Plant RE (1976) The geometry of the Hodgkin±Huxley model. Comp Prog Biomed 6: 85±91R.E.Plant.Geometry of the Hodgkin - Huxley model. Computer Programs in Biomedicine . 1976Plant, R. E.: The geometry of the Hodgkin-Huxley model. Comp. Progs. Biomed. 6 , 85–91 (1976)...
In this study, we clearly defined and calculated neural energy supply and consumption based on the Hodgkin-Huxley model, during firing action potentials and sub-threshold activities using ion-counting and power-integral model. Furthermore, we analyzed energy properties of each ion channel, and found...
This preference for entrainment over chaos is explained by the structure of the Hodgkin-Huxley phase resetting curve.doi:10.1137/050631677Kevin K. LinQuantitative BiologyLin KK. Entrainment and chaos in a pulse-driven Hodgkin–Huxley oscillator. SIAM J. Appl. Dyn. Syst. 5:179–204, 2006....
This paper presents a rigorous and comprehensive nonlinear circuit-theoretic foundation for thememristive Hodgkin–Huxley Axon Circuit model. We show that the Hodgkin–Huxley Axon comprises apotassium ion-channel memristorand asodium ion-channel memristor, along with some mundane circuit elements. From th...
Interspike interval statistics in the stochastic Hodgkin-Huxley model: Coexistence of gamma frequency bursts and highly irregular firing. Neural Comput. 19, 1215–1250 (2007). 24. Skaugen, E. & Walloe, L. Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley ...
We show that the Hodgkin–Huxley Axon comprises apotassium ion-channel memristorand asodium ion-channel memristor, along with some mundane circuit elements. From this new perspective, many hitherto unresolvedanomalousphenomena and paradoxes reported in the literature are explained and clarified. The yet...
This preference for entrainment over chaos is explained by the structure of the Hodgkin-Huxley phase resetting curve. 展开 关键词: entrainment and phase-locking strange attractors Hodgkin-Huxley model driven nonlinear oscillators DOI: 10.1137/050631677 ...
The Hodgkin-Huxley model describes action potential generation in certain types of neurons and is a standard model for conductance-based, excitable cells. Following the early work of Winfree and Best, this paper explores the response of a spontaneously spiking Hodgkin-Huxley neuron model to a ...
Hodgkin–Huxley modelmethod of lines (MOLordinary differential equation (ODEpartial differential equation (PDESummary A mathematical model for excitable media, with application to neuron dynamics, was proposed by Fitzhugh as a special case of an earlier model by Hodgkin and Huxley. The Fitzhugh model...
potassium/ improved Hodgkin-Huxley modelK channelFokker-Planck equationK conductancepartial difference equationpopulation distribution functionThis paper demonstrates the derivation of Hodgkin-Huxley-like equations from the Fokker-Planck equation. The primary result is that instead of the familiar g K=g Kn...