By introducing a plausible model for the initiation of axonal impulses the output is obtained as a function of the input incoming impulses. If the temporal aspects of the excitatory process resulting from the afferent impulses are sufficiently rapid one obtains the discontinuous or microscopic model of McCulloch-Pitts. If these are sufficiently slow a continuous model, such as Rashevsky’s one or two factor theory, is a natural model. But the linear relation between the strength of excitation of one axon and excitatory factor of the next will not in general hold. However, under conditions which are not too restrictive the linear relation with threshold can be considered as satisfactory approximation over a fairly wide range of values.
[1]
Sadayoshi Kamiya,et al.
On the biophysics of vision
,
1958
.
[2]
H. Grundfest,et al.
Electrical inexcitability of synapses and some consequences in the central nervous system.
,
1957,
Physiological reviews.
[3]
W. Pitts,et al.
A Statistical Consequence of the Logical Calculus of Nervous Nets
,
1943
.
[4]
The relation between the intensity of excitation and the number of neurones traversed
,
1938
.
[5]
H. Landahl.
A note on the mathematical biophysics of central excitation and inhibition.
,
1945,
The Bulletin of mathematical biophysics.