Given a suitable means of generating the conductance functions,
G_{Na}(v,t) and G_{K}(v,t), one can readily stimulate the essential
aspects of the Modern Ionic Hypothesis. If we wish to do this
electronically, we have two problems. First, we must synthesize
a network whose input is the membrane potential and whose output
is a voltage or current proportional to the desired conductance
function. Second, we must transform the output from a voltage or
current to an effective electronic conductance. The former implies
the need for nonlinear, active filters, while the latter implies
the need for multipliers. The basic block diagram is shown in
Figure 7. Several distinct realizations of this system have been
developed in our laboratory, and in each case the results were the
same. With parameters adjusted to closely match the data of Hodgkin
and Huxley, the electronic model exhibits all of the important
properties of the axon. It produces spikes of 1 to 2 msec duration
with a threshold of approximately 5% to 10% of the spike amplitude.
The applied stimulus is generally followed by a prepotential, then
an active rise of less than 1 msec, followed by an active recovery.
The after-depolarization generally lasts several msec, followed by
a prolonged after-hyperpolarization. The model exhibits the typical
strength-duration curve, with rheobase of 5% to 10% of the spike
amplitude. For sufficiently prolonged sodium inactivation (long time
constant of recovery from inactivation), the model also exhibits an
effect identical to classical Wedensky inhibition (18). Thus, as would
be expected, the electronic model simulates very well the electrical
properties of the axon.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account