.. currentmodule:: brian2

.. Wang_Buszaki_1996:

Example: Wang_Buszaki_1996
==========================


        .. only:: html

            .. |launchbinder| image:: http://mybinder.org/badge.svg
            .. _launchbinder: https://mybinder.org/v2/gh/brian-team/brian2-binder/master?filepath=examples/frompapers/Wang_Buszaki_1996.ipynb

            .. note::
               You can launch an interactive, editable version of this
               example without installing any local files
               using the Binder service (although note that at some times this
               may be slow or fail to open): |launchbinder|_

        

Wang-Buszaki model
------------------

J Neurosci. 1996 Oct 15;16(20):6402-13.
Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model.
Wang XJ, Buzsaki G.

Note that implicit integration (exponential Euler) cannot be used, and therefore
simulation is rather slow.

::

    from brian2 import *
    
    defaultclock.dt = 0.01*ms
    
    Cm = 1*uF # /cm**2
    Iapp = 2*uA
    gL = 0.1*msiemens
    EL = -65*mV
    ENa = 55*mV
    EK = -90*mV
    gNa = 35*msiemens
    gK = 9*msiemens
    
    eqs = '''
    dv/dt = (-gNa*m**3*h*(v-ENa)-gK*n**4*(v-EK)-gL*(v-EL)+Iapp)/Cm : volt
    m = alpha_m/(alpha_m+beta_m) : 1
    alpha_m = 0.1/mV*10*mV/exprel(-(v+35*mV)/(10*mV))/ms : Hz
    beta_m = 4*exp(-(v+60*mV)/(18*mV))/ms : Hz
    dh/dt = 5*(alpha_h*(1-h)-beta_h*h) : 1
    alpha_h = 0.07*exp(-(v+58*mV)/(20*mV))/ms : Hz
    beta_h = 1./(exp(-0.1/mV*(v+28*mV))+1)/ms : Hz
    dn/dt = 5*(alpha_n*(1-n)-beta_n*n) : 1
    alpha_n = 0.01/mV*10*mV/exprel(-(v+34*mV)/(10*mV))/ms : Hz
    beta_n = 0.125*exp(-(v+44*mV)/(80*mV))/ms : Hz
    '''
    
    neuron = NeuronGroup(1, eqs, method='exponential_euler')
    neuron.v = -70*mV
    neuron.h = 1
    M = StateMonitor(neuron, 'v', record=0)
    
    run(100*ms, report='text')
    
    plot(M.t/ms, M[0].v/mV)
    show()
    

.. image:: ../resources/examples_images/frompapers.Wang_Buszaki_1996.1.png