.. currentmodule:: brian2

.. reliability:

Example: reliability
====================


        .. only:: html

            .. |launchbinder| image:: file:///usr/share/doc/python-brian-doc/docs/badge.svg
            .. _launchbinder: https://mybinder.org/v2/gh/brian-team/brian2-binder/master?filepath=examples/reliability.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|_

        

Reliability of spike timing.

See e.g. Mainen & Sejnowski (1995) for experimental results in vitro.

::

    from brian2 import *
    
    # The common noisy input
    N = 25
    tau_input = 5*ms
    neuron_input = NeuronGroup(1, 'dx/dt = -x / tau_input + (2 /tau_input)**.5 * xi : 1')
    
    # The noisy neurons receiving the same input
    tau = 10*ms
    sigma = .015
    eqs_neurons = '''
    dx/dt = (0.9 + .5 * I - x) / tau + sigma * (2 / tau)**.5 * xi : 1
    I : 1 (linked)
    '''
    neurons = NeuronGroup(N, model=eqs_neurons, threshold='x > 1',
                          reset='x = 0', refractory=5*ms, method='euler')
    neurons.x = 'rand()'
    neurons.I = linked_var(neuron_input, 'x') # input.x is continuously fed into neurons.I
    spikes = SpikeMonitor(neurons)
    
    run(500*ms)
    plt.plot(spikes.t/ms, spikes.i, '.k')
    xlabel('Time (ms)')
    ylabel('Neuron index')
    show()
    

