Analysis of the enzyme model of the nerve

McIlroy D.K. (1970) Analysis of the enzyme model of the nerve. Mathematical Biosciences, 8 1-2: 109-129. doi:10.1016/0025-5564(70)90145-8

Author McIlroy D.K.
Title Analysis of the enzyme model of the nerve
Journal name Mathematical Biosciences   Check publisher's open access policy
ISSN 0025-5564
Publication date 1970-01-01
Sub-type Article (original research)
DOI 10.1016/0025-5564(70)90145-8
Volume 8
Issue 1-2
Start page 109
End page 129
Total pages 21
Subject 1100 Agricultural and Biological Sciences
1105 Dentistry
Abstract The enzyme model of the nerve [11] is analyzed numerically and it is shown that with a suitable choice of the values of the parameters involved, the model is capable of reproducing the time-dependent voltage-clamp records of the axonal membrane conductances gK and gNa recorded by Hodgkin and Huxley (HH) [10] for depolarizations ≤63 mV. This result is achieved by describing gK and gNa by the same set of basic equations and by allowing only four of the parameters describing the enzyme system controlling the potassium permeability of the membrane to assume values different from those of their counterparts describing the enzyme system controlling the membrane sodium permeability. Possible defects of the model are discussed and a qualitative analysis is made of models that might reproduce the HH voltage-clamp records in the case of depolarizations (> 63 mV) corresponding to reverse electric fields. It is concluded that the enzyme model, involving far fewer functions and parameters (all of which are in principle identifiable at the molecular level) than the HH theoretical analysis (which involves only purely empirically determined functions and parameters) is capable of reproducing the complete set of HH voltage-clamp records of gK and gNa.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Created: Tue, 14 Jun 2016, 16:22:40 EST by System User