1 research outputs found
Spike and Tyke, the Quantized Neuron Model
Modeling spike firing assumes that spiking statistics are Poisson, but real
data violates this assumption. To capture non-Poissonian features, in order to
fix the inevitable inherent irregularity, researchers rescale the time axis
with tedious computational overhead instead of searching for another
distribution. Spikes or action potentials are precisely-timed changes in the
ionic transport through synapses adjusting the synaptic weight, successfully
modeled and developed as a memristor. Memristance value is multiples of initial
resistance. This reminds us with the foundations of quantum mechanics. We try
to quantize potential and resistance, as done with energy. After reviewing
Planck curve for blackbody radiation, we propose the quantization equations. We
introduce and prove a theorem that quantizes the resistance. Then we define the
tyke showing its basic characteristics. Finally we give the basic
transformations to model spiking and link an energy quantum to a tyke.
Investigation shows how this perfectly models the neuron spiking, with over 97%
match