Discrete steady states of neuronal membranes consistent with an evolutionary principle

Bass L. (1971) Discrete steady states of neuronal membranes consistent with an evolutionary principle. Journal of Theoretical Biology, 33 3: 577-597. doi:10.1016/0022-5193(71)90098-1


Author Bass L.
Title Discrete steady states of neuronal membranes consistent with an evolutionary principle
Journal name Journal of Theoretical Biology   Check publisher's open access policy
ISSN 1095-8541
Publication date 1971-01-01
Sub-type Article (original research)
DOI 10.1016/0022-5193(71)90098-1
Open Access Status Not Open Access
Volume 33
Issue 3
Start page 577
End page 597
Total pages 21
Subject 1100 Agricultural and Biological Sciences
Abstract A biological principle for the nerve cell as a whole is proposed and formulated mathematically in terms of the integrability of a Pfaffian form. The principle ensures that the several specialized membranes on any one neuron permit a common steady state free of net electrical currents. It is suggested that there has been evolutionary pressure towards the implementation of the principle. In the presence of divalent ions the principle imposes conditions on the activity coefficients of all ionic species in each membrane. The adoption of a simple proposal of Tasaki concerning the effects of monovalent and divalent ions, respectively, on a negatively charged membrane, eliminates all but two discrete steady states. The two states are examined with regard to their membrane potentials, and then represented as eigenstates of a fixed charge operator. A simple equation for the non-steady state is proposed.
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: Sat, 09 Jul 2016, 15:36:04 EST by System User