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. Author manuscript; available in PMC: 2022 Oct 12.
Published in final edited form as: Commun Pure Appl Math. 2013 Oct 9;66(12):1837–1913. doi: 10.1002/cpa.21484

Table 1.2.

Hodgkin-Huxley gating functions.

For s = m,h,n:
s(v)=αs(v)αs(v)+βs(v) τs(v)=1αs(v)+βs(v)
where
αm(v)=(v+45)/101exp((v+45)/10) βm(v) = 4exp(−(v + 70)/18)
αh(v) = 0.07 exp(−(v + 70)/20) βh(v)=11+exp((v+40)/10)
αn(v)=0.1(v+60)/101exp((v+60)/10) βn(v) = 0.125exp(−(v + 70)/18)
with υ in mV, and α and β in ms−1