Deductions from the enzyme model of the nerve

McIlroy D.K. (1970) Deductions from the enzyme model of the nerve. Mathematical Biosciences, 9 C: 135-146. doi:10.1016/0025-5564(70)90098-2

Author McIlroy D.K.
Title Deductions from the enzyme model of the nerve
Journal name Mathematical Biosciences   Check publisher's open access policy
ISSN 0025-5564
Publication date 1970
Sub-type Article (original research)
DOI 10.1016/0025-5564(70)90098-2
Volume 9
Issue C
Start page 135
End page 146
Total pages 12
Subject 1100 Agricultural and Biological Sciences
1105 Dentistry
Abstract The following deductions are made from the enzyme model of the axonal membrane [9, 11]. 1. Theoretical depolarization-repolarization curves of the axonal membrane conductances under voltage clamp are shown to exhibit the main features of the experimental records. 2. The theoretical nerve impulse arising from integration of the differential equations describing the model for the case of the natural squid giant axon is produced and its features discussed. 3. Following a sudden voltage-clamped depolarization of the natural squid giant axon, the (time) averaged concentration of sodium ion in the region of the axonal membrane responsible for the control of sodium permeability is deduced as a function of depolarization. 4. Through a discussion of the interaction of the protolytic systems that control pH in the model, it is shown that the number of protons involved in a critical change of membrane pH, though apparently very small, is in fact appreciable, leading to a large relative change in the membrane permeability-controlling enzyme systems. 5. The effect of application of acetylcholine to the enzyme model of the axonal membrane is considered and it is inferred that the model supports the Nachmansohn idea [12] of permeability barriers sorrounding the membrane.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
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