Gaussian version of a growth curve. More...

#include <growth_curve.h>

Inheritance diagram for nest::GrowthCurveGaussian:

Collaboration diagram for nest::GrowthCurveGaussian:

Public Member Functions
	GrowthCurveGaussian ()

void	get (Dictionary &d) const override

void	set (const Dictionary &d) override

double	update (double t, double t_minus, double Ca_minus, double z, double tau_Ca, double growth_rate) const override

Public Member Functions inherited from nest::GrowthCurve
virtual	~GrowthCurve ()

virtual bool	is (std::string n)

std::string	get_name ()

Private Member Functions
void	compute_local_ ()

Private Attributes
double	eta_

double	eps_

double	inv_zeta_

double	xi_

Additional Inherited Members
Protected Member Functions inherited from nest::GrowthCurve
	GrowthCurve (const std::string name)

Protected Attributes inherited from nest::GrowthCurve
const std::string	name_

Detailed Description

Gaussian version of a growth curve.

This class represents a Gaussian growth rule for the number of synaptic elements inside a neuron. The creation and deletion of synaptic elements when structural plasticity is enabled, allows the dynamic rewiring of the network during the simulation.

This type of growth curve uses a forward Euler integration method to update the number of synaptic elements: dz/dt = nu (2 * e^(- ((Ca(t) - xi)/z)^2 ) - 1) where xi = (eta + eps)/2, zeta = (eps - eta)/2 * sqrt(ln(2))), eta is the minimum calcium concentration required for any synaptic element to be created, eps is the target mean calcium concentration in the neuron and nu is the growth rate in elements/ms. The growth rate nu is defined in the SynapticElement class.

Parameters

eta	Minimum amount of calcium concentration that the neuron needs to start creating synaptic elements. eta can have a negative value, making the growth curve move its maximum to the left.
eps	The target calcium concentration that the neuron should look to achieve by creating or deleting synaptic elements.
nu	Growth rate in elements/ms. Can be negative.

See also: SynapticElement, SPManager, SPBuilder, GrowthCurveLinear

Author: Mikael Naveau (July 2013)

[1] Butz, Markus, Florentin Wörgötter, and Arjen van Ooyen. "Activity-dependent structural plasticity." Brain research reviews 60.2 (2009): 287-305. [2] Butz, Markus, and Arjen van Ooyen. "A simple rule for dendritic spine and axonal bouton formation can account for cortical reorganization after focal retinal lesions." PLoS Comput Biol 9.10 (2013): e1003259.