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CbNeuron Class Reference

#include <cbneuron.h>

Inheritance diagram for CbNeuron:

SpikingNeuron MembranePatch Neuron MembranePatchSimple Forceable SynapseTarget Advancable csimClass CbHHOuINeuron CbHHOuNeuron CbNeuronSt HHNeuron TraubsHHNeuron bNACNeuron cACNeuron CbStOuNeuron dNACNeuron bNACOUNeuron cACOUNeuron dNACOUNeuron List of all members.

Detailed Description

A single compartment neuron with an arbitrary number of channels, conductance based, as well as current based synapses.

Model

The membrane voltage $V_m$ is governed by

\[ C_m \frac{V_m}{dt} = -\frac{V_m-E_m}{R_m} - \sum_{c=1}^{N_c} g_c(t) ( V_m - E_{rev}^c ) + \sum_{s=1}^{N_s} I_s(t) + \sum_{s=1}^{G_s} g_s(t)(V_m-E_{rev}^{(s)}) + I_{inject} \]

with the following meanings of symbols

At time $t=0$ $V_m$ ist set to $V_{init}$ .

The value of $E_m$ is calculated to compensate for ionic currents such that $V_m$ actually has a resting value of $V_\mathit{resting}$ .

Spiking and reseting the membrane voltage

If the membrane voltage $V_m$ exceeds the threshold $V_{tresh}$ the CbNeuron sends a spike to all its outgoing synapses.

The membrane voltage is reseted and clamped during the absolute refractory period of length $T_{refract}$ to $V_{reset}$ if the flag doReset=1. This is similar to a LIF neuron (see LifNeuron).

If the flag doReset=0 the membrane voltage is not reseted and the above equation is also applied during the absolute refractory period but the event of threshold crossing is transmitted as a spike to outgoing synapses. This is usfull if one includes channels which produce a real action potential (see HH_K_Channel and HH_Na_Channel) but one still just wants to communicate the spikes as events in time.

Implementation

The flag nummethod is set to 0 the exponential Euler method is used for numerical integration, otherwise the Crank-Nicolson. method.

Public Member Functions

Public Attributes

Protected Attributes

Private Attributes

Friends


Member Function Documentation

void CbNeuron::reset void   )  [virtual]
 

Reset the CbNeuron.

  • $V_m$ is set to $V_{init}$

  • $E_m$ is calculated such that for no input $V_m$ relaxes to $V_{resting}$ :
    • $E_m = R_m \cdot \left( V_{resting} G_{tot} - I_{ch} \right) $
    • $G_{tot} = \frac{1}{R_m} + \sum_{c=1}^{N_c} g_\infty(V_{resting})$
    • $I_{ch} = \sum_{c=1}^{N_c} g_\infty(V_{resting}) E_{rev}^c $

Reimplemented from MembranePatch.