期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 26, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127416300019
关键词
Oscillations; action potential; Barnacle giant muscle fibers; Morris-Lecar model; memristor; nonlinear resistor; Hopf bifurcation; subcritical; eigenvalues
资金
- US Air Force [FA9550-13-1-0136]
- EC Marrie Curie Fellowship
- National Research Foundation of Korea (NRF) grant - Korea government [2013R1A2A2A01068683]
- National Research Foundation of Korea [2013R1A2A2A01068683] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
The generation of action potentials (oscillations) in biological systems is a complex, yet poorly understood nonlinear dynamical phenomenon involving ions. This paper reveals that the time-varying calcium ion and the time-varying potassium ion, which are essential for generating action potentials in Barnacle giant muscle fibers are in fact generic memristors in the perspective of electrical circuit theory. We will show that these two ions exhibit all the fingerprints of memristors from the equations of the Morris-Lecar model of the Barnacle giant muscle fibers. This paper also gives a textbook reference to understand the difference between memristor and nonlinear resistor via analysis of the potassium ion-channel memristor and calcium ion-channel nonlinear resistor. We will also present a comprehensive in-depth analysis of the generation of action potentials (oscillations) in memristive Morris-Lecar model using small-signal circuit model and the Hopf bifurcation theorem.
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