Dynamical Systems in Neuroscience:

Electrophysiology of Neurons 47Parameters (Fig. 2.20)Na + currents Eq. 2.11 Eq. 2.12V 1/2 k V max σ C amp C baseFast transient 1 I Na,t = ḡ m 3 h(V − E Na )activation −40 15 −38 30 0.46 0.04inactivation −62 −7 −67 20 7.4 1.2Fast transient 2 I Na,t = ḡ m ∞ (V )h(V − E Na )activation −30 5.5 − − − −inactivation −70 −5.8 τ h (V ) = 3 exp((−40 − V )/33)Fast transient 3 I Na,t = ḡ m ∞ (V )h(V − E Na )activation −28 6.7 − − − −inactivation −66 −6 τ h (V ) = 4 exp((−30 − V )/29)Fast persistent 4,a I Na,p = ḡ m ∞ (V )h(V − E Na )activation −50 4 − − − −inactivation −49 −10 −66 35 4.5 sec 2 secFast persistent 5,a I Na,p = ḡ m ∞ (V )(0.14 + 0.86h)(V − E Na )activation −50 6 − − − −inactivation −56 −7 τ h (V ) = 63.2 + 25 exp(−V/25.5)Fast persistent 2 I Na,p = ḡ m(V − E Na )activation −54 9 − − − 0.8Fast persistent 6 I Na,p = ḡ m(V − E Na )activation −42 4 − − − 0.81. Squid giant axon (Hodgkin and Huxley 1954); see Ex. 4.2. Thalamocortical neurons in rats (Parri and Crunelli 1999).3. Thalamocortical neurons in cats (Parri and Crunelli 1999).4. Layer-II principal neurons in entorhinal cortex (Magistretti and Alonso 1999).5. Large dorsal root ganglion neurons in rats (Baker and Bostock 1997, 1998).6. Purkinje cells (Kay et al. 1998).a Very slow inactivation.