The ε transformation of enzyme activity: Application to the enzyme model of the nerve

McIlroy D.K. (1970) The ε transformation of enzyme activity: Application to the enzyme model of the nerve. Mathematical Biosciences, 8 3-4: 417-424. doi:10.1016/0025-5564(70)90121-5


Author McIlroy D.K.
Title The ε transformation of enzyme activity: Application to 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)90121-5
Volume 8
Issue 3-4
Start page 417
End page 424
Total pages 8
Subject 1100 Agricultural and Biological Sciences
1105 Dentistry
Abstract It is shown that for the family of activity versus pH curves, parameter a [1], of an enzyme based upon the Michaelis-Davidsohn model, the relative change of activity for a given change of pH is effectively independent of the value of a outside the inflections of the curve but, between the inflections, is strongly dependent on the value of this parameter. It follows that for enzyme processes occurring in cell membranes of low dielectric constant ε(≃8), only those that take place in the membrane pH range lying between the inflections of the activity curve will in general be radically affected under the ε transformation from the aqueous value ε0≃80 to ε≃8, which takes a0≪2 into a≃2. The article demonstrates, however, that such an ε transformation is vitally necessary to the enzyme model of the nerve [5,6] not because the dependence of enzyme activity on pH is strongest for a=2, as shown in [1], but because in the enzyme model of the nerve two enzymes, the acetylcholine-receptor and acetylcholine-esterase, must collaborate under common pH changes.
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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Created: Tue, 26 Jul 2016, 03:27:38 EST by System User