Talk:Quadratic integrate and fire

TODO:

• Add examples and figures of QIF
• Show nondimensionalization of QIF with units
• Include various properties of QIF
• Include more context/sources
• Make article more accessible — Preceding unsigned comment added by BBAmp (talk • contribs) 12:57, 11 December 2014 (UTC)
• Include numerical scheme — Preceding unsigned comment added by BBAmp (talk • contribs) 13:03, 11 December 2014 (UTC)

BBAmp (talk) 07:07, 11 December 2014 (UTC)

What are the variables??

We see this:

${\frac {dx}{dt}}=x^{2}+I$

I'm guessing t is time. But what is x? And what units is it measure in? Voltage? Charge (in coulombs)? Something else? Michael Hardy (talk) 20:09, 12 December 2014 (UTC)

The variable $x$ is meant to represent the membrane voltage of a neuron and $I$ is meant to represent some input current to the membrane. Units for $x$ can be taken to be Voltage (mV) and $I$ can be taken to be Amps (nA), but they are often dimensionless because the units don't quite work out in the above form. AppliedMathematician (talk) 14:20, 28 September 2023 (UTC)

It this supposed to be a linear integrate and fire?

The actual formula for QIF neuron is ${\frac {dv}{dt}}=-{\frac {v(1-v)}{\tau _{m}}}+I$ With $\tau _{m}$ being the membrane time constant. The point of using a QIF neuron as opposed to LIF is that the sub-threshold voltage should have an inflection point, before a spike. This would closely mimic HH equation with low computational cost

Hi, "Actual" is relative. The above form is a perfectly valid version of the QIF neuron AppliedMathematician (talk) 14:21, 28 September 2023 (UTC)