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,
}Expand description
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: f64Implementations§
Trait Implementations§
Source§impl Clone for MontbrioMeanField
impl Clone for MontbrioMeanField
Source§fn clone(&self) -> MontbrioMeanField
fn clone(&self) -> MontbrioMeanField
Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from
source. Read moreSource§impl Debug for MontbrioMeanField
impl Debug for MontbrioMeanField
Auto Trait Implementations§
impl Freeze for MontbrioMeanField
impl RefUnwindSafe for MontbrioMeanField
impl Send for MontbrioMeanField
impl Sync for MontbrioMeanField
impl Unpin for MontbrioMeanField
impl UnsafeUnpin for MontbrioMeanField
impl UnwindSafe for MontbrioMeanField
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T: ?Sized,
impl<T> BorrowMut<T> for Twhere
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fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
Source§impl<T> CloneToUninit for Twhere
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impl<T> CloneToUninit for Twhere
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impl<T> IntoEither for T
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Converts
self into a Left variant of Either<Self, Self>
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impl<T> Pointable for T
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impl<SS, SP> SupersetOf<SS> for SPwhere
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Checks if
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fn to_subset_unchecked(&self) -> SS
Use with care! Same as
self.to_subset but without any property checks. Always succeeds.§fn from_subset(element: &SS) -> SP
fn from_subset(element: &SS) -> SP
The inclusion map: converts
self to the equivalent element of its superset.