“…A number of e↵orts have focused on developing e cient GPU-based simulation algorithms for specific di↵erential-based spiking neuron models like the Hodgkin-Huxley model (Lazar and Zhou, 2012;Mutch et al, 2010), or variants of integrate-and-fire spiking neurons, like the Izhikevich model (Brette and Goodman, 2011;Fidjeland et al, 2009;Fidjeland and Shanahan, 2010;Han and Taha, 2010a,b;Krishnamani and Venkittaraman, 2010;Nageswaran et al, 2008;Vekterli, 2009;Yudanov, 2009;Yudanov et al, 2010). The advantage of di↵erential-based spiking neuron models is that the parameters describing the neural state tend to be few, and evolving neural dynamics can be computed from the di↵erential equations.…”