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CSIM: LifBurstNeuron Class Reference
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LifBurstNeuron Class Reference

#include <lifburstneuron.h>

Inheritance diagram for LifBurstNeuron:

SpikingNeuron Neuron Forceable SynapseTarget Advancable csimClass List of all members.

Detailed Description

A nonstandart leaky-integrate-and-fire (I&F) neuron.

that produces bursts dependent on two additional variables analog to the implementation of dynamical synapses: see Kaske&Bertschinger "Traveling wave patterns..."

Model

A nonstandard leaky-integrate-and-fire neuron model is implemented where the membrane potential $V_m$ of a neuron is given by

\[ \tau_m \frac{d V_m}{dt} = -(V_m-V_{resting}) + R_m \cdot (I_{syn}(t)+I_{inject}+I_{noise}) \]

where $\tau_m=C_m\cdot R_m$ is the membrane time constant, $R_m$ is the membrane resistance, $I_{syn}(t)$ is the current supplied by the synapses, $I_{inject}$ is a non-specific background current and $I_{noise}$ is a Gaussion random variable with zero mean and a given variance noise. Vreset is modulated by u and r to produce spiking dependent on the previous spike pattern At time $t=0$ $V_m$ ist set to$V_{init}$ . If $V_m$ exceeds the threshold voltage$V_{thresh}$ it is reset to $V_{reset}$ and hold there for the length $T_{refract}$ of the absolute refractory period.

Implementation

The exponential Euler method is used for numerical integration.

Public Member Functions

  • virtual int updateInternal (void)
    Recalculate exp. Euler constants.
  • virtual void reset (void)
    Reset the leaky I&F neuron.
  • virtual double nextstate (void)
    Calculate the new membrane voltage and check wheter Vm exceeds the threshold V_thresh.
  • virtual int isRefractory (void)
    Returns 1 (0) if the neuron is (not) in its absolute refractory period.

Public Attributes

  • float Cm
    The membrane capacity $C_m$ [range=(0,1); units=F;].
  • float Rm
    The membrane resistance $R_m$ [units=Ohm; range=(0,1e30)].
  • float Vthresh
    If $V_m$ exceeds $V_{thresh}$ a spike is emmited. [units=V; range=(-10,100);].
  • float Vresting
    The resting membrane voltage. [units=V; range=(-1,1);].
  • float Vreset
    The default voltage to reset $V_m$ to after a spike. [units=V;range=(-1,1);].
  • float VBthresh
    spike pattern dependent treshold $V_m$ to after a spike. [units=V;range=(-1,1);]
  • float Vinit
    The initial condition for $V_m$ at time $t=0$ . [units=V; range=(-1,1);].
  • float Trefract
    The length of the absolute refractory period. [units=sec; range=(0,1);].
  • float Inoise
    The standard deviation of the noise to be added each integration time constant. [range=(0,1); units=A;].
  • float Iinject
    A constant current to be injected into the LIF neuron. [units=A; range=(-1,1);].
  • float uB
    internal parameter uB - recovery from spike facilitation with time constant FB
  • float rB
    internal parameter rB - recovery from spike depression with time constant DB
  • float FB
    FB time constant for recovery from facilitation of spike generation.
  • float DB
    DB time constant for recovery from depression of spike generation.
  • float UB
    UB constant for onset of facilitation of spike generation.

Protected Attributes

  • double Vm
    The membrane voltage $V_m$ [readonly; units=V;].
  • float Isyn
    synaptic input current

Private Attributes

  • int nStepsInRefr
    If positive then this counter tells us how many time steps we are still in the absolute refractory period.
  • double C1
    Internal constants for the exponential Euler integration of Vm.
  • float uB0
    uB0, rBO updated during spike,control facilitation and depression
  • double C3
    C3, C4 internal constants for exponential Euler integration of uB and rB.

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(C) 2003, Thomas Natschläger last modified 07/10/2006