Struct MontbrioMeanField 

pub struct MontbrioMeanField {
    pub r: f64,
    pub v: f64,
    pub delta: f64,
    pub eta: f64,
    pub tau: f64,
    pub j: f64,
    pub dt: f64,
    pub r_threshold: f64,
    pub gain: f64,
}

Montbrio-Pazo-Roxin 2015 — exact mean-field of QIF neuron population.

Reduces an infinite population of quadratic integrate-and-fire (QIF) neurons to 2 ODEs for the population firing rate r and mean membrane potential v. This is mathematically exact (not an approximation) for Lorentzian-distributed heterogeneity.

dr/dt = (delta / (pi * tau^2)) + (2 * r * v / tau) dv/dt = (v^2 + eta + I - (pi * tau * r)^2) / tau

where delta = heterogeneity width, eta = mean excitability, tau = membrane time constant, I = external input.

Spike emitted when r exceeds a threshold (proxy for population burst).

Montbrio, Pazo & Roxin, Phys Rev X 5:021028, 2015.

Fields

r: f64

v: f64

delta: f64

eta: f64

tau: f64

j: f64

dt: f64

r_threshold: f64

gain: f64

Implementations

impl MontbrioMeanField

pub fn new() -> Self

pub fn step(&mut self, current: f64) -> i32

pub fn reset(&mut self)

Trait Implementations

impl Clone for MontbrioMeanField

fn clone(&self) -> MontbrioMeanField

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for MontbrioMeanField

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for MontbrioMeanField

fn default() -> Self

Returns the “default value” for a type.