We present a tractable stochastic phase model of the temperature sensitivit
y of a mammalian cold receptor. Using simple linear dependencies of the amp
litude, frequency, and bias on temperature, the model reproduces the experi
mentally observed transitions between bursting, beating, and stochastically
phase-locked firing patterns. We analyze the model in the deterministic li
mit and predict, using a Strutt map, the number of spikes per burst for a g
iven temperature. The inclusion of noise produces a variable number of spik
es per burst and also extends the dynamic range of the neuron, both of whic
h are analyzed in terms of the Strutt map. Our analysis can be readily appl
ied to other receptors that display various bursting patterns following tem
perature changes.