nnmt.lif.exp

Collection of functions for LIF neurons with exponential synapses.

Network Functions

firing_rates(network[, method])	Calculates stationary firing rates for exp PSCs.
mean_input(network)	Calc mean inputs to populations as function of firing rates of populations.
std_input(network)	Calculates standard deviation of inputs to populations.
working_point(network[, method])	Calculates working point (rates, mean, and std input) for exp PSCs.
transfer_function(network[, freqs, method, ...])	Calculates the transfer function for each population for given frequencies.
fit_transfer_function(network)	Fits the transfer function (tf) of a low-pass filter to the passed tf.
effective_connectivity(network)	Effective connectivity for different frequencies.
propagator(network)	Propagator for different frequencies as in Eq.
sensitivity_measure(network, frequency[, ...])	Calculates sensitivity measure as in Eq.
sensitivity_measure_all_eigenmodes(network)	Calculates the _sensitivity_measure() for each eigenmode.
power_spectra(network)	Calcs vector of power spectra for all populations at given frequencies.
external_rates_for_fixed_input(network, ...)	Calculate external rates needed to get fixed mean and std input.
cvs(network)	Coefficient of variation of interspike intervals for multiple populations.
pairwise_effective_connectivity(network)	Calcs the pairwise effective connectivity matrix in linear response theory.
spectral_bound(network)	Calcs upper bound of eval spectrum of pairwise effective connectivity.
pairwise_covariances(network)	Calculates the pairwise covariances in linear response theory.

Parameter Functions

_firing_rates(J, K, V_0_rel, V_th_rel, ...)	Calculates stationary firing rates for exp PSCs.
_firing_rate_shift(mu, sigma, V_0_rel, ...)	Calculates stationary mean firing rates including synaptic filtering.
_firing_rate_taylor(mu, sigma, V_0_rel, ...)	Calcs stationary mean firing rates including synaptic filtering.
_firing_rates_for_given_input(mu, sigma, ...)	Calculates stationary mean firing rates including synaptic filtering.
_mean_input(*args, **kwargs)	Calc mean input for lif neurons in fixed in-degree connectivity network.
_std_input(*args, **kwargs)	Plain calculation of standard deviation of neuronal input.
_transfer_function(mu, sigma, tau_m, tau_s, ...)	Calculates the transfer function at given angular frequencies omegas.
_transfer_function_shift(mu, sigma, tau_m, ...)	Calcs value of transfer func for one population at given frequency omega.
_transfer_function_taylor(mu, sigma, tau_m, ...)	Calcs value of transfer func for one population at given frequency omega.
_fit_transfer_function(transfer_function, ...)	Fits the transfer function (tf) of a low-pass filter to the passed tf.
_derivative_of_firing_rates_wrt_mean_input(mu, ...)	Derivative of the stationary firing rates with respect to the mean input.
_derivative_of_firing_rates_wrt_input_rate(mu, ...)	Derivative of the stationary firing rates with respect to input rate.
_effective_connectivity(transfer_function, ...)	Effective connectivity for different frequencies.
_propagator(effective_connectivity)	Propagator for different frequencies as in Eq.
_match_eigenvalues_across_frequencies(...[, ...])	Resorts the eigenvalues of the effective connectivity matrix.
_sensitivity_measure(effective_connectivity, ...)	Calculates sensitivity measure as in Eq.
_sensitivity_measure_all_eigenmodes(...[, ...])	Calculates the _sensitivity_measure() for each eigenmode.
_power_spectra(nu, effective_connectivity, ...)	Calcs vector of power spectra for all populations at given frequencies.
_external_rates_for_fixed_input(mu_set, ...)	Calculate external rates needed to get fixed mean and std input.
_cvs(nu, mu, sigma, V_0_rel, V_th_rel, ...)	Coefficient of variation of interspike intervals for multiple populations.
_cvs_single_population(nu, mu, sigma, ...)	Coefficient of variation of interspike intervals for single population.
_pairwise_effective_connectivity(nu, mu, ...)	Calcs the pairwise effective connectivity matrix in linear response theory.
_spectral_bound(J_eff)	Calcs upper bound of eval spectrum of pairwise effective connectivity.
_pairwise_covariances(J_eff, nu, cvs[, ...])	Calculates the pairwise covariances in linear response theory.