Partition of the Hodgkin-Huxley type model parameter space into the regions of qualitatively different solutions

DOI10.1007/BF00197721zbMath0745.92004OpenAlexW2078540694WikidataQ52434102 ScholiaQ52434102MaRDI QIDQ1192026

O. E. Dick, G. N. Akoev, Ya. A. Bedrov

Publication date: 27 September 1992

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00197721

zbMATH Keywords

Jacobian matrixsteady stateslinearized systemstable periodic oscillationsspectrum of eigenvaluesHodgkin-Huxley type systemtypes of stable solutionsvoltage-dependences

Mathematics Subject Classification ID

Neural biology (92C20) Qualitative theory for ordinary differential equations (34C99) Stability theory for ordinary differential equations (34D99)

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Cites Work

• Chaos in a three-variable model of an excitable cell
• Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations
• Ionic channel density of excitable membranes can act as a bifurcation parameter
• The bifurcation of periodic solutions in the Hodgkin-Huxley equations