tau_e, | ||
self.w_p, self.W_e, self.J_N, | ||
self.a_i, self.b_i, self.d_i, self.gamma_i, self.tau_i, | ||
self.W_i, self.J_i, | ||
self.G, self.lamda, self.I_o) | ||
return deriv.T[..., numpy.newaxis] | ||
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