A circuit representation of the nerve axon membrane equations proposed by Hodgkin and Huxley is presented and discussed. In contrast with the usual circuit formulation found in the literature and based on ‘time-varying conductances’, all the elements of the present circuit are time-invariant and the whole structure is sufficiently detailed to become suitable for both theoretical and numerical investigations. In particular, this ‘change of perspective’ makes it possible to reproduce all the ‘classical’ results through the use of computer circuit analysis programmes and leads to some new considerations about the basic aspects of pulse generation mechanisms in the axon membrane.
On a circuit representation of the Hodgkin and Huxley nerve axon membrane equations
PARODI, MAURO;STORACE, MARCO
1997-01-01
Abstract
A circuit representation of the nerve axon membrane equations proposed by Hodgkin and Huxley is presented and discussed. In contrast with the usual circuit formulation found in the literature and based on ‘time-varying conductances’, all the elements of the present circuit are time-invariant and the whole structure is sufficiently detailed to become suitable for both theoretical and numerical investigations. In particular, this ‘change of perspective’ makes it possible to reproduce all the ‘classical’ results through the use of computer circuit analysis programmes and leads to some new considerations about the basic aspects of pulse generation mechanisms in the axon membrane.
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