The equilibrium potential for given ion could be calculated by the Nernst
equation:
(84)
E
ion
RT
= —ln
FZ
[ Ion] e
[ Ion]i
where R is the gas constant, T is the temperature, F is the Faraday’s constant, Z
is the valence of the ion, [Ion]e and [Ion]i are the ion concentrations in the
extracellular and in the intracellular space.
The voltage-dependent conductances GNa(t) and GK(t) are given by
(85) GNa(t) = GNmaaxfNa(t)
(86)
GK(t)= GKmaxfK(t)
where GNmaax and GKmax are the peak or maximal sodium and potassium
conductances per unit membrane area and fNa(t) and fK(t) are each the
corresponding (instantaneous) fraction of the maximal conductance which is
actually open (or active).
Thus the equation, which describes the membrane potential as a function of all
the currents that flow across it, is
(87)
Cm^v = GNSOx fNa (t)[ ENa - V (t)] + GJm’x f< (t)[ Ek - V (t)]
+GLmaxfL(t)[EL-V(t)]
+Iinjected(t)
The values for some of the parameters are: ENa = +60 mV, GNmaax = 120 mS/cm2,
EK= -93 mV, GKmax = 36 mS/cm2, EL= -60 mV and GLmax = 0.3 mS/cm2.
KK L L
50
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