scholarly journals Nerve impulse propagation: Mechanical wave model and HH model

2020 ◽  
Vol 137 ◽  
pp. 109540 ◽  
Author(s):  
Helmut Barz ◽  
Almut Schreiber ◽  
Ulrich Barz
Keyword(s):  
Nerve Impulse ◽  
Wave Model ◽  
Mechanical Wave ◽  
Impulse Propagation

Coherent Oscillations in Biological Systems I

1978 ◽  
Vol 33 (3) ◽  
pp. 294-304 ◽  
Author(s):  
Fr. Kaiser
Keyword(s):  
Limit Cycle ◽  
Biological Systems ◽  
Stable Limit Cycle ◽  
Nerve Impulse ◽  
Wave Model ◽  
Qualitative Description ◽  
Stable Limit ◽  
Brain Wave ◽  
Starting Point ◽  
The Brain

AbstractThe concept of long range coherence in biological systems of Fröhlich and its physical basis as well as his general theoretical considerations leading to the brain wave model are reviewed. The importance of these ideas is stressed both, as a possible explanation of the increasing experimental results and as a starting point to allow a theoretical description of biological events. The brain wave model is studied in detail. All possible bifurcations and the stability of the steady states is considered. The existence, stability and direction of bifurcation of a stable limit cycle is proven. The system may exhibit different types of phase transitions when it is externally disturbed. Phase plane diagrams, arguments of catastrophe theory and approximations to the model equations give a qualitative description of the system's time behaviour. Correspondence between this limit cycle model and nerve impulse generating models is established.

A model for nerve impulse propagation involving phase change in membrane lipid

1985 ◽  
Vol 111 (5) ◽  
pp. 256-260
Author(s):  
A. Lahiri ◽  
D.K. Goswami ◽  
Brahmananda Dasgupta
Keyword(s):  
Phase Change ◽  
Nerve Impulse ◽  
Membrane Lipid ◽  
Impulse Propagation
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